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Logo of nihpaAbout Author manuscriptsSubmit a manuscriptHHS Public Access; Author Manuscript; Accepted for publication in peer reviewed journal;
Annu Rev Phys Chem. Author manuscript; available in PMC 2012 August 26.
Published in final edited form as:
PMCID: PMC3427791

Coherent Nonlinear Optical Imaging: Beyond Fluorescence Microscopy


The quest for ultrahigh detection sensitivity with spectroscopic contrasts other than fluorescence has led to various novel approaches to optical microscopy of biological systems. Coherent nonlinear optical imaging, especially the recently developed nonlinear dissipation microscopy, including stimulated Raman scattering and two photon absorption, and pump-probe microscopy, including stimulated emission, excited state absorption and ground state depletion, provide distinct and powerful image contrasts for non-fluorescent species. Thanks to high-frequency modulation transfer scheme, they exhibit superb detection sensitivity. By directly interrogating vibrational and/or electronic energy levels of molecules, they offer high molecular specificity. Here we review the underlying principles, excitation and detection schemes, as well as exemplary biomedical applications of this emerging class of molecular imaging techniques.


Modern optical microscopy is intimately related to molecular spectroscopy. Fundamentally speaking, various optically induced molecular spectroscopic transitions, linear or nonlinear, coherent or incoherent, can all be used to provide distinct imaging contrast mechanisms for optical microscopy. As the underlying molecular spectroscopic and imaging scheme vary, the corresponding microscopy will exhibit different levels of detection sensitivity and provide contrast information with different degrees of molecular selectivity.

Fluorescence spectroscopy (1) and microscopy (2), combined with the ever-expanding palette of genetically encoded fluorescent proteins (3-5) or exogenous dyes or semiconductor nanocrystals (6), is currently the most popular imaging contrast used in biological studies. This is mainly because of the exquisite specificity given by the art of targeted probe labeling and the unprecedented sensitivity offered by the intense electronic transition dipole moment and background-free fluorescence detection. As such, various versatile fluorescence-based techniques have flourished such as confocal laser scanning (2), two-photon excited fluorescence (7), single-molecule microscopy (8, 9) and super-resolution imaging (10).

However, many molecular species are intrinsically non-fluorescent or only weakly fluorescent. In addition, fluorescent labels, natural or artificial, are often perturbative, especially for small molecules such as signaling peptides, metabolites, neurotransmitters and drugs, whose sizes are even smaller than the fluorescent labels. Moreover, it is better not to use labeling or staining with fluorophores in vivo medical applications on humans. Hence, optical imaging methods with high sensitivity and specific molecular contrasts other than fluorescence are highly desirable in biomedical and material science.

Unlike fluorescence which is an incoherent process, coherent nonlinear molecular spectroscopy can generate a plethora of optical signals that do not rely on fluorescence emission. Thus, they are extremely useful tools offering contrast mechanisms for label-free chemical imaging. Depending on the underlying nonlinear optical processes, they can be grouped into the following three distinct categories:

  1. parametric generation spectroscopy in which incident and outgoing laser fields exchange energy with each other while molecules remain in the ground state after interaction, including second harmonic generation, third harmonic generation, four-wave-mixing process, and coherent anti-Stokes Raman scattering (CARS);
  2. nonlinear dissipation optical spectroscopy in which molecules exchange energy with incident laser fields (normally at two different wavelengths, pump and probe, respectively) after interaction, including stimulated Raman scattering and two-photon absorption;
  3. pump-probe spectroscopy in which the pump pulse is used to excite molecules and the subsequent probe pulse to interrogate the transient states through stimulated emission, excited state absorption, or ground state depletion. In contrast to the above two categories, a certain time delay between the pump and probe pulses is often necessary to allow for dynamic evolution of the molecular states.

While the parametric generation spectroscopy has been extensively studied and utilized for optical microscopy, the demonstration and application of nonlinear dissipation spectroscopy and pump-probe spectroscopy for chemical imaging have only been recently explored. Experimentally, nonlinear dissipation microscopy and pump-probe microscopy all use femtosecond or picosecond mode-locked pulse trains, which have high peak power but low average power, and can employ a similar high-frequency modulation transfer scheme to achieve high sensitivity (11). In addition, these two categories carry specific spectroscopic signatures by directly interrogating vibrational resonance and/or electronic resonance energy levels of molecules.

A generic modulation transfer scheme for nonlinear dissipation microscopy and pump-probe microscopy is depicted in Fig.1. First, two temporally synchronized ultrafast laser pulse trains (pump and probe) are spatially combined and focused collinearly onto a common focal spot in the sample. Second, before the sample, the intensity (in principle other quantities such as frequency, phase and polarization as well) of the pump beam is modulated at a high frequency f (>1 MHz), while the probe beam is originally un-modulated. After interacting with the sample at the common focal volume, only the intensity of the probe beam is collected and detected by a photodiode. The readout of the photodiode is then demodulated by a lock-in amplifier to extract the modulation depth at the frequency f. Third, with the amount of the modulation transfer being registered for each pixel, a three-dimensional (3D) image is then constructed by scanning the combined pump/probe laser beams across the sample point-by-point with a laser scanning microscope.

Figure 1
Principle of nonlinear dissipation microscopy and pump-probe microscopy in which a high-frequency modulation transfer scheme is utilized. (a) The generic experimental scheme. Both pump and probe beams are focused onto a common focal spot with a microscope ...

The high frequency of f is crucial for achieving desirable imaging sensitivity. Laser intensity noise occurs primarily at low frequencies (from kHz to DC) in the form of the so-called 1/f noise, as shown in Fig.1(c). As f goes above the MHz range, the laser intensity noise gradually approaches the floor of quantum shot noise which is always present due to the stochastic arrivals of photons at the detector. Therefore, the narrow-band modulation/demodulation at f removes the low-frequency 1/f laser intensity noise and allows for shot-noise limited detection sensitivity. Moreover, as the focused laser beam is scanned across the specimen, the intensity variation due to scattering from heterogeneous biological samples will be filtered out by the high-frequency lock-in amplifier because those intensity variations occur at relatively slow scanning frequencies.

The same quantitative feature is shared among these modulation transfer techniques. Under the unsaturated condition, the signal strength, S, which is defined as the amount of intensity modulation generated to the originally unmodulated probe beam at the frequency f, is proportional to the product of the pump beam intensity, Ipump, the probe beam intensity, Iprobe, the analyte concentration, [c], and a specific molecular cross section of the analyte, σmolecule, for the corresponding optical process:


Because of the overall quadratic intensity dependence, the signal is only generated at the laser focus where the optical intensity is the highest. Such a nonlinearity allows for 3D optical sectioning without the use of a confocal pinhole, similar to two-photon excited fluorescence microscopy (7). This is also the reason why these techniques are considered as nonlinear optical microscopy. In addition, the linear concentration dependence of the analyte permits straightforward quantification, as opposed to the parametric generation microscopy which often exhibits quadratic concentration dependence. Table 1 summazies their important physical properties and the resulting desirable consequence in bio-imaging practice.

Table 1
Summary of physical properties of nonlinear dissipation microscopy and pump-probe microscopy and their desirable consequences in bio-imaging.


In all the parametric generation processes, a coherent radiation is generated at a color different from those of the incident laser beams, making its spectral separation and detection convenient. Hence, this is the category that has received the most extensive studies. Among them, second harmonic generation (12-14), third harmonic generation (15, 16) and four-wave-mixing (17-19) microscopy all utilize nonlinear electronic polarization of the molecules under laser pulse excitation. In particular, second harmonic generation, being sensitive to molecular symmetry breaking, has found useful applications in a number of biological systems such as imaging collagen distribution (20, 21) and membrane potential (14). However, because no real vibrational or electronic quantum states of the molecules are directly probed, the information about the internal molecular identity in these contrast mechanisms is limited.

Another member of the nonlinear parametric generation processes is CARS (22) which probes vibrational states of molecules and is intimately related to spontaneous Raman scattering. Due to the fact that spontaneous Raman cross sections are typically 10~12 orders of magnitudes smaller than the absorption cross section, spontaneous Raman microscopy often requires very long acquisition time (23). In addition, the unavoidable auto-fluorescence background of biological specimen often overwhelms the feeble spontaneous Raman signal from the target chemical species. As a third-order nonlinear Raman process, however, CARS is capable of circumventing the feebleness of spontaneous Raman scattering by driving and detecting the vibrational coherence of an ensemble of molecules within the laser focus (11, 22, 24, 25). In brief, when the energy difference, Ω, between the pump and probe (also called Stokes beam in the Raman literature) matches the energy gap, ωv, of a particular vibrational transition, Ω [equivalent] ωpumpωprobeωv, then the (difference frequency) beating between the pump and probe beams will drive the vibrational oscillators within the focus coherently in phase. As shown in Fig. 2(a), the resulting vibrational coherence (i.e. ρvib., the off-diagonal element of the density matrix characterizing the degree to which the molecules in the ensemble oscillate in unison) is further read out by additional scattering off the pump beam to generate a coherent radiation at the anti-Stokes frequency ωas = 2ωpumpωprobe.

Figure 2
Energy level diagrams of different third order nonlinear induced polarizations. (a) When the energy difference between pump and probe beam is resonant with a vibrational transition of the molecule, a strong resonant CARS signal at the anti-Stokes frequency ...

Quantitatively, the ratio between resonant CARS and spontaneous Raman emission radiation rates is approximately proportional to the number of vibrational oscillators, N, in the excitation volume and the square of the coherence amplitude ρvib.: rCARS/rspon.RamanN · |ρvib|. (26, 27). A crude estimate of the coherence follows ρvib. ≈ Ξpump · Ξprobe · τ/Δ, where Ξpump, probe is the Rabi frequency of pump or probe field, respectively, τ is the pulse length, and Δ is the detuning from the electronic resonance. While the intensity of incoherent emission of spontaneous Raman is simply proportional to the number of incoherent emitters, the CARS fields produced by coherent emitters add up in amplitude first and are then squared to produce intensity. Hence CARS intensity grows as the number of coherent emitters squared, which has been demonstrated in microscopy configuration experimentally (28). Therefore, it is the constructive interference among all the coherent vibrational oscillators within the focus that gives rise to amplification of the coherent radiation.

However, the CARS signal does not completely vanish even when Ω is tuned off from all the vibrational resonance, as many theoretical and experimental studies have verified. Such a “non-resonant background” is actually a four-wave-mixing parametric generation process (11, 24, 25), as shown in Fig. 2(b), and is generated by the nonlinear electronic response of the sample mediated through virtual states. This background poses serious problems for CARS microscopy in two interrelated ways (29-31). First, as described by the last term of the following equation,


the non-resonant background electric field distorts the CARS spectrum due to its constructive and destructive interference with the resonant vibrational contribution, Re[χR(3)(Ω)], on the red and blue sides of the Raman peak, respectively (22). Such a spectral distortion effect results in a CARS spectrum that differs from the corresponding spontaneous Raman spectrum (as illustrated by Fig. 3(a) and (b)), which is even more complicated in the congested fingerprint region. Second, it limits the detection sensitivity of CARS microscopy. In the scenario of dilute analytes, χR(3)(Ω)2χNR(3)2 and Eq. (2) simplifies to ICARS(Ω)χNR(3)2+2χNR(3)Re[χR(3)(Ω)]. The signal-to-noise ratio of CARS detection then becomes


where αχNR(3)2Ipump2Iprobe denotes the low-frequency intensity noise carried by the non-resonant background due to the 1/f noise of the excitation lasers, and χNR(3)IpumpIprobe is the shot noise of the non-resonant background. The shot noise limit is reached only in the ideal situation in which α is vanishing, SNRCARS2Re[χR(3)(Ω)]IpumpIprobe..

Figure 3
Comparison between CARS and SRS imaging. (a) The theoretical CARS spectrum resulted from interference between non-resonant background and real part of vibrational resonant contribution. (b)-(d) are forward CARS images of 3T3-L1 cells tuned across the ...

The first CARS microscope was reported in 1982 (32). The noncollinear geometry used did not allow 3D imaging and the visible dye laser employed generated large nonresonant background via two photon electronic resonance, which overwhelmed the vibrationally resonant signals. Because of these difficulties, the technique was not adopted for a long time. In 1999, three dimensional CARS imaging of living cells was achieved (33) by tightly focusing collinear pump and Stokes beams, which allowed 3D sectioning, and a near-infrared laser system was employed to suppresse the non-resonant background. This work triggered rapid developments and widespread activities.

Being a parametric generation processes, CARS needs to satisfy the phase matching condition, which is a consequence of the conservation of momentum. In conventional spectroscopy experiments as well the early microscopy work (32, 33), the CARS signal was detected in the phase matching direction. Under the tightly focusing condition for microscopy, however, the large cone angle of the k vectors of the pump and Stokes beams relax the phase matching condition. As a result, the CARS signal generated has a large cone angle of the k vector as well, even in the backward direction for an object with a size comparable to or smaller than the CARS wavelength, or for an interface between two media with different χ(3) (29, 34). This results from the constructive and destructive interference of CARS radiation from different parts of the sample. Hence the CARS image has a complicated dependence on the exact object geometry. Image deconvolution with a point spread function, as is often employed in fluorescence microscopy, is no longer possible. An example of this is shown in Fig. 3(g) for individual polymer bead that exhibits a donut shape image in the backward direction. The forward and backward images are not the same. Complication by such a spatial coherence effect makes the interpretation of CARS images difficult unless prior knowledge of the object’s exact geometry is available.

We note that another mechanism for CARS signal detected in the backward direction is the forward going CARS being reflected backward by scattering after focal plane, which explains the observed dot at the center of each bead in Fig 3(g). The backward reflected CARS in highly scattering tissue samples is strong enough to allow recording CARS movies on living animals with video rate (35). A major application of CARS microscopy in biomedicine has been in imaging structure and dynamics of lipids which have abundant C-H stretching oscillators with a spectrally isolated Raman band. Applications have been reported at various levels including cellular (36), tissue (37, 38) and organism (39, 40).

In the past decade, numerous methods have been developed to suppress or circumvent the non-resonant background, including epi detection (29, 34), polarization CARS (41, 42), time-resolved CARS (43), interferometric or heterodyne CARS (44-49), femtosecond pulse shaping (50-53), phase retrieval CARS (54, 55), and frequency modulation CARS (56, 57). These methods have demonstrated varying degrees of success in removal of the non-resonant background and simplification of image interpretation. However, most of them were hampered by increased complexity of instrumentation and data analysis. With the exception of interferometric CARS, all of these methods still cannot resolve the complication due to phase matching and spatial coherence. Moreover, in spatially heterogeneous biological samples, phase or polarization sensitive imaging methods are ultimately limited in sensitivity because of variations of the refractive index and birefringence.


The phenomenon of stimulated Raman scattering (SRS) was discovered immediately after the laser was invented (58-60). When a cell filled with nitrobenzene was introduced into a ruby laser cavity, Woodbury and Ng observed a rather strong emission at a new wavelength other than the fundamental wavelength of ruby laser, which was later understood as stimulated Raman gain (58). Two years later, a related phenomenon, stimulated Raman loss (or inverse Raman) was also discovered (59). Since then stimulated Raman spectroscopy has been performed on various physical and chemical systems (61-63). In particular, femtosecond stimulated Raman spectroscopy has been developed to provide vibrational structural information with both high temporal and spectral information of chromophore systems such as primary photoisomerization and green fluorescent protein (64, 65).

SRS probes the excited vibrational population instead of the vibrational coherence detected by CARS (11, 25, 60). When Ω is tuned into a vibrational resonance, Ω→ωv, due to the combined interaction of the incident pump and probe beams, the rate of the vibrational excitation will be greatly accelerated compared to that in spontaneous Raman scattering by a factor given by


where nprobe is the (normally large) number of photons in the optical mode of the probe beam (25). Such efficient excitation of a molecular vibrational level obviously requires energy input from the laser fields. As required by energy conservation, for each quantum of the vibrational excitation being excited, it is accompanied by one photon being annihilated from the pump beam and simultaneously a photon being created into the probe beam (Fig. 4 (a)). The resulting intensity loss in the pump beam is called stimulated Raman loss, and the intensity gain in the probe beam is called stimulated Raman gain.

Figure 4
Principle of stimulated Raman scattering microscopy. (a) Energy diagram of stimulated Raman scattering when the energy difference between pump and probe is resonant with a vibrational transition. Stimulated Raman gain of the probe beam and stimulated ...

Stimulated Raman gain and loss can also be understood in the semi-classical framework of nonlinear induced polarization (60) as an optical heterodyne phenomenon. When Ω→ωv, besides the CARS radiation at the anti-Stokes frequency, two other third-order induced polarizations, ppump and pprobe, are generated at the fundamental pump and probe frequencies, shown in Fig. 2(c) and (d), respectively: ppumpχR(3)(Ω)EpumpEprobe2 and pprobeχR(3)(Ω)EprobeEpump2ppump and pprobe propagate in the forward direction and interfere with the incident pump and probes fields with their corresponding phases. For stimulated Raman gain, pprobe constructively interferes with Eprobe and results in an intensity gain:


For stimulated Raman loss, ppump destructively interferes with Epump and results in an intensity loss:


Such an optical heterodyne interpretation is analogous to the picture that linear absorption can be treated as the destructive interference between the incident field and linear induced polarization of the molecule at the forward detector.

SRS as a contrast mechanism for microscopy was first reported using multiplex detection with a photodiode array in combination with a femtosecond amplified laser system (66). Although the amplified laser system generates a large SRS signal, it is not suitable for bio-imaging because the excessive peak power causes sample damage and the low repetition rate limits the image acquisition speed. Instead, using narrow-band picosecond pulse trains with high repetition rates, stimulated Raman scattering was later adapted into a high-frequency modulation transfer microscopy by several groups (67-69). Very recently, its multiplex version has been developed into a spectral imaging modality by using a spectrally shaped broadband excitation pulse (70). When the pump beam is blocked, the probe beam maintains its intensity after passing through the sample; when the pump beam is unblocked, the probe beam experiences stimulated Raman gain due to nonlinear interactions. Hence, a temporal modulation of the pump beam intensity at a frequency f would give rise to a modulation of the probe beam intensity, at the same frequency f, after interacting with the vibrational oscillators at the foci.

SRS imaging is free from the non-resonant background in CARS microscopy. Fig. 3(f) shows the simultaneous SRS CH2 image of the same worm sample in Fig. 3(e). Only purely lipid contrast is visible in SRS. This is so because, in the absence of a vibrational eigenstate that could hold the population and energy, energy simply cannot transfer from the pump beam to the probe beam, as required by energy conservation. In the optical heterodyne picture, the off-resonant polarization fields are either 90 degree ahead or 90 degree behind the incident pump or probe fields at the detector, which forbids any constructive or destructive interference (and hence intensity gain or loss) with the pump or probe beams from occurring.

Such a drastic contrast between SRS and CARS is analogous to the more familiar relation between absorption and Rayleigh scattering. While linear absorption by a molecule can be tuned off completely from its absorption band, Rayleigh scattering always occurs even if there is no resonance between the light and the molecule. Physically, scattering events can be mediated by a virtual state, while absorption events cannot. To some extent, SRS and CARS can be viewed as the nonlinear Raman analog of the linear absorption and Rayleigh scattering phenomena, respectively.

SRS overcomes all major difficulties associated with CARS microscopy, as summarized in Table 2. First, the absence of the non-resonant background eliminates the biggest obstacle for CARS imaging quantification and interpretation. Second, without the interference effect from the background, the SRS spectrum is identical to that of spontaneous Raman scattering (Fig. 4b), allowing the straightforward utilization of all the accumulated knowledge of Raman spectroscopy. Third, the detection sensitivity of SRS is demonstrated to be much higher than that of CARS microscopy. The signal-to-noise ratio of SRS detection may be written


where α · Iprobe denotes the laser intensity noise of the probe beam, and Iprobe is the shot noise of the probe beam intensity. Thanks to the high-frequency modulation and lock-in detection at a high f, α · Iprobe can be readily removed in SRS detection. With α → 0, SRS can reach the shot noise limit, with detectable ΔIp/Ip approaching 10−8 within one second of acquisition time.

Table 2
Comparison of spectroscopy and microsocpy aspects between CARS and SRS imaging.

It is worth noting that, based on Eqs. (3) and (6), SNRCARSα0SNRSRSα0 in the scenario in which laser intensity fluctuation can be completely eliminated and the shot noise (from non-resonant background and the probe beam for CARS and SRS, respectively) is the only remaining noise source. However, it is extremely hard for CARS to meet this ideal situation, because of the difficulty of employing an effective high frequency modulation technique. In CARS, when certain optical properties (e.g., frequency) of the pump or probe beam are modulated, the non-resonant background almost always leaves spurious intensity noise. In contrast, the probe beam in SRS is unperturbed before interacting with the sample, and its intensity noise can be circumvented with ease by modulation transfer.

Moreover, SRS exhibits a few other favorable properties over CARS (Table 2). The concentration dependence of CARS turns over from a quadratic in high concentration limit to a linear in the limit of low analyte concentration (Eq. (2)), with the exact quantitative relation depending on the nonlinear nature of the surrounding solvent. In contrast, the strict linear concentration dependence of SRS permits straightforward and reliable quantification. In addition, because SRS involves measurements of transmission differences of the input beams, SRS is automatically phase matched. Hence, there exists a well-defined point spread function that can be used for image deconvolution (Fig. 3(h)). Therefore, the image contrast in SRS microscopy is easy to understand, because it is free from spatial coherence artifacts.

Although the phase matching condition dictates that the SRS effect be detected by measuring the transmitted pump or Stoke beams in the forward direction, it is desirable to detect SRS in the backward direction for thick, non-transparent tissue samples as light does not penetrate through them. Fortunately, this can be done if a large area detector is used to collect a significant portion of the back-scattered light after the SRS signal is already generated at the laser focus (71).

Compared to spontaneous Raman microscopy, stimulated Raman scattering exhibits an orders-of-magnitude faster imaging speed by virtue of optical amplification of the vibrational excitation rate. Photon energy dissipates into vibrational levels during both Raman processes, but with drastically different efficiency. As shown by Eq. (4), the acceleration factor, rstim. Raman/rspon.Raman, could be estimated for the SRS imaging apparatus reported in Ref. (67). 5mM methanol, which corresponds to about 300,000 C-H vibrational oscillators within the laser focal volume, gives a stimulated Raman loss signal of about ΔISRS/Ip ~ 7×10−8. With a known σRaman ~ 10−29 cm2 for one C-H bond, the total spontaneous Raman scattering cross sections of 3*105 C-H vibrational oscillators will add up to be 3*10−24 cm2. Given the laser waist area of pump beam being 10−9 cm2 under a tight focus, one would expect to produce a relative spontaneous Raman scattering signal with ΔIspon.Raman/Ip = (3*10−24 cm2)/(10−9 cm2) ~ 3*10−15. Therefore, rstim.Raman/rspon.Raman is estimated to be as high as 7*10−8/3*10−15 ~ 107, which accounts for the orders-of-magnitude acceleration of imaging speed so that video-rate SRS microscopy for live animal imaging becomes feasible (71).

Having achieved label-free vibrational specificity, unprecedented imaging speed and superb detection sensitivity, SRS has opened up a wide range of chemical imaging applications in biomedical science and technology by targeting various vibrational bands (see Table 3). As shown in Fig. 5, live cells can be imaged without external labeling by directly targeting different chemical moieties (67-69). Tissue pathologies (72) and food products (73) can be analyzed without applying any dye staining. Reaction kinetics of biopolymer lignin under a chemical treatment can be imaged in situ with high spatial and temporal resolution (74). Small molecules such as drugs and metabolites can be monitored and followed inside tissues, as shown in Fig. 6. Lipid storage of C. elegans and its genetic regulation can be explored in vivo when combined with genetic manipulation of this model organism (75). As illustrated in Fig. 3 (e) and (f), unlike CARS microscopy, SRS only probes the lipid contribution from intestine and hypodermal without the non-resonant background contribution from other tissues, representing a major advantage for high-throughput genetic screening analysis. By implementing a multiplex spectral imaging mode with a spectrally shaped broadband excitation pulse, more specific and detailed spectral features in the congested C-H and O-H region (2800~3100cm−1) can be efficiently picked up even in the presence of interfering species (70).

Figure 5
SRS imaging of live cells at various spectral regions. (a) SRS image and (b) optical transmission microscope image of an unstained tobacco BY2 cultured cell with the Raman shift being set to 2967 cm−1. The nucleus and cell walls of a tobacco BY2 ...
Figure 6
Tissue imaging by SRS microscopy. Distributions of (a) topically applied compound retinoic acid and (b) penetration enhancer dimethyl sulfoxide (DMSO) in a mouse ear skin. These images were acquired when tuned into the Raman shifts (c) of retinoic acid ...
Table 3
Vibrational bands and corresponding Raman shifts used in SRS microscopy

Another nonlinear dissipation coherent process is two-photon absorption. Historically two-photon absorption was the first nonlinear quantum transition to be explored, having been predicted in 1931 by Goeppert-Mayer (76). The widely used two-photon excited fluorescence spectroscopy and microscopy (7) are based on the sensitive detection of the subsequent fluorescence emission following two-photon absorption by fluorophores. Two-photon absorption is a nearly simultaneous absorption of two low-energy photons in order to excite a molecule from one state (usually the ground state) to a higher energy electronic state. The sum of the energies of the two photons is resonant with the energy difference between the lower and upper states of the molecule. It fundamentally differs from linear optical absorption in that the strength of absorption depends on the square of the light intensity, and the quantuam mechancal selection rules are different.

Normally two-photon absorption as in two-photon excited fluorescence microscopy (7) is operated under a single beam mode in which molecules are excited by an ultrafast (normally femtosecond or picosecond) pulse train from a mode-locked laser such as a Titanium-Sapphire laser. The two photons involved are drawn from the same laser beam, and thus have similar frequencies within the laser pulse bandwidth. Hence it is difficult to distinguish these two photons spectrally with such a single beam mode.

Two-color dual beam excitation scheme permits two-photon absorption to be compatible with modulation transfer microscopy (77, 78). In principle, two-photon absorption can be equally induced by two photons with different colors, as long as the sum of the energies of the two photons again matches the targeted electronic transition, the two laser pulse trains are temporally synchronized and t overlapped in space. In such a dual-beam mode, blocking the intensity of either color terminates the absorption of the other color by the molecules, as the successful absorption event necessitates the simultaneous presence of the two beams. Two-photon absorption microscopy provides contrast mechanisms for non-fluoresscent chromophores that have appreciable two-photon absorption cross sections (77, 78), as shown in Fig. 7. In the area of biomedicine, examples include beta-carotene, oxy-hemoglobin, deoxy-hemoglobin, melanin and cytochromes.

Figure 7
Two-photon absorption microscopy. (a) Energy diagram of simultaneous two-photon absorption by a high-lying electronic state through an intermediate virtual state. (b) 3D volume rendering of two-photon absorption signal from human melanoma lesions obtained ...

Dual-beam two photon absorption microscopy and stimulated Raman scattering microscopy are spectroscopically related to each other. They both operate through simutaneous two photon transitions, with one photon drawn from the pump beam and one drawn from the probe beam, respectively, mediated through a virtual state. The difference is that, in the former, the probe photon continues to excite the molecule up to higher energy levels, while in the latter the probe photon brings the molecule down to the vibrational excited state in the ground electronic manifold. In addition, both the response functions of two photon absorption microscopy and stimulated Raman scattering microscopy for a given molcule are given by the imaginary part of third-order nonlinear susceptibility (25). The difference lies in the fact that the former corresponds to two-photon resonance while the latter is assocated with the vibrational resonance.


Pump-probe spectroscopy has been widely used to study the time-dependent ultrafast phenomena. In this section, we will discuss their applications in chemical imaging: stimulated emission microscopy, excited state absorption microscopy, and ground state depletion microscopy.

The theoretical foundation of stimulated emission was first established by Einstein in 1917 (79). The phenomenon was later confirmed experimentally in 1928. An atom or molecule in its excited electronic state can be stimulated down to the ground state by an incident photon with the appropriate frequency, resulting in the creation of a new coherent photon identical to the original incident one in all physical aspects including energy, polarization and phase.

From the perspective of the molecules, excited state population de-excitation occurs simultaneously with the stimulated emission process. Such a population dumping aspect has been utilized in spectroscopy and microscopy, such as in stimulated emission pumping (80), super-resolution fluorescence microscopy (81) and in fluorescence lifetime imaging (82). From the perspective of radiation fields, stimulated emission represents a process of intensity gaining of the incident field. This is precisely the working principle for light amplification in the laser.

The light-amplification aspect of stimulated emission has recently been demonstrated as a contrast mechanism for highly sensitive imaging of non-fluorescent chromophores (83), summarized in Fig. 8. Certain chromophores, such as haemoglobin and cytochromes, absorb light intensely but have undetectable fluorescence in practice. This is so because their spontaneous emission is dominated by their fast non-radiative decay (which can be four orders of magnitude faster than the their rate of spontaneous emission) from the excited state (84). With the introduction of a stimulated emission pulse with appropriate time delay and energy, the chromophore, after being photo-excited to the excited state by a pump pulse, is much more likely to be brought down to the ground state through the radiative decay (which consists of spontaneous emission and stimulated emission) channel compared to through the non-radiative decay. As a result of the new photons radiated by the molecule, the intensity of the stimulation beam is concurrently increased. Although the gain after interacting with the photo-excited chromophores is small, it can be extracted by high-frequency demodulation, making the chromophore detectable.

Figure 8
Stimulated emission microscopy. (a) Energy diagram of stimulated emission. (b) A pair of SEM images of toluidine blue O, a drug used as photosensitizer in photodynamic therapy, at two different z-depths (3 and 25 μm, respectively), delivered onto ...

The pump beam and probe beam have to be in the form of ultra-short (a few hundred femtoseconds) pulse trains to effectively interrogate the transient excited states, as the excited lifetimes of those non-fluorescent chromophores are extremely brief (less than one picosecond). Hence, the need for ultrashort pulses in stimulated emission microscopy is fundamentally different from that in parametric generation microscopy or nonlinear dissipation microscopy. As a result, the pump pulse train and the probe pulse train do not need to overlap in time. In fact, the probe pulse train is delayed (by a few hundred femtoseconds) with respect to the pump pulse train, to permit the molecule enough time to vibrationally relax on the electronic excited state. This delay is also useful to separate the stimulated emission from other instantaneous processes such as stimulated Raman scattering.

Stimulated emission microscopy exhibits a few advantages over direct one-beam absorption microscopy for bio-imaging, although they both probe the electronic spectrum of the chromophore. First, the stimulated emission signal is only generated at the laser spot, offering 3D sectioning. Second, the high frequency modulation transfer scheme provides shot-noise limited detection sensitivity, while one-beam absorption suffers from laser intensity noise at low frequencies. Third, the absorption approach cannot distinguish true optical absorption from light scattering from heterogeneous biological samples, as both effects are manifested as light extinction at the detector. In contrast, stimulated emission microscopy measures the response of the probe beam intensity only at the pump beam modulation frequency, filtering out the probe beam intensity variations due to sample scattering at low frequencies.

Another pump-probe microscopy is based on excited state absorption, as shown in Fig. 9. Compared to two-photon absorption via an intermediate virtual state, excited state absorption can significantly enhance the overall signal by bringing a resonance between a real intermediate electronic state with the pump beam (85-87). For example, ex vivo and in vivo imaging of blood vessels in mouse ears have been demonstrated with dual beam 775nm and 650nm, by using the charge transfer absorption band of oxy-hemoglobin and deoxy-hemoglobin in the near IR. Such an excited state absorption imaging modality opens possibilities for oxygenation imaging based on differences in excited-state dynamics between oxy-hemoglobin and deoxy-hemoglobin (87).

Figure 9
Excited state absorption microscopy. (a) Energy diagram of sequential two-photon absorption via an intermediate electronic energy state. (b) Bright field image and a series of laser scanning two-color excited-state absorption images from blood at various ...

Finally modulation transfer microscopy can also be applied to ground state depletion spectroscopy. Unlike stimulated emission, ground state depletion employs pump and probe pulses that are both resonant with the absorption band of the chromophore of the ground state (Fig 10(a)). In the absence of the pump pulse, the probe pulse is getting absorbed and attenuated by the chromophores. But after being excited to the higher electronic state by the pump pulse, the chromophore would then absorb the subsequent probe pulse to a lesser extent, because of the transient depletion of the ground state population. Hence, the presence of the pump beam will result in a relative gain of the probe beam intensity.

Figure 10
Ground state depletion micro-spectroscopy of single molecules. (a) Energy diagram of ground state depletion. (b) Ground state depletion signal as a function of concentration of aqueous Atto647N solution. The blue inset indicates the data points at lowest ...

The ground state depletion effect can also be created by using continuous-wave laser beams under steady state condition. Very recently, it has been employed to detect an absorption signal from single molecules in condensed phase at room temperature with shot-noise limited sensitivity (88). As shown in Fig. 10, the peak value of ground state depletion signal from a single Atto647N molecule in PMMA film, δδP/P~13.5×10−8, coincides well with the lateral position of the peak in the simultaneous fluorescence scan. As expected, average of the scanned lines across the photobleached molecule exhibits no signal.


While fluorescence labeling and imaging have become increasingly sophisticated (89-91), many more molecular species cannot or should not be labeled in biomedicine and material sciences. To this end, coherent nonlinear optical microscopy, especially nonlinear dissipation microscopy and pump-probe microscopy, represents an emerging direction for non-fluorescent optical imaging with high sensitivity and specificity. Exciting applications in various areas are expected for many years to come.


  1. What is the ultimate sensitivity of stimulated Raman scattering microscopy? Can special laser excitation sources significantly enhance the coherence amplitude ρvib.?
  2. Can principles (such as entangled photons or squeezed light) and techniques in quantum optics could be borrowed to surmount the shot-noise limited detection sensitivity?
  3. Can modulation of other optical properties (such as the frequency, polarization and phase) of the pump beam bring advantages over intensity modulation?
  4. How to achieve super-resolution (beyond the diffraction-limited resultion) imaging for coherent nonlinear optical microscopy?
  5. Can fiber delivery and fiber-based laser sources reduce the cost and complexity of microscopy systems?


  1. Non-fluorescent molecules can be imaged in 3D with high sensitivity and specificity by nonlinear dissipation microscopy and pump-probe microscopy through a modulation transfer scheme.
  2. High frequency modulation, together with the associated phase-sensitive lock-in detection, removes all the low-frequency laser intensity noise and permits shot-noise limited sensitivity. For biological samples, this avoids the contribution from linear scattering due to heterogeneous refractive index. The ultimate single-molecule sensitivity has already been achieved in a ground state depletion experiment.
  3. Compared to the class of parametric generation microscopy, nonlinear dissipation microscopy and pump-probe microscopy exhibit much improved molecular specificity, by directly interrogating real electronic or vibrational transitions instead of the intermediate virtual states.
  4. The stimulated coherent excitation of vibrational oscillators by the joint action of pump and Stokes (probe) photons gives rise to a much more efficient vibrational excitation than that of spontaneous Raman microscopy, resulting in orders-of-magnitude improvement in acquisition speed.
  5. SRS microscopy overcomes the long-standing difficult of non-resonant background in CARS microscopy, by detecting the direct energy transfer from the laser fields to the vibrational states instead of reading out the vibrational coherence. With the removal of such a background, SRS display a variety of advantages over CARS microscopy, notably, the clean and undistorted spectrum, the shot-noise-limited sensitivity, the strict linear concentration dependence, and the existence of a well-defined point spread function.
  6. Two-photon absorption and excited-state absorption microscopy take advantage of the large two-photon absorption cross section of many biomolecules for tissue imaging.
  7. Stimulated emission microscopy is capable of image non-fluorescent chromophores with superb sensitivity by virtue of optical amplification of molecular radiation.

(Optical) shot noise: intrinsic statistical uncertainty of the measured light intensity due to the stochastic arrivial of light particles, i.e. photons.

Virtual state: a short-lived intermediate quantum state that mediates otherwise forbidden transitions in a multi-step process.

χ(3): third-order polarizability which describes the nonlinear tendency of the charge distribution of a molecule to be distorted by an external strong electric field.

ρvib.: off-diagonal element of the density matrix characterizing the coherence between the ground vibrational state and the first excited vibrational state, and the degree to which the molecules in the ensemble oscillate in unison.

Non-resonant CARS background: a four-wave-mixing parametric process generated by the nonlinear electronic response of the sample mediated through virtual states.

k vector: a vector with it s magnitude inversely proportional to the wavelength and its direction paralel to the direction of wave propogation.

Lock-in amplifier: a type of amplifier that can extract a small signal with a known carrier wave from an extremely noisy environment

Chromoproteins: proteins that contains non-fluorescent pigments and hence are capable of absorbing light.


We wish to thank many colleagues and collaborators who have contributed to the development and applications of stimulated Raman scattering microscopy, stimulated emission microscopy and ground state depletion microscopy, in particular, B. G. Saar, Shasha Chong, G. R. Holtom, M. Roeffaers, X. Zhang, R. Roy, J. C. Tsai, J. X. Kang, M. C. Wang, S. Y. Ding, and G. Ruvkun. This research was supported by grants from the Department of Energy (DOE)’s Basic Energy Sciences program (DE-FG02-07ER15875), DOE’s Office of Biological and Environment Research (DE-FG02-07ER64500), and NSF (grant DBI-0649892 and grant CHE-0634788), NIH Director’s Pioneer Award and the Transformative R01 grant, the Bill & Melinda Gates Foundation, and Pfizer Global Medical.



Patents and patent applications held by Harvard University have been licensed to multiple microscope manufacturers.


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