Animal tissues exhibit a broad range of stiffnesses, from <1 kPa in brain to ~10 GPa in bone. When grown on a substrate, animal cells sense its rigidity, especially in a range corresponding to soft tissues, with elastic moduli,
E, of 0.1–100 kPa
[1],
[2],
[3]. Recent studies have emphasized the importance of variations of the rigidity in development
[4],
[5],
[6],
[7], tumorigenesis
[3],
[8],
[9], and cell migration
[10],
[11]. Substrate rigidity sensing is mediated by cellular adhesion structures that exert traction forces on the substrate, and selective visualization of these adhesion structures is key to understanding rigidity sensing. If the elastic modulus of the substrate is sufficiently low, substrate deformations caused by the traction forces can be measured under a microscope and the cell traction forces can be reconstructed. The spatial patterns and dynamics of the traction forces provide important information on cytoskeletal tensions and the mechanisms of cell spreading, migration, and polarization
[1],
[12]. Because substrate deformation in a given area often results from traction forces applied at multiple adhesion points, the conversion of a map of substrate deformation into a cell traction force map is complicated, especially when the locations of the adhesion points are not known
[13]. Adhesion points can be detected by employing molecular markers that are known to be recruited to cellular adhesion structures using wide-field or confocal fluorescence microscopy, but identification of adhesion points exerting traction forces can be challenging. In addition, the accurate assessment of the adhesion area, especially the detection of small adhesion points, can be difficult with these two types of microscopy because of their relatively high background level.
The level of fluorescence background is substantially lower in total internal reflection fluorescence (TIRF) microscopy
[14], which selectively visualizes fluorescent molecules in a 100–200 nm thick layer above the substrate and is the method of choice to image the cell-to-substrate adhesion structures
[15] and to study molecular trafficking events at the plasma membrane
[16]. In TIRF microscopy with a popular through-the-lens illumination technique
[14], the fluorescence excitation beam is directed through a marginal area of a high numerical aperture (high-NA) oil immersion objective lens. As a result, the excitation beam enters the boundary between the microscope cover glass and the medium behind it at a large angle of incidence,

(as measured from the optical axis; ). If the refractive index of the medium,

, is lower than that of the cover glass,

, and

is greater than a critical angle,

, total internal reflection occurs at the boundary between the glass and the medium (). The incident excitation beam is completely reflected off the boundary and only penetrates behind it as an evanescent wave that decays with the distance from the boundary,
z, as

, where the characteristic depth,
d, is given by

, with
λ being the wavelength of the illumination beam in vacuum
[14]. (We note that

corresponds to

and

.)
For a given microscope objective, there is a one-to-one correspondence between the distance of a ray from the optical axis in the plane of the objective back aperture and the resulting angle of incidence,

(). The maximal

available with an objective lens is defined by the NA of the lens,

. Live cells have refractive indices of up to
[14],
[17], and for total internal reflection at the boundary between the cover glass and a cell plated on it, as required for TIRF microscopy of the cell, the condition

must be met (). Regular oil-immersion objectives have NA up to 1.40, making them not well suited for cell TIRF microscopy, because the requirements

and

limit the range of

to <2° and to satisfy these requirements for all its rays, the excitation beam needs to be very narrow and collimated. In addition,

barely above

results in extended depth of the evanescent wave,
d, (>170 nm for NA

=

1.40 and
λ
=

500 nm) and the interaction of the evanescent wave with dense cellular organelles may lead to its conversion into scattered propagating light
[14]. Therefore, all major manufacturers of biological microscopes introduced specialized objectives for TIRF with NA ranging from 1.45 to 1.49, greatly expanding the available range of

(to 7–13°), facilitating the introduction of the excitation beam, and generally improving the intensity and uniformity of illumination. Moreover, the capacities to vary

and make it substantially greater than

provided by specialized TIRF objectives enable adjusting
d and making it particularly small (down to ~70 nm with NA

=

1.49,

, and
λ
=

500 nm)
[18].
For TIRF microscopy of cells plated on a soft substrate (), the refractive index of the substrate must be greater than

. The most commonly used cell substrates that have the rigidity of soft tissue and enable traction force measurements, polyacrylamide gels
[19], have a refractive index close to that of water (

), making them unsuitable for TIRF microscopy. Silicone gels made of polydimethylsyloxane (PDMS), which have a long history of use in traction force microscopy
[20],
[21],
[22],
[23], have a refractive index of

. Recently, TIRF microscopy of social amoebas (
D. discoideum) on thin layers of silicone gels with a refractive index

has been reported
[24],
[25]. In this configuration (cells on top of a gel on top of a cover glass; ), to reach the interface between the gel and a cell, the fluorescence excitation beam first needs to cross the interface between the cover glass and the gel, imposing a condition

[while the condition

remains unchanged for TIRF at the gel-cell interface]. Rays with

greater than the critical angle

for the glass-PDMS interface will suffer a total internal reflection at this interface and not enter the gel, thus contributing to the reflection background rather than TIRF signal. Therefore, whereas the nominal NA of the objective used in the TIRF setup may be high (e.g., 1.45 as in
[24],
[25]), its effective NA is limited to the refractive index of the gel,

[when

is more restrictive than

], leading to problems and limitations in the TIRF microscopy of cells similar to those before the introduction of specialized high-NA TIRF objectives.
Here we used cover glasses coated with thin layers of silicone gels with a refractive index

() to perform TIRF microscopy of cells on soft substrates with a specialized TIRF objective (Nikon 60x/1.49), taking full advantage of its high NA of 1.49. We formulated these high refractive index (HRI) gels with elastic moduli,
E, of 0.4–130 kPa, covering nearly the entire physiological range, and tested their mechanical properties with a custom-built microfluidic device
[26]. We plated human umbilical venous endothelial cells (HUVECs; by Lonza, Basel, Switzerland) on the gels, performed TIRF microscopy on them, and combined it with traction force microscopy by tracking fluorescent beads on surfaces of the gels.