Differential interference microscopy (DIC) is a method to obtain the refractive index distribution of a sample as contrast. It is suitable for biological cells, however, DIC can only obtain 2D images from thin samples. Therefore, we introduce a new imaging method, volumetric differential contrast (VDC) imaging using optical coherence tomography (OCT). This method enables getting 3D differential contrast of thick samples. VDC was designed based on the disperse scatterer model (DSM), a new theoretical model of OCT, and obtains differential contrast by complex numerical processing of OCT signal. DSM represents the sample as a spatially distributed refractive index with dispersed random scatterers, and OCT signal was formulated from this model. VDC uses two complex OCT signals, s1 and s2 at two laterally slightly distant positions, and the final image is defined as Im[s1 s2. This signal forms a spatially differential image of the product of the refractive index distribution and the scatterer density. According to the formulation, the size of the differentiation kernel, corresponding to the shear amount of DIC, is proportional to the defocus of the probe beam and the separation between s1 and s2. This method was validated by an in vitro spheroid sample and an in vivo zebrafish sample, measured by spectral domain OCT with a center wavelength of 830 nm. VDC images were obtained from refocused and defocused signals.
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