8 March 2016 Theory of Fourier phase within the framework of Fourier-domain optical coherence tomography
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Abstract
Fourier phase in Fourier-domain optical coherence tomography (FD-OCT) has been shown to estimate the sub- resolution change in the optical depth location of a strong interface in refractive index profile of a sample using spectral-domain phase microscopy (SDPM), a derivative of FD-OCT. From first principles we show that in general Fourier phase not only estimates this sub-resolution change but also the mean spatial frequency of the coherence-gated refractive index, and both SDPM and depth-resolved spatial-domain low-coherence quantitative phase microscopy (dr-SLQPM) are special cases of this general theory. We also show that for spectral source with infinite bandwidth Fourier phase is zero. We provide analytical expressions and numerical simulations to support our results.
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Shikhar Uttam, Yang Liu, "Theory of Fourier phase within the framework of Fourier-domain optical coherence tomography", Proc. SPIE 9697, Optical Coherence Tomography and Coherence Domain Optical Methods in Biomedicine XX, 96972S (8 March 2016); doi: 10.1117/12.2214821; https://doi.org/10.1117/12.2214821
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