Fresnel coefficients for weak reflection, and the scattering potential for three-dimensional imaging

Sheppard, Colin J. R.; Aguilar, Felix

doi:10.1016/s0030-4018(99)00084-x

Cited by 11 publications

(1 citation statement)

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“…Here, r and z denote the lateral and axial spatial coordinates, respectively; ν i and η(ν i ) = λ −2 − |ν i | 2 are the illumination's lateral and axial spatial frequencies, respectively; the amplitude A = S(ν i )P (−ν i ); S is the incoherent primary source function; and P is the pupil function. To calculate the reflected field, we use the average TE and TM wave Fresnel coefficients R(ν i ) = 1 2 [|R TE (ν i )| + |R TM (ν i )|] to model the reflection amplitude of the unpolarized illumination from the boundary [65].…”

Section: Theorymentioning

confidence: 99%

Inverse scattering for reflection intensity phase microscopy

Matlock¹,

Sentenac²,

Chaumet³

et al. 2020

Biomed. Opt. Express

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Reflection phase imaging provides label-free, high-resolution characterization of biological samples, typically using interferometric-based techniques. Here, we investigate reflection phase microscopy from intensity-only measurements under diverse illumination. We evaluate the forward and inverse scattering model based on the first Born approximation for imaging scattering objects above a glass slide. Under this design, the measured field combines linear forwardscattering and height-dependent nonlinear back-scattering from the object that complicates object phase recovery. Using only the forward-scattering, we derive a linear inverse scattering model and evaluate this model's validity range in simulation and experiment using a standard reflection microscope modified with a programmable light source. Our method provides enhanced contrast of thin, weakly scattering samples that complement transmission techniques. This model provides a promising development for creating simplified intensity-based reflection quantitative phase imaging systems easily adoptable for biological research.

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Section: Theorymentioning

confidence: 99%