A numerical analysis of the Born approximation for image formation modeling of differential interference contrast microscopy for human embryos

Sigal Trattner; Micha Feigin; Hayit Greenspan; Nir Sochen

doi:10.1117/12.769773

18 March 2008 A numerical analysis of the Born approximation for image formation modeling of differential interference contrast microscopy for human embryos

Sigal Trattner, Micha Feigin, Hayit Greenspan, Nir Sochen

Author Affiliations +

Proceedings Volume 6913, Medical Imaging 2008: Physics of Medical Imaging; 691349 (2008) https://doi.org/10.1117/12.769773
Event: Medical Imaging, 2008, San Diego, California, United States

Abstract

The differential interference contrast (DIC) microscope is commonly used for the visualization of live biological specimens. It enables the view of the transparent specimens while preserving their viability, being a non-invasive modality. Fertility clinics often use the DIC microscope for evaluation of human embryos quality. Towards quantification and reconstruction of the visualized specimens, an image formation model for DIC imaging is sought and the interaction of light waves with biological matter is examined. In many image formation models the light-matter interaction is expressed via the first Born approximation. The validity region of this approximation is defined in a theoretical bound which limits its use to very small specimens with low dielectric contrast. In this work the Born approximation is investigated via the Helmholtz equation, which describes the interaction between the specimen and light. A solution on the lens field is derived using the Gaussian Legendre quadrature formulation. This numerical scheme is considered both accurate and efficient and has shortened significantly the computation time as compared to integration methods that required a great amount of sampling for satisfying the Whittaker - Shannon sampling theorem. By comparing the numerical results with the theoretical values it is shown that the theoretical bound is not directly relevant to microscopic imaging and is far too limiting. The numerical exhaustive experiments show that the Born approximation is inappropriate for modeling the visualization of thick human embryos.

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Sigal Trattner, Micha Feigin, Hayit Greenspan, and Nir Sochen "A numerical analysis of the Born approximation for image formation modeling of differential interference contrast microscopy for human embryos", Proc. SPIE 6913, Medical Imaging 2008: Physics of Medical Imaging, 691349 (18 March 2008); https://doi.org/10.1117/12.769773

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KEYWORDS

Optical spheres

Image acquisition

Microscopy

Numerical analysis

Digital image correlation

Visualization

Medical imaging

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