Accuracy of the Born approximation in calculating the scattering coefficient of biological continuous random media

Ilker R. Çapoǧlu; Jeremy D. Rogers; Allen Taflove; Vadim Backman

doi:10.1364/OL.34.002679

Accuracy of the Born approximation in calculating the scattering coefficient of biological continuous random media

Ilker R. Çapoǧlu, Jeremy D. Rogers, Allen Taflove, Vadim Backman

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

A rigorous error analysis is presented for the scattering coefficient of biological random continuous media in the Born (or single-scattering) approximation. The analysis is done in two dimensions (2-D) for simplicity of numerical computation. Scattering coefficients of various tissue-like random media are numerically calculated via statistical finite-difference-time-domain analysis. The results are then checked against analytical formulas for the scattering coefficient in the Born approximation. The validity ranges for the correlation length and the refractive index fluctuation strength of the medium are clearly identified. These 2-D results show promise for future 3-D investigations.

Original language	English (US)
Pages (from-to)	2679-2681
Number of pages	3
Journal	Optics Letters
Volume	34
Issue number	17
DOIs	https://doi.org/10.1364/OL.34.002679
State	Published - Sep 1 2009

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1364/OL.34.002679

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abstract = "A rigorous error analysis is presented for the scattering coefficient of biological random continuous media in the Born (or single-scattering) approximation. The analysis is done in two dimensions (2-D) for simplicity of numerical computation. Scattering coefficients of various tissue-like random media are numerically calculated via statistical finite-difference-time-domain analysis. The results are then checked against analytical formulas for the scattering coefficient in the Born approximation. The validity ranges for the correlation length and the refractive index fluctuation strength of the medium are clearly identified. These 2-D results show promise for future 3-D investigations.",

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AU - Backman, Vadim

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N2 - A rigorous error analysis is presented for the scattering coefficient of biological random continuous media in the Born (or single-scattering) approximation. The analysis is done in two dimensions (2-D) for simplicity of numerical computation. Scattering coefficients of various tissue-like random media are numerically calculated via statistical finite-difference-time-domain analysis. The results are then checked against analytical formulas for the scattering coefficient in the Born approximation. The validity ranges for the correlation length and the refractive index fluctuation strength of the medium are clearly identified. These 2-D results show promise for future 3-D investigations.

AB - A rigorous error analysis is presented for the scattering coefficient of biological random continuous media in the Born (or single-scattering) approximation. The analysis is done in two dimensions (2-D) for simplicity of numerical computation. Scattering coefficients of various tissue-like random media are numerically calculated via statistical finite-difference-time-domain analysis. The results are then checked against analytical formulas for the scattering coefficient in the Born approximation. The validity ranges for the correlation length and the refractive index fluctuation strength of the medium are clearly identified. These 2-D results show promise for future 3-D investigations.

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Accuracy of the Born approximation in calculating the scattering coefficient of biological continuous random media

Abstract

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