## Direct reconstruction of complex refractive index distribution from boundary measurement of intensity and normal derivative of intensity

JOSA A, Vol. 24, Issue 10, pp. 3089-3099 (2007)

http://dx.doi.org/10.1364/JOSAA.24.003089

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### Abstract

We present an optical tomographic reconstruction method to recover the complex refractive index distribution from boundary measurements based on intensity, which are the logarithm of intensity and normal derivative of intensity. The method, which is iterative, repeatedly implements the forward propagation equation for light amplitude, the Helmholtz equation, and computes appropriate sensitivity matrices for these measurements. The sensitivity matrices are computed by solving the forward propagation equation for light and its adjoint. The results of numerical experiments show that the data types *k*, used in our simulations was 50, and this value resulted in smoothing of the reconstructed inhomogeneities. Thus we have shown that it is possible to reconstruct the complex refractive index distribution directly from the measured intensity without having to first find the light amplitude, as is done in most of the currently available reconstruction algorithms of diffraction tomography.

© 2007 Optical Society of America

**OCIS Codes**

(050.1940) Diffraction and gratings : Diffraction

(110.6960) Imaging systems : Tomography

(290.3200) Scattering : Inverse scattering

**ToC Category:**

Diffraction and Gratings

**History**

Original Manuscript: February 16, 2007

Manuscript Accepted: June 5, 2007

Published: September 7, 2007

**Citation**

Hari M. Varma, R. Mohan Vasu, and A. K. Nandakumaran, "Direct reconstruction of complex refractive index distribution from boundary measurement of intensity and normal derivative of intensity," J. Opt. Soc. Am. A **24**, 3089-3099 (2007)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-10-3089

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