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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 10 — Oct. 1, 2007
  • pp: 3089–3099

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

Hari M. Varma, R. Mohan Vasu, and A. K. Nandakumaran  »View Author Affiliations

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

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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 ln ( I ) and I n reconstructed, respectively, the imaginary and the real part of the object refractive index distribution. Moreover, the imaginary part of the refractive index reconstructed from I n and the real part from ln ( I ) failed to show the object’s inhomogeneity. The value of the propagation constant, 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

Original Manuscript: February 16, 2007
Manuscript Accepted: June 5, 2007
Published: September 7, 2007

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)

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