## Numerical reconstruction for dispersionless refractive profiles

JOSA A, Vol. 2, Issue 11, pp. 1931-1936 (1985)

http://dx.doi.org/10.1364/JOSAA.2.001931

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### Abstract

An efficient method is presented here for reconstructing dispersionless refractive profiles from scattering data. This procedure makes use of known reflection data to determine the refractive index of a semi-infinite slab. The numerical method presented here avoids matrix inversion, successive differentiation, and the solution of auxiliary algebraic or differential equations. Instead, the method relies on leapfrogging through space and time to solve a recently developed integral equation. Results for several new profiles are displayed, and evidence of the robustness of the technique with respect to noise is exhibited.

© 1985 Optical Society of America

**History**

Original Manuscript: February 6, 1984

Manuscript Accepted: May 7, 1985

Published: November 1, 1985

**Citation**

D. L. Jaggard and K. E. Olson, "Numerical reconstruction for dispersionless refractive profiles," J. Opt. Soc. Am. A **2**, 1931-1936 (1985)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-2-11-1931

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### References

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- This is obtained from Eq. (2.8) of Ref. 8 with a change of variables and subsequent reordering.
- This is found by combining Eqs. (3.5) and (3.8) of Ref. 8.
- Here ΔK indicates the difference between the kernel function at any point and its value at an adjacent lattice point.
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- D. L. Jaggard, P. Frangos, “The inverse scattering problem for layered dispersionless media with incomplete and imprecise data,” submitted to IEEE Trans. Antennas Propag.

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