An Exact, Closed-Form, Analytical Solution To The General Synthesis Problem

W. Ross Stone

doi:10.1117/12.932357

26 February 1982 An Exact, Closed-Form, Analytical Solution To The General Synthesis Problem

W. Ross Stone

Proceedings Volume 0294, New Methods for Optical, Quasi-Optical, Acoustic, and Electromagnetic Synthesis; (1982) https://doi.org/10.1117/12.932357
Event: 25th Annual Technical Symposium, 1981, San Diego, United States

Abstract

In the synthesis problem a designer specifies the field that is to be incident on a system, and the field that it is desired that the system produce from this incident field by refraction, reflection, diffraction, scatterng, and/or reradiation. Mathematically and physically, this is an inverse scattering problem. In an inverse scattering problem, the fields in the inhomogeneous wave equation are known, and it is desired to solve for the source term. N. N. Bojarski has derived an Exact Inverse Scattering Theory for such "inverse source" problems. The problem of determining the generalized refractive index (i.e., the complex permeability and dielectric constant for an electromagnetic problem, or the velocity and absorption for an acoustic problem) distribution of an inhomogeneous medium from measurements of the fields scattered by the medium can also be treated using this theory. This solution is applicable to all remote probing problems, including radar, sonar, "profiling" of inhomogeneous propagation media, nondestructive evaluation, and seismic exploration.

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W. Ross Stone "An Exact, Closed-Form, Analytical Solution To The General Synthesis Problem", Proc. SPIE 0294, New Methods for Optical, Quasi-Optical, Acoustic, and Electromagnetic Synthesis, (26 February 1982); https://doi.org/10.1117/12.932357

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KEYWORDS

Inverse scattering

Acoustics

Inverse scattering problem

Scattering

Electromagnetism

Refractive index

Ray tracing

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