An Exact, ClosedForm, Analytical Solution To The General Synthesis Problem
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.
 Publication:

New methods for optical, quasioptical, acoustic and electromagnetic synthesis
 Pub Date:
 February 1982
 DOI:
 10.1117/12.932357
 Bibcode:
 1982SPIE..294...90S
 Keywords:

 Integral Equations;
 Inverse Scattering;
 Numerical Integration;
 Remote Sensing;
 Run Time (Computers);
 Design Analysis;
 Nondestructive Tests;
 Radar Imagery;
 Seismology;
 Sonar;
 Synthesis;
 Physics (General)