Physical optics inverse diffraction

Author

Lewis, Robert M.

Author_Institution

New York University, New York, NY, USA

Volume

17

Issue

3

fYear

1969

fDate

5/1/1969 12:00:00 AM

Firstpage

308

Lastpage

314

Abstract

A general method for solving the inverse diffraction problem is presented. It is based on an identity of Bojarski which states that $\\gamma (x)$ and $\\Gamma (p)$ are a Fourier transform pair. Here $\\gamma (x)$ is the characteristic function of the target ( $\\gamma =1$ inside the target, $\\gamma = 0$ outside), $p = (2\\omega /c)J,\\omega$ is the frequency, $J$ is a unit vector specifying the aspect, and $\\Gamma (P)$ can be obtained by measurement of the backscattered electromagnetic far field at frequency $\\omega = (c/2)|P|$ and aspect $J=|p|^{-1}p$ . If data is obtained in any subset $D$ of $p$ space, the method yields partial or complete information about the target geometry. It is used to rederive earlier results very simply and to obtain a significant new solution, in which the target geometry is completely determined using frequencies only in a practical frequency band and aspects in a narrow cone.

Keywords

Electromagnetic diffraction; Optics; Electromagnetic fields; Electromagnetic measurements; Electromagnetic scattering; Extraterrestrial measurements; Fourier transforms; Frequency measurement; Integral equations; Optical diffraction; Optical scattering; Physical optics;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.1969.1139417

Filename

1139417