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# Accession Number:

## ADA090177

# Title:

## Scattering Control by Impedance Loading.

# Descriptive Note:

## Interim rept.,

# Corporate Author:

## DELAWARE UNIV NEWARK APPLIED MATHEMATICS INST

# Report Date:

## 1980-01-01

# Pagination or Media Count:

##
6.0

# Abstract:

## The time harmonic electromagnetic scattering problem with impedance boundary conditions on a cylinder of smooth but otherwise arbitrary cross section is reduced to a pair of boundary integral equations. These integral equations are shown to have a unique square integrable solution for bounded impedances, for all real values of wave number with no exceptional values corresponding to interior resonances. This result is then employed to prove that there exists an impedance function which optimizes the amount of power scattered in an angular sector of the far field. The power in the angular sector is considered as the cost functional over a control set of admissable impedances consisting of a closed bounded convex set in the space dual to the space of functions integrable over the boundary. Methods for the numerical approximation of the optimal impedance are discussed. Author

# Distribution Statement:

## APPROVED FOR PUBLIC RELEASE

#