Accession Number:

ADA090176

Title:

Some Optimal Control Problems for the Helmholtz Equation.

Descriptive Note:

Interim rept.,

Corporate Author:

DELAWARE UNIV NEWARK APPLIED MATHEMATICS INST

Personal Author(s):

• Angell,Thomas S.

Report Date:

1980-07-01

Pagination or Media Count:

17.0

Abstract:

Radiation and scattering problems are formulated as optimal control problems in which either a current or surface impedance is sought from a class of admissable functions which optimizes a functional of the scattered far field. In both cases the existence of an optimal solution is proven. In the linear radiation case constructive algorithms for finding the optimal solution are presented. Author

Descriptors:

• *ELECTROMAGNETIC SCATTERING
• *ELECTROMAGNETIC RADIATION
• *CONTROL THEORY
• *ACOUSTIC SCATTERING
• *ACOUSTIC EMISSIONS
• EIGENVECTORS
• EIGENVALUES
• FAR FIELD
• THREE DIMENSIONAL
• BOUNDARY VALUE PROBLEMS
• CONVERGENCE
• GREENS FUNCTIONS
• INTEGRAL EQUATIONS
• THEOREMS
• DIRICHLET INTEGRAL

Subject Categories:

• Theoretical Mathematics
• Acoustics
• Electricity and Magnetism

Distribution Statement:

APPROVED FOR PUBLIC RELEASE