TIME HARMONIC ELECTROMAGNETIC-WAVES IN AN INHOMOGENEOUS-MEDIUM

被引：13

作者：

COLTON, D ^{[1
]}

KRESS, R ^{[1
]}

机构：

[1] UNIV GOTTINGEN,INST NUMER & ANGEW MATH,W-3400 GOTTINGEN,GERMANY

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1990年 / 116卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1017/S0308210500031516

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the scattering of time harmonic electromagnetic waves by an inhomogeneous medium of compact support, i.e. the permittivity epsilon = epsilon(x) and the conductivity sigma = sigma(x) are functions of x epsilon-R3. Existence, uniqueness and regularity results are established for the direct scattering problem. Then, based on existence and uniqueness results for the exterior and interior impedence boundary value problem, a method is presented for solving the inverse scattering problem.

引用

页码：279 / 293

页数：15

共 12 条

[1] FAR FIELD PATTERNS AND INVERSE SCATTERING PROBLEMS FOR IMPERFECTLY CONDUCTING OBSTACLES [J].

ANGELL, TS ;

COLTON, D ;

KRESS, R .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1989, 106 :553-569

[2] A NEW METHOD FOR SOLVING THE INVERSE SCATTERING PROBLEM FOR ACOUSTIC-WAVES IN AN INHOMOGENEOUS-MEDIUM [J].

COLTON, D ;

MONK, P .

INVERSE PROBLEMS, 1989, 5 (06) :1013-1026

[3] FAR FIELD PATTERNS AND THE INVERSE SCATTERING PROBLEM FOR ELECTROMAGNETIC-WAVES IN AN INHOMOGENEOUS-MEDIUM [J].

COLTON, D ;

PAIVARINTA, L .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1988, 103 :561-575

[4]

COLTON D, IN PRESS SIAM J MATH

[5]

Colton D., 1981, MATH METHODS APPLIED, V3, P475

[6]

Colton D., 1983, INTEGRAL EQUATION ME

[7]

HAHNER P, 1987, THESIS GOTTINGEN

[8] ON THE BOUNDARY OPERATOR IN ELECTROMAGNETIC SCATTERING [J].

KRESS, R .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1986, 103 :91-98

[9]

Leis R., 1986, INITIAL BOUNDARY VAL, DOI 10.1007/978-3-663-10649-4

[10]

Muller C., 1957, GRUNDPROBLEME MATH T

← 1 2 →