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 50 条

[1] ELECTROMAGNETIC-WAVES IN AN INHOMOGENEOUS-MEDIUM
ABBOUD, T
NEDELEC, JC
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 164 (01) : 40 - 58
[2] DIFFRACTION OF ELECTROMAGNETIC-WAVES ON A SPHERE IN THE LAYERED INHOMOGENEOUS-MEDIUM
ZHEVELEV, VV
MAKAROV, GI
[J]. VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA FIZIKA KHIMIYA, 1984, (02): : 17 - 24
[3] TM NONLINEAR ELECTROMAGNETIC-WAVES GUIDED BY AN INHOMOGENEOUS-MEDIUM
SHABAT, MM
[J]. INTERNATIONAL JOURNAL OF INFRARED AND MILLIMETER WAVES, 1993, 14 (05): : 1107 - 1115
[4] FAR-FIELD PATTERNS FOR ELECTROMAGNETIC-WAVES IN AN INHOMOGENEOUS-MEDIUM
COLTON, D
PAIVARINTA, L
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1990, 21 (06) : 1537 - 1549
[5] ELECTROMAGNETIC-WAVES SCATTERING BY BODY OF FINITE CONDUCTIVITY PLACED IN AN INHOMOGENEOUS-MEDIUM
MAKSIMOV, YN
[J]. RADIOTEKHNIKA I ELEKTRONIKA, 1976, 21 (08): : 1616 - 1623
[6] RESONANCE-ABSORPTION OF ELECTROMAGNETIC-WAVES IN AN INHOMOGENEOUS-MEDIUM WITHOUT A RESONATOR
KHAPALYUK, AP
[J]. OPTIKA I SPEKTROSKOPIYA, 1982, 52 (02): : 323 - 326
[7] FAR FIELD PATTERNS AND THE INVERSE SCATTERING PROBLEM FOR ELECTROMAGNETIC-WAVES IN AN INHOMOGENEOUS-MEDIUM
COLTON, D
PAIVARINTA, L
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1988, 103 : 561 - 575
[8] PROPAGATION OF ELECTROMAGNETIC-WAVES IN AN INHOMOGENEOUS NONLINEAR MEDIUM
ELEONSKI.VM
SILIN, VP
[J]. ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI, 1974, 66 (01): : 146 - 153
[9] THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC-WAVES IN AN INHOMOGENEOUS-MEDIUM
COLTON, D
MONK, P
[J]. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1988, 41 : 97 - 125
[10] ELECTROMAGNETIC-WAVES IN AN INHOMOGENEOUS ANISOTROPIC MEDIUM OF MODEL IONOSPHERE
MAMBO, M
NAGANO, I
[J]. JOURNAL OF GEOMAGNETISM AND GEOELECTRICITY, 1973, 25 (03): : 313 - 323

← 1 2 3 4 5 →