Optimization approaches to frequency-domain inverse problems for Kerr-like and non-Kerr-like nonlinear media

被引:1
作者
Norgren, M [1 ]
机构
[1] Royal Inst Technol, Dept Electromagnet Theory, S-10044 Stockholm, Sweden
关键词
nonlinear media; inverse problem; Kerr media; optimization; gradient; dual fields;
D O I
10.1016/S0378-4754(99)00104-4
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Two different kinds of frequency-domain inverse problems for nonlinear media are considered. In the first problem, the linear permittivity and the nonlinear parameter for a stratified slab of a Kerr-like medium are reconstructed as functions of the position from reflection and transmission data by using a conjugate gradient method. In the second problem, the nonlinear permittivity of a medium with arbitrary nonlinear behavior is reconstructed as a function of the electric field. The nonlinearity is approximated as a rational expression in the electric field and a Levenberg-Marquardt method is applied to reconstruct the coefficients in the approximant from reflection and transmission data. The reconstruction algorithms are tested with both clean and noisy data. A formalism based on dual fields is utilized for a fast and explicit calculation of gradients and Jacobian matrices. (C) 1999 IMACS/Elsevier Science B.V. All rights reserved.
引用
收藏
页码:553 / 575
页数:23
相关论文
共 32 条
[1]   MICROWAVE DEVICE MODELING USING EFFICIENT LI OPTIMIZATION - A NOVEL-APPROACH [J].
BANDLER, JW ;
CHEN, SH ;
DAIJAVAD, S .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1986, 34 (12) :1282-1293
[2]  
BENDER CM, 1984, ADV MATH METHODS SCI
[3]   OPTICALLY NONLINEAR-WAVES IN THIN-FILMS [J].
BOARDMAN, AD ;
EGAN, P .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1986, 22 (02) :319-324
[4]   Optimization procedure based on a statistical cooling method applied to scattering by bounded nonlinear objects [J].
Caorsi, S ;
Massa, A ;
Pastorino, M .
RADIO SCIENCE, 1996, 31 (02) :437-450
[5]   ELECTROMAGNETIC SCATTERING BY NONLINEAR DIELECTRIC CYLINDERS WITH NON-KERR-LIKE NONLINEARITIES [J].
CAORSI, S ;
MASSA, A ;
PASTERINO, M .
MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 1995, 10 (06) :347-350
[6]  
CHENG D, 1997, MICROW OPT TECHN LET, V14, P351
[7]   THE INVERSE PROBLEM FOR BIAXIAL MATERIALS [J].
DAMASKOS, NJ ;
MACK, RB ;
MAFFETT, AL ;
PARMON, W ;
USLENGHI, PLE .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1984, 32 (04) :400-405
[8]  
Dennis, 1996, NUMERICAL METHODS UN
[9]   Microwave imaging - Complex permittivity reconstruction with a Levenberg-Marquardt method [J].
Franchois, A ;
Pichot, C .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1997, 45 (02) :203-215
[10]   GENERALIZED CROSS-VALIDATION AS A METHOD FOR CHOOSING A GOOD RIDGE PARAMETER [J].
GOLUB, GH ;
HEATH, M ;
WAHBA, G .
TECHNOMETRICS, 1979, 21 (02) :215-223