Investigation of the Propagation of Signals in One-Dimensional Electrodynamics for Interpretating Electromagnetic Sounding Data. Consideration of the Analytic Properties of Permittivity

被引:4
作者
Rudenchik, E. A. [1 ]
Volkomirskaya, L. B.
Reznikov, A. E.
机构
[1] Russian Acad Sci, Pushkov Inst Terr Magnetism Ionosphere & Radio Wa, Troitsk 142190, Moscow oblast, Russia
关键词
D O I
10.3103/S1541308X08010081
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Approaches to solution of the inverse problem of electromagnetic sounding of subsurface layers of the Earth (determination of their permittivity) were considered with allowance for the time boundedness of a signal, presence of signal edges, and validity of the causality principle. Such consideration makes it possible to use the Laplace transform of a signal observed to develop effective methods for solving inverse problems. Peculiarities of solving the direct problem for different permittivity models were analyzed. An attempt of interpreting the effect of an increase in the characteristic frequency of a signal upon its propagation in the surface layers of the Earth was made.
引用
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页码:52 / 69
页数:18
相关论文
共 6 条
[1]  
Courant R., 1962, Methods of mathematical physics, VII
[2]  
Diver F.W.J., 1974, ASYMPTOTICS SPECIAL, DOI 10.1201/9781439864548
[3]  
Finkelshtein M. J., 1986, APPL RADIOLOCATION S
[4]  
Landau LD., 1984, Electrodynamics of Continuous Media
[5]  
ROMANOV AN, 2002, DIELECTRIC RADIOEMIS
[6]  
Sveshnikov A. G., 1999, THEORY FUNCTIONS COM