On the application of the analytical continuation from real to complex spaces to some EM field solutions

Author

Morales, M. J González ; Gago-Ribas, E.

Author_Institution

Dept. Teoria de la Senal y Commun., Valladolid Univ., Spain

fYear

2000

fDate

15-18 Aug. 2000

Firstpage

61

Lastpage

64

Abstract

The analytical continuation from the real to the complex space is a mathematical tool which appears to be very interesting applied to EM problems. We look at the main restrictions associated to some common solutions and analyze certain rules which should be taken into account in order to apply these methods. Through some examples, we illustrate how new field solutions or alternative formulations may be obtained.

Keywords

Green´s function methods; electromagnetic fields; electromagnetic wave absorption; electromagnetic wave propagation; partial differential equations; 2D wave equation; EM field solutions; EM wave attenuation; EM wave propagation; Gaussian beams; Green´s functions; analytical continuation; boundary value problems; complex beams; complex spaces; evanescent plane waves; initial value problems; mathematical representations; partial differential equations; real spaces; surface waves; Electromagnetic analysis; Electromagnetic fields; Green´s function methods; H infinity control; Partial differential equations; Performance analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas, Propagation and EM Theory, 2000. Proceedings. ISAPE 2000. 5th International Symposium on

Conference_Location

Beijing, China

Print_ISBN

0-7803-6377-9

Type

conf

DOI

10.1109/ISAPE.2000.894724

Filename

894724