DocumentCode :
1031565
Title :
Asymptotic series solution of the paraxial equation in layered media
Author :
Taylor, Leonard S.
Author_Institution :
Naval Surface Weapons Center, Silver Spring, MD USA and Univ. of Maryland, College Park, MD, USA
Volume :
33
Issue :
12
fYear :
1985
fDate :
12/1/1985 12:00:00 AM
Firstpage :
1407
Lastpage :
1410
Abstract :
The paraxial wave equation for the electromagnetic field in a medium with layered index of refraction variation is solved by successive integrations to obtain an asymptotic series in 
. This solution is valid for complex 
(lossy media). For a sinusoidal variation of index a compact form is obtained which always converges; consequently, using numerical methods and applying superposition, we may solve in arbitrary index variations with limited spatial spectral content. For other types of variation, e.g., Gaussian, the series is seen to converge only for values of the Fresnel parameter 1.
. This solution is valid for complex (lossy media). For a sinusoidal variation of index a compact form is obtained which always converges; consequently, using numerical methods and applying superposition, we may solve in arbitrary index variations with limited spatial spectral content. For other types of variation, e.g., Gaussian, the series is seen to converge only for values of the Fresnel parameter 1.Keywords :
Electromagnetic propagation in nonhomogeneous media; Numerical integration; Electromagnetic fields; Electromagnetic propagation; Electromagnetic refraction; Integral equations; Intersymbol interference; Moment methods; Nonhomogeneous media; Optical propagation; Partial differential equations; Permittivity;
fLanguage :
English
Journal_Title :
Antennas and Propagation, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-926X
Type :
jour
DOI :
10.1109/TAP.1985.1143529
Filename :
1143529
Link To Document :
