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