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High‐order window functions and fast algorithms for calculating dyadic electromagnetic Green's functions in multilayered media
Author(s) -
Yu Tiejun,
Cai Wei
Publication year - 2001
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2000rs002553
Subject(s) - window (computing) , electromagnetics , window function , computational electromagnetics , function (biology) , scattering , mathematics , order (exchange) , algorithm , electromagnetic radiation , mathematical analysis , computer science , optics , electromagnetic field , physics , quantum mechanics , statistics , spectral density , engineering physics , finance , evolutionary biology , economics , biology , operating system
A type of bell‐shaped compact high‐order window function ψ ( x , y ) is studied, and closed‐form and approximation formulas are derived for its Hankel transforms. Applications of these results are presented as fast algorithms for calculating dyadic Green's functions for electromagnetic scattering in multilayered media. Numerical results in electromagnetics are provided to demonstrate the accuracy and efficiency of the algorithms.