On the Sommerfeld half-space problem: appraisal of approximate solutions with extensions to plasmonics

被引:10
|
作者
Michalski, Krzysztof A. [1 ]
Lin, Hung-I [1 ]
机构
[1] Texas A&M Univ, Dept Elect & Comp Engn, College Stn, TX 77843 USA
关键词
Hertzian dipole; far-zone radiation fields; surface plasmon polariton; modified saddle-point integration; VERTICAL HERTZIAN DIPOLE; COMPLEX ERROR FUNCTION; ASYMPTOTIC EXPANSIONS; ELECTROMAGNETIC-FIELD; EFFICIENT COMPUTATION; OPTICAL WAVELENGTHS; INTEGRAL TAILS; SADDLE-POINT; SURFACE; WAVES;
D O I
10.1080/09205071.2017.1395368
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The classical Sommerfeld problem of a vertical electric dipole radiating over an imperfectly conducting half-space is revisited. Two variants of the modified saddle-point integration method are employed to derive new, closed-form, second-order approximations of the far-zone electromagnetic fields. The new formulas are applied to compute radiation patterns and surface fields for sample problems including both ordinary and plasmonic media, and their accuracy is assessed by comparison with the results of rigorous numerical evaluation of the Sommerfeld integrals.
引用
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页码:483 / 503
页数:21
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