Series Expansions Immune to Round-Off Errors for the Transition Function Used in High Frequency Electromagnetic Methods

Küçük Resim Yok

Tarih

2021

Yazarlar

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

IEEE-Inst Electrical Electronics Engineers Inc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

A series expansion is given for efficient computation of an integral that is called transition function F(x) in the high frequency electromagnetics literature or Fresnel integrals in the optics literature. It is obtained as a limiting case of some series expansions that appear in a solution of an electromagnetic problem in a recent letter. As an interesting property, it involves an arbitrary parameter r that may be used for specifying an interval in which the series becomes somewhat immune to the round-off errors and so the function F(x) can be calculated with any accuracy in that interval. We also give a computational scheme whose speed and accuracy performances fulfill the needs of high frequency electromagnetic methods.

Açıklama

Anahtar Kelimeler

Taylor series, Electromagnetics, Image color analysis, Physical theory of diffraction, Optical diffraction, High frequency, Fresnel reflection, Geometrical theory of diffraction (GTD), optical diffraction, physical theory of diffraction (PTD), series (mathematics)

Kaynak

Ieee Antennas And Wireless Propagation Letters

WoS Q Değeri

Q2

Scopus Q Değeri

Q1

Cilt

20

Sayı

7

Künye