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