A new theory of complex rays
Yükleniyor...
Dosyalar
Tarih
2004-12
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Oxford Univ Press
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
A new approach to the theory of complex rays is presented. It is shown that the three-dimensional Minkowski space, the variant of the well known four-dimensional space-time Minkowski space of the special theory of relativity, is more appropriate for describing both real and complex rays than the usual Euclidean space. It turns out that in this space complex rays, as real ones, may have quite definite directions and magnitudes. This allows us to understand the geometrical meaning of the complex magnitudes such as complex distances and complex angles, intensively discussed over the last several decades. From this point of view a new interpretation of the Gaussian beams and reflection laws is presented.
Açıklama
Anahtar Kelimeler
Asymptotic solution, Complex rays, Eikonal equation, Minkowski space, Real rays, Asymptotic stability, Electromagnetic field theory, Light reflection, Light refraction, Numerical methods, Quantum theory, Relativity, Wavefronts, Optics
Kaynak
IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
69
Sayı
6
Künye
Hasanov, E. (2004). A new theory of complex rays. IMA Journal of Applied Mathematics (Institute of Mathematics and its Applications), 69(6), 521-537. doi:10.1093/imamat/69.6.521
