On complex solutions of the eikonal equation
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Dosyalar
Tarih
2007
Yazarlar
Dergi Başlığı
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Yayıncı
IEEE
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper a new approach of complex rays in an inhomogeneous medium is presented. Complex rays are complex solutions of the eikonal equation, the main equation of the geometical optics. It is shown that solving the eikonal equation by using the characteristic method naturally leads to the pseudoriemann and Minkowski geometries. In framework of these geometries complex rays , like the real ones, can be drawn in real space and they may have caustics, and caustics also can be drawn in real space.
Açıklama
Anahtar Kelimeler
Gaussian beams, Rays, Wave propagation, Differential equations, Electromagnetism, Geometrical optics, Ketones, Magnetism, Advanced applications, Characteristic methods, Complex Rays, Complex solutions, Eikonal equations, Electro magnetics, Inhomogeneous medium, International conferences, New approaches, Real-space, Transient analysis, Equations, Optical sensors, Optical refraction, Optical variables control, Extraterrestrial measurements, Refractive index, Mathematics, Geometry, Inhomogeneous media, Complex solutions, Eikonal equation, Geometical optics, Minkowski geometries
Kaynak
2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
Sayı
Künye
Hasanoğlu, E. (2007). On complex solutions of the eikonal equation. Paper presented at the 2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07, 641-644. doi:10.1109/ICEAA.2007.4387383
