Description of the 2D Gaussian beam diffraction in a free space in frame of eikonal-based complex geometric optics

被引：14

作者：

Kravtsov, YA ^{[1
]}

Berczynski, PB

机构：

[1] Polish Acad Sci, Space Res Ctr, PL-00716 Warsaw, Poland

[2] Maritime Univ Szczecin, Inst Phys, PL-70500 Szczecin, Poland

[3] Tech Univ Szczecin, Inst Phys, PL-70310 Szczecin, Poland

来源：

WAVE MOTION | 2004年 / 40卷 / 01期

关键词：

D O I：

10.1016/j.wavemoti.2003.12.012

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Analytical expression for the 2D Gaussian beam diffraction in a free space is derived from the eikonal-based form of complex geometrical optics (CGO). This expression has been proved in this paper to be identical both to the exact solution of parabolic equation of diffraction theory and to the solution obtained earlier in frame of the ray-based CGO. The suggested derivation demonstrates once again diffractive nature of wave phenomena, described by CGO and explains why Mazzucato's (1989) numerical results, obtained in frame of eikonal-based CGO, happened to be in a good agreement with diffraction theory. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：23 / 27

页数：5

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