Nonparaxial wave beams and packets with general astigmatism

被引：24

作者：

Kiselev, A. P. ^{[1
,4
]}

Plachenov, A. B. ^{[2
]}

Chamorro-Posada, P. ^{[3
]}

机构：

[1] RAS, VA Steklov Math Inst, St Petersburg Dept, St Petersburg 191027, Russia

[2] Moscow State Tech Univ Radio Engn Elect & Automat, Dept Math, Moscow 119454, Russia

[3] Univ Valladolid, ETSI Telecomunicac, Dept Teoria Senal & Comunicac & Ingn Telemat, E-47011 Valladolid, Spain

[4] St Petersburg State Univ, Fac Phys, St Petersburg 198504, Russia

来源：

PHYSICAL REVIEW A | 2012年 / 85卷 / 04期

关键词：

LASER-BEAMS; COMPLEX-SOURCE; GAUSSIAN-BEAM; EQUATION; RESONATORS; PULSES;

D O I：

10.1103/PhysRevA.85.043835

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We present exact solutions of the wave equation involving an arbitrary wave form with a phase closely similar to the general astigmatic phase of paraxial wave optics. Special choices of the wave form allow general astigmatic beamlike and pulselike waves with a Gaussian-type unrestricted localization in space and time. These solutions are generalizations of the known Bateman-type waves obtained from the connection existing between beamlike solutions of the paraxial parabolic equation and relatively undistorted wave solutions of the wave equation. As a technical tool, we present a full description of parametrizations of 2 x 2 symmetric matrices with positive imaginary part, which arise in the theory of Gaussian beams.

引用

页数：11

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