Theory of third-harmonic generation using Bessel beams, and self-phase-matching

被引:49
作者
Tewari, SP
Huang, H
Boyd, RW
机构
[1] UNIV HYDERABAD, SCH PHYS, HYDERABAD 500046, ANDHRA PRADESH, INDIA
[2] UNIV ROCHESTER, DEPT PHYS & ASTRON, ROCHESTER, NY 14627 USA
来源
PHYSICAL REVIEW A | 1996年 / 54卷 / 03期
关键词
D O I
10.1103/PhysRevA.54.2314
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Taking Bessel beams (J(0) beam) as a representation of a conical beam, and a slowly varying envelope approximation (SVEA) we obtain the results for the theory of third-harmonic generation from an atomic medium, We demonstrate how the phenomenon of self-phase-matching is contained in the transverse-phase-matching integral of the theory. A method to calculate the transverse-phase-matching integral containing four Bessel functions is described which avoids the computer calculations of the Bessel functions. In order to consolidate the SVEA result an alternate method is used to obtain the exact result for the third-harmonic generation. The conditions are identified in which the exact result gees over to thr result of the SVEA. The theory for multiple Bessel trams is also discussed which has been shown to be the source of the wide width of the efficiency curve of the third-harmonic generation observed in experiments.
引用
收藏
页码:2314 / 2325
页数:12
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