Classical theory of cylindrical nonlinear optics: Sum- and difference-frequency generation

Journal Article · Sat Oct 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.043841· OSTI ID:22093397

Hao, Xiong; Liugang, Si; Chunling, Ding; Xiaoxue, Yang; Ying, Wu ^[1]

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1. Wuhan National Laboratory for Optoelectronics and School of Physics, Huazhong University of Science and Technology, Wuhan 430074 (China)

The process of two input electromagnetic waves at different frequencies overlapping in a nonlinear medium is a typical phenomenon of nonlinear optics. The traditional method of dealing with such a problem is to use the coupled-wave equations. In this paper, sum- and difference-frequency generation of cylindrical electromagnetic waves in a nonlinear medium is investigated in a different way. We use exact solutions of Maxwell's equations to describe the propagation of cylindrical electromagnetic waves in a nonlinear medium and show that sum- and difference-frequency generation comes out quite naturally from such exact solutions. For comparison, the traditional method of utilizing the coupled-wave equations is also discussed, and we find that the results obtained from the two different approaches are consistent with each other.

• OSTI ID: 22093397
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 84; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMPARATIVE EVALUATIONS
CYLINDRICAL CONFIGURATION
ELECTROMAGNETIC RADIATION
EXACT SOLUTIONS
MAXWELL EQUATIONS
NONLINEAR OPTICS
NONLINEAR PROBLEMS
WAVE EQUATIONS
WAVE PROPAGATION