New method to get fundamental Gaussian beam’s perturbation solution and its global property

Autor: J. F. Webb, G.-Z. Wang
Rok vydání: 2008
Předmět:
Zdroj: Applied Physics B. 93:345-348
ISSN: 1432-0649
0946-2171
DOI: 10.1007/s00340-008-3183-3
Popis: Using a multi-variable series method, we successfully investigated the global property of perturbation description for fundamental Gaussian beam. We explicitly proved that as long as the perturbation parameter s≠0, although it includes the Gaussian factor \(\exp(-\frac{\rho^{2}}{4\zeta^{2}+1})\) (ρ and ζ are normalized cylindrical polar coordinates defined in the text), the complete perturbation solution for fundamental Gaussian beam always diverges.
Databáze: OpenAIRE