Variational approach to nonparaxial self-focusing of high-power laser beams in nonlinear media

Jing Jin; Shuangchun Wen; Wangyang Cai; Xiquan Fu; Dianyuan Fan

doi:10.1117/12.569232

26 January 2005 Variational approach to nonparaxial self-focusing of high-power laser beams in nonlinear media

Jing Jin, Shuangchun Wen, Wangyang Cai, Xiquan Fu, Dianyuan Fan

Proceedings Volume 5627, High-Power Lasers and Applications III; (2005) https://doi.org/10.1117/12.569232
Event: Photonics Asia, 2004, Beijing, China

Abstract

We apply the variational approach to solve the nonparaxial nonlinear Schrodinger equation to disclose the nonparaxial propagation properties of a Gaussian beam. A system of differential equations for the evolution of the parameters of Gaussian beam is obtained. The obtained analytical results clearly show the nonparaxial propagation process of periodic focusing-defocusing. This process is significantly influenced by the initial power and chirp of the beam. A positive chirp retards the first self-focus, while a negative chirp brings forward the first self-focus. Both positive and negative chirps increase the subsequent focusing-defocusing cycles.

Citation Download Citation

Jing Jin, Shuangchun Wen, Wangyang Cai, Xiquan Fu, and Dianyuan Fan "Variational approach to nonparaxial self-focusing of high-power laser beams in nonlinear media", Proc. SPIE 5627, High-Power Lasers and Applications III, (26 January 2005); https://doi.org/10.1117/12.569232

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available