Theory of transient self-focusing

Kangmin Hsia; Cyrus D. Cantrell

doi:10.1117/12.46772

1 September 1991 Theory of transient self-focusing

Kangmin Hsia, Cyrus D. Cantrell

Proceedings Volume 1497, Nonlinear Optics and Materials; (1991) https://doi.org/10.1117/12.46772
Event: Southcentral '91 (Dallas), 1991, Dallas, TX, United States

Abstract

By using the hydrodynamic symmetric description, the quasi-static model of self-focusing processes has been extended to include the transient effect of nonlinear medium response. This paper presents a new operator method to study the transient nonlinear refractive index and two-photon absorption processes in which the laser pulse-width is assumed to be much shorter than or comparable to the response time of the nonlinear medium. The numerical computation uses a finite-difference implementation of a characteristic method. The asymmetrical focusing structure in full spatial and temporal coordinates are obtained. The pulse-width self- compression and the peak shifting of the wave field envelope, corresponding to the asymmetrical and anomalous broadening of the spectrum, are verified in the transient case. The influence on the self-focusing process of various parameters, including the saturation effect, is discussed.

Citation Download Citation

Kangmin Hsia and Cyrus D. Cantrell "Theory of transient self-focusing", Proc. SPIE 1497, Nonlinear Optics and Materials, (1 September 1991); https://doi.org/10.1117/12.46772

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