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Proceedings Paper

Theory of transient self-focusing
Author(s): Kangmin Hsia; Cyrus D. Cantrell
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Paper 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.

Paper Details

Date Published: 1 September 1991
PDF: 12 pages
Proc. SPIE 1497, Nonlinear Optics and Materials, (1 September 1991); doi: 10.1117/12.46772
Show Author Affiliations
Kangmin Hsia, Intel Corp. (United States)
Cyrus D. Cantrell, Univ. of Texas/Dallas (United States)


Published in SPIE Proceedings Vol. 1497:
Nonlinear Optics and Materials
Cyrus D. Cantrell; Charles M. Bowden, Editor(s)

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