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Optical Engineering

Self-Steepening And Self-Modulation Of Optical Beams In The Spinor Theory Of Light
Author(s): P. Hillion; S. Quinnez
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Paper Abstract

Starting with the spinor representation of the electromagnetic field, we consider the propagation of a light beam along the Oz axis of a nonlinear medium. We first prove that for nonstationary processes in a one-dimensional space, the energy conservation takes the form of a conservation equation of kinematic waves. Then, using the method of characteristics, we discuss the self-steepening problem for initial value and boundary condition problems. We give the shock conditions and the shock velocity. The paper ends with a discus-sion of self-modulation.

Paper Details

Date Published: 1 February 1985
PDF: 7 pages
Opt. Eng. 24(1) 241153 doi: 10.1117/12.7973443
Published in: Optical Engineering Volume 24, Issue 1
Show Author Affiliations
P. Hillion, Institut Henri Poincare (France)
S. Quinnez, Laboratoire de Physique Mathematiques (France)


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