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Optical Engineering

Analysis Of Self-Trapping Using The Spinor Wave Equation
Author(s): P. Hillion; S. Quinnez
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Paper Abstract

Using the nonlinear spinor equation in cylindrical coordinates (r, cp, z), we prove that for some particular amplitudes of the spinor field, there exist quasi-plane-wave solutions xif(r, c a , z) = exp(iKzz) 43(r, (p) such that 11(0, c o , z) = const, rim xl(r,(p,z) = 0 with the integral of 14,12 rdr bounded. Such ---.00 solutions intervene to describe the self-trapping of optical beams. Since one may define the electromagnetic field (E, H) in terms of the spinor V' and its transpose TT, we are able to discuss the possible modes of propagation. A comparison with previous works is also given.

Paper Details

Date Published: 1 April 1985
PDF: 8 pages
Opt. Eng. 24(2) doi: 10.1117/12.7973471
Published in: Optical Engineering Volume 24, Issue 2
Show Author Affiliations
P. Hillion, Institut Henri Poincare (France)
S. Quinnez, Laboratoire de Physique Mathematiques (France)


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