Analysis Of Self-Trapping Using The Spinor Wave Equation

P. Hillion; S. Quinnez

doi:10.1117/12.7973471

1 April 1985 Analysis Of Self-Trapping Using The Spinor Wave Equation

P. Hillion, S. Quinnez

Author Affiliations +

Optical Engineering, Vol. 24, Issue 2, 242290 (April 1985). https://doi.org/10.1117/12.7973471

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.

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P. Hillion and S. Quinnez "Analysis Of Self-Trapping Using The Spinor Wave Equation," Optical Engineering 24(2), 242290 (1 April 1985). https://doi.org/10.1117/12.7973471

Published: 1 April 1985

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