Light Propagation in Nonlinear Waveguide and Classical Two-Dimensional Oscillator

Details Light Propagation in Nonlinear Waveguide and Classical Two-Dimensional Oscillator Light Propagation in Nonlinear Waveguide and Classical Two-Dimensional Oscillator

1997-06-13

arxiv.org/abs/quant-ph/9706029v2

Physics

Quantum Physics

14 pages, including one Table, 29 bibliographic references; E-mail: Angelow@bgcict.acad.bg

Scientific paper

The quantum optical problem of the propagation of electromagnetic waves in a nonlinear waveguide is related to the solutions of the classical nonstationary harmonic oscillator using the method of linear integrals of motion [ Malkin et.al., Phys Rev. 2D (1970) p.1371 ]. An explicit solution of the classical oscillator with a varying frequency, corresponding to the light propagation in an anisotropic waveguide is obtained using the expressions for the quantum field fluctuations. Substitutions have been found which allow to establish connections of the linear and quadratic invariants of Malkin et.al. to several types of invariants of quadratic systems, considered in later papers. These substitutions give the opportunity to relate the corresponding quantum problem to that of the classical two-dimensional nonstationary oscillator, which is physically more informative.

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