Foldy-Wouthuysen transformation and a quasiparaxial approximation scheme for the scalar wave theory of light beams

Abstract

The Foldy-Wouthuysen iterative diagonalization technique is applied to the Helmholtz equation to obtain a Hamiltonian description of the propagation of a monochromatic quasiparaxial light beam through a system in which the refractive index n(x, y, z) varies about a background value n0 such that |n(x, y, z)− n0| ≪ n0. This technique is presented as an… (More)

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