Optical beam and pulse propagation in inhomogeneous media. Application to multimode parabolic-index waveguides

Classical simulation of quantum entanglement using optical transverse modes in multimode waveguides

“…(1) is not complete. The optical field propagation may be generally described by means of the density matrix formalism [1] …”

“…So far, there is interest in research on classical wave analogs of the Schrodinger wave function [1][2] [3]. It is well known that, in the paraxial approximation, the transverse modes of an optical field obey a propagation equation which is formally identical to the Schrodinger equation with the time replaced by the axial coordinate [1].…”

Numerical Simulation of Bell Inequality's Violation Using Optical Transverse Modes in Multimode Waveguides

“…The similarities between the Helmholtz equation and the Schrödinger equation have attracted some researches on the analogies between the transverse modes in multimode waveguides and the quantum Fock states [9,10,11]. Besides the uncertainty relation [12], Wigner phase-space distributions of the optical multimode fields exhibiting negative regions are similar to quantum Fock states, which had been verified experimentally [13,14].…”

<title>Light Propagation In An Inhomogeneous Optical Medium</title>

“…Consider,as an example, the inhomogeneous parabolic -index medium n2(x,C) = n -c2(UX2 + 2f(8)X (2) where w(C) is a gradient parameter which describes transverse parabolic distribution of the refractive index and function f (8) describes an axis bend.…”

“…The values w (8) and f(C) are assumed to be arbitrary functions with natural boundary conditions: w( ± ..) = w +,f( ± ..) = O. Then, as Z ÷±00 the stationary modes and rays of the medium exist and the coupling coefficients between them can be calculated using the formalism of the coherent states by analogy with probability of transition between the levels of quantum oscillator with variable frequency being under the action of the external force.…”