Optical realization of quantum-mechanical invariants.
We study the problem of paraxial propagation in two grade-index media by using invariant techniques that allow a continuous solution of the problem. By using the well-known fact that this problem is analogous to the time-dependent harmonic oscillator in quantum mechanics, known methods there may be imported producing on the one hand a solution to the propagation problem and on the other hand a realization of a quantum-mechanical invariant.
Instituto Nacional de Astrofísica, Optica y Electrónica, Coordinación de Optica, Apartado Postal 51 y 216, 72000 Puebla, Puebla, Mexico. hmmc@inaoep.mx
H
H
Moya-Cessa
M Fernández
MF
Guasti
V M
VM
Arrizon
S
S
Chávez-Cerda