Engineering Stochastic Optical Modes

Abstract

In this chapter, we describe the engineering of optical modes whose axial structure follows fluctuations of Markov-chain type. The stochastic processes are associated with a sequence of time subintervals of duration ΔT. Each subinterval is linked to a Bessel mode of integer order. This process models a thermodynamic equilibrium and can be related to the evolution and stability of optical systems. The matrix representation for the stochastic process allows the incorporation of entropy properties and therefore, it is possible to deduce the similarity with completely coherent modes. This property is known as the purity of the optical mode. Herein, the resulting optical field is simulated using Markov-chain type Ehrenfest process.