Abstract

A phase-space path-integral approach to random wave propagation is introduced as a natural extension of the wave-kinetic method. By virtue of its relationship to the Wigner distribution function, the latter is limited to the computation of second-order statistical moments associated with a nonlocal, complex, stochastic, Schrödinger-like equation. The phase-space path approach, on the other hand, permits the asymptotic evaluation of second- and higher-order statistical observables in a manner analogous to that followed in the recently formulated configuration-space path-integral approaches to the conventional local, complex, stochastic, parabolic equation.

© 1985 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Optical phase space, Wigner representation, and invariant quality parameters

R. Simon and N. Mukunda
J. Opt. Soc. Am. A 17(12) 2440-2463 (2000)

Toward a wave turbulence formulation of statistical nonlinear optics

Josselin Garnier, Mietek Lisak, and Antonio Picozzi
J. Opt. Soc. Am. B 29(8) 2229-2242 (2012)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (36)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription