Abstract

The two-dimensional stationary-wave equation (Helmholtz equation) can be solved by a simple linear-optical filtering experiment for arbitrary source distributions. The experiment can be considered as direct visualization of Huygens’s principle, i.e., each point of an initial wave front can be regarded as the source of an elementary wave. Many phenomena can be visualized: diffraction, interference (including Talbot effect, Bragg effect) with monochromatic and polychromatic light, birefringence, etc. Optical filtering can be applied to other linear differential equations with constant coefficients too, such as the Poisson equation and the diffusion equation.

© 1988 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Pulse compression, fiber communications, and diffraction: a unified approach

Athanasios Papoulis
J. Opt. Soc. Am. A 11(1) 3-13 (1994)

Generation of arbitrary complex quasi-non-diffracting optical patterns

Antonio Ortiz-Ambriz, Servando Lopez-Aguayo, Yaroslav V. Kartashov, Victor A. Vysloukh, Dmitri Petrov, Hipolito Garcia-Gracia, Julio C. Gutiérrez-Vega, and Lluis Torner
Opt. Express 21(19) 22221-22231 (2013)

Incoherent optical processing via spatially offset pupil masks

William Stoner
Appl. Opt. 17(15) 2454-2467 (1978)

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

Figures (17)

You do not have subscription access to this journal. Figure files 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 (13)

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