Talbot (1836), Montgomery (1967), Lau (1948) and Wolf (1955) on periodicity in optics

Adolf W. Lohmann, David Mendlovic, Gal Shabtay

Research output: Contribution to journalArticlepeer-review

Abstract

If a wave is laterally periodic, then it is also longitudinally periodic. Nevertheless, lateral periodicity is not needed for longitudinal periodicity. Lateral quasi-periodicity is a more general case and sufficient for longitudinal periodicity. These results can be drawn from the Helmholtz equation, if the light is quasi-monochromatic and spatially coherent. For partially coherent light, similar results can be deduced from the Wolf equations. The triple correlation of a complex amplitude obeys a pair of wave equations, which are constructed exactly like the Wolf equations. Hence, the same laws on periodicity are valid. We present a historical and systematic view of all of those periodicity laws.

Original languageEnglish
Pages (from-to)1121-1124
Number of pages4
JournalPure and Applied Optics (Print edition) (United Kingdom)
Volume7
Issue number5
DOIs
StatePublished - Sep 1998

Fingerprint

Dive into the research topics of 'Talbot (1836), Montgomery (1967), Lau (1948) and Wolf (1955) on periodicity in optics'. Together they form a unique fingerprint.

Cite this