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Spectral invariance and scaling law for nonstationary optical fields

Research output: Contribution to journalArticleScientificpeer-review


Original languageEnglish
Article number033808
Number of pages7
JournalPhysical Review A
Issue number3
Publication statusPublished - 2020
Publication typeA1 Journal article-refereed


We develop a scaling law for a class of statistically nonstationary scalar optical fields, which ensures spectral invariance on their propagation into the far zone of a planar source. The invariance involves the constraint that the normalized far-zone spectrum must be the same in every direction of observation, as well as equal to the normalized area-averaged source spectrum. Thus, it additionally represents an extension of the earlier work by Wolf on stationary fields [Phys. Rev. Lett. 56, 1370 (1986)PRLTAO0031-900710.1103/PhysRevLett.56.1370] that assumed the normalized source spectrum as independent of position. We present examples of both nonstationary and stationary fields that satisfy the scaling law and extended spectral invariance.

Publication forum classification

Field of science, Statistics Finland