Random medium model for cusping of plane waves

Jia Li, Olga Korotkova

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We introduce a model for a three-dimensional (3D) Schell-type stationary medium whose degree of potential’s correlation satisfies the Fractional Multi-Gaussian (FMG) function. Compared with the scattered profile produced by the Gaussian Schell-model (GSM) medium, the Fractional Multi-Gaussian Schell-model (FMGSM) medium gives rise to a sharp concave intensity apex in the scattered field. This implies that the FMGSM medium also accounts for a larger than Gaussian’s power in the bucket (PIB) in the forward scattering direction, hence being a better candidate than the GSM medium for generating highly-focused (cusp-like) scattered profiles in the far zone. Compared to other mathematical models for the medium’s correlation function which can produce similar cusped scattered profiles the FMG function offers unprecedented tractability being the weighted superposition of Gaussian functions. Our results provide useful applications to energy counter problems and particle manipulation by weakly scattered fields.

Original languageEnglish (US)
Pages (from-to)3251-3254
Number of pages4
JournalOptics Letters
Issue number17
StatePublished - Sep 1 2017

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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