Partially coherent superoscillations in the Talbot effect

Abstract

Oscillations of a wavefield that are locally higher than the bandlimit of the field are known as superoscillations. Superoscillations have to date been studied primarily in coherent wavefields; here we look at superoscillations that appear in the phase of the correlation function in partially coherent Talbot carpets. Utilizing the Talbot effect, it is shown that superoscillations can be propagated into the far field, even under a decrease in spatial coherence. It is also shown that this decrease in spatial coherence can strengthen the superoscillatory behavior at the primary and secondary Talbot images.

Document Details

Document Type
Pub Defense Publication
Publication Date
Dec 16, 2022
Source ID
10.1088/1751-8121/acaa78

Entities

People

  • Greg Gbur
  • Joseph Mays

Organizations

  • Air Force Office of Scientific Research

Tags

Fields of Study

  • Physics

Readers

  • Educational Psychology
  • Fluid Mechanics and Fluid Dynamics.
  • Wave Propagation and Nonlinear Chaotic Dynamics.