Compressive Interferometry for Optical Modal Analysis in Arbitrary Degrees of Freedom

نویسندگان

  • Davood Mardani
  • George Atia
  • Ayman F. Abouraddy
چکیده

Modal analysis of an optical beam refers to analyzing the beam into its constituent modes. In this paper, a new compressive approach for modal analysis of sparse beams using generalized interferometry in arbitrary degrees of freedom (DoFs) is proposed. It is shown that the modal content can be recovered by solving a sparse recovery problem based on random interferometric measurements obtained by sweeping the parameter(s) of unitary optical transformations that generalize the traditional temporal delay to an arbitrary DoF. The proposed compressive approach holds significant potential to reduce the computational complexity for modal analysis of optical beams in arbitrary DoFs using native optics hardware, namely two-path interferometry, with no need for extra hardware.

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تاریخ انتشار 2015