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Diffraction integral and propagation of Hermite-Gaussian modes in a linear refractive index medium

Journal of the Optical Society of America A: Optics and Image Science, and Vision, ISSN: 1520-8532, Vol: 31, Issue: 5, Page: 914-919
2014
  • 11
    Citations
  • 0
    Usage
  • 4
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    11
    • Citation Indexes
      11
  • Captures
    4

Article Description

We derive a diffraction integral to describe the paraxial propagation of an optical beam in a graded index medium with the permittivity linearly varying with the transverse coordinate. This integral transformation is irreducible to the familiar ABCD transformation. The form of the integral transformation suggests that, unlike a straight path in a homogeneous space, any paraxial optical beam will travel on a parabola bent toward the denser medium. By way of illustration, an explicit expression for the complex amplitude of a Hermite-Gaussian beam in the linear index medium is derived. © 2014 Optical Society of America.

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