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Related Experiment Videos

Whispering-gallery-bottle microcavities: the three-dimensional etalon.

M Sumetsky1

  • 1OFS Laboratories, 600 Mountain Avenue, Murray Hill, New Jersey 07974, USA. sumetski@ofsoptics.com

Optics Letters
|January 15, 2004
PubMed
Summary

Researchers have inverted quantum rules to determine the shape of whispering-gallery bottles (WGBs) in optical fibers from their light spectrum. This reveals a novel etalon cavity shape, crucial for understanding light confinement in tapered fibers.

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Area of Science:

  • Optics and Photonics
  • Wave Phenomena
  • Mathematical Physics

Background:

  • Tapered optical fibers support localized light structures known as whispering-gallery bottles (WGBs).
  • These 3D structures confine light via total internal reflection and axial reflections from fiber tapering.
  • Analogy exists between WGBs and magnetic bottles used in plasma fusion research.

Purpose of the Study:

  • To investigate the inverse problem: determining WGB cavity shape from its spectral properties.
  • To explore the application of Wentzel-Kramers-Brillouin (WKB) quantization rules for WGBs.
  • To identify and characterize a novel 'etalon bottle' cavity shape within tapered optical fibers.

Main Methods:

  • Exact inversion of Wentzel-Kramers-Brillouin (WKB) quantization rules for prolate WGBs.

Related Experiment Videos

  • Approximation methods to derive the specific shape of the etalon bottle.
  • Comparison of theoretical predictions with ray-dynamics numerical modeling.

    • Main Results:

    • Successfully inverted WKB quantization rules to precisely determine WGB cavity shape from its spectrum.
    • Identified an 'etalon bottle' cavity shape, characterized by a specific fiber radius variation: p(z) = rho0/cos(deltakz).
    • The derived etalon cavity exhibits an unlimited number of equally spaced wave-number eigenvalues, analogous to a 1D Fabry-Perot etalon.

    Conclusions:

    • The study demonstrates the feasibility of determining complex 3D optical cavity shapes from spectral data.
    • The newly identified etalon bottle represents a non-trivial cavity shape not found in standard separable systems.
    • Theoretical findings show excellent agreement with numerical simulations, validating the model for light confinement in tapered fibers.