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Applied Optics

Applied Optics


  • Vol. 42, Iss. 27 — Sep. 20, 2003
  • pp: 5442–5449

Theory of quarter-wave-stack dielectric mirrors used in a thin Fabry-Perot filter

Elsa Garmire  »View Author Affiliations

Applied Optics, Vol. 42, Issue 27, pp. 5442-5449 (2003)

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I present a new derivation of the analytic form for the phase shift near resonance and the optical penetration length upon reflection from a distributed dielectric mirror consisting of a quarter-wave stack. The requirement of proper termination to achieve high reflectivity is suspended to investigate large optical penetration depths. Separate equations, derived for N and N + 1/2 layer pairs, are convenient for the design of tunable Fabry-Perot filters with a specified tuning range. The analysis is also applicable to distributed Bragg reflectors, vertical-cavity surface-emitting lasers, and resonant photodiodes. I show that the penetration length can sharply reduce the overly broad free spectral range of an ultrathin Fabry-Perot filter that might be useful in applications such as tunable wavelength filters for wavelength division multiplexing applications. The results also demonstrate regimes of zero dispersion and of superluminal reflection in the dielectric mirrors, which are of particular interest in photonic bandgap structures.

© 2003 Optical Society of America

OCIS Codes
(120.2230) Instrumentation, measurement, and metrology : Fabry-Perot
(120.2440) Instrumentation, measurement, and metrology : Filters
(120.5700) Instrumentation, measurement, and metrology : Reflection
(140.4780) Lasers and laser optics : Optical resonators
(230.4040) Optical devices : Mirrors

Original Manuscript: November 21, 2002
Revised Manuscript: May 30, 2003
Published: September 20, 2003

Elsa Garmire, "Theory of quarter-wave-stack dielectric mirrors used in a thin Fabry-Perot filter," Appl. Opt. 42, 5442-5449 (2003)

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