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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 20, Iss. 2 — Feb. 1, 2003
  • pp: 273–281

Equivalent circuit of Bragg gratings and its application to Fabry–Pérot cavities

Andrea Melloni, Milena Floridi, Francesco Morichetti, and Mario Martinelli  »View Author Affiliations


JOSA A, Vol. 20, Issue 2, pp. 273-281 (2003)
http://dx.doi.org/10.1364/JOSAA.20.000273


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Abstract

An equivalent circuit of both uniform and apodized symmetrical Bragg gratings is proposed, consisting of an ideal partially reflecting mirror placed between two wavelength-dependent uniform propagating sections. The model is simple, exact, and valid for every wavelength; it can be combined with other port-based models and is of great aid in the analysis and design of devices containing two or more Bragg gratings. As an application, the synthesis of dispersive Bragg gratings based Fabry–Pérot cavities is demonstrated. The conditions under which a Bragg-grating-based Fabry–Pérot cavity behaves exactly as an ideal dispersive Fabry–Pérot cavity are discussed. Experimental results that confirm the theoretical spectral response calculated by using the equivalent circuit are reported.

© 2003 Optical Society of America

OCIS Codes
(050.2230) Diffraction and gratings : Fabry-Perot
(050.2770) Diffraction and gratings : Gratings
(060.2340) Fiber optics and optical communications : Fiber optics components
(130.3120) Integrated optics : Integrated optics devices
(140.4780) Lasers and laser optics : Optical resonators
(230.1480) Optical devices : Bragg reflectors

History
Original Manuscript: May 29, 2002
Revised Manuscript: July 31, 2002
Manuscript Accepted: July 31, 2002
Published: February 1, 2003

Citation
Andrea Melloni, Milena Floridi, Francesco Morichetti, and Mario Martinelli, "Equivalent circuit of Bragg gratings and its application to Fabry–Pérot cavities," J. Opt. Soc. Am. A 20, 273-281 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-2-273

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