Abstract

We propose the use of V-I matrices well known in microwave engineering to the analysis of photonic devices, especially those based on multilayer dielectrics. As an application we present a novel fast effective index method for the analysis of fiber Bragg gratings based on the use of V-I transmission matrices. It combines the exactitude of traditional effective index methods and the speed of coupled-mode methods.

© 2003 IEEE

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Appl. Opt. (2)

J. Lightwave Technol. (3)

T. Erdogan, "Fiber grating spectra", J. Lightwave Technol., vol. 15, pp. 1277-1294, 1997.

D. Pastor, et al. "Design of apodised linearly chirped fiber Bragg gratings for dispersion compensation", J. Lightwave Technol., vol. 14, pp. 2581-2588, 1996.

J. Capmany and M. A. Muriel, "A new transfer matrix for the analysis of fiber ring resonators: Compound coupled structures for FDMA demultiplexing", IEEE J. Lightwave Technol., vol. 8, pp. 1904-1919, 1990.

Opt. Lett. (1)

Other (9)

K. O. Hill and G. Meltz, "Fiber Bragg grating technology fundamentals and overview", J. Lightwave Technol., vol. 15, no. 8, pp. 1263-1276, 1997.

R. Kashyap, Fiber Bragg Gratings, San Diego, CA: Academic, 1999.

A. Othonos and K. Kalli, Fiber Bragg Gratings: Fundamentals and Applications in Telecommunications and Sensing, Boston, MA: Artech House, 1999.

C. Madsen and J. Zhao, Optical Filter Design and Analysis:A Signal Processing Approach, New York: Wiley, 1999.

A. Yariv, "Coupled-mode theory for guided-wave optics", IEEE J. Quantum Electron. , vol. QE-9, pp. 919-933, 1973.

H. Kogelnik, "Filter response of nonuniform almost periodic structure", Bell Syst. Tech. J., vol. 55, p. 109, 1976.

L. A. Weller-Brophy and D. G. Hall, "Analysis of waveguide gratings: Applications of Rouard's method", J. Opt. Soc. Amer. , vol. A-4, pp. 60-65, 1987.

A. J. Seeds, "Microwave photonics", IEEE Microwave Theory Tech., vol. 50, pp. 877-887, 2002.

D. M. Pozar, Microwave Engineering, 2nd ed. New York: Wiley, 1998.

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