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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References

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Appl. Opt.

J. Lightwave Technol.

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.

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

Opt. Lett.

Other

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.

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.

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.

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