Approximate analytic solutions for diffraction by non-uniform reflection geometry fiber Bragg gratings
✍ Scribed by John T. Sheridan; Alan G. Larkin
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 410 KB
- Volume
- 236
- Category
- Article
- ISSN
- 0030-4018
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✦ Synopsis
Approximate analytic expressions for the transmitted and diffracted fields from a non-uniform in-fiber Bragg grating are presented, in terms of Hermite and Kummer confluent hypergeometric functions. These novel approximate analytic solutions are derived for the case of a grating having both a weak linear variation of grating period with length (weak linear chirp) and a quadratic approximation to a Gaussian refractive index modulation variation. The solution is derived using the Beta-value first-order two-wave coupled differential equations and describes both on-and off-Bragg replay. The equations are shown to be useful, when compared to more exact numerical results, for a wide range of practical grating parameter values.