Acousto-optic superlattice modulation in fiber Bragg gratings

P. St. J. Russell; W.-F. Liu

doi:10.1364/JOSAA.17.001421

Acousto-optic superlattice modulation in fiber Bragg gratings

P. St. J. Russell and W.-F. Liu

Journal of the Optical Society of America A
Vol. 17,
Issue 8,
pp. 1421-1429
(2000)
•https://doi.org/10.1364/JOSAA.17.001421

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P. St. J. Russell and W.-F. Liu, "Acousto-optic superlattice modulation in fiber Bragg gratings," J. Opt. Soc. Am. A 17, 1421-1429 (2000)

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Previously assigned OCIS codes
- Gratings (050.2770)
- Modulation (060.4080)
- Optical devices (230.0230)

About this Article
History
- Original Manuscript: August 27, 1999
- Revised Manuscript: February 29, 2000
- Manuscript Accepted: February 29, 2000
- Published: August 1, 2000

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Abstract

The superposition of a long-period grating and a fiber Bragg grating, which we call an optical superlattice, causes high-efficiency narrow-band reflections to be induced on either side of the Bragg wavelength. This effect was recently observed experimentally in a fiber-based acousto-optic superlattice modulator. We develop in detail the theory of optical superlattices in fiber Bragg gratings, treating both the acousto-optic and the fixed-grating cases. Applications include reconfigurable wavelength division multiplexers, fiber lasers and sensors, tunable filters, modulators, and frequency shifters.

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λ	$λ > λ_{B}$	$λ > λ_{B}$	$λ < λ_{B}$	$λ < λ_{B}$
$δ = ϑ / 2 κ$	-ve	-ve	+ve	+ve
$η = δ [- 1 + (1 - 1 / δ^{2})^{1 / 2}]$	+ve	+ve	-ve	-ve
$q = (ϑ / 2) (1 - 1 / δ^{2})^{1 / 2}$	-ve	-ve	+ve	+ve
$k_{s} = Ω_{s} / v_{s}$	+ve	-ve	+ve	-ve
$a = {Ks}_{o} / k_{s}$	+ve	-ve	+ve	-ve
$\frac{κ_{m}}{κ} = \frac{[1 + (- 1)^{m} η^{2}] J_{m} (a)}{(1 - η^{2})}$	$sgn J_{m} (a)$	$sgn J_{m} (a)$	$sgn J_{m} (a)$	$sgn J_{m} (a)$
$κ_{0} = \frac{ω n_{0}}{c} \frac{(1 - χ) s_{o} η}{∊_{0} (1 - η^{2})}$	+ve	+ve	-ve	-ve
Frequency shift	$+ m Ω_{s}$	$- m Ω_{s}$	$- m Ω_{s}$	$+ m Ω_{s}$

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