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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 17 — Aug. 16, 2010
  • pp: 18324–18338

Analytical study of pulse amplification in silicon Raman amplifiers

Ivan D. Rukhlenko, Malin Premaratne, Ivan L. Garanovich, Andrey A. Sukhorukov, and Govind P. Agrawal  »View Author Affiliations


Optics Express, Vol. 18, Issue 17, pp. 18324-18338 (2010)
http://dx.doi.org/10.1364/OE.18.018324


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Abstract

The nonlinear process of stimulated Raman scattering is important for silicon photonics as it enables optical amplification and lasing. To understand the dynamics of silicon Raman amplifiers (SRAs), a numerical approach is generally employed, even though it provides little insight into the contribution of different SRA parameters to the signal amplification process. In this paper, we solve the coupled pump-signal equations analytically under realistic conditions, and derive an exact formula for the envelope of a signal pulse when picosecond optical pulses are amplified inside a SRA pumped by a continuous-wave laser beam. Our solution is valid for an arbitrary pulse shape and fully accounts for the Raman gain-dispersion effects, including temporal broadening and group-velocity reduction (a slow-light effect). It can be applied to any pumping scenario and leads to a simple analytic expression for the maximum optical delay produced by the Raman dispersion in a unidirectionally pumped SRA. We employ our analytical formulation to study the evolution of optical pulses with Gaussian, exponential, and Lorentzian shapes. The ability of a Gaussian pulse to maintain its shape through the amplifier makes it possible to realize soliton-like propagation of chirped Gaussian pulses in SRAs. We obtain analytical expressions for the required linear chirp and temporal width of a soliton-like pulse in terms of the net signal gain and the Raman-dispersion parameter. Our results are useful for optimizing the performance of SRAs and for engineering controllable signal delays.

© 2010 Optical Society of America

OCIS Codes
(040.6040) Detectors : Silicon
(190.5650) Nonlinear optics : Raman effect
(230.1150) Optical devices : All-optical devices
(250.4390) Optoelectronics : Nonlinear optics, integrated optics

ToC Category:
Nonlinear Optics

History
Original Manuscript: July 7, 2010
Revised Manuscript: August 11, 2010
Manuscript Accepted: August 11, 2010
Published: August 12, 2010

Citation
Ivan D. Rukhlenko, Malin Premaratne, Ivan L. Garanovich, Andrey A. Sukhorukov, and Govind P. Agrawal, "Analytical study of pulse amplification in silicon Raman amplifiers," Opt. Express 18, 18324-18338 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-17-18324


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