Propagation of quasisolitons in a fiber Bragg grating written in a slow saturable fiber amplifier
- Department of Electrical Engineering, Technion-Israel Institute of Technology, Haifa 32000 (Israel)
We show, by using numerical simulations, that quasisolitons can propagate over a long distance in a fiber Bragg grating that is written in a slow saturable fiber amplifier, such as an erbium-doped fiber amplifier. During the pulse propagation, the front end of the pulse experiences a net gain while the rear end of pulse is attenuated due to the combination of gain saturation and loss. However, the pulse profile almost does not change after propagating over a length of 5 m that is approximately 2500 times larger than the spatial pulse width. The pulse amplitude has an approximately hyperbolic secant profile. We develop a reduced model by using a multiscale analysis to study solitary-wave propagation when nonlinearity and gain are small. When gain saturation also becomes small we find analytically a new family of solitary-wave hyperbolic-secant solutions that approximately solve the reduced model. The solitary waves propagate slightly faster than Bragg solitons that propagate in fiber Bragg gratings without gain and loss.
- OSTI ID:
- 21546853
- Journal Information:
- Physical Review. A, Vol. 83, Issue 5; Other Information: DOI: 10.1103/PhysRevA.83.053803; (c) 2011 American Institute of Physics; ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
74 ATOMIC AND MOLECULAR PHYSICS
AMPLIFIERS
AMPLITUDES
BRAGG REFLECTION
COMPUTERIZED SIMULATION
DOPED MATERIALS
ERBIUM
GRATINGS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
OPTICAL FIBERS
PULSES
SATURATION
SOLITONS
WAVE PROPAGATION
ELECTRONIC EQUIPMENT
ELEMENTS
EQUIPMENT
FIBERS
MATERIALS
METALS
QUASI PARTICLES
RARE EARTHS
REFLECTION
SIMULATION