Title :
A coupled-mode analysis of modulation instability in optical fibers
Author :
Huang, Weiping ; Hong, Jin
Author_Institution :
Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada
fDate :
2/1/1992 12:00:00 AM
Abstract :
A coupled-mode formulation in the frequency domain has been developed and applied to the analysis of the modulation instability (MI) due to the self- and cross-phase modulations (SPM and XPM) in optical fibers. The modulation instability of two copropagating beams with the same polarization at different carrier frequencies is examined in detail. It is demonstrated that, by identifying the phase-matching conditions among different sideband components, the modulation instability due to the SPM and the XPM may be described by a set of reduced coupled-mode equations. Simple analytical expressions for the gain are derived under this condition. The approximate formulas are compared with the full wave solutions and their scopes of validity are discussed
Keywords :
nonlinear optics; optical fibres; optical modulation; optical waveguide theory; phase modulation; approximate formulas; beam polarization; carrier frequencies; copropagating beams; coupled-mode analysis; cross-phase modulations; fibre gain; frequency domain; full wave solutions; modulation instability; optical fibers; phase-matching conditions; reduced coupled-mode equations; self phase modulation; sideband components; Coupled mode analysis; Frequency conversion; Frequency domain analysis; Optical coupling; Optical fiber polarization; Optical fibers; Optical frequency conversion; Optical modulation; Phase modulation; Scanning probe microscopy;
Journal_Title :
Lightwave Technology, Journal of
