Abstract
The numerical modelling of ultrashort pulse propagation in highly nonlinear waveguides such as photonic crystal fibers or photonic nanowires typically uses some form of generalized nonlinear Schrodinger equation [1], However, when considering propagation of ultrabroad bandwidth fields with temporal stracture approaching the single-cycle regime, there is a clear need to examine the validity of such envelope-based approaches. In this paper, we present a generalized nonlinear envelope equation (GNEE) that we demonstrate to be valid for regimes where the pulse bandwidth spans many times the optical carrier frequency, and where the temporal electric field contains stracture on a sub-cycle 50 attosecond timescale.
© 2007 IEEE
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