Title :
Calculation of the formation time for microwave magnetic envelope solitons
Author :
Staudinger, Reinhold A. ; Kabos, Pavel ; Xia, Hua ; Faber, Byron T. ; Patton, Carl E.
Author_Institution :
Dept. of Phys., Colorado State Univ., Fort Collins, CO, USA
fDate :
7/1/1998 12:00:00 AM
Abstract :
The theoretical formation and propagation properties of microwave magnetic envelope solitons were modeled from the nonlinear Schrodinger equation without damping. Based on soliton threshold input amplitude criteria from inverse scattering theory, input amplitudes were set midpoint between the one- and two-soliton threshold values. The soliton formation time Ts was defined as the time required for the pulse amplitude to stabilize after launch. This Ts was found to be independent of the nonlinear response coefficient N and to vary as the inverse of the dispersion coefficient D. One possible way to model these Ts dependencies is through the relation Ts≈[Td Tnl]1/2, where T d and Tnl are characteristic dispersion and nonlinear response times, respectively. This result suggests a simple geometric mean relation between these characteristic times
Keywords :
Schrodinger equation; magnetostatic waves; solitons; dispersion coefficient; formation time; inverse scattering; microwave magnetic envelope soliton; nonlinear Schrodinger equation; nonlinear response coefficient; pulse propagation; threshold input amplitude; Damping; Delay estimation; Dispersion; Magnetostatic waves; Microwave magnetics; Nonlinear equations; Physics; Pulse measurements; Solitons; Space vector pulse width modulation;
Journal_Title :
Magnetics, IEEE Transactions on