Shock formation in magnetic thin films

• Published in: IEEE transactions on magnetics Vol. 37; no. 4; pp. 2460 - 2462
• Main Authors: Zaspel, C.E., Rapoport, Yu.G., Yashiro, K., Ohkawa, S.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: New York, NY IEEE 01-07-2001; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Condensed matter: electronic structure, electrical, magnetic, and optical properties; Dispersion; Electric shock; Exact sciences and technology; Frequency; Magnetic films; Magnetic properties and materials; Magnetic properties of monolayers and thin films; Magnetic properties of surface, thin films and multilayers; Magnetism; Maxwell equations; Microstrip antennas; Nonlinear equations; Optical films; Optical pulses; Physics; Solitons; Thin films; Magnetostatics; Digital simulation; Magnetostatic waves; Solitons; Theoretical study; Schroedinger equation; Magnetic thin films; Magnetic properties
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/20.951203

Envelope pulses modeled by a nonlinear Schroedinger equation can exhibit shock formation. This effect occurs when third order linear dispersion and nonlinear dispersion are included in the model equation. Numerical modeling of the higher order equation indicates that at lower pulse amplitudes a soliton will form, but as the pulse amplitude is increased a shock will form before the formation of a soliton.