Modeling of microwave magnetic envelope solitons in thin ferrite films through the nonlinear Schrödinger equation

Zhang, Hong Yan; Kaboš, Pavel; Xia, Hua; Staudinger, R.; Kolodin, P.A.; Patton, Carl E.

doi:10.1063/1.368556

Cited by 24 publications

(14 citation statements)

References 19 publications

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“…These values are right at the high end of the 0.01-0.10 range that is typical for MME solitons. 14 The ͉u͉ values for multi-peaked solitons should be at the high end of this range, of course, because the higher powers are needed to produce MPS pulses in the first place.…”

Section: Theoretical Connectionsmentioning

confidence: 98%

Spatial evolution of multipeaked microwave magnetic envelope solitons in yttrium iron garnet thin films

Kraemer

Scott

et al. 2004

Phys. Rev. B

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The spatial evolution of multi-peaked microwave magnetic envelope solitons in a thin yttrium iron garnet (YIG) film has been measured and analyzed. The experiments were done on a long and narrow 5-m-thick single-crystal YIG film strip. Double-peaked and triple-peaked magnetostatic backward volume wave soliton pulses were excited at a nominal carrier frequency of 7.0 GHz. The measurements utilized a movable inductive magnetodynamic probe detection system. The formation of these multi-peaked soliton (MPS) pulses is a two step process. First, an initial single large amplitude pulse gradually separates into two or more nonsolitonic peaks. After a certain propagation time, these nonsolitonic peaks evolve, in sequence, into solitonic peaks with constant phase (CP) and an overall stair-like profile. Typically, the larger amplitude peaks lead in time and become solitonic first. As the MPS signals propagate and decay, the peaks lose their CP character in reverse sequence. The region of existence for the "fully formed" MPS pulses for which all the individual peaks have CP character is extremely narrow, typically on the order of a few tenths of a millimeter. The velocities of the individual peaks scale linearly with the peak powers. A nonlinear response analysis of the peak velocity based on the method of envelopes gives a reasonable match to the data.

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Section: Theoretical Connectionsmentioning

confidence: 98%

Spatial evolution of multipeaked microwave magnetic envelope solitons in yttrium iron garnet thin films

Kraemer

Scott

et al. 2004

Phys. Rev. B

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“…It may be noteworthy that this match is obtained without the inclusion of damping in the model. The NLS equation with damping included has been shown to provide an accurate model for bright MME solitons in YIG films [16].…”

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confidence: 99%

Self-Generation of Fundamental Dark Solitons in Magnetic Films

2000

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The self-generation of single, fundamental, stable, spin-wave-envelope black and gray dark solitons has been realized for the first time. These solitons were generated from microwave magnetostatic surface waves (MSSWs) propagated in an in-plane magnetized yttrium iron garnet film MSSW delay line in a resonant ring. These fundamental dark solitons were made possible by a new and general filtering technique for a high gain nonlinear resonant ring. The amplitude and phase profiles together with the power spectra of the self-generated microwave pulses confirm their fundamental dark soliton nature.

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“…1,2 This technique provides an excellent method to experimentally test models of soliton formation and propagation in these systems. In particular, numerous past experiments [3][4][5] have indicated that the standard one-dimensional ͑1D͒ nonlinear Schrödinger ͑NLS͒ model gives an adequate description of soliton propagation in YIG films. In order for the 1D NLS model to be applicable, the following conditions are usually satisfied in experiments: first, the width of the film must be much less than the film length with typical film dimensions of 2ϫ15 mm 2 , and second, the input transducer must extend across the film width.…”

Section: Department Of Environmental Sciences University Of Montana/mentioning

confidence: 99%

Quasi-stable microwave envelope pulse propagation in wide ferrite films

Zaspel

2003

Journal of Applied Physics

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Magnetic microwave envelope pulses propagating in ferrite films can be modeled by a nonlinear Schrödinger equation. In a wide film, this process is modeled by a two-dimensional nonlinear Schrödinger equation, which exhibits instability and eventual collapse of an envelope pulse. However, it is also known that dissipation can stop the collapse, resulting in the formation of a quasi-stable spin-wave “bullet,” which eventually broadens and dissipates as it propagates down the film. In experiments, it has been shown that the bullet has an elliptical cross-section and it propagates for about 100 ns as a quasi-stable structure. Here, it is shown that the standard two-dimensional nonlinear Schrödinger model with dissipation will model these data.

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Modeling of microwave magnetic envelope solitons in thin ferrite films through the nonlinear Schrödinger equation

Cited by 24 publications

References 19 publications

Spatial evolution of multipeaked microwave magnetic envelope solitons in yttrium iron garnet thin films

Spatial evolution of multipeaked microwave magnetic envelope solitons in yttrium iron garnet thin films

Self-Generation of Fundamental Dark Solitons in Magnetic Films

Quasi-stable microwave envelope pulse propagation in wide ferrite films

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