Decay of Resonance Structure and Trapping Effect in Potential Scattering Problem of Self-Focusing Wave Packet
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概要
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Potential scattering problems governed by the time-dependent Gross--Pitaevskii equation are investigated numerically for various values of coupling constants. The initial condition is assumed to have the Gaussian-type envelope, which differs from the soliton solution. The potential is chosen to be a box or well type. We estimate the dependences of reflectance and transmittance on the width of the potential and compare these results with those given by the stationary Schrödinger equation. We attribute the behaviors of these quantities to the limitation on the width of the nonlinear wave packet. The coupling constant and the width of the potential play an important role in the distribution of the waves appearing in the final state of scattering.
- 2011-08-15
著者
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Yajima Tetsu
Department Of Applied Physics Faculty Of Engineering University Of Tokyo
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Okumura Masahiko
CCSE, Japan Atomic Energy Agency
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Mine Makoto
Waseda University Honjo Senior High School, Honjo, Saitama 367-0032, Japan
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Mine Makoto
Waseda University Honjo Senior High School, Honjo, Saitama 367-0035, Japan
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FUJISHIMA Hironobu
Optics R&D Center, CANON Inc., Utsunomiya 323-3298, Japan
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Yajima Tetsu
Department of Information Systems Science, Graduate School of Engineering, Utsunomiya University, Utsunomiya 321-8585, Japan
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Fujishima Hironobu
Optics R&D Center, CANON Inc., Utsunomiya 323-3298, Japan
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