Stable Light-Bullet Formation in a Kerr Medium: A Route to Multidimensional Solitons in the Femtosecond Regime

Kazuya HAYATA
Hiroyuki HIGAKI
Masanori KOSHIBA

Publication
IEICE TRANSACTIONS on Electronics   Vol.E78-C    No.1    pp.38-42
Publication Date: 1995/01/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8516
Type of Manuscript: Special Section PAPER (Special Issue on Ultrafast Optoelectronics)
Category: 
Keyword: 
light bullet,  multidimensional soliton,  femtosecond optoelectronics,  quantum field theory,  higher-order nonlinear Schrödinger equation,  

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Summary: 
Ultrashort pulsed-beam propagation in a Kerr-type bulk medium is studied theoretically through classical and quantum field solutions of a higher-order nonlinear Schrödinger equation, which is valid for transversely localized femtosecond pulses in an anomalous dispersion regime. Quantum-mechanical stability analysis via a Hartree approximation to interacting bosons shows that within a certain range of a parameter the solitary wave could be stabilized even in the three-dimensional transverse space-time. This feature admits of an exotic route to multidimensional solitons.