Spatial Soliton Deflection Mechanism Indicated by FD-TD Maxwell's Equations Modeling

Rose M. Joseph, Allen Taflove

Research output: Contribution to journalArticlepeer-review

52 Scopus citations


We present first-time calculations from the time- domain vector Maxwell's equations of spatial optical soliton propagation and mutual deflection, including carrier waves, in a 2-D homogeneous Kerr-type nonlinear dielectric. The nonlinear Schrodinger equation predicts that two co-propagating, in-phase spatial solitons remain bound to each other, executing a periodic separation. This disagrees with our new extensively tested finite-difference time-domain (FD-TD) solution of Maxwell’s equations. FD-TD shows that co-propagating in-phase spatial solitons become unbound, i.e. diverge to arbitrarily large separations, if the ratio of soliton beamwidth to wavelength is order 1 or less. Not relying upon paraxial approximations or analogies to temporal soliton interactions, FD-TD appears to be a robust means of obtaining detailed models of the interaction of sub-picosecond pulsed light beams in nonlinear media directly in the space-time domain.

Original languageEnglish (US)
Pages (from-to)1251-1254
Number of pages4
JournalIEEE Photonics Technology Letters
Issue number10
StatePublished - Oct 1994
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Electrical and Electronic Engineering


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