Abstract
A novel physical concept termed ‘‘spatiotemporal mode’’ is presented for ultrashort optical pulse-beam propagation in a saturable Kerr-law nonlinear medium. The mathematical structure of the mode with spherical symmetry is described analytically. Dispersion characteristics are calculated and compared with those of the conventional spatial modes in planar and cylindrical dielectric waveguides. Nonvanishing cutoff frequency is obtained even for the fundamental mode.

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