Surface magneto-optic solitons

Abstract

Solitons, localized at the interface between a linear magneto-optic half-space and a nonlinear optical medium, are investigated with the aid of an approximate model validated by direct numerical simulations. The interface is located in a planar waveguide, and is characterized not only by the magneto-optic properties but also by a linear refractive index discontinuity. The analysis is based upon a global envelope equation and uses waveguide and magneto-optic parameters that are averaged over the whole waveguide structure. A variational analysis shows that, even though surface solitons can be localized in deeply stable stationary states, they can also be generated in parts of the parameter space that facilitate movement between stable and unstable regions. This leads to suggestions for isolator and multi-switch operation.

Response theory for time-resolved second-harmonic generation and two-photon photoemission

“…We do not present the Fresnel formulae here, since they can be found in the literature [25,26]. See also [41,70] for effective Fresnel factors for systems of several layers, such as the important case of a coupling prism separated from the metal by a thin layer of air or vacuum [71]. Of course, it would be of interest to repeat Fresnel's analysis for SFG, in particular deducing phase shifts etc.…”

“…Note that a longitudinal component of the electric field and of the induced polarization generally exists even for a transverse applied external field for lattice models [40,41]; see equation (11).…”

“…This mechanism is relevant at the frequency of the exciting laser field and, in the case of SFG, also at the sum frequency for the outgoing SFG light. It corresponds to the coupling of the external light field to plasmonpolaritons in the solid [41].…”

“…The field within the metal is of course not purely transverse [40,41]. Its transverse and longitudinal components couple with the conduction electrons to form plasmon-polaritons and plasmons, respectively [41].…”

“…Its transverse and longitudinal components couple with the conduction electrons to form plasmon-polaritons and plasmons, respectively [41]. The (longitudinal) plasmon modes only decouple from the applied field for a structureless jellium model of the solid [40,41]. However, we consider a more realistic model that incorporates the crystal structure.…”