Self-guided waves and exact solutions of the nonlinear Helmholtz equation
2000 (English)In: Journal of the Optical Society of America. B, Optical physics, ISSN 0740-3224, Vol. 17, no 5, 751-757 p.Article in journal (Refereed) Published
The paraxial wave theory is known to lead to inaccurate predictions in self-focusing of optical beams. The nonlinear Helmholtz equation describes more accurately wave propagation in dispersive, spatially local, Kerr-type media. We derive rigorous bright and dark solutions to the nonlinear Helmholtz equation in a full three-dimensional form. These expressions are new and unique. The solutions are obtained with a multidimensional extension of the (paraxial) nonlinear Schrodinger equation. We also establish energy conservation laws for both nonlinear wave equations in terms of spatial currents. Our results give insight, for example, into the diffraction and breakup of tightly confined nonlinear fields.
Place, publisher, year, edition, pages
2000. Vol. 17, no 5, 751-757 p.
phase modulation, laser-beams
IdentifiersURN: urn:nbn:se:kth:diva-19738ISI: 000086948300009OAI: oai:DiVA.org:kth-19738DiVA: diva2:338430
QC 201005252010-08-102010-08-10Bibliographically approved