Resonant-state-expansion Born approximation for waveguides with dispersion

Dispersion representations for hard exclusive processes: beyond the Born approximation

Several hard exclusive scattering processes admit a description in terms of generalized parton distributions and perturbative hard-scattering kernels. Both the physical amplitude and the hard-scattering kernels fulfill dispersion relations. We give a detailed investigation of their consistency at all orders in perturbation theory. The results shed light on the information about generalized part...

Exact dispersion relation for nonlinear plasmonic waveguides

We derive an exact dispersion relation for the surface plasmon polaritons of a nonlinear plasmonic waveguide using exact field decomposition of TM waves. Our approach generalizes the known linear dispersion relations to the case of a medium nonlinearity of the form εNL = εL + α|E|2n. We apply the unique dispersion relation to a plasmonic waveguide with a Kerr-type nonlinearity (n = 1) and show ...

Approximation algorithms for geometric dispersion

Themost basic form of themax-sum dispersion problem (MSD) is as follows: given n points in Rq and an integer k, select a set of k points such that the sum of the pairwise distances within the set is maximal. This is a prominent diversity problem, with wide applications in web search and information retrieval, where one needs to find a small and diverse representative subset of a large dataset. ...

Approximation Algorithms for Dispersion Problems

Testing Born-Infeld electrodynamics in waveguides.

Waveguides can be employed to test nonlinear effects in electrodynamics. We solve Born-Infeld equations for TE waves in a rectangular waveguide. We show that the energy velocity acquires a dependence on the amplitude, and harmonic components appear as a consequence of the nonlinear behavior.