Using boundary-integral projections for time-harmonic electromagnetic (EM) fields, and their numerical implementation, we analyze EM resonance in slabs of two-phase dielectric photonic crystal materials. We characterize resonant frequencies by a complex Floquet-Bloch dispersion relation ω = W (β) defined by the existence of a nontrivial nullspace of a pair of boundary-integral projections param...

Resonant relaxation is a novel form of two-body relaxation that arises in nearly Keplerian disks such as protoplanetary disks. Resonant relaxation does not affect the semimajor axes of the particles, but enhances relaxation of particle eccentricities and inclinations. The equilibrium state after resonant relaxation is a Rayleigh distribution, with the mean-square eccentricity and inclination in...

Over the past two decades plenty of resonant and quasi-resonant converters have been developed and proposed as an answer to the difficulties raised by square-wave converters, especially those related to their parasitic elements. The basic idea is to put these parasitics in use. The core of both classes of converters is a tank circuit. Unlike resonant converters, where it takes part actively in ...

A new methodology for developing average models of resonant converters is presented and verified against cycle by cycle simulation. The proposed model ing approach applies the concept of Rac(t) which represent the instantaneous effective load of the resonant network. Unlike the treatment given in previous studies, the value of Rac is evaluated here dynamically as a function of the temporal low-...

Extremely asymmetrical scattering (EAS) is a highly resonant type of Bragg scattering with a strong resonant increase of the scattered wave amplitude inside and outside the grating. EAS is realized when the scattered wave propagates parallel to the grating boundaries. We present a rigorous algorithm for the analysis of non-steady-state EAS, and investigate the relaxation of the incident and sca...

We have observed resonant energy transfer between cold Rydberg atoms in spatially separated cylinders. Resonant dipole-dipole coupling excites the 49s atoms in one cylinder to the 49p state while the 41d atoms in the second cylinder are transferred down to the 42p state. We have measured the production of the 49p state as a function of separation of the cylinders (0-80 microm) and the interacti...

The paper presents an active power filter control method. The reference signal is generated in the stationary reference frame α-β using multiresolution analysis and the controllers used are P-resonant controllers, suitable for this particular application due to the fact that the steady-state error is zero for sinusoidal references with the frequency corresponding to the resonant frequency of th...

abstract A new methodology for developing average models of resonant converters is presented and verified against cycle by cycle simulation, showing excellent agreement. The proposed modeling approach applies the concept of R ac () t which represent the instantenous effective load of the resonant network. The model can be used as is to run steady state (DC), large signal (transient) and small s...

Propagation of the extremely short electromagnetic pulse in non-linear dielectric media without the slowly varying envelope approximation is discussed. The models under consideration take into account both resonant and not-resonant excitations of non-linear medium, and polarisation states of electromagnetic wave. Steady state solutions of the relevant equations are presented for certain of thes...