We have developed and tested a version of the resolvent (or Green's function) method, based on the shift-inverse of the Maxwellian operator, that ensures stable convergence of iterative computations of localized defect modes of H-polarization in two-dimensional (2D) photonic crystals. The defect states are obtained by solving the eigenvalue problem for an associated compact operator with the ex...

We consider the equations governing multicomponent reactive ows derived from the kinetic theory of dilute polyatomic reactive gas mixtures. We rst discuss the structure of the chemical source term associated with Maxwellian distributions. We then investigate an abstract second order quasilinear system with a source term, around a constant equilibrium state. Assuming the existence a generalized ...

In this work a digital delay line (DDL) from Oz Optics was used. The DDL introduces a delay in optical paths between the fast and slow orthogonal polarizations by adjusting the relative travel distance of the two orthogonal modes. The insertion loss of the DDL is 1.5 dB. A Labview programme was used to write and read from the DDL. The DDL was adjusted from 0 to 60 ps and the observed first orde...

This paper discusses the scattering in the solar corona of the radiation emitted by the solar disk. We obtain expressions for the emissivity which permit to deduce the spectral characteristics of the scattered radiation. With these expressions, assuming a Maxwellian distribution for the velocities of the scattering ions and a simple spectral shape of the exciting radiation, we produce approxima...

We consider the spatially homogeneous Boltzmann equation for inelastic hardspheres (with constant restitution coefficient α ∈ (0, 1)) under the thermalization induced by a host medium with a fixed Maxwellian distribution. We prove uniqueness of the stationary solution (with given mass) in the weakly inelastic regime; i.e., for any inelasticity parameter α ∈ (α0, 1), with some constructive α0 ∈ ...

Abstract Recent inertial confinement fusion experiments have shown primary spectral moments which are incompatible with a Maxwellian velocity distribution description. These results show that an ion kinetic description of the reacting ions is necessary. We develop theoretical classification non-Maxwellian distributions using moments. At mesoscopic level, monoenergetic decomposition reveals ther...

In this paper, we consider the cutoff Boltzmann equation near Maxwellian, proved global existence and uniqueness for in polynomial weighted space all γ∈(−3,1]. We also initially decay large velocity L2 will induce rate, while exponential rate convergence. Our proof is based on newly established inequalities semigroup techniques. Moreover, by generalizing Lx∞Lv1∩Lx,v∞ approach, prove of a mild s...