Trapped modes in thin and infinite ladder like domains. Part 1 : existence results

We are interested in the time-harmonic Maxwell equations in and near a composite material with boundary conditions modeling electromagnetic field radiated by an electromag- netic

Roughly speaking, if on some balls of R n the Brouwer topological degree of the Poincar´ e translation operator (see e.g. [17]) associated to the ODE is different from zero, then

We also show that these geometries, for possibly different values of L, support so called trapped modes (non zero solutions of finite energy of the homogeneous problem) associated

transmission eigenvalues, asymptotic expansions, thin layers, inverse scattering problems 8.. AMS

Abstract: We prove the existence of transmission eigenvalues corresponding to the inverse scattering problem for isotropic and anisotropic media for both scalar Helmholtz equation

Although the temperature of the fridge is imposed, a strong current induces Joule heating and increases the temperature locally in the wire.. Hence, the interest of the AA correction

We use a standard approach of analysis that consists in (1) find a formal limit of the eigenvalue problem when the small parameter tends to 0, here the formal limit is an

Lemma 1.. We need to distinguish two asymptotic expansions of u ε. The second one is the near field expansion and is used to approximate u ε in the neighborhood of each junction.