High scale boundary conditions with an additional complex singlet

Generalized additional boundary conditions for wire media

We generalize additional boundary conditions (ABCs) for wire media by including arbitrary wire junctions with impedance loading. Special attention is given to the conditions at the interface of two uniaxial wire media with metallic patches at the junction. The derived ABCs are validated against full-wave numerical simulations.

Low scale leptogenesis with an SU(2)L singlet scalar

We consider thermal leptogenesis as the origin of the matter-antimatter asymmetry of the Universe. Some phenomenologically unpleasant features of the usual leptogenesis scenario are reviewed. We propose a minimal alternative, which makes use of a charged scalar δ, singlet under SU(2)L. Such particle is contained in natural extensions of the Standard Model. The lepton asymmetry is generated by t...

Multilayered Wire Media: Generalized Additional Boundary Conditions and Applications

Siegel’s Lemma with Additional Conditions

The name Siegel’s Lemma is usually used to denote results about non-trivial small-height solutions of a system of homogeneous linear equations, or (which is the same) about non-zero points of small height in a given vector space. Such a result in a simple form was first proved by Thue in 1909 using the Dirichlet’s box principle. Siegel in 1929 was the first to formally state this principle in t...

Simulation of static sinusoidal wave in deep water environment with complex boundary conditions using proposed SPH method

The study of wave and its propagation on the water surface is among significant phenomena in designing quay, marine and water structures. Therefore, in order to design structures which are exposed to direct wave forces, it is necessary to study and simulate water surface height and the wave forces on the structures body in different boundary conditions. In this study, the propagation of static ...