Tunneling and electromagnetic scattering in the open elliptic quantum billiard
García Gracia, José H.
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The study of open quantum billiards has gained popularity in the last decades, including dif? ferent common and uncommon geometries such as the circular and stadium billiards. We present an extensive analysis of the elliptic quantum billiard with hyperbolic channels. First we concentrate on quantum tunneling through an elliptic resonator-like structure, and we analyze three different variations of the system: the first configuration has horizontal channels, then we study the system with vertical leads, and finally we displace both channels by the same angle to gain a more general perspective. Next we study the vectorial scattering caused by the system for an incident TE polarized electric field. We analyze the same three physical configurations of the billiard, and the response of the Stokes polarization parameters to changes in the geometry of the system. We found that the quantum tunneling is very sensitive to changes in the parameters of the system, and we observed a standing-wave phenomenon inside the cavity of the billiard. Furthermore, we saw that the electromagnetic scattering of a vectorial field behaves smoothly when we change the geometry of the system, and no cir? culating polarization vortices were induced by the scattering for linearly polarized incident fields.