Abstract

A Fabry-Pérot (FP) cavity derived from a transformational medium is reported. The proposed coordinate transformation provides spatial gradient dielectric profiles to confine the electromagnetic (EM) waves in the form of FP modes. The quality factor, free spectral range, and finesse of the proposed transformation optics (TO)-based cavity are calculated and compared with a conventional dielectric resonator. It is observed that a pencil-like directional EM beam is emitted for a line source placed inside the TO cavity and the beam’s profile shape is strongly dependent on the width of the line source. By cascading several TO cavities, a directional EM power divider is demonstrated numerically. The frequency-dependent EM beam steering by the proposed cascaded TO cavities with 0⸰ and 90⸰ beam directionalities is useful for selective power coupling requirements in RF and optical domains. The 2- dimensional results were cross-checked with the 3-D design using unit cell approximation method and the fabrication issues associated with the proposed TO slab are further addressed.

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