Abstract
An alternative, fleld-based formulation of transformation optics is proposed. Field transformations are expressed in the language of boundary conditions for the electromagnetic flelds facilitated through the introduction of generalized potential functions. It is shown that the fleld-based approach is equivalent to the conventional coordinate-transformation approach but is preferable when looking for speciflc fleld distribution. A set of example devices such as invisibility cloaks, concentrators, rotators, and transformation optics lenses capable of creating light beams with predetermined fleld distribution (e.g., Gaussian and sinusoidal) is studied to validate the efiectiveness of the fleld-based formulation. As for the boundary conditions for the cloaked region the absence of the normal component of the Poynting vector is justifled. In the frames of the fleld- based approach the physical reasons behind inflnite components (singularities) of the material parameters of transformation optics devices are straightforwardly revealed.
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