Nonlocal transformation optics

Abstract

We show that the powerful framework of transformation optics may be exploited for engineering the nonlocal response of artificial electromagnetic materials. Relying on the form-invariant properties of coordinate-transformed Maxwell's equations in the spectral domain, we derive the general constitutive "blueprints" of transformation media yielding prescribed nonlocal field-manipulation effects, and provide a physically-incisive and powerful geometrical interpretation in terms of deformation of the equi-frequency contours. In order to illustrate the potentials of our approach, we present an example of application to a wave-splitting refraction scenario, which may be implemented via a simple class of artificial materials. Our results provide a systematic and versatile framework which may open intriguing venues in dispersion engineering of artificial materials.

6 pages, 3 figures; supplementary material available online

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• Non-local effects in effective medium response of nano-layered meta-materials
• Engineered Optical Nonlocality in Nanostructured Metamaterials
• Restoring the Physical Meaning of Metamaterial Constitutive Parameters
• Generalized field-transforming metamaterials
• Generalized transformation optics from triple spacetime metamaterials

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