Helicity and duality symmetry in light matter interactions: Theory and applications
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In my thesis, I first develop the theoretical basis and tools for the use of helicity and duality in the study, understanding and engineering of interactions between electromagnetic radiation and material systems. Then, within the general framework of symmetries and conservation laws, I apply the theoretical results to several different problems: Optical activity, zero backscattering, metamaterials for transformation optics and nanophotonics phenomena involving the electromagnetic angular momentum. The tool has provided new insights and design guidelines in all these cases.
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Countable basis for free electromagnetic fields
A countable basis of polychromatic single-photon waves for free Maxwell fields is constructed as simultaneous eigenstates of four commuting operators with integer eigenvalues, making the space isomorphic to ℓ².
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