Possible research projects with me:

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1) Asymptotic solutions of the plasmonic eigenvalue problem and applications

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take from grant

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2) Optical resonances of high-index nanostructures, with applications to all-dielectric nanophotonics and metamaterials

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3) A geometric theory of diffraction for wave propagation in phononic and photonic crystals

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4) Thermoviscous effects in acoustic metamaterials (with Richard)

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4) Skin effects in photonic metamaterials

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5) Nonlinear surface advection in electrohydrodynamics (with Demetrios Papagergiou)

 

this includes the basic shok problem (with Yariv and Frankel); then instabilities to Quincke rotation; similar application in surfactant transport and relations to spontaneous motion of drops and active particles.  

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6) Superhydrophobic surfaces (with Ehud Yariv)

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Say the lattice problem, singular cut-off of gas, 

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7) Nonlinear electrophoresis of bubbles: An experimental puzzle with ramifications on fundamental interfacial science

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