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Full-Text Articles in Physical Sciences and Mathematics
Resonant Dipole-Dipole Interaction In Confined And Strong-Coupling Dielectric Geometries., Ramy El-Ganainy, Sajeev John
Resonant Dipole-Dipole Interaction In Confined And Strong-Coupling Dielectric Geometries., Ramy El-Ganainy, Sajeev John
Ramy El-Ganainy
Using the electromagnetic response function of an electric dipole located within a dielectric geometry, we derive the mathematical equivalence between the classical response and quantum mechanical resonant dipole–dipole interaction between two quantum objects (atoms, quantum dots, etc). Cooperative spontaneous emission likewise emerges from this equivalence. We introduce a practical numerical technique using finite difference time domain for calculating both dipole–dipole interaction and collective spontaneous emission in confined dielectric structures, where strong light–matter coupling might arise. This method is capable of obtaining resonant dipole–dipole interaction over a wide range of frequencies in a single run. Our method recaptures the results of …
Supersymmetric Optical Structures, Mohammad-Ali Miri, Matthias Heinrich, Ramy El-Ganainy, Demetrios N. Christodoulides
Supersymmetric Optical Structures, Mohammad-Ali Miri, Matthias Heinrich, Ramy El-Ganainy, Demetrios N. Christodoulides
Ramy El-Ganainy
We show that supersymmetry can provide a versatile platform in synthesizing a new class of optical structures with desired properties and functionalities. By exploiting the intimate relationship between superpartners, one can systematically construct index potentials capable of exhibiting the same scattering and guided wave characteristics. In particular, in the Helmholtz regime, we demonstrate that one-dimensional supersymmetric pairs display identical reflectivities and transmittivities for any angle of incidence. Optical supersymmetry is then extended to two-dimensional systems where a link between specific azimuthal mode subsets is established. Finally, we explore supersymmetric photonic lattices where discreteness can be utilized to design lossless integrated …