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Considering our interests, research topics are diverse within the members of this small group. Noting the ‘re’ in research, we like to retest, simplify and generalize known science to unsolved problems.

 

Emitter-Matter interaction and its Physics:

Understanding effects of size of a structure on its intrinsic optical properties, coupling between emitters and nanoscale structures, quasi-particles in nanostructures due to incident light and the coupling between them, are all areas of interest. These theoretical and numerical studies in turn help us understand the limits of the current models of emission or absorption, and find ways to enhance that efficiency in materials. Recent results include a theory for strong matter-coupling regime of emission, and a computational method for quantum N-body problems of emission in nanoscale materials.

 

Methods for Numerical Computation & Estimation:

Advances in numerical methods have contributed to computing power as much as the developments in hardware resources over the last few decades. Our interests are analysis, computational methods and algorithms. Recent results include analysis of polynomial recurrence relations and fast computing methods for eigenvalue problems, methods of estimation that substitute Markov-Chain-Monte-Carlo (MCMC) sampling, and error estimators for linear solvers. Our work is demonstrated as readily usable algorithms, either with bounds on convergence or a statistical performance analysis over numerous problems.

 

Applied Optics & Computation:

In the past, we have worked on developing composite nanoparticles and nanostructures that have counterintuitive but useful properties. We have studied absorption, chiral and directional scattering properties of nanostructures with applications in mind.  These works involved active experimentation in collaboration with experimental groups inside campus and with our industrial partners.

 

 

There is something fascinating about science. One gets such wholesale returns of conjecture out of such a trifling investment of fact.

        - Mark Twain