Title: Adiabatic focusing of light in subwavelength high-index contrast dielectrics

Authors: Satoshi Takahashi, Paul Stellman, George Barbastathis, William J. Arora

Addresses: Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA. ' Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA. ' Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA. ' Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA

Abstract: Nano-photonic structures with slowly varying periodicity offer rich possibilities for simultaneous space-variant wavefront and dispersion control. Here, we investigate the use of Hamiltonian optics as a tool to design and analyse such structures in the capacity of well corrected imaging lenses. Hamiltonian optics uses the dispersion relation as conservable to solve a set of dynamic equations for ray trajectories. It is computationally efficient and thus appropriate for optimisation, and provides good agreement compared with the more rigorous finite difference in time domain (FDTD) method.

Keywords: nanotechnology; adiabatic focusing; subwavelength; imaging lenses; nanophotonics; Hamiltonian optics; ray trajectories; dielectrics; light.

DOI: 10.1504/IJNM.2010.034787

International Journal of Nanomanufacturing, 2010 Vol.6 No.1/2/3/4, pp.245 - 252

Published online: 22 Aug 2010 *

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