Adiabatic focusing of light in subwavelength high-index contrast dielectrics
by Satoshi Takahashi, Paul Stellman, George Barbastathis, William J. Arora
International Journal of Nanomanufacturing (IJNM), Vol. 6, No. 1/2/3/4, 2010

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.

Online publication date: Sun, 22-Aug-2010

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