Higher-order incidence transfer matrix method used in three-dimensional photonic crystal coupled-resonator array simulation

Department of Physics and Astronomy , Iowa State University, Ames, Iowa, United States
Optics Letters (Impact Factor: 3.18). 01/2007; 31(23):3498-500. DOI: 10.1364/OL.31.003498
Source: PubMed

ABSTRACT The plane-wave-based transfer matrix method with rational function interpolation and higher-order plane-wave incidence is proposed as an efficient calculation approach to simulate three-dimensional photonic crystal devices. As an example, the dispersion relations and quality factors are calculated for resonant cavity arrays embedded in a woodpile photonic crystal. An interesting ultraslow negative group velocity is observed in this structure.

Download full-text


Available from: Zhuo Ye, Jan 16, 2014
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: Nanostructure arrays such as nanowire, nanopillar, and nanocone arrays have been proposed to be promising antireflection structures for photovoltaic applications due to their great light trapping ability. In this paper, the optical properties of Si nanopillar and nanocone arrays in visible and infrared region were studied by both theoretical calculations and experiments. The results show that the Mie resonance can be continuously tuned across a wide range of wavelength by varying the diameter of the nanopillars. However, Si nanopillar array with uniform diameter exhibits only discrete resonance mode, thus can't achieve a high broadband absorption. On the other hand, the Mie resonance wavelength in a Si nanocone array can vary continuously as the diameters of the cross sections increase from the apex to the base. Therefore Si nanocone arrays can strongly interact with the incident light in the broadband spectrum and the absorbance by Si nanocone arrays is higher than 95% over the wavelength from 300 to 2000 nm. In addition to the Mie resonance, the broadband optical absorption of Si nanocone arrays is also affected by Wood-Rayleigh anomaly effect and metal impurities introduced in the fabrication process.
    Scientific Reports 01/2015; 5:7810. DOI:10.1038/srep07810 · 5.08 Impact Factor
  • [Show abstract] [Hide abstract]
    ABSTRACT: We use electromagnetic simulations to carry out a systematic study of broadband absorption in vertically-aligned semiconductor nanowire arrays for photovoltaic applications. We study six semiconductor materials that are commonly used for solar cells. We optimize the structural parameters of each nanowire array to maximize the ultimate efficiency. We plot the maximal ultimate efficiency as a function of height to determine how it approaches the perfect-absorption limit. We further show that the ultimate efficiencies of optimized nanowire arrays exceed those of equal-height thin films for all six materials and over a wide range of heights from 100 nm to 100 µm.
    Journal of optics 02/2012; 14(2). DOI:10.1088/2040-8978/14/2/024004 · 2.01 Impact Factor
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: The performance of the perfectly matched layer absorption boundary condition is fully exploited when it is applied to the planewave based transfer-scattering matrix method in photonic crystal device simulation. The mode profile of one dimensional dielectric waveguide and the optical properties of sub-wavelength aluminum grating with semi-infinite substrate are studied to illustrate the accuracy and power of this approach.
    Optics Express 07/2008; 16(15):11548-54. DOI:10.1364/OE.16.011548 · 3.53 Impact Factor