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Title: Resonant absorption in semiconductor nanowires and nanowire arrays: Relating leaky waveguide modes to Bloch photonic crystal modes

Abstract

We present a unified framework for resonant absorption in periodic arrays of high index semiconductor nanowires that combines a leaky waveguide theory perspective and that of photonic crystals supporting Bloch modes, as array density transitions from sparse to dense. Full dispersion relations are calculated for each mode at varying illumination angles using the eigenvalue equation for leaky waveguide modes of an infinite dielectric cylinder. The dispersion relations along with symmetry arguments explain the selectivity of mode excitation and spectral red-shifting of absorption for illumination parallel to the nanowire axis in comparison to perpendicular illumination. Analysis of photonic crystal band dispersion for varying array density illustrates that the modes responsible for resonant nanowire absorption emerge from the leaky waveguide modes.

Authors:
 [1];  [1]
  1. Joint Center for Artificial Photosynthesis, California Institute of Technology, 1200 E. California Blvd., Pasadena, California 91125 (United States)
Publication Date:
OSTI Identifier:
22305810
Resource Type:
Journal Article
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 116; Journal Issue: 15; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-8979
Country of Publication:
United States
Language:
English
Subject:
77 NANOSCIENCE AND NANOTECHNOLOGY; ABSORPTION; CRYSTALS; DENSITY; DIELECTRIC MATERIALS; DISPERSION RELATIONS; DISPERSIONS; EIGENVALUES; ILLUMINANCE; NANOWIRES; PERIODICITY; QUANTUM WIRES; RED SHIFT; SEMICONDUCTOR MATERIALS; SYMMETRY; WAVEGUIDES

Citation Formats

Fountaine, Katherine T., E-mail: kfountai@caltech.edu, Joint Center for Artificial Photosynthesis, California Institute of Technology, 1200 E. California Blvd., Pasadena, California 91125, Whitney, William S., Department of Physics, California Institute of Technology, 1200 E. California Blvd., Pasadena, California 91125, Atwater, Harry A., and Department of Applied Physics and Materials Science, California Institute of Technology, 1200 E. California Blvd., Pasadena, California 91125. Resonant absorption in semiconductor nanowires and nanowire arrays: Relating leaky waveguide modes to Bloch photonic crystal modes. United States: N. p., 2014. Web. doi:10.1063/1.4898758.
Fountaine, Katherine T., E-mail: kfountai@caltech.edu, Joint Center for Artificial Photosynthesis, California Institute of Technology, 1200 E. California Blvd., Pasadena, California 91125, Whitney, William S., Department of Physics, California Institute of Technology, 1200 E. California Blvd., Pasadena, California 91125, Atwater, Harry A., & Department of Applied Physics and Materials Science, California Institute of Technology, 1200 E. California Blvd., Pasadena, California 91125. Resonant absorption in semiconductor nanowires and nanowire arrays: Relating leaky waveguide modes to Bloch photonic crystal modes. United States. https://doi.org/10.1063/1.4898758
Fountaine, Katherine T., E-mail: kfountai@caltech.edu, Joint Center for Artificial Photosynthesis, California Institute of Technology, 1200 E. California Blvd., Pasadena, California 91125, Whitney, William S., Department of Physics, California Institute of Technology, 1200 E. California Blvd., Pasadena, California 91125, Atwater, Harry A., and Department of Applied Physics and Materials Science, California Institute of Technology, 1200 E. California Blvd., Pasadena, California 91125. 2014. "Resonant absorption in semiconductor nanowires and nanowire arrays: Relating leaky waveguide modes to Bloch photonic crystal modes". United States. https://doi.org/10.1063/1.4898758.
@article{osti_22305810,
title = {Resonant absorption in semiconductor nanowires and nanowire arrays: Relating leaky waveguide modes to Bloch photonic crystal modes},
author = {Fountaine, Katherine T., E-mail: kfountai@caltech.edu and Joint Center for Artificial Photosynthesis, California Institute of Technology, 1200 E. California Blvd., Pasadena, California 91125 and Whitney, William S. and Department of Physics, California Institute of Technology, 1200 E. California Blvd., Pasadena, California 91125 and Atwater, Harry A. and Department of Applied Physics and Materials Science, California Institute of Technology, 1200 E. California Blvd., Pasadena, California 91125},
abstractNote = {We present a unified framework for resonant absorption in periodic arrays of high index semiconductor nanowires that combines a leaky waveguide theory perspective and that of photonic crystals supporting Bloch modes, as array density transitions from sparse to dense. Full dispersion relations are calculated for each mode at varying illumination angles using the eigenvalue equation for leaky waveguide modes of an infinite dielectric cylinder. The dispersion relations along with symmetry arguments explain the selectivity of mode excitation and spectral red-shifting of absorption for illumination parallel to the nanowire axis in comparison to perpendicular illumination. Analysis of photonic crystal band dispersion for varying array density illustrates that the modes responsible for resonant nanowire absorption emerge from the leaky waveguide modes.},
doi = {10.1063/1.4898758},
url = {https://www.osti.gov/biblio/22305810}, journal = {Journal of Applied Physics},
issn = {0021-8979},
number = 15,
volume = 116,
place = {United States},
year = {Tue Oct 21 00:00:00 EDT 2014},
month = {Tue Oct 21 00:00:00 EDT 2014}
}