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Applied Optics

Applied Optics


  • Vol. 44, Iss. 5 — Feb. 10, 2005
  • pp: 751–764

Accurate first-order leaky-wave analysis of antiresonant reflecting optical waveguides

Meng-Huei Sheng and Hung-Wen Chang  »View Author Affiliations

Applied Optics, Vol. 44, Issue 5, pp. 751-764 (2005)

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We present a closed-form approximation for estimating both the field distribution and complex propagating constant of the antiresonant reflecting optical waveguide (ARROW) based on a first-order leaky-mode analysis. The formula was obtained from a novel coupled-electric–coupled-magnetic matrix method and provides six significant figures of the real part of the propagation constant β of a SiO2/TiO2/SiO2/Si ARROW with an 8-μm core. The accuracy for the quantity of the imaginary part of β is greater than 98.4% for the TE0 mode and 99.3% for TM0. The approximate values for field components are 96.1% accurate. In addition, a slight absorption by the substrate will result in modification of the initial improper leaky-mode behavior, which grows exponentially in the substrate, yielding a proper solution.

© 2005 Optical Society of America

Original Manuscript: February 11, 2004
Revised Manuscript: June 28, 2004
Manuscript Accepted: October 11, 2004
Published: February 10, 2005

Meng-Huei Sheng and Hung-Wen Chang, "Accurate first-order leaky-wave analysis of antiresonant reflecting optical waveguides," Appl. Opt. 44, 751-764 (2005)

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