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Updated: Aug 19, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
Published on: November 30, 2012
Accurate first-order leaky-wave analysis of antiresonant reflecting optical waveguides
Meng-Huei Sheng1, Hung-Wen Chang
1Institute of Electro-optical Engineering, National Sun Yat-sen University, Kaohsiung, Taiwan 80424. d8735803@student.nsysu.edu.tw
Abstract:
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 beta of a SiO2/TiO2/SiO2/Si ARROW with an 8-microm core. The accuracy for the quantity of the imaginary part of beta 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.
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