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http://dx.doi.org/10.7236/JIIBC.2020.20.5.151

Rigorous Analysis for Optical Impacts of Tapered Sidewall Profile on Trapezoidal Diffraction Grating  

Ho, Kwang-Chun (Electronics Track, Hansung University)
Publication Information
The Journal of the Institute of Internet, Broadcasting and Communication / v.20, no.5, 2020 , pp. 151-156 More about this Journal
Abstract
To analyze the diffraction properties of optical signals and the significant impacts of tapered sidewall profile at periodic trapezoidal 2D diffraction gratings, Toeplitz dielectric tensor is first defined and formulated by 2D spatial Fourier expansions associated with trapezoidal profile. The characteristic modes in each layer is then based on eigenvalue problem, and the complete solution is found rigorously in terms of modal transmission-line theory (MTLT) to address the pertinent boundary-value problems. Based on those one, the numerical analysis is performed on how the tapered side profile of grating structures with trapezoidal refractive index distribution affects the design of a sub-wavelength grating reflector. The numerical results reveal that this tapered sidewall profile plays a critical role in determining the reflection bandwidth, the average reflectance, and the band edge.
Keywords
Trapezoidal Diffraction Gratings; Spatial Fourier Expansion; Tapered Sidewall Profile;
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Times Cited By KSCI : 2  (Citation Analysis)
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