Systematic Design of Antireflection Coating for Semi-infinite One-dimensional Photonic Crystals Using Bloch Wave Expansion
Jun Ushida, Masatoshi Tokushima, Masayuki Shirane, Hirohito Yamada
TL;DR
This paper introduces a systematic method for designing perfect antireflection coatings for semi-infinite 1D photonic crystals using Bloch wave expansion and symmetry principles, providing explicit formulas for optimal parameters.
Contribution
The paper develops an analytical approach for ARC design in 1D photonic crystals, leveraging Bloch wave expansion and time reversal symmetry to derive explicit formulas.
Findings
Analytic formulas for ARC parameters derived
Surface immittance matching is crucial for design
Practical example demonstrating the method
Abstract
We present a systematic method for designing a perfect antireflection coating (ARC) for a semi-infinite one-dimensional (1D) photonic crystal (PC) with an arbitrary unit cell. We use Bloch wave expansion and time reversal symmetry, which leads exactly to analytic formulas of structural parameters for the ARC and renormalized Fresnel coefficients of the PC. Surface immittance (admittance and impedance) matching plays an essential role in designing the ARC of 1D PC's, which is shown together with a practical example.
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