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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2013-05-19
Periodic Transmission of Circular Binary Fresnel Zone Plates with Etching Depth and Substrate
By
Yaoju Zhang,

    Prof. Yaoju Zhang

    Department of Physics and Electronic Information

    Wenzhou University

    China

    Homepage

Shilei Li,

    Dr. Shilei Li

    College of Physics and Electronic Information Engineering

    Wenzhou University

    China

    Homepage

Yan Zhu,

    Dr. Yan Zhu

    College of Physics and Electronic Information Engineering

    Wenzhou University

    China

    Homepage

Youyi Zhuang,

    Dr. Youyi Zhuang

    College of Physics and Electronic Information Engineering

    Wenzhou University

    China

    Homepage

Taikei Suyama,

    Professor Taikei Suyama

    Department of Electrical and Computer Engineering

    Kumamoto University

    Japan

    Homepage

Chongwei Zheng,

    Dr. Chongwei Zheng

    College of Physics and Electronic Information Engineering

    Wenzhou University

    China

    Homepage

Yoichi Okuno

    Dr. Yoichi Okuno

    Department of Electrical and Computer Engineering

    Kumamoto University

    Japan

    Homepage

Progress In Electromagnetics Research Letters, Vol. 40, 93-105, 2013
doi:10.2528/PIERL13031802 | Google Scholar

Abstract
Based on the scattering theory and the Green function method, a dynamical theory is given for calculating the diffraction of deeply-etched gratings with a stratified structure substrate. The key of our method is that the patterned grating structure is considered as a perturbation to the unpatterned stratified structure rather than to vacuum. Using the first-order Born approximation and in the Fresnel diffraction region, we obtain a simple analytical expression, which can be used to calculating the scattering intensity of deeply-etched circular binary Fresnel zone plates with a stratified substrate (MDECBFZPs). The numerical results show that the focusing intensity at the foci of the MDCBFZP changes periodically with the etching depth and the thickness of the substrate film. Our results are in good agreement with FDTD simulations.
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Citation
Yaoju Zhang, Shilei Li, Yan Zhu, Youyi Zhuang, Taikei Suyama, Chongwei Zheng, and Yoichi Okuno, "Periodic Transmission of Circular Binary Fresnel Zone Plates with Etching Depth and Substrate," Progress In Electromagnetics Research Letters, Vol. 40, 93-105, 2013.
doi:10.2528/PIERL13031802
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