Applicability of improved Rayleigh-Sommerfeld method 1 in analyzing the focusing characteristics of cylindrical microlenses

Juan Liu; Ben Yuan Gu; Jia Sheng Ye; Bi Zhen Dong

doi:10.1016/j.optcom.2005.11.063

Applicability of improved Rayleigh-Sommerfeld method 1 in analyzing the focusing characteristics of cylindrical microlenses

Juan Liu^*, Ben Yuan Gu, Jia Sheng Ye, Bi Zhen Dong

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科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

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The applicability of an improved Rayleigh-Sommerfeld method 1 (IRSM1) is investigated by analyzing the focal characteristics of various cylindrical microlenses in both cases of the TE and TM polarizations. The IRSM1 and original Rayleigh-Sommerfeld method 1 (ORSM1) are compared with rigorous boundary element method (BEM) by calculating the average square-root deviation (ASRD) of the intensity distribution on the focal plane for the continuously refractive microlens and diffractive microlenses with continuously varying or 8-level quantized profiles. The results indicate that the applicability of the IRSM1 has limitation in some parametric ranges, for instance, the number of sampling points, f-number, relatively refractive index, and wavelength of the incident light are restricted to some appropriate values.

源语言	英语
页（从-至）	187-198
页数	12
期刊	Optics Communications
卷	261
期	1
DOI	https://doi.org/10.1016/j.optcom.2005.11.063
出版状态	已出版 - 1 5月 2006
已对外发布	是

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Liu, J., Gu, B. Y., Ye, J. S., & Dong, B. Z. (2006). Applicability of improved Rayleigh-Sommerfeld method 1 in analyzing the focusing characteristics of cylindrical microlenses. Optics Communications, 261(1), 187-198. https://doi.org/10.1016/j.optcom.2005.11.063

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title = "Applicability of improved Rayleigh-Sommerfeld method 1 in analyzing the focusing characteristics of cylindrical microlenses",

abstract = "The applicability of an improved Rayleigh-Sommerfeld method 1 (IRSM1) is investigated by analyzing the focal characteristics of various cylindrical microlenses in both cases of the TE and TM polarizations. The IRSM1 and original Rayleigh-Sommerfeld method 1 (ORSM1) are compared with rigorous boundary element method (BEM) by calculating the average square-root deviation (ASRD) of the intensity distribution on the focal plane for the continuously refractive microlens and diffractive microlenses with continuously varying or 8-level quantized profiles. The results indicate that the applicability of the IRSM1 has limitation in some parametric ranges, for instance, the number of sampling points, f-number, relatively refractive index, and wavelength of the incident light are restricted to some appropriate values.",

author = "Juan Liu and Gu, {Ben Yuan} and Ye, {Jia Sheng} and Dong, {Bi Zhen}",

year = "2006",

month = may,

day = "1",

doi = "10.1016/j.optcom.2005.11.063",

language = "English",

volume = "261",

pages = "187--198",

journal = "Optics Communications",

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T1 - Applicability of improved Rayleigh-Sommerfeld method 1 in analyzing the focusing characteristics of cylindrical microlenses

AU - Liu, Juan

AU - Gu, Ben Yuan

AU - Ye, Jia Sheng

AU - Dong, Bi Zhen

PY - 2006/5/1

Y1 - 2006/5/1

N2 - The applicability of an improved Rayleigh-Sommerfeld method 1 (IRSM1) is investigated by analyzing the focal characteristics of various cylindrical microlenses in both cases of the TE and TM polarizations. The IRSM1 and original Rayleigh-Sommerfeld method 1 (ORSM1) are compared with rigorous boundary element method (BEM) by calculating the average square-root deviation (ASRD) of the intensity distribution on the focal plane for the continuously refractive microlens and diffractive microlenses with continuously varying or 8-level quantized profiles. The results indicate that the applicability of the IRSM1 has limitation in some parametric ranges, for instance, the number of sampling points, f-number, relatively refractive index, and wavelength of the incident light are restricted to some appropriate values.

AB - The applicability of an improved Rayleigh-Sommerfeld method 1 (IRSM1) is investigated by analyzing the focal characteristics of various cylindrical microlenses in both cases of the TE and TM polarizations. The IRSM1 and original Rayleigh-Sommerfeld method 1 (ORSM1) are compared with rigorous boundary element method (BEM) by calculating the average square-root deviation (ASRD) of the intensity distribution on the focal plane for the continuously refractive microlens and diffractive microlenses with continuously varying or 8-level quantized profiles. The results indicate that the applicability of the IRSM1 has limitation in some parametric ranges, for instance, the number of sampling points, f-number, relatively refractive index, and wavelength of the incident light are restricted to some appropriate values.

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DO - 10.1016/j.optcom.2005.11.063

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SN - 0030-4018

VL - 261

SP - 187

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JO - Optics Communications

JF - Optics Communications

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Applicability of improved Rayleigh-Sommerfeld method 1 in analyzing the focusing characteristics of cylindrical microlenses

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