Focusing performance of the closed-boundary cylindrical microlenses analyzed by the boundary element method

Lin, Jie; Ye, Jiasheng; Liu, Shutian

doi:10.1016/j.optcom.2006.04.051

Cited by 7 publications

(2 citation statements)

References 20 publications

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“…The results become inaccurate when F/# is smaller than 1 [19]. Based on the boundary element method (BEM) or the improved first Rayleigh-Sommerfeld method (IRSM), metallic cylindrical micro mirrors or cylindrical Fresnel lenses have been deeply studied [19][20][21][22][23][24][25][26]. However, to our knowledge, rigorous studies of harmonic Fresnel lenses (HFLs) has not been performed for the moment.…”

Section: Introductionmentioning

confidence: 99%

Chromatic analysis of harmonic Fresnel lenses by FDTD and angular spectrum methods

Yang¹,

Twardowski²,

Gérard³

et al. 2018

Appl. Opt.

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In this paper, we present a detailed and rigorous study of cylindrical harmonic Fresnel lenses (HFLs) using the finite difference time domain method (FDTD) and angular spectrum method (ASM). The HFL is a kind of diffractive lens that can have maximum diffraction efficiency at several discrete harmonic wavelengths, which is suitable for some broadband applications. Previous studies on HFLs were investigated mainly in the domain of paraxial approximation. By using our proposed calculation method, we have determined the efficiency, focal length, maximum focus intensity, and full width at half maximum (FWHM) of the focal spot for several harmonic numbers and for F-numbers of 0.5, 1, and 3. To compare with the paraxial approximation, we have presented the response to both s-polarized and p-polarized light with constant refractive index and real dispersive material, BK7. Moreover, we have also analyzed the cases with oblique illumination. We have shown that the harmonic wavelengths do not change with F/# and that the diffraction efficiency and FWHM of the focus increase as F/# increases. New results on harmonic wavelengths shift and oblique angle of incidence response have been detailed.

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Section: Introductionmentioning

confidence: 99%

Chromatic analysis of harmonic Fresnel lenses by FDTD and angular spectrum methods

Yang¹,

Twardowski²,

Gérard³

et al. 2018

Appl. Opt.

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show abstract

“…The diffractive microlens, as one of the most important components in micro optical systems, is widely used in beam focusing 1 – 4 and object imaging 5 – 7 . Therefore, scientists make great efforts on its design 8 – 13 , performance analysis 14 – 18 , fabrication 19 – 22 and practical applications 23 – 25 . In past literatures, the cylindrical diffractive microlens (CDM) is generally designed from a refractive microlens by removing the vertically abundant 2 π phases 14 , 26 .…”

Section: Introductionmentioning

confidence: 99%

New design model for high efficiency cylindrical diffractive microlenses

Zhao

Feng

et al. 2017

Sci Rep

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A new model, i.e., the decreasing thickness model (DTM) is proposed and employed for designing the cylindrical diffractive microlenses (CDMs). Focal performances of the designed CDMs are theoretically investigated by solving Maxwell’s equations with the boundary element method. For comparison, the CDMs designed by the traditional equal thickness model (ETM) are also studied. Theoretical simulations demonstrate that focal performances of the designed CDMs are improved a lot via replacing the traditional ETM with the proposed DTM. Concretely, the focal efficiency is heightened and the focal spot size is shrunk. Experimental measurements verify the theoretical simulations well. Especially, the above-mentioned improvements become more prominent for the CDM with a higher numerical aperture.

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The finite-thickness model applied to designs of closed-boundary cylindrical microlenses with small f-numbers

Lin¹,

Ye²,

Liu³

2007

Optics Communications

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Focusing performance of the closed-boundary cylindrical microlenses analyzed by the boundary element method

Cited by 7 publications

References 20 publications

Chromatic analysis of harmonic Fresnel lenses by FDTD and angular spectrum methods

Chromatic analysis of harmonic Fresnel lenses by FDTD and angular spectrum methods

New design model for high efficiency cylindrical diffractive microlenses

The finite-thickness model applied to designs of closed-boundary cylindrical microlenses with small f-numbers

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