Modified Thue–Morse zone plates with arbitrarily designed high-intensity twin main foci

Xia, Tian; Cheng, Shubo; Yan, Jianwei; Tao, Shaohua

doi:10.1088/1555-6611/aa961f

Cited by 16 publications

(7 citation statements)

References 25 publications

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“…The angular plane-wave spectrum theory is used to analyze the focusing properties of the MSZPs [5]. Since a phase-only ZP has much higher diffraction efficiency than the amplitudeonly counterpart, we will use the phase-only MSZP to study the intensity distributions of the MSZP beam [5,[43][44][45][46][47]. The transmittance of the phase-only MSZP, which comprises transparent zones with high and low transmission, can be expressed by a matrix T p =exp(i• q t r , 2 ( )•π) comprising exp (i•0) and exp(i•π), i.e.…”

Section: Focusing Properties Of Mszpsmentioning

confidence: 99%

An annular beam with segmented phase gradients generated by a modified spiral zone plate

Xia

Cheng

Tao

2019

J. Opt.

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A modified spiral zone plate (MSZP) is proposed to produce an annulus with a tailored radius and multiple segments of phase gradients at the focal plane. The MSZP can be fabricated simply and cost-effectively, and remove the inner redundant spiral zones. The tailorable radii of generated annuli are independent of topological charges and corresponding segmented phase gradients can be shown by the different kinds of petals with phase gradients. Moreover, the topological charges for the segmented phase gradients of annuli can be identified by the number of different kinds of fringes generated by the corresponding interference phases of MSZPs. The construction method and focusing property of the proposed zone plate are illustrated and studied in the simulations, respectively. It is also proved in the simulations and experiments that the annulus generated by the proposed zone plate has a tailored radius and multiple segments of phase gradients. The proposed zone plate can be applied to rotate the trapped particles at different speeds and have potential applications in optical communication.

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Section: Focusing Properties Of Mszpsmentioning

confidence: 99%

An annular beam with segmented phase gradients generated by a modified spiral zone plate

Xia

Cheng

Tao

2019

J. Opt.

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“…Many zone plates have special foci along the optic axis. For example, fractal zone plates with and without lacunarity [6,7], fractional fractal zone plates [8] and devil's lenses [9] generate the single main foci with many subsidiary foci along the optics axis; Fibonacci [10], modified Fibonacci [11], Greek ladder [12], Thue-Morse [13], modified Thue-Morse [14] and Walsh zone plates [15] and kinoform Fibonacci lenses [16] provide two equal-intensity foci; the modified composite zone plates have three equal-intensity foci, which are used to create multiple images and trap multiple particles at the different planes simultaneously [17]. In addition, star-like intensity patterns, which are generated by petal-like zone plates, have different arms and sizes [18].…”

Section: Introductionmentioning

confidence: 99%

Three tailorable optical vortices generated by a modified fractal spiral forked plate

Xia¹,

Cheng²,

Yu³

et al. 2021

J. Opt.

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A modified fractal spiral forked plate (MFSFP) is proposed to generate three tailorable coplanar optical vortices at multiple focal planes, which consist of two off-axis vortices and one axial vortex. The axial vortex and one low-intensity off-axis vortex can have equal intensity by designing an appropriate spiral-like filter. In addition, the MFSFP has self-similar axial and off-axis optical vortices. Moreover, the tailorable topological charges of two off-axis vortices are related to those of the fractal spiral zone plate (FSZP) and forked grating and the topological charge of the axial vortex is equal to that of the FSZP. In the experiments, based on the interferometric measurement method, the differences between fingers of forked fingers are used to prove the above topological charge transformation rule. The method of constructing the MFSFP is illustrated. The MFSFP is applicable to rotate particles at multiple positions of the different planes simultaneously, increase optical communication capacities and produce multiple images simultaneously.

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“…Thue-Morse zone plates generate two equalintensity main foci with many subsidiary foci, which are applied to reduce chromatic aberration under white-light illumination [5]. The modified and composite Thue-Morse zone plates are capable of increasing the intensities of two main foci generated by the corresponding Thue-Morse zone plates [22,23]. Moreover, Fibonacci-like zone plates also produce twin main foci with many subsidiary foci [24].…”

Section: Introductionmentioning

confidence: 99%

“…However, this kind of zone plate cannot be fabricated easily. Another interesting way to produce three or more equal-intensity foci is to implement the modified composite zone plates, which consist of the modified Thue-Morse [22] and Fresnel zone plates and generate three equal-intensity main foci along the optic axis [27]. Nevertheless, this zone plate is not able to produce four equal-intensity foci.…”

Section: Introductionmentioning

confidence: 99%

Four equal-intensity foci generated by a Cantor–Thue–Morse zone plate

2019

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A Cantor-Thue-Morse zone plate (CTMZP) is proposed to generate four foci with equal intensities along the optic axis. Moreover, the intensity non-uniformity of four foci is low for the CTMZP with the large number of duplicate cells. In addition, the CTMZPs with the different sizes and numbers of duplicate cells can generate four equal-intensity foci with high intensities and unchanged intensity non-uniformity. Furthermore, four foci for the CTMZP located at the required axial positions, and the energy efficiency in the focus increases with the focal length. We will illustrate the construction method of the CTMZP in the details. It will be proved in the simulations and experiments that the proposed zone plate can generate four equal-intensity foci. The proposed zone plate can be applied to trap particles with an equal trapping force at four planes, and generate the same clear images of four planes in a single output plane of an image forming system simultaneously.

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Modified Thue–Morse zone plates with arbitrarily designed high-intensity twin main foci

Cited by 16 publications

References 25 publications

An annular beam with segmented phase gradients generated by a modified spiral zone plate

An annular beam with segmented phase gradients generated by a modified spiral zone plate

Three tailorable optical vortices generated by a modified fractal spiral forked plate

Four equal-intensity foci generated by a Cantor–Thue–Morse zone plate

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