Construction method based on three-element Thue-Morse aperiodic sequence zone plate and zone plate

A construction method and three-element technology, applied in optical components, optics, instruments, etc., can solve the problems of low axial focus strength and resolution, limited applications, etc.

Inactive Publication Date: 2020-05-22
YANGTZE UNIVERSITY
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, the relatively low axial focusing strength and resolution

Method used

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  • Construction method based on three-element Thue-Morse aperiodic sequence zone plate and zone plate
  • Construction method based on three-element Thue-Morse aperiodic sequence zone plate and zone plate
  • Construction method based on three-element Thue-Morse aperiodic sequence zone plate and zone plate

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Embodiment 1

[0038] Embodiments of the present invention provide a construction method based on a three-element Thue-Morse aperiodic sequence zone plate, the schematic flow chart of the construction method, as shown in figure 1 shown, including the following steps:

[0039] with G 0 =A is used as the initial sequence element, and A→AB is used as the replacement method of the sequence element to obtain the first-level three-element Thue-Morse sequence G 1 = AB, in G 1 On the basis of A→AB, B→BC as the replacement of sequence elements, the second-level three-element Thue-Morse sequence G is obtained 2 =ABBC, in G 2 On the basis of A→AB, B→BC, C→CA as the replacement of sequence elements, the third-level three-element Thue-Morse sequence G is obtained 3 = ABBBCBCCA, in G n-1 On the basis of A→AB, B→BC, C→CA as the replacement of sequence elements, the nth level three-element Thue-Morse sequence G is obtained n , the n≥4;

[0040] The sequence elements of the i-th three-element Thue-Mor...

Embodiment 2

[0071] An embodiment of the present invention provides a zone plate based on a three-element Thue-Morse aperiodic sequence, which utilizes the construction method of a zone plate based on a three-element Thue-Morse aperiodic sequence described in any one of Embodiment 1 Constructed.

[0072] Further, the phase of the transparent annular zone of the zone plate is π, and the phase of the opaque annular zone is 0.

[0073] In a specific embodiment, based on the zone plate of the fifth-level three-element ((A=1, B=0, C=1)) Thue-Morse binary aperiodic sequence, the corresponding zone plate structure is as follows figure 2 As shown in (a), in order to highlight the particularity of the structure of this type of zone plate, the Thue-Morse zone plate and Fresnel zone plate of the same order are displayed at the same time, such as figure 2 As shown in (b) and (c), comparing the three zone plate structures, we can see that the zone plate constructed based on the three-element Thue-Mo...

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Abstract

The invention discloses a construction method based on a three-element Thue-Morse aperiodic sequence zone plate and the zone plate, belongs to the technical field of photoelectricity, and solves the problems of poor polychromism and large image chromatic aberration in the prior art. The construction method based on the three-element Thue-Morse aperiodic sequence zone plate comprises the followingsteps: g0 = A is used as an initial sequence element, a-AB is used as a replacement mode, G1 is obtained, A-AB and B-BC serve as replacement modes on the basis of G1, G2 is obtained, A-AB, B-BC and C-CA serve as replacement modes on the basis of G2, G3 is obtained, A-AB, B-BC and C-CA serve as replacement modes on the basis of Gn-1, Gn is obtained, and n is larger than or equal to 4; elements of the ith-level three-element Thue-Morse sequence are sequentially projected to a circular surface with a certain radius from inside to outside, and a corresponding zone plate is constructed. A series offocuses generated by the constructed zone plate have good polychromatism, and chromatic aberration of images can be better reduced through imaging.

Description

technical field [0001] The invention relates to the field of optoelectronic technology, in particular to a construction method and a zone plate based on a three-element Thue-Morse aperiodic sequence zone plate. Background technique [0002] Traditional zone plates, known as Fresnel zone plates (FZPs), consist of a series of alternating concentric rings with opaque or transparent regions. Such zone plates are widely used in broadband EUV, X-ray imaging, astronomy, terahertz optics, and optical trapping. However, Fresnel zone plates (FZPs) have the limitation of high chromatic aberration. Today, fractal optics is well established and fractal optical fields are analyzed. Based on this motivation, Furlan et al. recently proposed a new photonic structure, namely fractal zone plates (FrZPs), and Davis et al. implemented experiments on liquid crystal displays. Although fractal zone plates (FrZPs) generated with fractal Cantor sets have multiple focal points along the optical axi...

Claims

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Application Information

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IPC IPC(8): G02B5/18G02B27/00
CPCG02B5/1876G02B27/0012
Inventor 刘孟思程书博韩文耀栾虎成
Owner YANGTZE UNIVERSITY
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