A Zonal Plate Construction Method and Zonal Plate Based on Rudin-Shapiro Aperiodic Sequence

A construction method and technology of zone plate, applied in the field of zone plate, can solve problems such as large imaging chromatic aberration

Active Publication Date: 2019-01-01
CENT SOUTH UNIV
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Problems solved by technology

However, the chromatic aberration point corresponding to the focal point of the hybrid zone plate and the devil prism on the chromaticity diagram still has a certain distance from the ideal white po

Method used

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  • A Zonal Plate Construction Method and Zonal Plate Based on Rudin-Shapiro Aperiodic Sequence
  • A Zonal Plate Construction Method and Zonal Plate Based on Rudin-Shapiro Aperiodic Sequence
  • A Zonal Plate Construction Method and Zonal Plate Based on Rudin-Shapiro Aperiodic Sequence

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Embodiment Construction

[0031] The present invention will be further described in detail below in conjunction with the accompanying drawings and specific embodiments.

[0032]The present invention provides a kind of zone plate construction method based on Rudin-Shapiro aperiodic sequence, comprising the following steps:

[0033] Step 1: The Rudin-Shapiro aperiodic sequence, that is, the four initial seeds of the RS sequence, that is, the zeroth-order RS ​​sequence D 0 Represented by the letters A, B, C, and D; based on the initial seed, each subsequent RS sequence is generated according to the following rules: A→AB, B→AC, C→DB, D→DC, until the S-level is generated RS sequence D S ;

[0034] Step 2: to D S Further replace according to the following rules: {A,B}→A and {C,D}→B, that is, replace all the places where A and B appear with A, and replace all the places where C and D appear with B; get the updated D S ;

[0035] If the zeroth order RS ​​sequence D 0 is A, then the updated first-level RS...

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Abstract

The invention discloses a wave zone plate construction method based on a Rudin-Shapiro aperiodic sequence and a wave zone plate. The zero-level RS sequence D0 is denoted by the letters of A, B, C and D. Based on an initial seed, transforming is carried out to generate each subsequent RS sequence according to the rules of A to AB, B to AC, C to DB, D to DC, until the S-level RS sequence DS is generated. DS is further replaced according to the rules of {A, B} to A and {C, D} to B. All occurrences of A and B are replaced by A. All occurrences of C and D are replaced by B. Updated DS is acquired. Each letter of the updated S-level RS sequence DS is successively mapped to a wave zone plate ring from the inside out. The letter A in DS represents a transparent area, and B represents an opaque area, so as to construct a corresponding RS wave zone plate. The RS wave zone plate provided by the invention has the advantage of small imaging aberration.

Description

technical field [0001] The invention relates to a zone plate construction method based on Rudin-Shapiro aperiodic sequence and the zone plate. Background technique [0002] An optical zone plate consists of alternating transparent and opaque rings that produce a primary focus and many secondary foci. Optical zone plates have many new applications in recent decades [1-3], for example, terahertz imaging [4], X-ray microscopy [5], ophthalmology [6], optical data reading and writing technology [7] , optical sieve [8], optical tweezers [9,10] and so on. [0003] In recent years, different from Fresnel zone plates [11], many mathematical aperiodic sequences have been used to generate new zone plates with special focusing properties. The most typical ones are fractal zone plates [3], Fibonacci (Fi) zone plates [12], and Thue-Morse (TM) zone plates [13]. The focused light field distribution of a fractal zone plate is a fractal distribution. In addition to the main focal point, th...

Claims

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Application Information

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IPC IPC(8): G02B5/18G02B27/00
CPCG02B5/1876G02B27/0012
Inventor 陶少华夏天程书博
Owner CENT SOUTH UNIV
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