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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 point (the polychromatic aggregation point on the chromaticity diagram, which is the lowest point of chromatic aberration), that is, the two methods There is still a large imaging chromatic aberration

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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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