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Phase computer-generated hologram encoding error correction method based on least square fitting

A computational hologram and error correction technology, applied in the field of computational holography, to reduce difficulty, improve accuracy and improve efficiency

Inactive Publication Date: 2016-05-11
HARBIN UNIV OF SCI & TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, in the current research at home and abroad, there is no relevant content on the problem of computational hologram coding error correction

Method used

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  • Phase computer-generated hologram encoding error correction method based on least square fitting
  • Phase computer-generated hologram encoding error correction method based on least square fitting
  • Phase computer-generated hologram encoding error correction method based on least square fitting

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specific Embodiment approach

[0036] 1. Select a quadratic paraboloid with rotational symmetry, and the calculation formula is:

[0037] (1)

[0038] In the formula: ;x, y are the coordinates of any point on the quadratic paraboloid;

[0039] , is the radius of curvature of the vertex of the quadratic paraboloid;

[0040] , is the surface eccentricity, let Corresponds to a quadratic paraboloid;

[0041] The axis of rotational symmetry of the quadratic paraboloid is perpendicular to the x, y coordinate plane;

[0042] 2. Taking the quadratic paraboloid as the object surface F1 to be recorded, the object light wave function reflected by the object surface F1 is,

[0043] (2)

[0044] where A is the amplitude of the object light wave, is the phase of the object light wave, and k=2p / λ is the light wave vector. The diffused light emitted from the object surface is directly irradiated on the recording plane F2 without passing through optical elements, and the light amplitude on this plane ...

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Abstract

The invention provides a phase computer-generated hologram encoding error correction method based on least square fitting, and relates to the technical field of computer-generated hologram. Encoding error is corrected by adopting the least square fitting method, the rotational symmetry of a curved surface is ingeniously utilized, the position of each sampling unit is located by a radius value, a one-dimensional array penetrating through the symmetry center acts as error correction points and least square fitting nodes, and the standard encoding value of each sampling unit is solved according to a fitting equation. Difficulty of encoding error correction is reduced and efficiency of encoding error correction is also enhanced by the method. Encoding error correction comprises the steps that cutting, sampling, quantification and gray scale conversion are performed on an object plane phase with the rotational symmetry so that a phase computer-generated hologram is obtained; the one-dimensional array penetrating through the rotating center of the hologram is extracted to perform encoding error correction; the corrected one-dimensional encoding values act as the fitting nodes of the least square fitting equation and the fitting equation is established; and the radius value of each sampling unit is substituted in the fitting equation, and the standard coding value of each sampling unit is calculated and saved in a matrix so that the phase computer-generated hologram after encoding error correction is obtained. The method is suitable for encoding the curved surface with the rotational symmetry.

Description

technical field [0001] The present invention relates to the technical field of computational holography, in particular to a phase-type computational hologram coding error correction method. Background technique [0002] Phase computer-generated hologram (PhaseComputer-generatedHologram, PCGH) can be used as a "standard model" to reproduce the ideal reference wavefront in the detection of aspheric surface by computational holography. Comparing with the amplitude-type computational hologram to reproduce the "standard model" in optical measurement, the phase-type computational hologram not only helps to simplify the measurement optical path, but also improves the diffraction efficiency of incident light, and can improve the phase resolution. However, phase-type computational holograms, especially computational holograms with multi-level phase steps, need to be sampled, quantized, and phase-wrapped with a modulus of 2π on the phase value of the continuous wavefront by a computer...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G03H1/08G03H1/14G01B11/24
CPCG03H1/0866G03H1/14G01B11/2441
Inventor 张洪鑫李靓瑶王明珠乔玉晶司俊山
Owner HARBIN UNIV OF SCI & TECH
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