Diffractive optical element for Zernike decomposition

Yonggang Ha; Dazun Zhao; Yongtian Wang; V. V. Kotlyar; S. N. Khonina; V. A. Soifer

doi:10.1117/12.318300

Diffractive optical element for Zernike decomposition

Yonggang Ha^*, Dazun Zhao, Yongtian Wang, V. V. Kotlyar, S. N. Khonina, V. A. Soifer

^*Corresponding author for this work

School of Optics and Photonics

Beijing Institute of Technology

Research output: Contribution to journal › Conference article › peer-review

23 Citations (Scopus)

Abstract

A Zernike polynomial can be used to describe not only the phase of a wavefront, but also its entire complex amplitude. For the latter case, a diffractive optical element (DOE) is proposed to decompose the incident wavefront into a set of diffraction orders with their amplitudes proportional to the coefficients of the Zernike polynomial. A 25-channel Zernike decomposer is designed by means of an iterative method, and its operation simulated. When the amplitude distribution of the incident wavefront is known, its shape can be uniquely determined from the intensity measured on the output plane of the DOE. An exemplary algorithm for the phase retrieval is also presented. Such a DOE can be very useful in the rapid analysis of wavefronts.

Original language	English
Pages (from-to)	191-197
Number of pages	7
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	3557
DOIs	https://doi.org/10.1117/12.318300
Publication status	Published - 1998
Event	Proceedings of the 1998 Conference on Current Developments in Optical Elements and Manufacturing - Beijing, China Duration: 16 Sept 1998 → 18 Sept 1998

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title = "Diffractive optical element for Zernike decomposition",

abstract = "A Zernike polynomial can be used to describe not only the phase of a wavefront, but also its entire complex amplitude. For the latter case, a diffractive optical element (DOE) is proposed to decompose the incident wavefront into a set of diffraction orders with their amplitudes proportional to the coefficients of the Zernike polynomial. A 25-channel Zernike decomposer is designed by means of an iterative method, and its operation simulated. When the amplitude distribution of the incident wavefront is known, its shape can be uniquely determined from the intensity measured on the output plane of the DOE. An exemplary algorithm for the phase retrieval is also presented. Such a DOE can be very useful in the rapid analysis of wavefronts.",

author = "Yonggang Ha and Dazun Zhao and Yongtian Wang and Kotlyar, {V. V.} and Khonina, {S. N.} and Soifer, {V. A.}",

year = "1998",

doi = "10.1117/12.318300",

language = "English",

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pages = "191--197",

journal = "Proceedings of SPIE - The International Society for Optical Engineering",

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publisher = "SPIE",

note = "Proceedings of the 1998 Conference on Current Developments in Optical Elements and Manufacturing ; Conference date: 16-09-1998 Through 18-09-1998",

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TY - JOUR

T1 - Diffractive optical element for Zernike decomposition

AU - Ha, Yonggang

AU - Zhao, Dazun

AU - Wang, Yongtian

AU - Kotlyar, V. V.

AU - Khonina, S. N.

AU - Soifer, V. A.

PY - 1998

Y1 - 1998

N2 - A Zernike polynomial can be used to describe not only the phase of a wavefront, but also its entire complex amplitude. For the latter case, a diffractive optical element (DOE) is proposed to decompose the incident wavefront into a set of diffraction orders with their amplitudes proportional to the coefficients of the Zernike polynomial. A 25-channel Zernike decomposer is designed by means of an iterative method, and its operation simulated. When the amplitude distribution of the incident wavefront is known, its shape can be uniquely determined from the intensity measured on the output plane of the DOE. An exemplary algorithm for the phase retrieval is also presented. Such a DOE can be very useful in the rapid analysis of wavefronts.

AB - A Zernike polynomial can be used to describe not only the phase of a wavefront, but also its entire complex amplitude. For the latter case, a diffractive optical element (DOE) is proposed to decompose the incident wavefront into a set of diffraction orders with their amplitudes proportional to the coefficients of the Zernike polynomial. A 25-channel Zernike decomposer is designed by means of an iterative method, and its operation simulated. When the amplitude distribution of the incident wavefront is known, its shape can be uniquely determined from the intensity measured on the output plane of the DOE. An exemplary algorithm for the phase retrieval is also presented. Such a DOE can be very useful in the rapid analysis of wavefronts.

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DO - 10.1117/12.318300

M3 - Conference article

AN - SCOPUS:0032303808

SN - 0277-786X

VL - 3557

SP - 191

EP - 197

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

T2 - Proceedings of the 1998 Conference on Current Developments in Optical Elements and Manufacturing

Y2 - 16 September 1998 through 18 September 1998

ER -

Diffractive optical element for Zernike decomposition

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