Image formation of a one dimensional polynomial mirror: Numbers and parities of images

Wei Liang Hsu; Stanley Pau

doi:10.1016/j.optlaseng.2013.02.020

Image formation of a one dimensional polynomial mirror: Numbers and parities of images

Research output: Contribution to journal › Article › peer-review

Abstract

This paper addresses the image formation, including both real images and virtual images, of the polynomial mirrors when analyzed by using ray optics. The imaging properties of polynomial mirrors, including mirrors with quadratic, cubic, and quartic polynomial shapes, are reviewed and generalized to higher order polynomial mirrors by being approximated as a piecewise set of displaced parabolic mirrors. The conditions in which multiple virtual images can be formed and the parities of the virtual images are investigated both theoretically and experimentally.

Original language	English (US)
Pages (from-to)	986-993
Number of pages	8
Journal	Optics and Lasers in Engineering
Volume	51
Issue number	8
DOIs	https://doi.org/10.1016/j.optlaseng.2013.02.020
State	Published - Aug 2013

Keywords

Image formation
Polynomial mirror
Real image
Virtual image

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Mechanical Engineering
Electrical and Electronic Engineering

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10.1016/j.optlaseng.2013.02.020

Cite this

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title = "Image formation of a one dimensional polynomial mirror: Numbers and parities of images",

abstract = "This paper addresses the image formation, including both real images and virtual images, of the polynomial mirrors when analyzed by using ray optics. The imaging properties of polynomial mirrors, including mirrors with quadratic, cubic, and quartic polynomial shapes, are reviewed and generalized to higher order polynomial mirrors by being approximated as a piecewise set of displaced parabolic mirrors. The conditions in which multiple virtual images can be formed and the parities of the virtual images are investigated both theoretically and experimentally.",

keywords = "Image formation, Polynomial mirror, Real image, Virtual image",

author = "Hsu, {Wei Liang} and Stanley Pau",

note = "Funding Information: This work is funded by the United States Air Force Office of Scientific Research (AFOSR) Multi-University Research Initiative (MURI) Program under Award FA9550-09-1-0669-DOD35CAP and by the Arizona Technology Research Infrastructure Fund (TRIF) . The authors thank G. Myhre for helpful comments on the manuscript.",

year = "2013",

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doi = "10.1016/j.optlaseng.2013.02.020",

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journal = "Optics and Lasers in Engineering",

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T2 - Numbers and parities of images

AU - Hsu, Wei Liang

AU - Pau, Stanley

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PY - 2013/8

Y1 - 2013/8

N2 - This paper addresses the image formation, including both real images and virtual images, of the polynomial mirrors when analyzed by using ray optics. The imaging properties of polynomial mirrors, including mirrors with quadratic, cubic, and quartic polynomial shapes, are reviewed and generalized to higher order polynomial mirrors by being approximated as a piecewise set of displaced parabolic mirrors. The conditions in which multiple virtual images can be formed and the parities of the virtual images are investigated both theoretically and experimentally.

AB - This paper addresses the image formation, including both real images and virtual images, of the polynomial mirrors when analyzed by using ray optics. The imaging properties of polynomial mirrors, including mirrors with quadratic, cubic, and quartic polynomial shapes, are reviewed and generalized to higher order polynomial mirrors by being approximated as a piecewise set of displaced parabolic mirrors. The conditions in which multiple virtual images can be formed and the parities of the virtual images are investigated both theoretically and experimentally.

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KW - Polynomial mirror

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KW - Virtual image

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Image formation of a one dimensional polynomial mirror: Numbers and parities of images

Abstract

Keywords

ASJC Scopus subject areas

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