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

Wei Liang Hsu, Stanley K H Pau

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)986-993
Number of pages8
JournalOptics and Lasers in Engineering
Volume51
Issue number8
DOIs
StatePublished - Aug 2013

Fingerprint

parity
polynomials
Mirrors
Image processing
Polynomials
mirrors
geometrical optics
Optics
Imaging techniques

Keywords

  • Image formation
  • Polynomial mirror
  • Real image
  • Virtual image

ASJC Scopus subject areas

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

Cite this

Image formation of a one dimensional polynomial mirror : Numbers and parities of images. / Hsu, Wei Liang; Pau, Stanley K H.

In: Optics and Lasers in Engineering, Vol. 51, No. 8, 08.2013, p. 986-993.

Research output: Contribution to journalArticle

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