Sufficient conditions for prisms to produce orthogonal image orientation functions without spectral dispersion

Te Tan Liao; Psang Dain Lin

doi:10.5277/oa180404

Sufficient conditions for prisms to produce orthogonal image orientation functions without spectral dispersion

Te Tan Liao, Psang Dain Lin

Department of Mechanical Engineering

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

Abstract

One of the main functions of a prism is to produce an image orientation function without spectral dispersion. The present study extends the work previously reported in [JOSAA 33(7), 2016, pp. 1257 –1266] to analyze the sufficient conditions for a prism to produce two particular image orientation functions (Φ ₂ and Φ ₅ ) without spectral dispersion. It is shown that there exist two sufficient conditions under which spectral dispersion can be avoided: (1) the rays enter and exit the prism perpendicularly, or (2) the prism comprises two halves which are mirror images of one another. The present findings provide a useful basis for the design of prisms without spectral dispersion.

Original language	English
Pages (from-to)	575-587
Number of pages	13
Journal	Optica Applicata
Volume	48
Issue number	4
DOIs	https://doi.org/10.5277/oa180404
Publication status	Published - 2018

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics

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title = "Sufficient conditions for prisms to produce orthogonal image orientation functions without spectral dispersion",

abstract = " One of the main functions of a prism is to produce an image orientation function without spectral dispersion. The present study extends the work previously reported in [JOSAA 33(7), 2016, pp. 1257 –1266] to analyze the sufficient conditions for a prism to produce two particular image orientation functions (Φ 2 and Φ 5 ) without spectral dispersion. It is shown that there exist two sufficient conditions under which spectral dispersion can be avoided: (1) the rays enter and exit the prism perpendicularly, or (2) the prism comprises two halves which are mirror images of one another. The present findings provide a useful basis for the design of prisms without spectral dispersion. ",

author = "Liao, {Te Tan} and Lin, {Psang Dain}",

note = "Funding Information: Acknowledgements – The authors gratefully acknowledge the financial support provided to this study by the Ministry of Science and Technology of Taiwan under grant number MOST 104-2221-E-006-123 -.",

year = "2018",

doi = "10.5277/oa180404",

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journal = "Optica Applicata",

issn = "0078-5466",

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AU - Liao, Te Tan

AU - Lin, Psang Dain

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PY - 2018

Y1 - 2018

N2 - One of the main functions of a prism is to produce an image orientation function without spectral dispersion. The present study extends the work previously reported in [JOSAA 33(7), 2016, pp. 1257 –1266] to analyze the sufficient conditions for a prism to produce two particular image orientation functions (Φ 2 and Φ 5 ) without spectral dispersion. It is shown that there exist two sufficient conditions under which spectral dispersion can be avoided: (1) the rays enter and exit the prism perpendicularly, or (2) the prism comprises two halves which are mirror images of one another. The present findings provide a useful basis for the design of prisms without spectral dispersion.

AB - One of the main functions of a prism is to produce an image orientation function without spectral dispersion. The present study extends the work previously reported in [JOSAA 33(7), 2016, pp. 1257 –1266] to analyze the sufficient conditions for a prism to produce two particular image orientation functions (Φ 2 and Φ 5 ) without spectral dispersion. It is shown that there exist two sufficient conditions under which spectral dispersion can be avoided: (1) the rays enter and exit the prism perpendicularly, or (2) the prism comprises two halves which are mirror images of one another. The present findings provide a useful basis for the design of prisms without spectral dispersion.

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