Aberration analysis of a wedge-plate display system

Yi-Kai Cheng; Sen-Nien Chung; Jyh-Long Chern

doi:10.1364/JOSAA.24.002357

Journal of the Optical Society of America A
Vol. 24,
Issue 8,
pp. 2357-2362
(2007)
•https://doi.org/10.1364/JOSAA.24.002357

Aberration analysis of a wedge-plate display system

Yi-Kai Cheng, Sen-Nien Chung, and Jyh-Long Chern

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Yi-Kai Cheng, Sen-Nien Chung, and Jyh-Long Chern, "Aberration analysis of a wedge-plate display system," J. Opt. Soc. Am. A 24, 2357-2362 (2007)

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Abstract

The aberration characteristics of a wedge-plate display optical system are analyzed. The study shows that a kink-like feature is inherent in the ray-intercept curve due to either the onset of the dark zone in imaging or the coincidence of the ray direction with the vertex. Third-order aberration coefficients are deduced, and the total amount of aberration is investigated to illustrate the basic limitations of image quality in this type of display. The issue of design optimization is also investigated based on the aberration characteristics. A numerical example of a $50 in.$ display with a 1:10 thickness and a diagonal screen length ratio is also provided.

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$a_{1}$	$- fp m + \frac{fp Csc (2 θ_{v} Ceiling Θ)}{d n} (L + (1 - {Ceiling}^{'} Θ) Cot (2 θ_{v} Ceiling Θ))$
$a_{2}$	$\frac{Csc (2 θ_{2} Ceiling Θ)}{d n} (- d n + L - (1 - {Ceiling}^{'} Θ) Cot (2 θ_{V} Ceiling Θ))$
$a_{3}$	$\frac{f p^{2} Csc (2 θ_{V} Ceiling Θ)}{d^{2} n^{2}} (- \frac{1}{2} + L Cot (2 θ_{V} Ceiling Θ) (1 - {Ceiling}^{'} Θ) +$
	${Cot}^{2} (2 θ_{V} Ceiling Θ) + \frac{1}{2} {(1 - {Ceiling}^{'} Θ)}^{2} + \frac{Cot (2 θ_{V} Ceiling Θ) {Ceiling}^{″} Θ}{4 θ_{V}})$
$a_{4}$	$\frac{Csc (2 θ_{V} Ceiling Θ)}{d^{2} n^{2}} (- \frac{1}{2} + (d n + L) Cot (2 θ_{V} Ceiling Θ) (1 - {Ceiling}^{'} Θ) +$
	${Cot}^{2} (2 θ_{V} Ceiling Θ) {(1 - {Ceiling}^{'} Θ)}^{2} + \frac{1}{2} (1 - {Ceiling}^{'} Θ) - \frac{Cot (2 θ_{V} Ceiling Θ) {Ceiling}^{″} Θ}{4 θ_{V}})$
$a_{5}$	$\frac{fp Csc (2 θ_{V} Ceiling Θ)}{d^{2} n^{2}} (1 - (1 - {Ceiling}^{'} Θ) (d n + 2 L) Cot (2 θ_{V} Ceiling Θ) + \binom{}{}$
	$d n (1 - {Ceiling}^{'} Θ) (2 {Cot}^{2} (2 θ_{V} Ceiling Θ) + 1) + \frac{Cot (2 θ_{V} Ceiling Θ) {Ceiling}^{″} Θ}{2 θ_{V}})$
where	$Θ = \frac{90 ° - θ_{c}}{2 θ_{V}}$

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Journal of the Optical Society of America A