Chromatic aberration of plane-symmetric optical systems

Yiqing Cao; Lijun Lu; Zhiyong Deng

doi:10.1364/AO.58.000227

Applied Optics
Vol. 58,
Issue 2,
pp. 227-233
(2019)
•https://doi.org/10.1364/AO.58.000227

Chromatic aberration of plane-symmetric optical systems

Yiqing Cao, Lijun Lu, and Zhiyong Deng

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Yiqing Cao, Lijun Lu, and Zhiyong Deng, "Chromatic aberration of plane-symmetric optical systems," Appl. Opt. 58, 227-233 (2019)

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Abstract

This paper presents a calculation method of chromatic aberration of such kinds of optical systems based on the aberration theory of plane-symmetric optical systems, and the analytic expressions of the axial chromatic aberration and chromatic change in the magnification at an image plane of any position are derived. The resultant expressions are used to calculate the chromatic aberration of two single-lens optical systems with a large incidence angle, and the calculation results are compared to the ones obtained from a ray-tracing program to validate the chromatic aberration expressions. The study shows that the calculation accuracy of the chromatic aberration expressions is satisfactory. The analytical analysis of chromatic aberration is helpful in the imaging analysis and design of plane-symmetric optical systems.

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Corrections

Yiqing Cao, Lijun Lu, and Zhiyong Deng, "Chromatic aberration of plane-symmetric optical systems: publisher’s note," Appl. Opt. 58, 2556-2556 (2019)
https://opg.optica.org/ao/abstract.cfm?uri=ao-58-10-2556

18 March 2019: A correction was made to the Funding section.

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Parameter	$R_{1}$	$R_{2}$	$α_{1}$	$r_{m 1}$	$r_{s 1}$	$t_{m 1}$	$t_{s 1}$	$d$	$r_{0}^{'}$
Value	300	−100	50°(70°)	155	155	60	60	3.37	300

Parameter	$R_{1}$	$R_{2}$	$α_{1}$	$r_{m 1}$	$r_{s 1}$	$t_{m 1}$	$t_{s 1}$	$d$	$r_{0}^{'}$
Value	−160	265	50°(70°)	100	100	80	80	5.5	200

(a)
			$δ r_{m}^{'}$	$δ r_{s}^{'}$	$δ M_{m} / M_{m}$	$δ M_{s} / M_{s}$
D light and F light	formulas derived in this paper	50°	−1.018	−15.694	0.26935	−0.00786
	formulas derived in this paper	70°	0.126	−4.709	0.01228	−0.01022
	ray-tracing program	50°	−1.044	−15.214	0.27541	−0.00789
	ray-tracing program	70°	0.158	−4.738	0.01380	−0.01047
D light and C light	formulas derived in this paper	50°	0.453	6.888	−0.11971	−0.00345
	formulas derived in this paper	70°	0.055	2.093	−0.00546	0.00454
	ray-tracing program	50°	0.473	7.045	−0.12222	−0.00347
	ray-tracing program	70°	0.071	2.174	−0.00613	0.00466
(b)
			$δ r_{m}^{'}$	$δ r_{s}^{'}$	$δ M_{m} / M_{m}$	$δ M_{s} / M_{s}$
D light and F light	formulas derived in this paper	50°	0.249	0.258	0.00588	0.00269
	formulas derived in this paper	70°	0.102	0.233	0.00857	0.00274
	ray-tracing program	50°	−0.110	0.261	0.00595	0.00267
	ray-tracing program	70°	0.125	0.242	0.00918	0.00271
D light and C light	formulas derived in this paper	50°	0.259	−0.113	−0.00259	−0.00119
	formulas derived in this paper	70°	−0.045	−0.103	−0.00377	−0.00121
	ray-tracing program	50°	−0.115	−0.116	−0.00262	−0.00118
	ray-tracing program	70°	−0.056	−0.107	−0.00404	−0.00120

Parameter	$R_{1}$	$R_{2}$	$α_{1}$	$r_{m 1}$	$r_{s 1}$	$t_{m 1}$	$t_{s 1}$	$d$	$r_{0}^{'}$
Value	300	−100	50°(70°)	155	155	60	60	3.37	300

Parameter	$R_{1}$	$R_{2}$	$α_{1}$	$r_{m 1}$	$r_{s 1}$	$t_{m 1}$	$t_{s 1}$	$d$	$r_{0}^{'}$
Value	−160	265	50°(70°)	100	100	80	80	5.5	200

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Applied Optics