The importance of induced aberrations in the correction of secondary color

Rogers, John R.

doi:10.1515/aot-2012-0079

Cited by 5 publications

(6 citation statements)

References 12 publications

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“…So, the LCA of a lens can be considered as some kind of combination of the intrinsic and induced chromatic aberrations, a detailed discussion can be found in the Ref. 5–7.…”

Section: Paraxial Lcamentioning

confidence: 99%

Exact formula for longitudinal chromatic aberration of a thick lens through design parameters

Duplov

2023

Opt. Eng.

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This work presents the exact analytical formula for calculation of the longitudinal chromatic aberration of a lens, in contrast with the approximate nature of the traditional approach based only on the dispersion of the optical material. This formula additionally takes into account the radii of curvature of the lens surfaces, lens thickness, object and image distances, and the chromatic aberration of the previous optical system. The presented formula is used for the derivation of rigorous equations for color correction of simple lens systems. To test them, this work presents examples of achromatic and apochromatic lenses that are designed by solving these equations. These results prove the usefulness of the presented approach for color correction and open the way for a broad and rigorous study of chromatic aberrations in various optical systems.

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“…So, the LCA of a lens can be considered as some kind of combination of the intrinsic and induced chromatic aberrations, a detailed discussion can be found in the Ref. 5–7.…”

Section: Paraxial Lcamentioning

confidence: 99%

Exact formula for longitudinal chromatic aberration of a thick lens through design parameters

Duplov

2023

Opt. Eng.

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“…Over the years, a number of papers with analytical methods for finding optimal glass combinations for color correction have been published [1][2][3]. In recent years much attention in this field has also been paid to the role of induced aberrations [4][5][6]. It was shown that for complex optical systems the highest degree of optical correction is achieved when both intrinsic and induced terms of color aberrations are considered [5].…”

Section: Introductionmentioning

confidence: 99%

A new method for glass substitution in optical design based on sensitivity analysis.

Garshin

2024

Optical Design and Engineering IX

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A new method for glass substitution during the lens design has been developed. Exploring existing longitudinal aberration contributions, the new method uses sensitivity analysis to find optimal optical glass constants (refractive index, Abbe number, and relative partial dispersion) for certain optical system elements. A case study introducing the glass substitution method to the optical system design is described. It is shown that the new approach provides step-bystep improvements in the optical system's longitudinal aberration correction. The current limitations of the method are also described.

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“…It has been shown in the past that induced aberrations can have a significant impact on the correction of secondary axial color [4,5]. Today, the importance of induced aberrations for the correction of secondary axial color is again under investigation [6][7][8]. Actually, there are certain types of optical systems that exclusively take advantage of induced effects to obtain a chromatically corrected image [4,9].…”

Section: Introductionmentioning

confidence: 99%

“…However, to determine the latter one, a second paraxial ray needs to be traced. In present research, analytical expressions for induced color aberrations are obtained only for selected examples and certain special cases [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Second-order axial color of thin lenses in air

Nobis

2015

J. Opt. Soc. Am. A

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In present research, the influence of higher-order aberrations on the correction of secondary axial color is under investigation. Analytical solutions have so far been restricted to special cases and simple optical systems. Common theories require the tracing of rays of different wavelengths. Such numerical approaches do not support the comprehension of the underlying physical effects. In this paper, a formula for second-order axial color contributions is derived which is based on paraxial ray data for the reference wavelength only. Therefore, it allows the determination of second-order axial color in early paraxial design stages without further numerical ray trace. For systems of thin lenses in air, three second-order effects are identified and discussed using simple examples. A quantitative comparison with intrinsic secondary axial color is given.

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The importance of induced aberrations in the correction of secondary color

Cited by 5 publications

References 12 publications

Exact formula for longitudinal chromatic aberration of a thick lens through design parameters

Exact formula for longitudinal chromatic aberration of a thick lens through design parameters

A new method for glass substitution in optical design based on sensitivity analysis.

Second-order axial color of thin lenses in air

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