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7 - Achromatic and Athermal Lenses

Published online by Cambridge University Press:  23 September 2019

José Sasián
Affiliation:
University of Arizona
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Summary

The index of refraction of glass depends on the wavelength of light. For N-BK7 glass from Schott Company, the index of refraction is shown in Figure 7.1 for wavelengths ranging from 0.4 to 0.8 µm; shorter wavelengths have a higher index of refraction than longer wavelengths. Since the angle of refraction depends on the index of refraction, then the angle of refraction varies as the wavelength changes. This results in chromatic aberration. Similarly, the index of refraction and the radii of curvature and thickness of a lens vary with changes in lens temperature. This results in thermal aberrations; thermal change of focus, and thermal change of magnification. This chapter discusses both types of aberrations and their correction.

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Publisher: Cambridge University Press
Print publication year: 2019

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References

Further Reading

de Albuquerque, Bráulio Fonseca Carneiro, Sasián, José, de Sousa, Fabiano Luis, Montes, Amauri Silva. “Method of glass selection for color correction in optical system design,Optics Express, 20 (2012), 13592–611.Google ScholarPubMed
Hartmann, P. Optical Glass, Vol. PM249 (Bellingham, WA: SPIE Press, 2014).CrossRefGoogle Scholar
Li, C. L., Sasián, J.Adaptive dispersion formula for index interpolation and chromatic aberration correction,” Optics Express, 22(1) (2014), 1193–202.Google Scholar
Mercado, R. I.Design of apochromats and superachromats,” Proceedings of SPIE, 1 (1992), 270–96.Google Scholar
O’Shea, D., Suleski, T., Kathman, A., Prather, D. Diffractive Optics: Design, Fabrication, and Test (Bellingham, WA: SPIE Press Book Vol. TT62, 2003).CrossRefGoogle Scholar
O’Shea, Donald C. “Monochromatic quartet: a search for the global optimum”, Proceedings of SPIE 1354, 1990 International Lens Design Conference (1990); doi: 10.1117/12.47896.Google Scholar
Reshidko, D., Sasián, J.Method of calculation and tables of opto-thermal coefficients and thermal diffusivities for glass,” Proceedings of SPIE, 8844 (2013), doi: 10.1117/12.2036112.CrossRefGoogle Scholar
Reshidko, Dmitry, Nakano, Masatsugu, Sasián, José. “Ray tracing methods for correcting chromatic aberrations in imaging systems,” International Journal of Optics, 2014 (2014), Article ID 351584.Google Scholar
Reshidko, Dmitry, Sasián, José. “Algorithms and examples for chromatic aberration correction and athermalization of complex imaging systems,” Proceedings of SPIE 9293, International Optical Design Conference 2014, 92931K (2014).Google Scholar
Sasián, José, Gao, Weichuan, Yan, Yufeng. “Method to design apochromat and superachromat objectives,” Optical Engineering, 56(10) (2017), 105106.CrossRefGoogle Scholar
Sweatt, William C. “Describing holographic optical elements as lenses,Journal of the Optical Society of America, 67 (1977), 803–8.Google Scholar

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