Current Optics and Photonics

Optical Society of Korea (한국광학회)
권호 표지
DOI QR코드

DOI QR Code

New Design Method of Stable Lens System Against Chromatic Variation Based on Paraxial Ray Tracing

  • Lee, Jong-Ung (Department of Laser and Optical Information Engineering, Cheongju University)
  • Received : 2019.12.27
  • Accepted : 2020.01.09
  • Published : 2020.02.25
Download PDF
⟨ Previous Next ⟩

Abstract

This paper presents a new method for designing a lens system stable against chromatic variation at a specified wavelength. Conventional lenses are corrected for chromatic aberration, but the new method suppresses chromatic changes of the marginal ray in the image-side. By doing so, paraxial properties of the lens system are stabilized against chromatic variation. Since the new method is based on paraxial ray tracing, the stabilizing conditions against chromatic variation are given by recurrence formulas. However, there is an analytic solution for the case of a cemented doublet in the air. A stable doublet at 405 nm wavelength is designed and analyzed.

Keywords

References

  1. R. Kingslake and R. B. Johnson, Lens design fundamentals (Academic Press, USA, 2009), Chapter 4.
  2. W. J. Smith, Modern optical engineering, 4th ed. (McGraw-Hill Education, USA, 2008), Chapter 5.
  3. M. J. Kidger, Fundamental Optical Design (SPIE Press, Bellingham, USA, 2002), Chapter 8.
  4. T. Y. Lim, Y. S. Kim, and S. C. Park, "Graphical selection of optical materials using an expanded athermal glass map and considering the housing material for an athermal and achromatic design," J. Opt. Soc. Korea 19, 531-536 (2015). https://doi.org/10.3807/JOSK.2015.19.5.531
  5. T. Y. Lim and S. C. Park, "Achromatic and athermal lens design by redistributing the element powers on an athermal glass map," Opt. Express 24, 18049-18058 (2016). https://doi.org/10.1364/OE.24.018049
  6. D. A. Kim and J. U. Lee, "Optical design of a laser scanning system stable against wavelength and temperature variations," Korean J. Opt. Photon. 27, 32-40 (2016). https://doi.org/10.3807/KJOP.2016.27.1.032
  7. N. v. d. W. Lessing, "Selection of optical glasses in superachromats," Appl. Opt. 9, 1665-1668 (1970). https://doi.org/10.1364/AO.9.001665
  8. P. N. Robb, "Selection of optical glasses. 1: two materials," Appl. Opt. 24, 1864-1877 (1985). https://doi.org/10.1364/AO.24.001864
  9. J. L. Rayces and M. R. Aguilar, "Selection of glasses for achromatic doublets with reduced secondary color," Proc. SPIE 4093, 36-46 (2000).
  10. S.-Y. Lee and J. U. Lee, "Optical design of a collimator lens that is very stable against chromatic variation," Korean J. Opt. Photon. 28, 68-74 (2017). https://doi.org/10.3807/KJOP.2017.28.2.068
  11. J. U. Lee and S. M. Yu, "Analytic design procedure of three-mirror telescope corrected for spherical aberration, coma, astigmatism, and Petzval field curvature," J. Opt. Soc. Korea 13, 184-192 (2009). https://doi.org/10.3807/JOSK.2009.13.2.184
  12. J. U. Lee, Y. Kim, S. H. Kim, Y. Kim and H. Kim, "Optical design of an image-space telecentric two-mirror system for wide-field line imaging," Curr. Opt. Photon. 1, 344-350 (2017). https://doi.org/10.3807/COPP.2017.1.4.344
  13. A. Szulc, "Improved solution for the cemented doublet," Appl. Opt. 35, 3548-3558 (1996). https://doi.org/10.1364/AO.35.003548
  14. T. Ivanova, G. Romanova, T. Zhukova, and O. Kalinkina "Computer tool for achromatic and aplanatic cemented doublet design and analysis," Proc. SPIE 10376, 103760X (2017).