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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 30 — Oct. 20, 2012
  • pp: 7286–7294

Theoretical and experimental analysis of basic parameters of two-element optical systems

Antonín Mikš and Pavel Novák  »View Author Affiliations

Applied Optics, Vol. 51, Issue 30, pp. 7286-7294 (2012)

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Our work presents detailed theoretical analysis of two-element optical systems of telephoto lenses and objectives of anallactic telescopes with internal focusing. The first element of such systems has positive optical power and the second element has negative optical power. This type of optical system is widespread in practice mainly in the field of photographic lenses and in surveying instruments (theodolites, leveling instruments, etc.) where the anallactic telescope with internal focusing is being used. In our work we propose methods to determine the basic parameters of such objectives, i.e., the focal lengths of both the elements of the objective lens and their mutual axial separation. Furthermore, the detailed analysis of aberration properties of such optical systems is performed and methods for measuring the focal lengths of individual elements and their mutual distance without the need for disassembling the investigated optical system are presented.

© 2012 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(080.1010) Geometric optics : Aberrations (global)
(080.3620) Geometric optics : Lens system design
(120.3940) Instrumentation, measurement, and metrology : Metrology
(220.3620) Optical design and fabrication : Lens system design
(220.4840) Optical design and fabrication : Testing

ToC Category:
Optical Design and Fabrication

Original Manuscript: July 12, 2012
Revised Manuscript: September 19, 2012
Manuscript Accepted: September 20, 2012
Published: October 16, 2012

Antonín Mikš and Pavel Novák, "Theoretical and experimental analysis of basic parameters of two-element optical systems," Appl. Opt. 51, 7286-7294 (2012)

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  1. A. Mikš, Applied Optics (Czech Technical University, 2009).
  2. H. Chretien, Calcul des Combinaisons Optiques (Masson, 1980).
  3. W. T. Welford, Aberrations of the Symmetrical Optical Systems (Academic, 1974).
  4. S. F. Ray, Applied Photographic Optics (Focal, 2002).
  5. R. Kingslage and R. B. Johnson, Lens Design Fundamentals (Elsevier, 2010).
  6. H. Gross, F. Blechinger, and B. Achtner, Handbook of Optical Systems, Volume IV: Survey of Optical Instruments (Wiley-VCH, 2008).
  7. W. Smith, Modern Optical Engineering, 4th ed. (McGraw-Hill, 2007).
  8. M. Laikin, Lens Design, 4th ed. (CRC, 2006).
  9. T. Kazamaki and F. Kondo, “New Series of Distortionless Telephoto Lenses,” J. Opt. Soc. Am. 46, 22–31 (1956). [CrossRef]
  10. H. Wild, “Neue Nivellierinstrumente,” Z. Instrumentenkd. 29, 329–344 (1909).
  11. H. Wild, “Der neue Theodolit,” Schweiz. Z. Vermw. Kulturt. 23, 103–105 (1925).
  12. O. Eggert, “Ein Beitrag zur Theorie des Fernrohrs mit Fokussierlinse,” Z. Vermessungswes. 23, 833–841 (1929).
  13. H. Schulz, “Der anallaktische Punkt beim Fernrohr mit innerer Einstellinse,” Z. Istrumentenkd. 56, 357–360 (1936).
  14. R. Roelofs, “Fadendistanzmesser mit Innenfokussierung,” Z. Istrumentenkd. 61, 137–1947 (1941).
  15. S. V. Eliseev, Geodezicheskie Instrumenty a Pribory (Nedra, 1973).
  16. F. Deumlich, Instrumentenkunde der vermessungstechnik (VEB Verlag für Bauwesen, 1967).
  17. W. Uhink, “Betrachtungen über Fernrohre mit Entfernungmessfäden,” Z. Istrumentenkd. 52, 435–442 (1932).
  18. A. Mikš and J. Novák, “Estimation of accuracy of optical measuring systems with respect to object distance,” Opt. Express 19, 14300–14314 (2011). [CrossRef]
  19. A. Mikš, J. Novák, and P. Novák, “Method of zoom lens design,” Appl. Opt. 47, 6088–6098 (2008). [CrossRef]
  20. A. Mikš, “Modification of the formulas for third-order aberration coefficients,” J. Opt. Soc. Am. A 19, 1867–1871 (2002). [CrossRef]
  21. M. Berek, Grundlagen der Praktischen Optik (Walter de Gruyter & Co., 1970).
  22. D. Argentieri, Ottica Industriale (Hoepli, 1942).
  23. H. H. Hopkins and V. V. Rao, “The systematic design of two component objectives,” Opt. Acta 17, 497–514 (1970). [CrossRef]
  24. M. I. Khan, “Cemented triplets: a method for rapid design,” Opt. Acta 31, 873–883 (1984). [CrossRef]
  25. C. H. Chen and S. G. Shiue, “Method of solving a triplet comprising a singlet and a cemented doublet with given primary aberrations,” J. Mod. Opt. 45, 2063–2084 (1998).
  26. A. Szulc, “Improved solution for the cemented doublet,” Appl. Opt. 35, 3548–3558 (1996). [CrossRef]
  27. M. H. Sussman, “Cemented aplanatic doublets,” J. Opt. Soc. Am. 52, 1185–1186 (1962). [CrossRef]
  28. S. Banerjee and L. Hazra, “Experiments with a genetic algorithm for structural design of cemented doublets with prespecified aberration targets,” Appl. Opt. 40, 6265–6273 (2001). [CrossRef]
  29. M. I. Khan and J. Macdonald, “Cemented doublets, a method for rapid design,” Opt. Acta 29, 807–822 (1982). [CrossRef]
  30. G. V. Kreopalova, N. L. Lazareva, and D. T. Puriajev, Optical Measurements (Maschinostroenie, 1987).
  31. J. Picht, Mess- und Prüfmethoden der optischen Fertigung (Akademie-Verlag, 1953).
  32. J. Flügge, Einführung in die Messung der optischen Grundgrössen (Verlag Braun, 1954).
  33. B. Dorband, H. Miller, and H. Gross, Handbook of Optical Systems, Vol. 5: Metrology of Optical Components and Systems (Wiley, 2012).
  34. D. Malacara, Optical Shop Testing, 3rd ed. (Wiley, 2007).

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