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Novel free-form optical pairs for tunable focalizers

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Abstract

We unveil the use of a pair of free-form refractive elements for optically implementing tunable phase delays, over several annularly distributed regions, which are here represented by a binary function. We show that there is a closely related technique, which is useful for controlling amplitude attenuations over selected annularly distributed regions. We combine our two proposals for describing a tunable radial Schlieren technique, as well as a controllable phase contrast technique.

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References

  1. R. Kingslake, R.B. Johnson, Lens Design Fundamentals (Academic, Amsterdam, 2010)

    Google Scholar 

  2. H.H. Hopkins, 2-Conjugate Zoom Systems, in Optical Instruments and Techniques, ed. by J. Home Dickson (Oriel Press, Newcastle, 1970)

    Google Scholar 

  3. I. Kitajima, Improvement in lenses. British Patent 250, 268 (July 29, 1926)

  4. W.T. Plummer, J.G. Baker, J. van Tassell, Photographic optical systems with nonrotational aspheric surfaces. Appl. Opt. 38, 3572–3592 (1999)

    Article  ADS  Google Scholar 

  5. L.W. Alvarez, Two-element variable-power spherical lens. US Patent 3,305, 294 (December 3, 1964)

  6. Adolf W. Lohmann, Lente a focale variabili. Italian Patent 727,848 (June 19, 1964)

  7. A. W. Lohmann, Improvements relating to lenses and to variable optical lens systems formed for such a lens. Patent Specification 998,191, London (1965)

  8. A.W. Lohmann, A new class of varifocal lenses. Appl. Opt. 9, 1669–1671 (1970)

    Article  ADS  Google Scholar 

  9. J. Ojeda-Castaneda, S. Ledesma, C.M. Gómez-Sarabia, Tunable Apodizers and Tunable Focalizers using helical pairs. Photonics Lett. Pol. 5, 20–22 (2013)

    Google Scholar 

  10. J. Ojeda-Castaneda, C.M. Gómez-Sarabia, Tunable Focalizers: Axicons, Lenses and Axilenses. eds. J. Ojeda-Castaneda, M.J. Yzuel, R.B. Johnson. Proceedings SPIE 8833, 8833061–8833066 (2013)

  11. J.K.T. Eu, A.W. Lohmann, Isotropic Hilbert spatial filtering. Opt. Commun. 9, 257 (1973)

    Article  ADS  Google Scholar 

  12. J. Ojeda-Castaneda, L.R. Berriel-Valdos, Classification scheme and properties of the Schlieren techniques. Appl. Opt. 18, 3338–3341 (1979)

    Article  ADS  Google Scholar 

  13. J. Ojeda-Castañeda, Foucault, wire and phase-modulation tests, Chapter 8, in Optical Shop Testing, ed. Daniel Malacara (Wiley, Hoboken, 2007), pp. 291–292

  14. J. Ojeda-Castaneda, E. Jara, Isotropic Hilbert transform by anisotropic spatial filtering. Appl. Opt. 25, 4035–4038 (1986)

    Article  ADS  Google Scholar 

  15. F. Zernike, Phase contrast, a new method for the microscopic observation of transparent objects. Physica 9, 686 (1942). reprinted in Achievements in Optics, ed. A. Bouwers (Elsevier, Amsterdam, 1950), pp. 116–135

    Article  ADS  Google Scholar 

  16. E. Menzel, Die Abbildung von Phasenobjeckten in der Optischen Ubertraugstheorie, in Optics in Metrology, ed. by P. Mollet (Pergamon Press, Oxford, 1960), pp. 283–293

    Google Scholar 

  17. E. Menzel, W. Mirandé, I. Weingaertner, Fourier-Optik und Holographie (Springer, Wien, 1973), pp. 77–79

    Book  Google Scholar 

  18. J. Ojeda-Castaneda, Spatial Filtering Properties of the Methods Employed to Detect Phase Structures, Under Partially Coherent Illumination, in Optica Hoy y Mañana, ed. by J. Bescos, A. Hidalgo, L. Plaza, J. Santamaria (Sociedad Española de Optica, ICO, Madrid, 1978), pp. 287–290

    Google Scholar 

  19. J. Ojeda-Castaneda, A proposal to classify methods employed to detect thin phase structures, under coherent illumination. Opt. Acta 27, 917–929 (1980)

    Article  ADS  Google Scholar 

  20. J. Ojeda-Castaneda, Necessary and sufficient conditions for thin phase imagery. Opt. Acta 27, 905–915 (1980)

    Article  ADS  Google Scholar 

  21. S. Bernet, A. Jesacher, S. Fuerhapter, C. Maurer, M. Ritsch-Marte, Quantitative imaging of complex samples by spiral phase contrast microscopy. Opt. Express 14(9), 3792–3805 (2006)

    Article  ADS  Google Scholar 

  22. S. Bernet, M. Ritsch-Marte, Optical device with a pair of diffractive optical elements. US Patent 0134869 A1 (2010)

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Correspondence to Jorge Ojeda-Castañeda.

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Ojeda-Castañeda, J., Gómez-Sarabia, C.M. & Ledesma, S. Novel free-form optical pairs for tunable focalizers. J Opt 43, 85–91 (2014). https://doi.org/10.1007/s12596-014-0194-9

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  • DOI: https://doi.org/10.1007/s12596-014-0194-9

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