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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 26 — Dec. 20, 2010
  • pp: 27016–27027

A numerical analysis method for evaluating rod lenses using the Monte Carlo method

Shuhei Yoshida, Shuma Horiuchi, Zenta Ushiyama, and Manabu Yamamoto  »View Author Affiliations


Optics Express, Vol. 18, Issue 26, pp. 27016-27027 (2010)
http://dx.doi.org/10.1364/OE.18.027016


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Abstract

We propose a numerical analysis method for evaluating GRIN lenses using the Monte Carlo method. Actual measurements of the modulation transfer function (MTF) of a GRIN lens using this method closely match those made by conventional methods. Experimentally, the MTF is measured using a square wave chart, and is then calculated based on the distribution of output strength on the chart. In contrast, the general method using computers evaluates the MTF based on a spot diagram made by an incident point light source. However the results differ greatly from those from experiments. We therefore developed an evaluation method similar to the experimental system based on the Monte Carlo method and verified that it more closely matches the experimental results than the conventional method.

© 2010 OSA

OCIS Codes
(110.2760) Imaging systems : Gradient-index lenses
(110.4100) Imaging systems : Modulation transfer function

ToC Category:
Imaging Systems

History
Original Manuscript: September 29, 2010
Revised Manuscript: November 23, 2010
Manuscript Accepted: November 24, 2010
Published: December 8, 2010

Citation
Shuhei Yoshida, Shuma Horiuchi, Zenta Ushiyama, and Manabu Yamamoto, "A numerical analysis method for evaluating rod lenses using the Monte Carlo method," Opt. Express 18, 27016-27027 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-26-27016


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References

  1. T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, “Optical characteristics of a light-focusing fiber guide and its applications,” IEEE J. Quantum Electron. 6(10), 606–612 (1970). [CrossRef]
  2. Y. Koike, Y. Takezawa, and Y. Ohtsuka, “New interfacial-gel copolymerization technique for steric GRIN polymer optical waveguides and lens arrays,” Appl. Opt. 27(3), 486–491 (1988). [CrossRef] [PubMed]
  3. A. Fletcher, T. Murphy, and A. Young, “Solutions of Two Optical Problems,” Proc. R. Soc. Lond. A Math. Phys. Sci. 223(1153), 216–225 (1954). [CrossRef]
  4. E. G. Rawson, D. R. Herriott, and J. McKenna, “Analysis of refractive index distributions in cylindrical graded-index glass rods (GRIN Rods) used as image relays,” Appl. Opt. 9(3), 753–759 (1970). [CrossRef] [PubMed]
  5. K. Nishizawa, “Chromatic aberration of the Selfoc lens as an imaging system,” Appl. Opt. 19(7), 1052–1055 (1980). [CrossRef] [PubMed]
  6. N. Yamamoto and K. Iga, “Evaluation of gradient-index rod lenses by imaging,” Appl. Opt. 19(7), 1101–1104 (1980). [CrossRef] [PubMed]
  7. J. W. Coltman, “The Specification of Imaging Properties by Response to a Sine Wave Input,” J. Opt. Soc. Am. 44(6), 468–469 (1954). [CrossRef]
  8. H. W. Jensen, “Global Illumination using Photon Maps,” in Proceedings of the 7th Eurographics Workshop on Rendering, P. Schröder, ed. (Porto, Portugal, 1996), pp. 21–30.
  9. H. W. Jensen, S. R. Marschner, M. Levoy, and P. Hanrahan, “A Practical Model for Subsurface Light Transport,” in Proceedings of the 28th annual conference on Computer graphics and interactive techniques, L. Pocock, ed. (Los Angeles, Calif., 2001), pp. 511–518.
  10. M. Matsumoto and T. Nishimura, “Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator,” ACM Trans. Model. Comput. Simul. 8(1), 3–30 (1998). [CrossRef]
  11. M. Kawazu and Y. Ogura, “Application of gradient-index fiber arrays to copying machines,” Appl. Opt. 19(7), 1105–1112 (1980). [CrossRef] [PubMed]
  12. M. Oda, S. Suga, H. Yoshii, and T. Furuta, “Multilayer coating by drawing a thin plastic fiber through a polymer solution,” Asia Pac. J. Chem. 3(1), 63–69 (2008). [CrossRef]
  13. M. Oda, S. Suga, H. Yoshii, and T. Furuta, “Multi-layer coating by continuous withdrawal of a thin plastic fiber through polymer solution,” Kagaku Kogaku Ronbunshu 34(1), 187–193 (2008). [CrossRef]

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