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A Study for Non-paraxial Diffraction Caused by Curved Principal Planes

주요면의 만곡에 따른 비근축 회절에 대한 연구

  • Lee, Jong Ung (Department of Laser and Optical Information Engineering, Cheongju University)
  • 이종웅 (청주대학교 레이저광정보공학과)
  • Received : 2012.01.02
  • Accepted : 2012.02.03
  • Published : 2012.02.25

Abstract

According to the paraxial diffraction theory, diffractions of optical systems which have the same wavelength and numerical aperture are always the same, independent of lateral magnification. But the diffractions for optical systems with different magnifications are varied due to the non-paraxial diffraction effect on the imaging of high NA optics. In this study, the non-paraxial diffraction effect is interpreted as a phenomena caused by curved principal planes. Pupil functions and modulation transfer functions of aplanatic conic mirrors are examined as a function of lateral magnification.

근축회절 이론에서는 횡배율이 달라도 파장과 수치구경이 같으면 항상 동일하게 회절한다. 하지만 수치구경이 큰 광학계에서는 비근축 회절효과에 의하여 횡배율에 따라 회절 특성이 변화하게 된다. 이 연구에서는 높은 수치구경을 가지는 무수차 광학계에서 나타나는 비근축 회절효과를 주요면의 만곡이라는 관점에서 해석하고, 배율이 다른 무수차 원추곡면경의 결상에서 비근축회절효과에 의한 MTF의 변화를 살펴보았다.

Keywords

References

  1. H. Gross, Handbook of Optical Systems, vol. I. (Wiley-VCH Verlag GmbH & Co., Weinheim, Germany, 2005), Chapter 6.
  2. D. C. Cole, E. Barouch, U. Hollerbach, and S. A. Orszag, "Deviation and simulation of higher numerical aperture scalar aerial images," Jpn. J. Appl. Phys. 31, 4110-4119 (1992). https://doi.org/10.1143/JJAP.31.4110
  3. J. E. Harvey, C. L. Vernold, A. Krywonos, and P. L, Thompson, "Diffracted radiance: a fundamental quantity in nonparaxail scalar diffraction theory," Appl. Opt. 38, 6469-6481 (1999). https://doi.org/10.1364/AO.38.006469
  4. J. D. Jackson, Classical Electrodynamics, 2nd ed. (John & Wiley & Sons Inc., New York, USA, 1975), pp. 432-438.
  5. C. J. R. Sheppard and H. J. Matthews, "Imaging in highaperture optical systems," J. Opt. Soc. Am. A 4, 1354-1360 (1987).
  6. M. Mansuripur, "Certain computational aspects of vector diffraction problems," J. Opt. Soc. Am. A 6, 786-805 (1989).
  7. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge Univ. Press, 2003, Cambridge), pp. 160-166.
  8. W. J. Smith, Modern Optical Engineering, 4th ed. (McGraw- Hill, New York, USA, 2003), Chapter 2.
  9. P. Arguijo, M. S. Scholl, and G. Paez, "Diffraction patterns formed by an off-axis paraboloid surface," Appl. Opt. 40, 2909-2916 (2001). https://doi.org/10.1364/AO.40.002909
  10. S. Guha and G. D. Gillen, "Vector diffraction theory of refraction of light by a spherical surface," J. Opt. Soc. Am. B 24, 1-8 (2007). https://doi.org/10.1364/JOSAB.24.000001

Cited by

  1. Non-Paraxial Diffraction Effect of High NA Objectives vol.25, pp.1, 2014, https://doi.org/10.3807/KJOP.2014.25.1.008