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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 9 — Sep. 1, 2004
  • pp: 1785–1798

Light distribution close to focus in biaxially birefringent media

Sjoerd Stallinga  »View Author Affiliations


JOSA A, Vol. 21, Issue 9, pp. 1785-1798 (2004)
http://dx.doi.org/10.1364/JOSAA.21.001785


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Abstract

The effect of focusing into a biaxially birefringent medium on the light distribution in the focal region of a high-NA optical system is investigated with the Debye approach to vectorial diffraction theory. Attention is limited to media with small birefringence. The electric field in the focal region is the sum of the field of the two polarization eigenmodes of the biaxially birefringent medium. Both modes are generally astigmatically aberrated, are defocused with respect to each other, and have a polarization field that is nonuniform over the pupil. The diffraction integrals are calculated numerically on the basis of an expansion of the field close to focus in terms of partial waves.

© 2004 Optical Society of America

OCIS Codes
(180.1790) Microscopy : Confocal microscopy
(210.4770) Optical data storage : Optical recording
(260.1440) Physical optics : Birefringence
(260.1960) Physical optics : Diffraction theory

History
Original Manuscript: October 15, 2003
Revised Manuscript: February 18, 2004
Manuscript Accepted: February 18, 2004
Published: September 1, 2004

Citation
Sjoerd Stallinga, "Light distribution close to focus in biaxially birefringent media," J. Opt. Soc. Am. A 21, 1785-1798 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-9-1785


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References

  1. S. Stallinga, “Axial birefringence in high-NA optical systems and the light distribution close to focus,” J. Opt. Soc. Am. A 18, 2846–2858 (2001). [CrossRef]
  2. E. Wolf, “Electromagnetic diffraction in optical systems. I. An integral representation of the image field,” Proc. R. Soc. London, Ser. A 253, 349–357 (1959). [CrossRef]
  3. B. Richards, E. Wolf, “Electromagnetic diffraction in optical systems. II. Structure if the image field in an aplanatic system,” Proc. R. Soc. London Ser. A 253, 358–379 (1959). [CrossRef]
  4. A. Boivin, E. Wolf, “Electromagnetic field in the neighborhood of the focus of a coherent beam,” Phys. Rev. B 138, 1561–1565 (1965). [CrossRef]
  5. A. Boivin, J. Dow, E. Wolf, “Energy flow in the neighbourhood of the focus of a coherent beam,” J. Opt. Soc. Am. 57, 1171–1175 (1967). [CrossRef]
  6. M. Mansuripur, “Distribution of light at and near the focus of high-numerical-aperture objectives,” J. Opt. Soc. Am. A 3, 2086–2093 (1986). [CrossRef]
  7. M. Mansuripur, “Certain computational aspects of vector diffraction problems,” J. Opt. Soc. Am. A 6, 786–805 (1989). [CrossRef]
  8. M. Mansuripur, “Distribution of light at and near the focus of high-numerical-aperture objectives: erratum; Certain computational aspects of vector diffraction problems: erratum,” J. Opt. Soc. Am. A 10, 382–383 (1993). [CrossRef]
  9. R. Kant, “An analytical solution of vector diffraction for focusing optical systems,” J. Mod. Opt. 40, 337–347 (1993). [CrossRef]
  10. R. Kant, “An analytical solution of vector diffraction for focusing optical systems with Seidel aberrations. I. Spherical aberration, curvature of field, and distortion,” J. Mod. Opt. 40, 2293–2310 (1993). [CrossRef]
  11. C. J. R. Sheppard, P. Török, “Efficient calculation of electromagnetic diffraction in optical systems using a multipole expansion,” J. Mod. Opt. 44, 803–818 (1997). [CrossRef]
  12. H. Ling, S.-W. Lee, “Focusing of electromagnetic waves through a dielectric interface,” J. Opt. Soc. Am. A 1, 965–973 (1984). [CrossRef]
  13. P. Török, P. Varga, Z. Laczik, G. R. Booker, “Electromagnetic diffraction of light focused through a planar interface between materials of mismatched refractive indices: an integral representation,” J. Opt. Soc. Am. A 12, 325–332 (1995). [CrossRef]
  14. P. Török, P. Varga, G. R. Booker, “Electromagnetic diffraction of light focused through a planar interface between materials of mismatched refractive indices: structure of the electromagnetic field. I,” J. Opt. Soc. Am. A 12, 2136–2144 (1995). [CrossRef]
  15. P. Török, P. Varga, G. Németh, “Analytical solution of the diffraction integrals and interpretation of wave-front distortion when light is focused through a planar interface between materials of mismatched refractive indices,” J. Opt. Soc. Am. A 12, 2660–2671 (1995). [CrossRef]
  16. S. H. Wiersma, T. D. Visser, “Defocusing of a converging electromagnetic wave by a plane dielectric interface,” J. Opt. Soc. Am. A 13, 320–325 (1996). [CrossRef]
  17. S. H. Wiersma, P. Török, T. D. Visser, P. Varga, “Comparison of different theories for focusing through a plane interface,” J. Opt. Soc. Am. A 14, 1482–1490 (1997). [CrossRef]
  18. V. Dhayalan, J. J. Stamnes, “Focusing of electromagnetic waves into a dielectric slab: I. Exact and asymptotic results,” Pure Appl. Opt. 6, 33–52 (1997).
  19. D. G. Flagello, T. Milster, A. E. Rosenbluth, “Theory of high-NA imaging in homogeneous thin films,” J. Opt. Soc. Am. A 13, 53–64 (1996). [CrossRef]
  20. J. J. Stamnes, D. Jiang, “Focusing of electromagnetic waves into a uniaxial crystal,” Opt. Commun. 150, 251–262 (1998). [CrossRef]
  21. D. Jiang, J. J. Stamnes, “Numerical and asymptotic results for focusing of two-dimensional waves in uniaxial crystals,” Opt. Commun. 163, 55–71 (1999). [CrossRef]
  22. D. Jiang, J. J. Stamnes, “Numerical and experimental results for focusing of two-dimensional electromagnetic waves into uniaxial crystals,” Opt. Commun. 174, 321–334 (2000). [CrossRef]
  23. J. J. Stamnes, G. Sithambaranathan, “Reflection and refraction of an arbitrary electromagnetic wave at a plane interface separating an isotropic and a biaxial medium,” J. Opt. Soc. Am. A 18, 3119–3129 (2001). [CrossRef]
  24. J. J. Stamnes, G. Sithambaranathan, M. Jain, J. K. Lotsberg, V. Dhayalan, “Focusing of electromagnetic waves into a biaxial crystal,” Opt. Commun. 226, 107–123 (2003). [CrossRef]
  25. P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988).
  26. J. J. Stamnes, Waves in Focal Regions (Hilger, Bristol, UK, 1986).
  27. J. J. Stamnes, ed., Electromagnetic Fields in the Focal Region, SPIE Milestone Volume 168 (SPIE Optical Engineering Press, Bellingham, Wash., 2001).
  28. M. K. Dekker, N. Pfeffer, M. Kuijper, W. M. Coene, E. R. Meinders, H. J. Borg, “Blue phase-change recording at high data densities and data rates,” in Optical Data Storage 2000, D. G. Stinson, R. Katayama, eds., Proc. SPIE4090, 28–35 (2000). [CrossRef]
  29. I. Ichimura, S. Masuhara, J. Nakano, Y. Kasami, K. Yasuda, O. Kawakubo, K. Osato, “On-groove phase-change optical recording for a capacity of 25 Gbytes,” in Optical Data Storage 2001, T. Hurst, S. Kobayashi, eds., Proc. SPIE4342, 168–177 (2001). [CrossRef]
  30. M. Kuijper, I. P. Ubbens, L. Spruijt, J. M. ter Meulen, K. Schep, “Groove-only recording under DVR conditions,” in Optical Data Storage 2001, T. Hurst, S. Kobayashi, eds., Proc. SPIE4342, 178–185 (2001). [CrossRef]
  31. M. Born, E. Wolf, Principles of Optics, 6th ed. (Cambridge U. Press, Cambridge, UK, 1980).
  32. T. D. Goodman, M. Mansuripur, “Subtle effects of the substrate in optical disk data storage systems,” Appl. Opt. 35, 6747–6753 (1996). [CrossRef] [PubMed]
  33. R. Bhandari, “Polarization of light and topological phases,” Phys. Rep. 281, 1–64 (1997). [CrossRef]
  34. M. Berry, R. Bhandari, S. Klein, “Black plastic sandwiches demonstrating biaxial optical anisotropy,” Eur. J. Phys. 20, 1–14 (1999). [CrossRef]
  35. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975).
  36. W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, Numerical Recipes in Fortran 77: The Art of Scientific Computing, 2nd ed. (Cambridge U. Press, Cambridge, UK, 1992).
  37. A. J. E. M. Janssen, “Extended Nijboer-Zernike approach for the computation of optical point-spread functions,” J. Opt. Soc. Am. A 19, 849–857 (2002). [CrossRef]
  38. J. J. M. Braat, P. Dirksen, A. J. E. M. Janssen, “Assessment of an extended Nijboer-Zernike approach for the computation of optical point-spread functions,” J. Opt. Soc. Am. A 19, 858–870 (2002). [CrossRef]
  39. J. L. Bakx, “Efficient computation of optical disk readout by use of the chirp z transform,” Appl. Opt. 41, 4897–4903 (2002). [CrossRef] [PubMed]
  40. J. F. Nye, Natural Focusing and Fine Structure of Light (Institute of Physics, Bristol, UK, 1999).

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