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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 36, Iss. 11 — Apr. 10, 1997
  • pp: 2305–2312

Electromagnetic diffraction of light focused through a stratified medium

P. Török and P. Varga  »View Author Affiliations


Applied Optics, Vol. 36, Issue 11, pp. 2305-2312 (1997)
http://dx.doi.org/10.1364/AO.36.002305


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Abstract

We consider the focusing of light by a high-aperture lens into a stratified medium. The solution is based on our previously obtained results [J. Opt. Soc. Am. A 12, 325 (1995)], where we represented the illumination incident upon a plane interface between media with mismatched refractive indices as a sum of plane waves. The present solution is obtained in terms of plane waves, and it satisfies Maxwell’s equations. The diffraction integrals are obtained in a form that is readily computable. We present numerical examples for some practical cases.

© 1997 Optical Society of America

History
Original Manuscript: September 27, 1996
Revised Manuscript: December 2, 1996
Published: April 10, 1997

Citation
P. Török and P. Varga, "Electromagnetic diffraction of light focused through a stratified medium," Appl. Opt. 36, 2305-2312 (1997)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-36-11-2305


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References

  1. R. D. Vré, L. Hesselnik, “Analysis of photorefractive stratified volume holography optical elements,” J. Opt. Soc. Am. B 9, 1800–1808 (1994). [CrossRef]
  2. C. J. R. Sheppard, T. J. Connolly, J. Lee, C. J. Cogswell, “Confocal imaging of a stratified medium,” Appl. Opt. 33, 631–640 (1994). [CrossRef] [PubMed]
  3. 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]
  4. After submission of the present manuscript the authors were informed that a similarly rigorous theory appeared by V. Dhayalan, entitled “Focusing of electromagnetic waves,” Ph.D. dissertation (University of Bergen, Norway, 1996).
  5. 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]
  6. B. Richards, E. Wolf, “Electromagnetic diffraction in optical systems, II. Structure of the image field in an aplanatic system,” Proc. R. Soc. London Ser. A 253, 358–379 (1959). [CrossRef]
  7. P. Debye, “Das Verhalten von Lichtwellen in der Nähe eines Brennpunktes oder einer Brennlinie,” Ann. Phys. 30, 755–776 (1909). [CrossRef]
  8. M. Born, E. Wolf, Principles of Optics, 4th ed. (Pergamon, London, 1970).
  9. 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]
  10. P. Török, P. Varga, A. Konkol, G. R. Booker, “Electromagnetic diffraction of light focused through a planar interface between materials of mismatched refractive indices: structure of the electromagnetic field. II,” J. Opt. Soc. Am. A 13, 2232–2238 (1996). [CrossRef]
  11. W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannely, Numerical Recipes, 2nd ed. (Cambridge U. Press, Cambridge, 1992).

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