OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 14, Iss. 7 — Jul. 1, 1997
  • pp: 1482–1490

Comparison of different theories for focusing through a plane interface

S. H. Wiersma, P. Török, T. D. Visser, and P. Varga  »View Author Affiliations


JOSA A, Vol. 14, Issue 7, pp. 1482-1490 (1997)
http://dx.doi.org/10.1364/JOSAA.14.001482


View Full Text Article

Enhanced HTML    Acrobat PDF (306 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We consider the problem of light focusing by a high-aperture lens through a plane interface between two media with different refractive indices. We compare two recently published diffraction theories and a new geometrical optics description. The two diffraction approaches exhibit axial distributions with little difference. The description based on geometrical optics is shown to agree well with the diffraction optics results. Also, some implications for three-dimensional imaging are discussed.

© 1997 Optical Society of America

History
Original Manuscript: August 8, 1996
Manuscript Accepted: January 6, 1997
Published: July 1, 1997

Citation
S. H. Wiersma, P. Török, T. D. Visser, and P. Varga, "Comparison of different theories for focusing through a plane interface," J. Opt. Soc. Am. A 14, 1482-1490 (1997)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-14-7-1482


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. Gasper, G. C. Sherman, J. J. Stamnes, “Reflection and refraction of an arbitrary electromagnetic wave at a plane interface,” J. Opt. Soc. Am. 66, 955–961 (1976). [CrossRef]
  2. H. Ling, S.-W. Lee, “Focusing of electromagnetic waves through a dielectric interface,” J. Opt. Soc. Am. A 1, 965–973 (1984). [CrossRef]
  3. J. J. Stamnes, Waves in Focal Regions (Hilger, Bristol, UK, 1986), Chap. 16, pp. 482–500.
  4. S. Chang, J. H. Jo, S. S. Lee, “Theoretical calculations of optical force exerted on a dielectric sphere in the evanescent field generated with a totally-reflected focused Gaussian beam,” Opt. Commun. 108, 133–143 (1994). [CrossRef]
  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. (Leipzig) 30, 755–776 (1909). [CrossRef]
  8. R. K. Luneburg, Mathematical Theory of Optics, 2nd ed. (U. of California Press, Berkeley, Calif., 1964), Chap. VI, pp. 319–323.
  9. 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]
  10. 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]
  11. The name m theory was coined by Karczewski and Wolf in two papers: B. Karczewski, E. Wolf, “Comparison of three theories of electromagnetic diffraction at an aperture. Part I: Coherence matrices,” J. Opt. Soc. Am. 56, 1207–1214 (1966);“Comparison of three theories of electromagnetic diffraction at an aperture. Part II: The far field,” J. Opt. Soc. Am. 56, 1214–1219 (1966). [CrossRef]
  12. W. R. Smythe, “The double current sheet in diffraction,” Phys. Rev. 72, 1066–1070 (1947). [CrossRef]
  13. G. Toraldo di Francia, Electromagnetic Waves (Interscience, New York, 1955), Chap. 10, pp. 213–223.
  14. H. Severin, “Zur Theorie der Beugung electromagnetischer Wellen,” Z. Phys. 129, 426–439 (1951). [CrossRef]
  15. P. Török, C. J. R. Sheppard, P. Varga, “Study of evanescent waves for transmission near-field optical microscopy,” J. Mod. Opt. 43, 1167–1183 (1996). [CrossRef]
  16. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941), pp. 486–488.
  17. L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, 1995), Chap. 3, pp. 125–127.
  18. M. Born, E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1991), Chap. 3, pp. 113–117.
  19. T. D. Visser, J. L. Oud, “Volume measurements in 3-D microscopy,” Scanning 16, 198–200 (1994). [CrossRef]
  20. C. J. R. Sheppard, P. Török, “Effects of specimen refractive index on confocal imaging,” J. Microsc. 185, 366–374 (1997).
  21. P. Török, G. R. Booker, Z. Laczik, R. Falster, “A new confocal SIRM incorporating reflection, transmission and double-pass modes either with or without differential phase contrast imaging,” Inst. Phys. Conf. Ser. 134, 771–774 (1993).
  22. A. Sommerfeld, Optics (Academic, New York, 1954), Chap. V, p. 200.
  23. J. A. Stratton, L. J. Chu, “Diffraction theory of electromagnetic waves,” Phys. Rev. 56, 99–107 (1939). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited