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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 27, Iss. 9 — May. 1, 1988
  • pp: 1862–1868

Modification of the focused field in a parabolic index medium by slow axial tapering

Derek Bertilone  »View Author Affiliations


Applied Optics, Vol. 27, Issue 9, pp. 1862-1868 (1988)
http://dx.doi.org/10.1364/AO.27.001862


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Abstract

We investigate the effect of slow axial tapering on the 3-D structure of the light distribution at the foci of a parabolic index medium. Our approach is based on an adiabatic local mode representation of the field and leads to simple expressions for the field distribution and intensity widths, for any taper shape provided it satisfies a slowness criterion. This slowness criterion unifies the results given here with previously published work.

© 1988 Optical Society of America

History
Original Manuscript: July 16, 1987
Published: May 1, 1988

Citation
Derek Bertilone, "Modification of the focused field in a parabolic index medium by slow axial tapering," Appl. Opt. 27, 1862-1868 (1988)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-27-9-1862


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References

  1. E. W. Marchand, Gradient Index Optics (Academic, New York, 1978).
  2. A. L. Mikaelian, “Self-Focusing Media with Variable Index of Refraction,” Prog. Opt. 17, 279 (1980). [CrossRef]
  3. K. Iga, Y. Kokubun, M. Oikawa, Fundamentals of Micro-Optics (Academic, New York, 1984).
  4. A. Yariv, “Transmission and Recovery of Three-Dimensional Image Information in Optical Waveguides,” J. Opt. Soc. Am. 66, 301 (1976). [CrossRef]
  5. A. A. Friesem, U. Levy, Y. Silberberg, “Parallel Transmission of Images Through Single Optical Fibers,” Proc. IEEE 71, 208 (1983). [CrossRef]
  6. K. Iga, “Theory for Gradient-Index Imaging,” Appl. Opt. 19, 1039 (1980). [CrossRef] [PubMed]
  7. D. Bertilone, “Light Distribution in the Focal Regions of a Lens in a Parabolic Index Medium,” Appl. Opt. 26, 306 (1987). [CrossRef] [PubMed]
  8. C. Gomez-Reino, E. Larrea, “Imaging and Transforming Transmission Through a Medium with Nonrotation-Symmetric Gradient Index,” Appl. Opt. 22, 387 (1983). [CrossRef] [PubMed]
  9. C. Gomez-Reino, E. Larrea, M. V. Perez, J. M. Cuadrado, “Transmittance Function and Modal Propagation in a Conical Gradient-Index Rod,” Appl. Opt. 23, 1107 (1984). [CrossRef] [PubMed]
  10. C. Gomez-Reino, M. V. Perez, J. Sochacki, M. Sochacka, “Image and Transform Transmission Through Divergent Conical GRIN Rods,” Opt. Commun. 55, 5 (1985). [CrossRef]
  11. C. Gomez-Reino, M. V. Perez, J. Sochacki, M. Sochacka, “Image and Transform Transmission Through Divergent Parabolical GRIN Rods,” Opt. Commun. 55, 8 (1985). [CrossRef]
  12. C. Gomez-Reino, J. Sochacki, “Imaging and Transforming Capabilities of GRIN Rods with Noncylindrical Surfaces of Constant Index: a Family of Exact Solutions,” Appl. Opt. 24, 4375 (1985). [CrossRef] [PubMed]
  13. C. Gomez-Reino, E. Larrea, M. V. Perez, J. M. Cuadrado, “Imaging, Transforming, and Modal Propagation in a Parabolic Gradient-Index Rod,” Appl. Opt. 24, 4379 (1985). [CrossRef] [PubMed]
  14. C. Gomez-Reino, J. Linares, J. Sochacki, “Image and Transform Transmission Through a GRIN Rod with Exponential Variation of the Equi-Index Surfaces,” Appl. Opt. 25, 1076 (1986). [CrossRef] [PubMed]
  15. C. Gomez-Reino, J. Linares, E. Larrea, “Imaging and Transforming Transmission Through Tapered Gradient-Index Rods: Analytical Solutions,” J. Opt. Soc. Am. A 3, 1604 (1986). [CrossRef]
  16. A. W. Synder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983).
  17. D. Bertilone, A. Ankiewicz, C. Pask, “Wave Propagation in a Graded-Index Taper,” Appl. Opt. 26, 2213 (1987). [CrossRef] [PubMed]
  18. A. Erdelyi, Ed., Higher Transcendental Functions, Vol. 2, Bateman Manuscript Project (McGraw-Hill, New York, 1953).
  19. M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1959).
  20. A. Ankiewicz, C. Pask, A. W. Snyder, “Slowly Varying Optical Fibers,” J. Opt. Soc. Am. 72, 198 (1982). [CrossRef]
  21. D. M. Milder, “Ray and Wave Invariants for SOFAR Channel Propagation,” J. Acoust. Soc. Am. 46, 1259 (1969). [CrossRef]
  22. M. Abramowitz, I. A. Stegun, Eds., Handbook of Mathematical Functions (Dover, New York, 1972).
  23. C. Gomez-Reino, M. V. Perez, E. Larrea, “Imaging and Transforming Transmission Through Inhomogeneous Media with Revolution Symmetry,” Opt. Commun. 44, 8 (1982). [CrossRef]
  24. C. Gomez-Reino, E. Larrea, “Pupil Effect in GRIN Material,” Appl. Opt. 22, 970 (1983). [CrossRef] [PubMed]

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