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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. 17, Iss. 5 — May. 1, 2000
  • pp: 933–936

Molecular fluorescence in the vicinity of a gradient-index medium

Robert L. Hartman, P. T. Leung, and Scott M. Cohen  »View Author Affiliations


JOSA A, Vol. 17, Issue 5, pp. 933-936 (2000)
http://dx.doi.org/10.1364/JOSAA.17.000933


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Abstract

The problem of molecular fluorescence in the vicinity of a gradient-index medium is studied theoretically through classical modeling of a radiating dipole. A previously developed formulation involving the Green dyadic for an inhomogeneous medium is applied to the present problem. Normalized lifetimes for the admolecules are calculated and compared with those for a homogeneous medium. The results are illustrated by numerical examples assuming certain simple forms for the index profile.

© 2000 Optical Society of America

OCIS Codes
(110.2760) Imaging systems : Gradient-index lenses
(240.0240) Optics at surfaces : Optics at surfaces
(240.0310) Optics at surfaces : Thin films
(260.2510) Physical optics : Fluorescence
(300.6280) Spectroscopy : Spectroscopy, fluorescence and luminescence
(300.6490) Spectroscopy : Spectroscopy, surface

History
Original Manuscript: July 1, 1999
Revised Manuscript: December 14, 1999
Manuscript Accepted: January 13, 2000
Published: May 1, 2000

Citation
Robert L. Hartman, P. T. Leung, and Scott M. Cohen, "Molecular fluorescence in the vicinity of a gradient-index medium," J. Opt. Soc. Am. A 17, 933-936 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-5-933


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References

  1. See A. Sommerfeld, Partial Differential Equations in Physics (Academic, New York, 1949), p. 236; originally published in Ann. Phys. (Leipzig) 28, 665 (1909).
  2. R. R. Chance, A. Prock, R. Silbey, “Molecular fluorescence and energy transfer near interfaces,” Adv. Chem. Phys. 37, 1–65 (1978), and references therein.
  3. D. G. Deppe, C. Lei, “Spontaneous emission from a dipole in a semiconductor microcavity,” J. Appl. Phys. 70, 3443–3448 (1991). [CrossRef]
  4. W. L. Blacke, P. T. Leung, “Molecular fluorescence at a rough surface: the orientation effects,” Phys. Rev. B 56, 12625–12631 (1997), and references therein. [CrossRef]
  5. P. T. Leung, T. F. George, “Molecular fluorescence spectroscopy in the vicinity of a microstructure,” J. Chim. Phys. (France) 92, 226–247 (1995), and references therein.
  6. E. W. Marchand, Gradient Index Optics (Academic, New York, 1978).
  7. R. Jacobsson, “Optical properties of a class of inhomogeneous thin films,” Opt. Acta 10, 309–323 (1963); also in Physics of Thin Films (Academic, New York, 1975), Vol. 8, pp. 51–98. [CrossRef]
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  10. R. Srivastava, C. K. Kao, R. V. Ramaswamy, “WKB analysis of planar surface waveguides with truncated index profiles,” J. Lightwave Technol. LT-5, 1605–1608 (1987). [CrossRef]
  11. R. L. Hartman, “Green dyadic calculations for inhomogeneous optical media,” J. Opt. Soc. Am. A (to be published).
  12. For modeling molecular fluorescence with nonlocal dielectric response from the substrate surface, see, e.g., P. T. Leung, “Decay of molecules at spherical surfaces: nonlocal effects,” Phys. Rev. B 42, 7622–7625 (1990); P. T. Leung, M. H. Hider, “Nonlocal electrodynamic modeling of frequency shifts for molecules at rough metal surfaces,” J. Chem. Phys. 98, 5019–5022 (1993). [CrossRef]
  13. R. L. Hartman, S. M. Cohen, P. T. Leung, “A note on the Green dyadic calculation of the decay rates for admolecules at multiple planar interfaces,” J. Chem. Phys. 110, 2189–2194 (1999). [CrossRef]

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