Abstract

We have derived analytic expressions for the angular distribution of light emitted by an atomic system, e.g., a fluorescent molecule, located in a dielectric medium 1 at distance <i>z</i><sub>0</sub> from the interfaceto a different dielectric medium 2. The theory is rigorously valid for electric and magnetic dipole transitions with arbitrary orientation of the dipole transition moment. (In Paper II [J. Opt. Soc. Am. 57, 1615–1619 (1977)], only the special case of dipoles oriented perpendicular to the interface had been treated.) The radiation patterns of dipoles located on the interface (<i>z</i><sub>0</sub> = 0) and oriented parallelto it, and ensembles of such dipoles radiating incoherently with randomly oriented dipole moments were examined in particular. They differ greatly from the corresponding well-known dipole radiation patterns in an unbounded medium 1, due to the wide-angle interferences of emitted plane waves, and radiation from evanescent waves in the dipole’s near field into medium 2, if this is denser than medium 1.

© 1979 Optical Society of America

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  1. W. Lukosz and R. E. Kunz, "Light emission by magnetic and electric dipoles close to a plane interface. I. Total radiated power," J. Opt. Soc. Am. 67, 1607–1615 (1977).
  2. W. Lukosz and R. E. Kunz, "Light emission by magnetic and electric dipoles close to a plane dielectric interface. II. Radiation patterns of perpendicular oriented dipoles," J. Opt. Soc. Am. 67, 1615–1619 (1977).
  3. References 1 and 2 contain lists of references to related experimental and theoretical work.
  4. We emphasize that the following of our results remain valid with appropriate reflection coefficients [equation] even if medium 2 is absorbing and/or is not homogeneous but planar stratified in the z direction: in Paper (I) Eqs. (3.12)–(3.17) for the normalized total radiated power and, in this Paper expressions (3.21) and (3.22) for the radiation patterns in medium 1.

1977 (2)

J. Opt. Soc. Am. (2)

Other (2)

References 1 and 2 contain lists of references to related experimental and theoretical work.

We emphasize that the following of our results remain valid with appropriate reflection coefficients [equation] even if medium 2 is absorbing and/or is not homogeneous but planar stratified in the z direction: in Paper (I) Eqs. (3.12)–(3.17) for the normalized total radiated power and, in this Paper expressions (3.21) and (3.22) for the radiation patterns in medium 1.

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