Abstract

The transfer of excitation of luminescent ions to a random distribution of traps is revisited in the static limit, with the emphasis on the probability density function (PDF) of the decay rate. Knowledge of the PDF is advantageous for situations when the time evolution of an individual ion’s excited state differs from an exponential decay or when no closed-form solution for the ensemble average exists, because it allows one to reconstruct an ensemble average from the knowledge of the behavior of a single class of ions. A model with dipole-dipole interactions with no minimum distance leads, in the continuum limit, to an inverse gamma (IG) PDF with shape parameter α=1/2, which has infinite moments. With a minimum nearest trap distance, closed-form solutions of the moments of the actual PDF are well matched with those of a smoothly truncated IG distribution.

© 2015 Optical Society of America

Full Article  |  PDF Article
More Like This
Theory of donor fluorescence governed by discrete energy transfers between rare-earth ions in glasses

Kazuhiko Tonooka, Koji Yamada, Yousuke Kato, Tomokazu Hayakawa, and Norihiko Kamata
J. Opt. Soc. Am. B 14(4) 713-721 (1997)

Resonance energy transfer in dye molecules adsorbed two dimensionally upon aqueous suspensions of polystyrene spheres

Makoto Tomita, Kouki Totsuka, and Hiroshi Ikari
J. Opt. Soc. Am. B 16(11) 1951-1957 (1999)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (6)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (68)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription