Radiative, nonradiative, and mixed-decay transitions of rare-earth ions in dielectric media

Zeev Burshtein

doi:10.1117/1.3483907

1 September 2010 Radiative, nonradiative, and mixed-decay transitions of rare-earth ions in dielectric media

Zeev Burshtein

Author Affiliations +

Optical Engineering, Vol. 49, Issue 9, 091005 (September 2010). https://doi.org/10.1117/1.3483907

Abstract

We present and discuss in a comprehensive, deductive, and simplified manner, issues of nonradiative transitions involvement in fluorescence of ions embedded in dielectric solid matrices. The semiclassical approach is favored over a full quantum description, and empiric quantities are introduced from the start. One issue is nonradiative single-phonon transitions when the energy gap between the adjacent electronic ion states is smaller than the cutoff matrix phonon energy. Another issue is transitions in a complex energy scheme, where some visible and near-visible transitions are radiative and others are nonradiative. A refined Füchtbauer-Ladenburg recipe for calculation of the stimulated emission spectrum on the basis of measurable absorption and fluorescence emission spectra is worked out. The last issue is multiphonon nonradiative transitions occurring when the energy gap between adjacent electronic ion states is larger than the cutoff matrix phonon energy. Transition probabilities were calculated on the basis of anharmonicity of the effective potential supporting the internal atomic basis vibrations. An expression in a closed form is obtained, similar to the empiric "energy gap" law, however, with parameters related to specific host material properties and the actual transition in the ion. Comparison to existing experimental evidence is presented and discussed in detail.

©(2010) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Zeev Burshtein "Radiative, nonradiative, and mixed-decay transitions of rare-earth ions in dielectric media," Optical Engineering 49(9), 091005 (1 September 2010). https://doi.org/10.1117/1.3483907

Published: 1 September 2010

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available