1993
DOI: 10.1103/physrevb.48.10031
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Model of the photon-avalanche effect

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Cited by 165 publications
(92 citation statements)
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“…In Er 3+ ions doped semiconductor there occurs a series of non-radiative and radiative decay mechanism which results in generation of photons having energy lower than the excitation photon. 18,19 Er 3+ ion acts as a good activator for solid state laser in IR and visible region because of its characteristics of abundant energy level structure. The low phonon energy and proper oxygen coordination around Er 3+ ions make ZnO suitable for upconversion luminescence process.…”
Section: Introductionmentioning
confidence: 99%
“…In Er 3+ ions doped semiconductor there occurs a series of non-radiative and radiative decay mechanism which results in generation of photons having energy lower than the excitation photon. 18,19 Er 3+ ion acts as a good activator for solid state laser in IR and visible region because of its characteristics of abundant energy level structure. The low phonon energy and proper oxygen coordination around Er 3+ ions make ZnO suitable for upconversion luminescence process.…”
Section: Introductionmentioning
confidence: 99%
“…The increase in upconversion luminescence is very important for the application of nanoparticles. Similar phenomena of bulk of other materials were observed [17][18][19][20]. The mechanism of photon-avalanche would be the followings; Three-photon process of the upconversion luminescence would occur as shown in Fig.…”
Section: Resultsmentioning
confidence: 60%
“…In general, the upconversion intensity is weak. Previously photon-avalanche effect of bulk upconversion material was reported, which increased upconversion intensity significantly [17][18][19][20]. The photon-avalanche effect of bulk upconversion nanoparticles Y 2 O 3 :Er,Yb was investigated hereby.…”
Section: Introductionmentioning
confidence: 99%
“…1. Ιn the steady state, the corresponding rate equations are [10,12] where W1 and W2 are the pumping rates from level 1 to level 2 and from level 2 to level 3, respectively, rij is the total relaxation rate from level i to level j for Steady State Analysis of Photon Avalanche Effect 199 the isolated ion and α is the cross-relaxation rate connecting levels 1 and 3 to the intermediate one. pi is the level i occupation probability.…”
Section: The Three-level Modelmentioning
confidence: 99%
“…These particular behaviors will be detailed by F. Auzel in this conference. Several papers are devoted to the study of the avalanche effect [3][4][5][6][7][8][9] and models including three or four levels and based on rate equations have been proposed and analyzed using several methods [4,6,[9][10][11][12]. However until now, no quantitative and meaningful limit between avalancle and non-avalanche behavior has been defined.…”
Section: Introductionmentioning
confidence: 99%