Excited state absorption and energy transfer in Ho³⁺-doped indium fluoride glass

Laercio Gomes, Vincent Fortin, Martin Bernier, Frédéric Maes, Réal Vallée, Samuel Poulain, Marcel Poulain, Stuart D. Jackson

Research output: Contribution to journalArticleResearchpeer-review

Abstract

This investigation examines in detail the rates of energy transfer relevant to the ⁵I₅ → ⁵I₆ transition (at 3930 nm) in Ho³⁺-doped InF₃ glass as a function of the Ho³+ concentration. The decay times, branching ratios and rate parameters for energy transfer were measured in this investigation for Ho³⁺ (x)-doped InF₃ glass with x = 2, 4 and 10 mol.% and they were used as the input parameters for a rate equation analysis. Excited state absorption (ESA) initiating from the lower laser level is included in the study. Numerical simulation of CW laser emission at 3.9 μm was performed using two pump wavelengths, one for upper laser level excitation (i.e., ⁵I₈ → ⁵I₅ = λP₁) and the other for lower laser level de-excitation (i.e., ⁵I₆ → ⁵S₂ = λp₂). The pump wavelength λP₂ = 962 nm was chosen based on the measurements of ESA and the application of the McCumber method. Critically, the estimated ESA cross section at λp₂ = 962 nm (σESA = 7.1 × 10⁻²¹ cm²) is approximately sixteen times larger than ground state (⁵I₈) absorption cross section (σGSA = 4.3 × 10⁻²² cm²) and ESA does not overlap with any ground state absorption process. Our calculations suggest that even for high Ho³⁺ concentration in which cross relaxation has been shown in a previous study to quench the ⁵I₅ level, ESA is nevertheless strong enough to allow a sufficient population inversion required for practical CW emission.
LanguageEnglish
Pages519-526
Number of pages8
JournalOptical Materials
Volume66
DOIs
Publication statusPublished - 1 Apr 2017

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Indium
Fluorides
Excited states
Energy transfer
indium
fluorides
energy transfer
Glass
glass
excitation
Ground state
Lasers
Pumps
absorption cross sections
lasers
Wavelength
Continuous wave lasers
pumps
cross relaxation
ground state

Cite this

Gomes, Laercio ; Fortin, Vincent ; Bernier, Martin ; Maes, Frédéric ; Vallée, Réal ; Poulain, Samuel ; Poulain, Marcel ; Jackson, Stuart D. / Excited state absorption and energy transfer in Ho³⁺-doped indium fluoride glass. In: Optical Materials. 2017 ; Vol. 66. pp. 519-526.
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title = "Excited state absorption and energy transfer in Ho³⁺-doped indium fluoride glass",
abstract = "This investigation examines in detail the rates of energy transfer relevant to the ⁵I₅ → ⁵I₆ transition (at 3930 nm) in Ho³⁺-doped InF₃ glass as a function of the Ho³+ concentration. The decay times, branching ratios and rate parameters for energy transfer were measured in this investigation for Ho³⁺ (x)-doped InF₃ glass with x = 2, 4 and 10 mol.{\%} and they were used as the input parameters for a rate equation analysis. Excited state absorption (ESA) initiating from the lower laser level is included in the study. Numerical simulation of CW laser emission at 3.9 μm was performed using two pump wavelengths, one for upper laser level excitation (i.e., ⁵I₈ → ⁵I₅ = λP₁) and the other for lower laser level de-excitation (i.e., ⁵I₆ → ⁵S₂ = λp₂). The pump wavelength λP₂ = 962 nm was chosen based on the measurements of ESA and the application of the McCumber method. Critically, the estimated ESA cross section at λp₂ = 962 nm (σESA = 7.1 × 10⁻²¹ cm²) is approximately sixteen times larger than ground state (⁵I₈) absorption cross section (σGSA = 4.3 × 10⁻²² cm²) and ESA does not overlap with any ground state absorption process. Our calculations suggest that even for high Ho³⁺ concentration in which cross relaxation has been shown in a previous study to quench the ⁵I₅ level, ESA is nevertheless strong enough to allow a sufficient population inversion required for practical CW emission.",
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Gomes, L, Fortin, V, Bernier, M, Maes, F, Vallée, R, Poulain, S, Poulain, M & Jackson, SD 2017, 'Excited state absorption and energy transfer in Ho³⁺-doped indium fluoride glass', Optical Materials, vol. 66, pp. 519-526. https://doi.org/10.1016/j.optmat.2017.02.048

Excited state absorption and energy transfer in Ho³⁺-doped indium fluoride glass. / Gomes, Laercio; Fortin, Vincent; Bernier, Martin; Maes, Frédéric; Vallée, Réal; Poulain, Samuel; Poulain, Marcel; Jackson, Stuart D.

In: Optical Materials, Vol. 66, 01.04.2017, p. 519-526.

Research output: Contribution to journalArticleResearchpeer-review

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T1 - Excited state absorption and energy transfer in Ho³⁺-doped indium fluoride glass

AU - Gomes, Laercio

AU - Fortin, Vincent

AU - Bernier, Martin

AU - Maes, Frédéric

AU - Vallée, Réal

AU - Poulain, Samuel

AU - Poulain, Marcel

AU - Jackson, Stuart D.

PY - 2017/4/1

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N2 - This investigation examines in detail the rates of energy transfer relevant to the ⁵I₅ → ⁵I₆ transition (at 3930 nm) in Ho³⁺-doped InF₃ glass as a function of the Ho³+ concentration. The decay times, branching ratios and rate parameters for energy transfer were measured in this investigation for Ho³⁺ (x)-doped InF₃ glass with x = 2, 4 and 10 mol.% and they were used as the input parameters for a rate equation analysis. Excited state absorption (ESA) initiating from the lower laser level is included in the study. Numerical simulation of CW laser emission at 3.9 μm was performed using two pump wavelengths, one for upper laser level excitation (i.e., ⁵I₈ → ⁵I₅ = λP₁) and the other for lower laser level de-excitation (i.e., ⁵I₆ → ⁵S₂ = λp₂). The pump wavelength λP₂ = 962 nm was chosen based on the measurements of ESA and the application of the McCumber method. Critically, the estimated ESA cross section at λp₂ = 962 nm (σESA = 7.1 × 10⁻²¹ cm²) is approximately sixteen times larger than ground state (⁵I₈) absorption cross section (σGSA = 4.3 × 10⁻²² cm²) and ESA does not overlap with any ground state absorption process. Our calculations suggest that even for high Ho³⁺ concentration in which cross relaxation has been shown in a previous study to quench the ⁵I₅ level, ESA is nevertheless strong enough to allow a sufficient population inversion required for practical CW emission.

AB - This investigation examines in detail the rates of energy transfer relevant to the ⁵I₅ → ⁵I₆ transition (at 3930 nm) in Ho³⁺-doped InF₃ glass as a function of the Ho³+ concentration. The decay times, branching ratios and rate parameters for energy transfer were measured in this investigation for Ho³⁺ (x)-doped InF₃ glass with x = 2, 4 and 10 mol.% and they were used as the input parameters for a rate equation analysis. Excited state absorption (ESA) initiating from the lower laser level is included in the study. Numerical simulation of CW laser emission at 3.9 μm was performed using two pump wavelengths, one for upper laser level excitation (i.e., ⁵I₈ → ⁵I₅ = λP₁) and the other for lower laser level de-excitation (i.e., ⁵I₆ → ⁵S₂ = λp₂). The pump wavelength λP₂ = 962 nm was chosen based on the measurements of ESA and the application of the McCumber method. Critically, the estimated ESA cross section at λp₂ = 962 nm (σESA = 7.1 × 10⁻²¹ cm²) is approximately sixteen times larger than ground state (⁵I₈) absorption cross section (σGSA = 4.3 × 10⁻²² cm²) and ESA does not overlap with any ground state absorption process. Our calculations suggest that even for high Ho³⁺ concentration in which cross relaxation has been shown in a previous study to quench the ⁵I₅ level, ESA is nevertheless strong enough to allow a sufficient population inversion required for practical CW emission.

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