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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 23 — Nov. 5, 2012
  • pp: 25613–25623

Saturation of radiation trapping and lifetime measurements in three-level laser crystals

Ching-Hsu Chen, Yue-Heng Wu, Cheng-Ping Fan, and Tai-Hei Wei  »View Author Affiliations

Optics Express, Vol. 20, Issue 23, pp. 25613-25623 (2012)

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In this study, we take the pump rate into consideration for the first time to give a theoretical description of radiation trapping in three-level systems. We numerically verify that under strong pumping, the population of the ground state is depleted, which leads to saturation of the radiation trapping within the pumped region. This saturation inevitably clamps the lifetime lengthening that is experimentally verified on a 0.05 at% thin ruby crystal based on the axial pinhole method. Our model is confirmed to be valid in lifetime measurement when the ruby fluorescence is collected from both the pumped and the unpumped regions.

© 2012 OSA

OCIS Codes
(000.6800) General : Theoretical physics
(120.4290) Instrumentation, measurement, and metrology : Nondestructive testing
(160.3380) Materials : Laser materials
(260.2510) Physical optics : Fluorescence

ToC Category:
Atomic and Molecular Physics

Original Manuscript: September 13, 2012
Revised Manuscript: October 22, 2012
Manuscript Accepted: October 23, 2012
Published: October 26, 2012

Ching-Hsu Chen, Yue-Heng Wu, Cheng-Ping Fan, and Tai-Hei Wei, "Saturation of radiation trapping and lifetime measurements in three-level laser crystals," Opt. Express 20, 25613-25623 (2012)

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  1. E. A. Milne, “The diffusion of imprisoned radiation through a gas,” J. Lond. Math. Soc.1(1), 40–51 (1926). [CrossRef]
  2. T. Holstein, “Imprisonment of resonance radiation in gases,” Phys. Rev.72(12), 1212–1233 (1947). [CrossRef]
  3. S. Guy, “Modelization of lifetime measurement in the presence of radiation trapping in solid-state materials,” Phys. Rev. B73(14), 144101 (2006). [CrossRef]
  4. H. Kühn, S. T. Fredrich-Thornton, C. Kränkel, R. Peters, and K. Petermann, “Model for the calculation of radiation trapping and description of the pinhole method,” Opt. Lett.32(13), 1908–1910 (2007). [CrossRef] [PubMed]
  5. G. Toci, “Lifetime measurements with the pinhole method in presence of radiation trapping: I-theoretical model,” Appl. Phys. B106(1), 63–71 (2012). [CrossRef]
  6. T. H. Maiman, “Optical and microwave-optical experiments in ruby,” Phys. Rev. Lett.4(11), 564–566 (1960). [CrossRef]
  7. W. A. Shurcliff and R. C. Jones, “The trapping of fluorescence light produced within objects of high geometrical symmetry,” J. Opt. Soc. Am.39(11), 912–916 (1949). [CrossRef]
  8. N. P. Barnes and B. M. Walsh, “Amplified spontaneous emission-application to Nd:YAG lasers,” IEEE J. Quantum Electron.35(1), 101–109 (1999). [CrossRef]
  9. M. E. Innocenzi, H. T. Yura, C. L. Fincher, and R. A. Fields, “Thermal modeling of continuous-wave end-pumped solid-state lasers,” Appl. Phys. Lett.56(19), 1831–1833 (1990). [CrossRef]
  10. Z. Zhang, K. T. V. Grattan, and A. W. Palmer, “Temperature dependences of fluorescence lifetimes in Cr3+-doped insulating crystals,” Phys. Rev. B Condens. Matter48(11), 7772–7778 (1993). [CrossRef] [PubMed]
  11. W. Li, H. Pan, L. Ding, H. Zeng, W. Lu, G. Zhao, C. Yan, L. Su, and J. Xu, “Efficient diode-pumped Yb:Gd2SiO5 laser,” Appl. Phys. Lett.88(22), 221117 (2006). [CrossRef]

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