Abstract
It is popular to use multiple single exponential equations to simulate an afterglow decay curve from experimental tests. This chapter shows methods to check generated models, including an examination of the definition for associated parameters used in equations, quotes of physical properties for experimental data, and views profiles of individual components. To solve multiple exponential equations, we transform non-linear equations into linear forms and propose a scheme to search for an appropriate solution. Examples cited from various resources are provided to demonstrate the validity of the five guide lines proposed in this chapter. Several unsolved problems in simulation are also indicated and discussed.
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References
Zhao, Z., Wang, Y.: The synthesis and afterglow luminescence properties of a novel red afterglow phosphor: ZrO2: Sm3+, Sn 4+”. J. Lumin. 132, 2842–2846 (2012)
Chang, C., Li, W., Huang, X., et al.: Photoluminescence and afterglow behavior of Eu 2+, Dy 3+ and Eu 3+, Dy 3+ in Sr3Al2O6 matrix. J. Lumin. 130, 347–350 (2010)
Huang, P., Zhang, Q., Cui, C., Li, J.: Influence of excitation wavelengths on luminescent properties of Sr3Al2O6: Eu2+, Dy3+ Phosphors prepared by sol-gel-combustion processing. Opt. Mater. 33, 1252–1257 (2011)
Sharma, S.K., Pitale, S.S., Malik, M.M., et al.: Spectral and defect analysis of Cu-doped combustion synthesized new SrAl4O7 phosphor. J. Lumin. 130, 240–248 (2010)
Sharma, S.K., Pitale, S.S., Malik, M.M., et al.: Luminescence studies on the blue-green emitting Sr4Al14O25: Ce 3+phosphor synthesized through solution combustion route. J. Lumin. 129, 140–147 (2009)
Yuan, S., Yang, Y., Fang, B., Chen, G.: Effects of doping ions on afterglow properties of Y2O2 S: Eu phosphors. Opt. Mater. 30, 535–538 (2007)
Holmstrom, K., Petersson, J.: A review of the parameter estimation problem of fitting positive exponential sums to empirical data. Appl. Math. Comput. 126, 31–61 (2002)
Jukie, D., Scitovski, R.: Existence of optimal solution for exponential model by least squares. J. Comput. Appl. Math. 78, 317–328 (1997)
Chapman, S.J.: Fortran 95/2003 for Scientists and Engineers, 3rd edn. McGraw-Hill, New York (2007)
Kumar, V., Pitale, S.S., Mishra, V., et al.: Luminescence investigations of Ce3+ doped CaS nanophosphors. J. Alloy. Compd. 492, L8–L12 (2010)
Yadav, P.J., Joshi, C.P., Moharil, S.V.: Persistent luminescence in Ca8Zn(Sio4)4Cl2:Eu2+”. J. Lumin. 1332, 2799–2801 (2012)
Paulose, P.I., Joseph, J., Warrier, M.R., et al.: Relaxation kinetics of Sm: Ce-doped CaS phosphors. J. Lumin. 127, 583–588 (2007)
Wu, H., Hu, Y., Kang, F., et al.: Observation on long afterglow of Tb3+ in CaWO4. Mater. Res. Bull. 46, 2489–2493 (2011)
Acknowledgements
The work described in this chapter consists of part of research projects sponsored by the National Science Council, Taiwan, R.O.C. as NSC101-2221-E-035-023, and NSC102-2221-E-035-049 whose support are greatly appreciated.
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Huang, YP., Tsai, CY., Huang, YC. (2014). Mathematical Modeling of Afterglow Decay Curves. In: Öchsner, A., Altenbach, H. (eds) Design and Computation of Modern Engineering Materials. Advanced Structured Materials, vol 54. Springer, Cham. https://doi.org/10.1007/978-3-319-07383-5_21
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DOI: https://doi.org/10.1007/978-3-319-07383-5_21
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