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Determining Upconversion Parameters and Invertibility of Nonlinear Dynamical Systems

Published online by Cambridge University Press:  23 February 2015

Makhin Thitsa  and
Thanh Q. Ta
Makhin Thitsa
Affiliation:
Department of Electrical and Computer Engineering, Mercer University Macon, GA 31207, U.S.A.
Thanh Q. Ta
Affiliation:
Department of Electrical and Computer Engineering, Mercer University Macon, GA 31207, U.S.A.
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Abstract

Determining upconversion parameters is of high interest in laser material development. For many materials these parameters cannot be directly measured by experimental methods. These upconversion coefficients appear as unknown parameters in the laser rate equations, which are a system of coupled nonlinear differential equations that are used to model the dynamics of population densities in different energy levels. In this paper we propose the well-established system theoretic tools pertaining to the system inversion to be applied in this case. The unknown parameters can be considered as the inputs and the fluorescence signals can be considered as the outputs of the dynamical system. Therefore the determination of the unknown upconversion rates in the system equations from the output data is a classical system inversion problem. In this paper we demonstrate how to compute the unknown coefficients in the rate equations from the experimental emission data utilizing this method.

Keywords

lasersimulationEr
Type
Articles
Information
MRS Online Proceedings Library (OPL) , Volume 1753: Symposium NN – Mathematical and Computational Aspects of Materials Science , 2015 , mrsf14-1753-nn08-18
Copyright
Copyright © Materials Research Society 2015 

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References

REFERENCES

Maciel, G. S., Araujo, C. B., Messaddeq, Y. and Aegerter, M. A., Phys. Rev. B, 55, 6335(1997).CrossRefGoogle Scholar
Newburgh, G. A., Sanamyan, T., and Dubinskii, M., SPIE Defense and Security Symposium, Orlando, FL, April 2009.Google Scholar
Isidori, A., Nonlinear Control Systems, 3rd Ed., Springer-Verlag, London (1995).CrossRefGoogle Scholar