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Numerical Modeling of the Role of Reverse Parameter in a range of Population Inversions of Differential rate Equations of Tm-doped Material

Wedad Albalawi, Ali Albalawi in Applied Sciences

International Journal of Applied Information Systems
Year of Publication: 2018
Publisher: Foundation of Computer Science (FCS), NY, USA
Authors:Wedad Albalawi, Ali Albalawi
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  1. Wedad Albalawi and Ali Albalawi. Numerical Modeling of the Role of Reverse Parameter in a range of Population Inversions of Differential rate Equations of Tm-doped Material. International Journal of Applied Information Systems 12(11):16-19, February 2018. URL, DOI BibTeX

    	author = "Wedad Albalawi and Ali Albalawi",
    	title = "Numerical Modeling of the Role of Reverse Parameter in a range of Population Inversions of Differential rate Equations of Tm-doped Material",
    	journal = "International Journal of Applied Information Systems",
    	issue_date = "February 2018",
    	volume = 12,
    	number = 11,
    	month = "Feb",
    	year = 2018,
    	issn = "2249-0868",
    	pages = "16-19",
    	url = "",
    	doi = "10.5120/ijais2018451740",
    	publisher = "Foundation of Computer Science (FCS), NY, USA",
    	address = "New York, USA"


This paper numerical investigates the impact of reverse cross relaxation parameter on the pump efficiency using differential geometry of rate equations of thulium-doped (Tm-doped) tellurite material by examine certain reverse cross-relaxation processes, relating to series of population inversions. The primary aim of this research is to obtain a set of data that assists in predicting material performance in relation to a number of instances of the reverse cross-relaxation parameter to determine the optimum value of reverse cross- relaxation parameter. It is pointed out that a deep examination of the reverse cross-relaxation process (3F4,3F4,?3H6,3H4) was not available with the available data. The study demonstrates that reverse cross-relaxation may influence the pump efficiency of Tm-doped tellurite material. Therefore the research provides a set of parameters enabling evaluation of the reverse cross-relaxation process, thus illustrating how this process affects pump efficiency during a range of population inversions within differential geometry principle (0-50% in this study). The findings indicate that appropriate measurements of reverse cross-relaxation parameter may have a considerable effect on simulations for laser and amplifier devices. Moreover, the research shows that measurements of reverse cross-relaxation parameter for different glass types can facilitate identification of an appropriate host for various applications.


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Differential rate equations, Thulium-doped material, Pumping efficiency, Pump power, Reverse cross relaxation parameter, Cross-relaxation process, Population inversion