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Comparison of Analytical modeling and Numerical modeling of the role of Reverse Parameter using Differential Geometry in Differential rate Equations of Tm-doped tellurite 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
10.5120/ijais2018451741
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  1. Wedad Albalawi and Ali Albalawi. Comparison of Analytical modeling and Numerical modeling of the role of Reverse Parameter using Differential Geometry in Differential rate Equations of Tm-doped tellurite Material. International Journal of Applied Information Systems 12(11):20-25, February 2018. URL, DOI BibTeX

    @article{10.5120/ijais2018451741,
    	author = "Wedad Albalawi and Ali Albalawi",
    	title = "Comparison of Analytical modeling and Numerical modeling of the role of Reverse Parameter using Differential Geometry in Differential rate Equations of Tm-doped tellurite Material",
    	journal = "International Journal of Applied Information Systems",
    	issue_date = "February 2018",
    	volume = 12,
    	number = 11,
    	month = "Feb",
    	year = 2018,
    	issn = "2249-0868",
    	pages = "20-25",
    	url = "http://www.ijais.org/archives/volume12/number11/1022-2018451741",
    	doi = "10.5120/ijais2018451741",
    	publisher = "Foundation of Computer Science (FCS), NY, USA",
    	address = "New York, USA"
    }
    

Abstract

This paper analytical and numerical investigates the reverse cross relaxation parameter in differential rate equations of Tm-doped tellurite material using differential geometry principles with different dopant concentrations. The comparison between analytical simulation and numerical simulation indicates that there is difference in calculations in case of neglect the reverse cross relaxation parameters in analytical modeling compared with the simulation which respects reverse cross relaxation parameter in numerical modeling. The difference is calculated for a set of samples with concentration level variations by a factor of 30 (0.36 mol% to 10 mol%). This paper shows also the impact of neglect the reverse cross relaxation parameter on the population of Tm-doped tellurite material. It indicates that the role of reverse crosses relaxation impacts according to pump intensity and energy level and it have a significant effect on the simulation of laser and amplifier devices.

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Keywords

Thulium-doped material, Differential rate equations, Pump power, reverse cross relaxation parameter, Cross-relaxation