Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 420782, 21 pages
Research Article

Modeling of Output Characteristics of a UV Cu+ Ne-CuBr Laser

1Department of Applied Mathematics and Modeling, University of Plovdiv, 24 Tzar Assen Street, 4000 Plovdiv, Bulgaria
2Department of Physics, Technical University of Sofia, Branch Plovdiv, 25 Tzanko Djusstabanov Street, 4000 Plovdiv, Bulgaria

Received 2 March 2012; Accepted 12 May 2012

Academic Editor: Hung Nguyen-Xuan

Copyright © 2012 Snezhana Georgieva Gocheva-Ilieva et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper examines experiment data for a Ne-CuBr UV copper ion laser excited by longitudinal pulsed discharge emitting in multiline regime. The flexible multivariate adaptive regression splines (MARSs) method has been used to develop nonparametric regression models describing the laser output power and service life of the devices. The models have been constructed as explicit functions of 9 basic input laser characteristics. The obtained models account for local nonlinearities of the relationships within the various multivariate subregions. The built best MARS models account for over 98% of data. The models are used to estimate the investigated output laser characteristics of existing UV lasers. The capabilities for using the models in predicting existing and future experiments have been demonstrated. Specific analyses have been presented comparing the models with actual experiments. The obtained results are applicable for guiding and planning the engineering experiment. The modeling methodology can be applied for a wide range of similar lasers and laser devices.