Multivariate Statistical Analysis in Planning Experiments for a New Strontium Bromide Vapour Laser

Abstract

The subject of investigation is a SrBr 2 laser generating at a wavelength λ = 6.45 µm. This type of laser generation is finding ever wider application in medicine when working with soft and bone tissue providing rapid subsequent recovery. Of all laser sources generating at this wavelength, the new SrBr 2 laser is gaining ever more ground due to its advantages and is therefore of commercial interest. With the goal of developing new, higher-powered SrBr 2 lasers, in this paper, the so-called phenomenological modeling has been used for the first time for this type of laser. An estimation of the degree of influence of 7 independent input laser quantities on laser output power has been performed using factor and regression analysis. A methodology has been developed with the help of which a series of new SrBr 2 lasers with higher output power than existing ones has been predicted. Problems related to the planning of the experiment have been partially solved -carrying out of filtering and extremal experiment.

Temperature Model of a New High-powered SrBr[sub 2] Laser

“…This way we obtain problem (1)- (2), which can be solved by applying the exact formula (3), for a given v q . The different model distributions of the function of volume power density ( ) v q r , which have been used so far, practically provide identical descriptions of the temperature distribution along the cross-section of the tube, with the relative error at the center not exceeding 3% [5]. For this reason, we are going to use the distribution of ( ) v q r as a third order curve in the form 2 …”

“…In order to determine the temperature profile we are going to apply the previously developed model in [5]. For this reason, here, the model will be described in brief.…”

“…The quantity Q is the heat flux equal to the effective input electric power, in accordance with assumption 3*), l q is the power per unit length, / When the temperature of the quartz tube 4 T (under insulation) is known, from the first equation in (4) we can determine the temperature 3 T . The temperature 2 T is calculated from the nonlinear equation (5) and is substituted in the second equation in (4) to find 1 T . This way we obtain problem (1)- (2), which can be solved by applying the exact formula (3), for a given v q .…”

“…Along with the experimental development of new 2 SrBr vapor laser sources, mathematical models are being developed in order to determine the temperature profile in the laser tube [4,5]. This is studied in more detail in [5].…”

“…This paper further develops the mathematical model, obtained in [5]. The radial temperature profile of the cross-section of the tube, and more specifically the temperature of the gas within the active medium, is calculated at varying operating characteristics of the laser.…”