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The experimental results of the power-related frequency shift of an iodine-stabilized He-Ne laser with two methods of power variation: misalignment of the laser cavity and change of the polarization orientation between iodine cell and gain tube are reported. A small-power internal-mirror He-Ne laser PLL offset-locked to an iodine-stabilized He-Ne laser was used as the reference laser. The data were processed following three methods: the standard matrix method, the diagonal method and the reference line method. All three methods gave compatible result, but the diagonal method is taking advantage of collecting fewer data and being faster. Significant differences appeared among values of power-related frequency shifts, if the method of power variation was different, no matter the group of hfs components or method of data processing under consideration. For the same group of hfs components, deviations of less than 1 kHz may exist between frequency shifts computed by using the above mentioned methods of data processing, while the deviations between the frequency shifts calculated at the same power level do not exceed 2 kHz. This is regardless of groups of hfs components. BY contrary, differences up to about 14 kHz for a given group of hfs components were observed if the method used to get the power variation was different.
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