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Laser beam quality and pointing measurement with an optical resonator
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Image of FIG. 1.
FIG. 1.

(Color online) Schematic overview of the experimental setup. Details of the purpose of the components are given in the text. resonator; photodiode; ; density filter; camera; with piezoelectric elements.

Image of FIG. 2.
FIG. 2.

(Color online) Modescan of a test beam. The measurement and fit of are shown. Further details of the marked modes are given in Figs. 3 and 4.

Image of FIG. 3.
FIG. 3.

(Color online) Relative power of the identified higher modes. A fit was calculated to estimate the power of unidentified modes with order greater than 24. At the right border the sum powers in the indicated intervals are given.

Image of FIG. 4.
FIG. 4.

Measured transversal intensity distributions of the six most powerful higher modes from Figs. 2 and 3. The scale is arbitrary for each distribution.

Image of FIG. 5.
FIG. 5.

(Color online) Numerical simulation of the dependence of the Gaussian fit value on the fundamental power for beams with different higher modes. For example, 95% fundamental power on the axis means that 5% of the power is in the higher mode(s) named in the legend. The axis shows then the value of the Gaussian fit. Two different curves are shown for each legend entry which correspond to two different phases between the higher mode(s) and the fundamental mode.

Image of FIG. 6.
FIG. 6.

(Color online) Dependence of the factor on the fundamental power for beams with different higher modes. The composition of the and modes was calculated once for zero phase angle between the fields and once with a phase angle of 45°.

Image of FIG. 7.
FIG. 7.

(Color online) Linear spectral density of relative pointing in the and directions.

Image of FIG. 8.
FIG. 8.

(Color online) Time series of the relative pointing in the and directions. [see Eq. (19) for the definition of ].

Image of FIG. 9.
FIG. 9.

(Color online) Comparison of the linear spectral densities of the relative pointing in the direction for two different measurement methods.


Generic image for table
Table I.

Quantities calculated from the complex time series in a frequency band from .


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Scitation: Laser beam quality and pointing measurement with an optical resonator