(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.
(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.
(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.
Measured transversal intensity distributions of the six most powerful higher modes from Figs. 2 and 3. The scale is arbitrary for each distribution.
(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.
(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°.
(Color online) Linear spectral density of relative pointing in the and directions.
(Color online) Time series of the relative pointing in the and directions. [see Eq. (19) for the definition of ].
(Color online) Comparison of the linear spectral densities of the relative pointing in the direction for two different measurement methods.
Quantities calculated from the complex time series in a frequency band from .
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