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This chapter shows how to perform conversions between common beam quality metrics. It is important to emphasize that conversions between metrics are not generally possible without additional information about the beam and aberrations. Section 4.1 shows conversions for Gaussian beams that degrade as ensembles of higher-order modes and can be described by Gaussian envelopes. Section 4.2 shows the results of numerical simulations for a variety of beam shapes degraded by phase and amplitude noise of several types.
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