Abstract
The amplitudes of excited Hermite-Gaussian modes in an astigmatic resonator due to an injected astigmatic Gaussian mode are calculated. Various types of misadjustment are considered: offset ∊; tilt α; mismatch o. For small misadjustments the amplitudes are fast-converging series in the mismatch parameter o and in the misalignment parameter ξ. For mismatch, only even-indexed Hermite-Gaussians appear. The theory is applied to an experimental result involving a 3.15-m square ring interferometer. Formulas for power matching are derived, and control loops to eliminate all but the Gaussian mode are proposed.
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