A small Nd:YAG laser with plano-concave resonator end pumped by a dye laser is observed to possess single Laguerre-Gauss transverse modes as the lowest-loss modes. This anomalous behavior occurs when the transverse dimension of the gain spot is much smaller than the fundamental TEM(00)-mode spot size of the resonator; the Laguerre-Gauss transverse-mode order varies with resonator length.
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Flood et al. (1990) studied this question.
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