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Wave description of geometric modes of a resonator

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Abstract

By using both an operator and a geometric argument, we obtain a wave description of geometric modes of a degenerate optical resonator. This is done by considering the propagation of a displaced Gaussian beam inside the resonator. The round-trip Gouy phase, which is independent of the wavelength of the light, determines the properties of the Gaussian eigenmode. The extra freedom in the case of degeneracy allows for the existence of geometric modes.

© 2005 Optical Society of America

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