If the g-parameters of the resonator mirrors fulfill the relations g1g2 < 0 or g1g2 > 1, the radiation inside the resonator cannot be characterized by a Gaussian beam. Equation ( 5.11 ) indicates that in these cases the Gaussian beam radii become complex quantities. The steady state field distributions are not given by Gauss-Hermite or Gauss-Laguerre polynomials.

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Unstable Resonators

  • Norman Hodgson,
  • Horst Weber

摘要

If the g-parameters of the resonator mirrors fulfill the relations g1g2 < 0 or g1g2 > 1, the radiation inside the resonator cannot be characterized by a Gaussian beam. Equation ( 5.11 ) indicates that in these cases the Gaussian beam radii become complex quantities. The steady state field distributions are not given by Gauss-Hermite or Gauss-Laguerre polynomials.