## Open resonators and open waveguides |

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### Contents

OPEN RESONATORS WITH PLANEPARALLEL MIRRORS | 13 |

TOLERANCES FOR OPEN RESONATORS WITH PLANE MIRRORS | 66 |

OPEN RESONATORS WITH CYLINDRICAL MIRRORS | 91 |

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angle antenna aperture apply approximation assume attenuation axis ball lightning barrel-shaped resonator boundary conditions caustic surfaces Chapter characteristic equation circular complex components confocal mirrors considered constant coordinates corresponding cylindrical mirrors decreases dependence derived dielectric differential equation diffraction losses distance edges eigenfrequencies eigenfunctions eigenvalues electromagnetic field electron ellipsoid end of Sec equivalent excitation exponentially field distribution finite follows free space frequency function geometrical optics given identical integral equation mode density neglected obtain open end open resonator open resonator formed open waveguides oscillations parabolic equation parameter paraxial paraxial approximation phase plane mirrors plane wave plane-parallel Q factor quantity quantum condition radiation losses radius of curvature ray systems rectangular reflection coefficient relation replaced resonant cavities resonators with plane roots satisfy shown in Fig solution solved spherical mirrors supergain term theory of open tion two-dimensional values vector wave equation wave number wavelength Weinstein yields