## 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 asymptotic expression asymptotic formula attenuation axis ball lightning barrel-shaped resonator boundary conditions calculation canonical equation caustic surfaces Chapter characteristic equation circular complex components confocal mirrors considered constant coordinates corresponding current density curves cylindrical mirrors depend derived determined dielectric differential equation diffraction losses distance edges eigenfrequencies eigenfunctions eigenvalues electromagnetic field ellipsoid end of Sec equivalent excitation exponentially finite follows free space function geometrical optics given identical integral equation mirroring ellipse mode density neglected obtain open end open resonator open resonator formed open waveguide oscillations parabolic equation parameter paraxial phase plane mirrors plane wave Q factor quantity quantum condition radius of curvature ray systems rectangular reflection coefficient relation replaced resonant cavities resonators with plane roots satisfy shown in Fig solution solved spherical mirrors term theory of open tion two-dimensional values vector wave equation wave number wavelength Weinstein yields