## Shaped Reflector Antenna Design |

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### Contents

Complex coordinates in reflector design | 9 |

Reflector design as a boundaryvalue problem | 34 |

Reflector design as an initialvalue problem | 54 |

Copyright | |

7 other sections not shown

### Common terms and phrases

Albertsen analytic aperture power aperture shape arbitrary constant axes blockage boundary condition boundary-value problem calculated Cassegrain caustic points Chapter complex coordinate computed cone axis corresponding curve defined denote derivatives diffraction dual offset reflectors dual reflector system edge-rays elliptic far-field cone far-field pattern feed pattern feed-horn field final ray formula Gaussian curvature geometrical optics given by eqn grid incident ray integral Jacobian lemma main reflector mapping method Microwave Monge-Ampere equation numerical obtain paraboloid parameters partial differential equation phase and power phase function plane of symmetry polar coordinates power density power distribution principal curvatures quadric radiation ray direction reflected ray reflector antenna reflector design reflector surface region second reflector shaped beams shaped dual offset Shaped Reflector shown in Fig shows sidelobe single reflector solid angle solution solved spherical polar subreflector surface synthesis taper tion unit sphere unit vector values variable Westcott yields z-axis zero cross-polarisation