## Advanced modal analysis: CAD techniques for waveguide components and filters, Volume 1Single mode equivalent network representations have been a key tool for the industrial design and development of a large variety of microwave systems. The reduced dimensions and increased complexity of modern microwave equipment, however, makes the inclusion of the higher order mode interactions essential for the correct industrial design and optimization of all microwave hardware. In this context, the analytical techniques originally exploited to develop single mode networks have recently been extended to produce multi-mode algorithms that can form the basis of fast and accurate Computer Aided Design tools. Furthermore, alternative multi-modal techniques, involving resonant rather than guided modes, have recently been developed for the design of waveguide components of arbitrary shape. This book describes in detail a number of modern multi-modal techniques for the analysis and design of passive microwave components. The authors comprehensively cover modal analysis of waveguides and cavities; discuss several multi-mode procedures for the study of both basic and arbitrarily shaped waveguide junctions and, finally, describe specific applications such as inductively coupled filters, waveguide couplers, metal insert and dual-mode filters. The book will be of interest to professional engineers and researchers in the microwave engineering field as well as students engaged in research at an advanced level. Distinctive features of this book include: * detailed explanation of several multi-mode analysis techniques for the analysis of waveguide components based on both canonical and arbitrary waveguide profiles * measured versus simulated results for a number of specific application examples * accompanying software that allows the reader to input their own data thereby demonstrating how the techniques described can be effectively used to develop fast and accurate CAD tools. |

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### Contents

Cavity resonators | 23 |

Mode matching analysis of planar discontinuities | 55 |

Modal analysis of threedimensional microwave structures | 87 |

Copyright | |

6 other sections not shown

### Common terms and phrases

accuracy factor admittance matrix aperture Arcioni basis functions BI-RME method boundary conditions calculation cavity resonators characteristic impedance circular waveguide coaxial waveguide computation Conciauro considered corresponding coupling coefficients coupling integrals coupling matrix cross-section currents cutoff defined derived discontinuity E-plane eigenfunctions eigenvalue problem electric and magnetic electric field electromagnetic field elements equivalent network evaluated expansion Figure following expressions formulation frequency Galerkin method given Green's functions H-plane higher order modes integral equation irrotational LSM modes m-th mode magnetic eigenvectors magnetic field modal analysis multimode equivalent network n-th normalization number of modes obtained parameters Perregrini plane port procedure rectangular cavity rectangular waveguide represent resonant modes resonant wavenumbers scalar potential shown in Fig solenoidal solution step junction structure symmetry T-junction TM modes transverse uniform waveguide vector mode functions voltages wave wave impedance waveguide junction waveguide section waveguide steps wavenumber zero