## A Discussion of Periodically Loaded Waveguides, Based on Their Representation by N Periodically Coupled 'modal' Transmission Lines |

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### Contents

3 Related topics | 5 |

Chapter Two The representation of a waveguide periodically | 8 |

2 The dispersion of a single modal transmission line | 26 |

### Common terms and phrases

2n port networks adjacent obstacles admittance matrix applies approximation assertion band edges Brillouin diagram calculated cascade of identical circuit consider cosh coupling network curves cutoff frequency defined by Eq derived determine diagonal elements dispersion relation eigenvalues eigenvectors energy stored equation field group velocity Hence immittance matrices impedance transfer matrix incident mode inequalities interaction impedance Introduction junction line loaded linear loaded line loaded modal loading network loading obstacle nondissipative nonreciprocal normal modes obstacle coupling P1QL parameter passbands periodic waveguide periodically loaded waveguide phase shift pole port obstacle properties radians reciprocal shunt reference planes reflection symmetry represent representation section of uniform shift per section shunt loaded shunt obstacle shunt two port single line model sinh space period stopbands structure submatrices subsection susceptance matrix symmetric two port TM mode transmission line model transverse plane uniform waveguide modes vanishes wave wave impedance waveguide loaded zero