Propagation in conducting waveguides having slowly varying cross sections


  • Ali H. Nayfeh,

  • Omar R. Asfar


The present analysis treats the problem of wave propagation in circular waveguides taking into account the effects of both large wall conductivity and slowly varying cross section. The problem is formulated in terms of the Hertz vector for the case of TM waves. The method of multiple scales is used to find a first-order uniformly valid expansion for the Hertz vector in both the transmission and attenuation regions of the waveguide. The solutions for the perfectly conducting and the circular waveguides are obtained as special cases from the general solution.