Bloch Wave Analysis of Long Leaky Coaxial Cables

Leaky coaxial cables can be used as distributed radiators for indoor communications. When the number of slots is large, as it is often the case, the application of a full-wave analysis method is very demanding in terms of both memory and CPU time. In this paper an analysis technique, based on Bloch wave theory is presented. Slots are viewed as discontinuities in an open waveguide and a suitable basis of orthogonal polynomials is introduced to represent the modal amplitudes pertaining to the continuous spectrum. The radiation properties of the cable are discussed in detail in terms of the excited Bloch waves. Finally, the reflection coefficient at the junction between a uniform and a slotted cable is computed. The results are presented in the form of a chart, for general slot size and spacing.

[1]  Three-Dimensional Periodic Arrays of Thin Conductors , 1987 .

[2]  Nan Wang,et al.  Propagation of Surface Waves on a Buried Coaxial Cable with Periodic Slots , 1981, IEEE Transactions on Electromagnetic Compatibility.

[3]  Mikio Tsuji,et al.  A new equivalent network method for analyzing discontinuity properties of open dielectric waveguides , 1989 .

[4]  Essam E. Hassan,et al.  Field solution and propagation characteristics of monofilar-bifilar modes of axially slotted coaxial cable , 1989 .

[5]  L. Felsen,et al.  Radiation and scattering of waves , 1972 .

[6]  K. K. Mei,et al.  Theory and analysis of leaky coaxial cables with periodic slots , 2001 .

[7]  H. Frankena,et al.  Field analysis of two-dimensional integrated optical gratings , 1995 .

[8]  Hyo J. Eom,et al.  Radiation of a Leaky Coaxial Cable With Narrow Transverse Slots , 2006 .

[9]  Y. P. Zhang.  Indoor radiated-mode leaky feeder propagation at 2.0 GHz , 2001, IEEE Trans. Veh. Technol..

[10]  Takuya Ooura,et al.  The double exponential formula for oscillatory functions over the half infinite interval , 1991 .

[11]  R. Collin.  Field theory of guided waves , 1960 .

[12]  P. Delogne,et al.  Underground use of a coaxial cable with leaky sections , 1980 .

[13]  Han-kyu Park,et al.  Numerical analysis of the propagation characteristics of multiangle multislot coaxial cable using moment method , 1998 .

[14]  P. Delogne,et al.  Theory of the Slotted Coaxial Cable , 1980 .

[15]  G. Knittel,et al.  Element pattern nulls in phased arrays and their relation to guided waves , 1968 .

[16]  T. E. Rozzi,et al.  Network analysis of strongly coupled transverse apertures in waveguide , 1973 .

[17]  James R. Wait,et al.  Electromagnetic characteristics of a coaxial cable with periodic slots , 1980, IEEE Transactions on Electromagnetic Compatibility.