Simple Formula for the Wave Number of the Goubau Line

References

• Abramovitz , M. and Stegun , I. A. 1970 . Handbook of mathematical functions , 375 New York : Dover Publications .
   Google Scholar
• Collin , R. E. 1960 . Field theory of guided waves , 478 – 479 . New York : McGraw-Hill .
   Google Scholar
• Corless , R. M. , Gonnet , G. H. , Hare , D. E. G. , Jeffrey , D. J. and Knuth , D. E. 1996 . On the Lambert W function. . Adv. Computat. Math. , 5 : 329 – 359 .
   Web of Science ®Google Scholar
• Dwight , H. B. 1961 . Tables of integrals and other mathematical data, , 4th ed. , New York : The Macmillan Co .
   Google Scholar
• Goubau , G. 1950a . Surface waves and their application to transmission lines. . J. Appl. Phys. , 21 : 1119 – 1128 .
   Web of Science ®Google Scholar
• Goubau , G. J. E. Surface wave transmission line. . U.S. Patent No. 2,685,068 . 1950b .
   Google Scholar
• Goubau , G. 1956 . Open wire lines. . IRE Trans. Microw. Theory Techniq. , 4 : 197 – 200 .
   Google Scholar
• Gradshteyn , I. S. , Ryzhik , I. M. , Jeffrey , A. and Zwillinger , D. 2000 . Table of integrals, series, and products , 6th ed. , New York : Academic Press .
   Google Scholar
• Harms , F. 1907 . Elektromagnetische wellen an einem draht mit isolierender zylindrischer hülle [Electromagnetic waves on a wire with a cylindrical insulating coat]. . Ann. Phys. , 328 : 44 – 60 .
   Google Scholar
• Harrington , R. F. 1961 . Time-harmonic electromagnetic fields, 165 , 219 – 223 . New York : McGraw-Hill .
   Google Scholar
• Musson , J. , Cole , K. and Rubin , S. Application of Goubau surface wave transmission line for improved bench testing of diagnostic beamline elements. Proceedings of 23rd Particle Accelerator Conference . May , Vancouver . pp. 4060 – 4062 .
   Google Scholar
• Scott , T. C. , Mann , R. and Martinez , R. E. 2006 . General relativity and quantum mechanics: Towards a generalization of the Lambert W function. . Applicab. Alg. Eng. Commun. Comput. , 17 : 41 – 47 .
   Web of Science ®Google Scholar
• Sommerfeld , A. 1899 . Ueber die fortpflanzung elektrodynamischer wellen längs eines drahtes [About the propagation of electrodynamic waves along a wire]. . Ann. Phys. Chem. , 303 : 233 – 290 .
   Google Scholar
• Stratton , J. A. 1941 . Electromagnetic theory , 529 New York : McGraw-Hill .
   Google Scholar
• Wikipedia. The Lambert W function. Available online at http://en.wikipedia.org/wiki/Lambert_W_function (accessed)
   Google Scholar
• Xu , Y.-S. and Bosisio , R. G. 2005 . Application of Goubau lines for millimetre and submillimetre wave gas sensors. . IEE Proc. Microw. Antennas Propagat. , 152 : 400 – 405 .
   Web of Science ®Google Scholar