# Sommerfeld, Goubau & Coax TM0 Calculator

May 26, 2014

 f (Hz) a1(mm)   a2(mm)   a3(mm) ρ(mm) ε1_re   ε1_im   σ1 εi_re    εi_im    σi ε2_re   ε2_im   σ2 λ0(m) ω(rad/s) k0(m-1) k1(m-1) ki(m-1) k2(m-1) δ1(m) σ1/(ωε1) η1(Ω) ηi(Ω) η2(Ω) Sommerfeld Wire Wave  (ε1, σ1, ε2, σ2, a1) β(m-1) α(m-1) loss(dB/m) |u|      |v| Pz (W/A^2) ρ_75% (m) Goubau TM0 Wire Wave  (ε1, σ1, εi, ε2, a1, a2, ρ) β(m-1) α(m-1) loss(dB/m) P(ρ) % Pz (W/A^2) ρ_75% (m) Coaxial Cable  (σ1, εi, a1, a2, a3) β(m-1) α(m-1) loss(dB/m) Zo (Ω) Z (Ω/m) Y (mho/m) Zsi (Ω/m) Zso (Ω/m) Zsext (Ω/m)
Parameters used in each section are indicated in header lines. Nonmagnetic media: μ = μo. Default values for typical RG58U cable

Reference:
• Sommerfeld TM0 Wire Wave
• Goubau TM0 Wire Wave
• Goubau F(γ'ρ) Function
• Coaxial Cable Characteristic Impedance vs Frequency
• Zenneck TM0 Surface Wave
• Electromagnetic Theory, J. Stratton, 1941, McGraw Hill, pp. 524-536
• The Electromagnetic Theory of Coaxial Transmission Lines, S. Schelkunoff, 1934, Bell System Technical Journal, p. 532
• Electrodynamics, A. Sommerfeld, Lectures on Theoretical Physics, 1952, VIII Academic Press, pp 177-185
• Surface Waves and Their Application to Transmission Lines, G. Goubau, J. Appl. Phys, V21, 1950, p.1119
• Field Theory of Guided Waves, R. E. Collin, 1991, IEEE Press, pp.697-700
• Fields and Waves in Communication Electronics, S. Ramo, J. Whinnery, T. Van Duzer, 1984, J. Wiley & Sons. pp. 279-283