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Coaxial cables had once been thought to support only a single transverse-electromagnetic (TEM) propagation mode. But a solution to the Maxwell-Heaviside equations supports the existence of a propagating transverse-magnetic (TM) surface-wave mode as well. This mode is suppressed by the outer conductor in coaxial cables of conventional impedance, but is dominant in higher-impedance coaxial cables and also on a single uninsulated and unconditioned conductor having no outer shield. This non-radiating surface-wave mode, which has practical uses at RF through microwave frequencies, can exhibit very low attenuation and a relative propagation velocity of unity. This first ...