Non-electric field renal denervation electrode

A renal denervation device can include an elongated catheter body extending along a longitudinal axis, and an assembly connected to the catheter body. The assembly includes a plurality of heating elements connected to the catheter body. Each heating element has a conductor and a layer of an RF dissipating material such as a polymer overlying the conductor. During operation of the device, the layer of RF dissipating material is disposed between the conductor and body tissues of a subject. The layer of RF dissipating material is substantially thicker than the Debye length within the material in order to reduce the electric field reaching the tissue and to eliminate direct contact of the electrode with the body tissue.