In previous work we showed that above a critical frequency the dominant mode on coplanar waveguide leaks power in the form of a surface wave on the surrounding substrate, and that this leakage can cause undesirable cross talk and can produce unexpected package effects. Further studies now reveal several new interesting behavioral features, such as unexpected sharp and deep minima (cancellation effects), various dimensional dependences, and how the leakage behavior varies significantly when the guide width changes from finite to infinite.