Transient reflection from a plasma half space when losses are considered

An impulsive plane wave (TE mode) is incident on a cold uniform plasma half space. The known Laplace transform of the reflected wave is expanded in such a fashion that an inversion of the terms allows one to obtain the impulse response as an infinite series of modified Bessel functions of the first kind. For the special case of small losses it is shown this response simplifies to a previous result.