Gaussian laser beam in a magnetized plasma. III. Connection of beams inside and outside the plasma

Theoretically determined are the field and the profile of the laser in the anisotropic plasma. The beam profile referring to the beam in vacuum is exp licitly settled down by solving a boundary value problem. This is also done for the reflected wave. The use of a Gauss-type general solution to the He lmholtz equation governing the beam is intensively made. A different Raylei gh range for each wave propagating parallel to the magnetic field B-0 is ex plicitly obtained. Also explicitly determined are two Rayleigh ranges which coexist when a rave propagates perpendicular to B-0 and which specify the major and the minor axes of the elliptical cross section of the beam. Extra ordinary wave is shown to be anomalously reflected at the boundary.