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d d e n Cavendish L a b o r a t o r y , Madingley , Cambridge CBS OHE, U.K. An extension of th e technique of ray tracin g is studied in which the v ariation of the signal in ten sity along th e ray is calculated. This results from the divergence or convergence of neighbouring rays in a ray pencil. I t is exam ined for the special case of plane stratificatio n and applied to an anisotropic collisionless ionosphere. W ith the ap proxim ations of ray th eo ry the signal intensity is infinitedoi:10.1098/rspa.1991.0015 fatcat:by3og6adpzhndnjj2lrhyaweca