Ray Tracing and the Effect of Ray Divergence and Convergence on Signal Intensity

K. G. Budden
1991 Proceedings of the Royal Society A  
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 infinite
more » ... ty is infinite where a ray touches a caustic surface, and exam ples of this are given. The ray is said to be reflected where it is parallel to th e stra ta . H ere th e signal intensity is bounded and continuous b u t th ere are singularities in some of th e qu an tities used to calculate it. M ethods of dealing w ith this are discussed.
doi:10.1098/rspa.1991.0015 fatcat:by3og6adpzhndnjj2lrhyaweca