Bulletin of the Calcutta Mathematical Society 1918-19

There are in fact not many cases in which the influence of the material properties of the obstacle has been taken into account in the mathematical treatment of a diffraction problem although the necessity of doing this has been very clearly indicated by some of the experimental results— It was therefore considered that the treatment of the problem of diffraction of light by a dielectric wedge give [...] 16 (1917) p. 94."ZOO suDHANSLIKUMAR BANER.31 in the incident wave is parallel to the edge of the wedge it is easy to see that the electric force in the total disturbance outside the wedge and that in the disturbance which enters into the body of the wedge must both be parallel to the edge of the wedge. [...] 3. Let the vertex of the cone be taken as the origin and the plane determined by the given focus and the axis of the cone as the (ry-plane. [...] '(iv) If the highest power of r in the M consecutive factors be greater than the highest power of r in the first M factors then the product of the M consecutive factors will be greater than the product of the first M factors. [...] If A= [a]* be the fund111 mental matrix and B= ] be any derived matrix (page 3) of A then writing B in the expanded from in double-suffix notation as a a a t'.1?/1 xlY a a a 2Y a a the affect of the derived matrix B in the fundamental matrix A is defined to be the quantity ca given by the equations :- w'—the affect of the sequence [x ] in the sequence [1 2...m] and is called the vertical af