New Analytical 3D Method To Calculate Electromagnetic Waves In Glass Fibers Of Arbitrary Cross Section And Curvature

The general solutions of partial differential equations contain arbitrary functions equivalent to an infinite set of constants. For boundary problems in which the boundary does not coincide with curves or surfaces of a coordinate system in which the partial differential equation is separable into ordinary differential equations, these constants may be used to satisfy the given physical boundary condition on arbitrary given boundary curves and interfaces. Thus it is possible to calculate wave propagation and eigenfrequencies of straight and bent glass fibers and wave-guides of various cross sections like Cassinian curves etc.