1) Consider travelling waves in a waveguide of rectangular cross section. The width of the guide is g and height is h. Assume that the guide is in the x direction with height in the y direction and width in the z direction. The equation for the field in this medium is given 2 Z as; 0 Ey at The field that satisfies this equation is independent of y and is given by; (x,z, t) = Eo sin(z/g) cos(wt - kx) Here c denotes the speed of light and wo = (c/g) a) Find the dispersion relation b) Find the phase speed vo 0 Ey x = c. c) Find the group speed vg d) Are these waves dispersive or nondispersive (i.e. is v = vg)? de - w Ey A square pulse of width I given by; (x, z = g/2,t = 0) = Eo for 0