Propagation in dielectric Waveguides

Homework Statement

A planar waveguide is formed from a 10mircometer thick film of material of refractive index 1.46 sandwiched in material of refractive index 1.45. Calculate the number of modes of propagation that guide support at the wavelength 1.3mircometer, and estimate the propagation parameter,$$\beta$$m, dan bm for each.

Homework Equations

M=(4(n1)d/$$\lambda$$)*($$\sqrt{}$$((n1)-(n2)))