When a plane harmonic wave has oblique incidence on a stack of homogeneous dielectric slabs, the field in each layer consists of an outgoing and a reflected wave. The complex amplitudes of these plane waves in layer n are denoted by An and Bn, and simple recursive re¬lations are derived for An+1 and Bn+l as functions of A and Bn. The solution begins by setting Ao = 1 and Bo = 0, and it is completed by calculating the transmission and reflection coefficients of the plane multilayer as simple functions of An+1 and BN+1 where N represents the total number of layers.nThis technique is also applicable when a plane wave is incident on a multilayer dielectric cylinder or sphere. The required equations are derived for the cylindrical case with normal incidence. The rigorous solutions and digital-computer programs are included for both principal polarizations for plane and cylindrical multilayers.
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