Scatering of electromagnetic waves in flat waveguide with bilateral diaphragms

The propagation of stationary electromagnetic waves (scalar problem) in an infinite flat waveguide with a bilateral diaphragm is examined. The walls of the waveguide and the transverse diaphram are conductors with infinite conductivity. An exact solution is derived for the problem of stationary scattering of a normal wave by reduction to a Riemann matrix problem for two pairs of analytical functions. The second-order matrix function is factored in closed form. Expressions are derived for the coefficients of refraction and transformation of the incident normal waves. It is found that the solution to the problem is analogous to the case in which the Neumann boundary condition is satisfied at the boundary of the waveguide.