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In the present paper by the method of projection matching a solution has been obtained for problems of the H₁₀ basic wave diffraction at the joint of a regular and non-regular waveguides. At the decision of problem for a waveguide with impedance walls was obtained dispersion equation in relation to a transverse wave values watch allowed writing down the field in non-regular part. As a result of numeral solution, the quantities of transverse wave values and propagation constants of non-regular waveguide are obtained, which at complex impedance are also complex. The system solution of algebraic equations allowed to calculate the coefficients of reflection and passage, and to set their features at the change of value and reactivity of walls impedance.

diffraction; eigen-function; impedance; non-regular waveguide; regular waveguide