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This paper deals with further development of Wiener-Hopf-Fock method for solving the wave's diffraction on fine strip-slotted structures problems. The classical problem on diffraction of plane wave on a strip is offered as a key problem. The boundary value problem is consecutively solved by reducing to the system of singular boundary integral equations, then to the system of the second kind Fredholm equations. The exact solution of the problem and asymptotic expressions for fields are found.