### Abstract:

This paper deals with further development of Wiener-Hopf-Fock method for ob-
taining the characteristic equation which follows from the solution of the boundary value problem
of electromagnetic waves di®raction on the strip-slotted structures. The strip or an in¯nite grat-
ing is chosen in return for strip-slotted structures. 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, which e®ectively is solved by reducing to a system of the
linear algebraic equations with the help of the etalon integral and of saddle point method. Set-
ting the determinant of a system of the algebraic equations equal to zero, we ¯nd a characteristic
equation, which determines the eigenfrequencies of the structures.

### Description:

This paper deals with further development of Wiener-Hopf-Fock method for ob-
taining the characteristic equation which follows from the solution of the boundary value problem
of electromagnetic waves di®raction on the strip-slotted structures. The strip or an in¯nite grat-
ing is chosen in return for strip-slotted structures. 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, which e®ectively is solved by reducing to a system of the
linear algebraic equations with the help of the etalon integral and of saddle point method. Set-
ting the determinant of a system of the algebraic equations equal to zero, we ¯nd a characteristic
equation, which determines the eigenfrequencies of the structures.