We propose a method for calculating the monostatic radar cross section of a two-dimensional cavity containing a plane-layered medium in the form of a loaded metal diaphragm which is located between two dielectric layers. The method is based on the modal technique and dyadic Green's functions. The numerical results for the angular dependences of the radar cross section are presented for various parameters of the plane-layered medium. Limitations of the method and the possibilities of its further development are pointed out.Recently, great attention has been given to studying the scattering of electromagnetic waves by cavities [1] comprised in various engineering objects. Such works are topical since it is necessary to determine radar characteristics (radar cross section (RCS), etc.) of the cavities and reduce the level of their secondary electromagnetic emission. As a rule, cavities have complex shapes and internal structures. Therefore, only numerical methods can be used to estimate their scattering characteristics [1,2].The problem of calculating radar characteristics of the cavities containing plane-layered media [3], which are used to control secondary emission of the cavities, is especially important. Note that until now, the refraction coefficient has been calculated for a controlled plane-layered medium in free space [3,4].It is the purpose of this work to (i) model mathematically the scattering of a plane monochromatic electromagnetic wave by a two-dimensional cavity containing a plane-layered medium in the form of a loaded metal diaphragm which is located between two dielectric layers and (ii) calculate the angular dependences of a monostatic RCS of the cavity for various parameters of the plane-layered medium.Consider the scattering of an E-polarized plane monochromatic wave with the wavelength l by a cavity in the form of a perfectly conducting plane waveguide with the width a and length L + h such that its rear wall is perpendicular to the side walls of the waveguide (Fig. 1). Two dielectric layers (I and II) with relative dielectric permittivities ε 1 and ε 2 and thicknesses L and h, respectively, are located in the cavity. A thin metal (perfectly conducting) diaphragm is placed in layer I at the distance t from the boundary between layers I and II. It has an aperture with the width d, and the load placed in this aperture has the distributed complex conductivity σ per unit area. The lower edge of the diaphragm aperture has the coordinate x = c (Fig. 2).The method proposed for the calculation of the monostatic RCS of the considered cavity consists of two stages: (i) the variational method [3-8] based on the use of dyadic Green's functions is employed to calculate the generalized scattering matrix of the cavity; and (ii) the modal technique [9] is used to calculate the RCS of the cavity. The second stage is described in detail in [9]. In what follows we will consider the first stage of the proposed method.