An analog of an electromagnetically induced transparency C4 symmetric device with a silicon array-dielectric layer-Au film F–P cavity is designed. Through the coupling between the waveguide and F–P cavity modes, the polarization-independent terahertz electromagnetic induced transparency (EIT)-like effect is obtained. The coupling analysis between the two types of modes in different orders shows the EIT-like effect, but the orders could affect the EIT-like properties. Moreover, the C4 symmetry structure makes it have polarization-independent characteristics. This research is conducive to obtaining polarization-independent EIT-like devices and to further research on the coupling between different kinds of modes for obtaining EIT-like devices with different performance requirements.