It is described the exactly solvable analytical model of the resonance tunnelling of electromagnetic waves in the inhomogeneous plasma with small scale structures of large amplitude by the solution of Helmholtz equation. It is shown that plasma layer of large thickness may be transilluminated by the
electromagnetic wave (nonreflection wave propagation). The wave amplitude may has the big splashes in the inhomogeneous plasma layer. The nonlocal connexion of wave vector with the effective dielectric permetivity is described. The results obtained are important ones for a number of applications both in
laboratory plasma and in space ones.