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We show that gravitational radiation is produced quite efficiently ininteractions of classical waves created by resonant decay of a coherentlyoscillating field. For simple models of chaotic inflation in which the inflatoninteracts with another scalar field, we find that today's ratio of energydensity in gravitational waves per octave to the critical density of theuniverse can be as large as 10^{-12} at the maximal wavelength of order 10^{5}cm. In the pure $\lambda\phi^4$ model, the maximal today's wavelength ofgravitational waves produced by this mechanism is of order 10^6 cm, close tothe upper bound of operational LIGO and TIGA frequencies. The energy density ofwaves in this model, though, is likely to be well below the sensitivity of LIGOor TIGA at such frequencies. We discuss possibility that in other inflationarymodels interaction of classical waves can lead to an even strongergravitational radiation background.Comment: Latex, 18 pages including 3 figure

Relic gravitational waves produced after preheating