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An electromagnetic susceptibility test within an ideal reverberation chamber is numerically simulated using the moment method (MM). The random field environment within the chamber is synthesized using a superposition of plane waves that are propagating in fixed directions determined rigorously from spectral sampling theory. Randomness is introduced in the complex field amplitudes associated with each plane wave. This approach yields field statistics within a designated test region that approach ideal. Moreover, the fixed propagation directions allow very efficient calculation of the currents induced at specific test points on an equipment-under-test due to the random field realizations. MM calculations show that the proposed sampling method yields a better prediction of the statistics of the induced current while requiring far less computation time than the currently used technique of superimposing randomly propagating plane waves to yield field realizations.