Laboratory and outdoor measurements are reported of the relative sound
pressure level spectrum over hard surfaces containing either random o
r periodically spaced arrays of 2-D roughnesses. The resulting data ha
ve been compared with predictions obtained analytically and with numer
ical predictions of a boundary element code. Effective impedances of t
he rough surfaces have been calculated from the boss theory developed
by Twersky. A classical asymptotic approximation for propagation near
grazing incidence from a point source over an impedance boundary has b
een modified, heuristically, to allow for diffraction grating effects.
The resulting predictions are found to be in tolerable agreement with
the data except for close and random packing. The boundary element co
de is found to give superior results for larger roughnesses, but compu
tational restrictions on element size reduce its usefulness for roughn
esses with small width or height. (C) 1998 Acoustical Society of Ameri
ca. [S0001-4966(98)01809-8]