A new method is presented for estimating the reflection of a random, m
ultidirectional sea from a coastal structure. The technique is applica
ble to an array of wave gauges of arbitrary geometry deployed seaward
of the reflector. An expansion for small oblique wave-incidence angles
is used to derive an approximate relationship between measured array
cross-spectra and a small number of parameters that describe the incid
ent-wave properties and the reflectivity of the structure. Model tests
with simulated array data demonstrate that the gross properties of in
cident and reflected waves can be accurately estimated for wave-incide
nce angles less than about 30 degrees C. The new method is applied to
array data acquired offshore of a permeable, rubble-mound breakwater i
n Monterey Bay, California. The estimated reflection coefficients decr
ease approximately linearly with increasing frequency. Whereas the obs
erved reflections depend only weakly on the incident-wave energy, the
fraction of the incident-wave energy flux transmitted through the brea
kwater decreases with increasing wave energy, suggesting that dissipat
ion is enhanced with large-amplitude waves.