Moran, M.L., R.J. Greenfield, S.A. Arcone and A.J. Delaney. 2000. Delineation of a complexly dipping temperate glacier bed using short-pulse rader arrays. J. Glaciol., 46 (153), 274–286.
On page 277, the expression in Equation (1) should have been v. The correct equation is:
where is the range-normalized single dipole radiation pattern (Stutzman and Thiele, 1981), are the GPR surface observations, U(R′, 0) is the desired image in the subsurface at R′, is the two-way travel time (retarded time) from the subsurface image point to the sensor point, and v is the wave speed in ice. We treated the exponents α and β as processing parameters because, currently, there is no theory that includes effects of transmitter and receiver radiation patterns or considers radiation pattern distortions ascribable to time-range gain. A systematic trial-and-error study on the 50 MHz data gave α = 2 and β = 1.5. It is likely that our values for these parameters are directly related to the time-range gain recorded with our data. Properties of this procedure for radar data are discussed by Moran and others (2000).