“…Most direct measurements of wave speeds are derived from ice-core profiles of density or permittivity (Robin and others, 1969;Clough and Bentley, 1970;Kovacs and others, 1995;Richardson and others, 1997;Eisen and others, 2002) or tomography between boreholes or pits (Fortin and Fortier, 2001;Kravchenko and others, 2004). Indirect measurements depend on knowledge of reflector depth and travel time, as is needed for down-hole radar methods (Jezek and Roeloffs, 1983;Clarke and Bentley, 1994), or on a defined survey geometry for wide-angle reflection measurements (Annan and Davis, 1976) and common-midpoint surveys (Fisher and others, 1992;Hempel and others, 2000;Murray and others, 2000;Eisen and others, 2002).…”