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The high-energy-limit of the scattering operator for multidimensional relativistic dynamics, including a Dirac particle in an electromagnetic field, is investigated by using time-dependent, geometrical methods. This yields a reconstruction formula, by which the field can be obtained uniquely from scattering data.doi:10.1063/1.531856 fatcat:r75z5cdnafczhkfhqh6rejo74i