Eikonal Equation


Eikonal Equation : Consider a wavefront originating from an impulsive source at a point, and define the travel time in space as its time of arrival. The eikonal equation in this case equates the magnitude of gradient vector of the travel time to the reciprocal of the local wave speed. The term was also used in relation to Hamilton's equations in analytical dynamics, which has some similarity with equations in the ray theory. See Chapman (2002), and the biography of William Rowan Hamiltion in Howell (2003)
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