Non-Normal Incidence State Space Model.

Abstract
The primary purpose of this paper is to extend a newly published normal incidence state space model to a non-normal incidence case. It also provides a synthetic seismogram for a two-dimensional point source and different offsets. The non-normal incidence state space model is structurally the same as the normal incidence state space model except that it has twice as many state variables. Because of the mode conversion in non-normal incidence, the scalar upgoing and downgoing waves and travel times in each layer as well as reflection and transmission coefficents at each interface are replaced by a vector of upgoing and downgoing waves, a vector of travel time, and matrices of reflection and transmission coefficents respectively. To obtain a two-dimensional point source synthetic generally used to express a three-dimensional point source in terms of a superposition of line sources. (Author)

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