Numerical solution of the inverse source problem for the Helmholtz Equation with multiple frequency data
نویسندگان
چکیده
The inverse source problem of the Helmholtz Equation with multiple frequency data is investigated. Three cases are considered: (1) both the magnitude and phase of measurements on the whole boundary (full aperture data) are available; (2) only limited aperture measurements of the field are available; (3) only the magnitude information of the fields on the boundary is available. A continuation method is introduced which can successfully capture both the macro structures and the small scales of the source function. Numerical examples are presented to demonstrate the efficiency of the method.
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تاریخ انتشار 2010