THE SUPERPOSITION PRINCIPLE AND DIFFRACTION IN ANGULAR SECTORS,

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Abstract:

The powerful, but abstruse and complicated procedures used by Peters and Senior to solve diffraction problems in wedge shaped regions are shown to have a simple characterization in terms of the superposition principle. By a generalization of the dual integral equation approach used to analyze Wiener-Hopf problems, integral representations for the solutions of such problems as the scattering of waves in an angular sector with arbitrary mixed boundary conditions imposed on the boundaries of the sector can be readily found. Author

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