ON THE HALF-PLANE DIFFRACTION PROBLEM

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Abstract
The diffraction of an arbitrary two-dimensional disturbance by a semi-infinite plane screen is considered. It is shown that the solution, at all points of space, can be obtained by a modification of the method developed by Hadamard for Cauchy's problem. The diffraction of the disturbance represented by Hadamard's ‘elementary solution’ is discussed, and a remarkably simple expression for the diffracted disturbance is found; its Laplace transform is shown to agree with the Green's functions derived from Sommerfeld's two-valued solutions of the wave equation.

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