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The diffraction theory of Kirchhoff is applied to the semi-infinite aperture of a black half-screen. The derivative of the spherical Green's function is taken into account without any approximation. The uniformly evaluated scattering integral is compared with the physical optics solution. It is shown that the non-omitted term causes the existence of… (More)

- Y. Z. Umul
- 2009

—An exact form for the equivalent edge current is derived by using the axioms of the modified theory of physical optics and the canonical problem of half-plane. The edge current is expressed in terms of the parameters of incident and scattered rays. The analogy of the method with the boundary diffraction wave theory is put forward. The edge and corner… (More)

- Yusuf Z. Umul
- 2007

An important contradiction in the actual usage of the non-relativistic energy and momentum relations of a quantum particle is analyzed. This analysis led us to obtain new forms of differential equations for the mechanics of a non-relativistic quantum particle. Also a new equation is derived for the relativistic case which yields the same differential… (More)

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