Three-dimensional electromagnetic diffraction of a Gaussian beam by a perfectly conducting half-plane

2002 ◽  
Vol 19 (11) ◽  
pp. 2265 ◽  
Author(s):  
L. E. R. Petersson ◽  
Glenn S. Smith
Keyword(s):  
Gaussian Beam ◽  
Half Plane ◽  
Three Dimensional ◽  
Electromagnetic Diffraction

Diffraction by a plane screen

1950 ◽  
Vol 202 (1069) ◽  
pp. 277-284 ◽  
Keyword(s):  
Integral Equation ◽  
Boundary Conditions ◽  
Integral Equations ◽  
Half Plane ◽  
Arbitrary Function ◽  
Electromagnetic Waves ◽  
Three Dimensional ◽  
Integral Equation Method ◽  
Dimensional Problem ◽  
Conducting Plane

The integral-equation method of solving the problem of the diffraction of electromagnetic waves by a perfectly conducting plane screen has been criticized by C. J. Bouwkamp, who claims that it is valid only when certain boundary conditions are satisfied on the edge of the screen. This criticism is answered. It is also shown that, since the equations to be solved are differential-integral equations, an arbitrary function arises in the solution and that this arbitrary function may be chosen so that, although there are singularities at the edge of the screen, there is no radiation of energy from the edge. As an illustration, the three-dimensional problem of diffraction by a half-plane is solved.

Friction Due to Elastic-Plastic Contact of Rough Surfaces

2007 ◽  
Author(s):  
A. Sepehri ◽  
K. Farhang
Keyword(s):  
Half Plane ◽  
Normal Force ◽  
Tangential Force ◽  
Three Dimensional ◽  
Tangential Direction ◽  
Tangential Component ◽  
Force Term ◽  
Three Dimensional Model ◽  
Tangential Plane ◽  
Elastic Plastic

A three dimensional model based on CEB elastic-plastic contact leads to the derivation of two force components due to the shoulder-shoulder interaction of the asperities. A normal force component is resulted that upon summation of all possible interactions, in a statistical sense, obtains the normal force between the two surfaces. A second component of asperity force would be along the tangential plane (mean plane). When there is not net applied tangential force the tangential component of force on an asperity due to all its interactions would vanish. Upon impending motion, however, the tangential force can no longer cancel since the existence of a net tangential applied load would disrupt the symmetry of loading in the tangential direction. A three dimensional elastic-plastic model then furnishes a half-plane tangential elastic-plastic force term that would exist when relative movement of one surface on another occurs along an arbitrary axis in the tangential plane. This paper addresses an account of friction due to the elastic-plastic interaction of two surfaces by recognizing that the tangential half-plane elasto-plastic force term is the resisting force when two surfaces in elastic-plastic contact are made to slide.

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