A three dimensional Gaussian Beam diffraction approach to analysis of reflector antennas

Author(s):  
Liang Xu ◽  
Xiaodong Chen ◽  
H. Feng ◽  
H. Tu ◽  
D. Xiao ◽  
...  
2002 ◽  
Vol 149 (3) ◽  
pp. 160-167 ◽  
Author(s):  
C. Rieckmann ◽  
C.G. Parini ◽  
D.H. Martin ◽  
R.S. Donnan ◽  
M.R. Rayner

2005 ◽  
Vol 22 (7) ◽  
pp. 1293 ◽  
Author(s):  
Shun-Der Wu ◽  
Thomas K. Gaylord ◽  
Elias N. Glytsis ◽  
Yu-Ming Wu

Author(s):  
J. A. Eades ◽  
A. E. Smith ◽  
D. F. Lynch

It is quite simple (in the transmission electron microscope) to obtain convergent-beam patterns from the surface of a bulk crystal. The beam is focussed onto the surface at near grazing incidence (figure 1) and if the surface is flat the appropriate pattern is obtained in the diffraction plane (figure 2). Such patterns are potentially valuable for the characterization of surfaces just as normal convergent-beam patterns are valuable for the characterization of crystals.There are, however, several important ways in which reflection diffraction from surfaces differs from the more familiar electron diffraction in transmission.GeometryIn reflection diffraction, because of the surface, it is not possible to describe the specimen as periodic in three dimensions, nor is it possible to associate diffraction with a conventional three-dimensional reciprocal lattice.


Open Physics ◽  
2012 ◽  
Vol 10 (4) ◽  
Author(s):  
Pawel Berczynski

AbstractThe method of paraxial complex geometrical optics (PCGO) is presented, which describes Gaussian beam (GB) diffraction and self-focusing in smoothly inhomogeneous and nonlinear saturable media of cylindrical symmetry. PCGO reduces the problem of Gaussian beam diffraction in nonlinear and inhomogeneous media to the system of the first order ordinary differential equations for the complex curvature of the wave front and for GB amplitude, which can be readily solved both analytically and numerically. As a result, PCGO radically simplifies the description of Gaussian beam diffraction in inhomogeneous and nonlinear media as compared to the numerical and analytical methods of nonlinear optics. The power of PCGO method is presented on the example of Gaussian beam evolution in logarithmically saturable medium with either focusing and defocusing refractive profile. Besides, the influence of initial curvature of the wave front on GB evolution in nonlinear saturable medium is discussed in this paper.


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