New Operator Marching Method for Analyzing Crossed Arrays of Circular Cylinders

2009 ◽  
Author(s):  
Yumao Wu ◽  
Ya Yan Lu ◽  
Dmitry N. Chigrin
2015 ◽  
Vol 18 (5) ◽  
pp. 1461-1481
Author(s):  
Yu Mao Wu ◽  
Ya Yan Lu

AbstractPeriodic structures involving crossed arrays of cylinders appear as special three-dimensional photonic crystals and cross-stacked gratings. Such a structure consists of a number of layers where each layer is periodic in one spatial direction and invariant in another direction. They are relatively simple to fabricate and have found valuable applications. For analyzing scattering properties of such structures, general computational electromagnetics methods can certainly be used, but special methods that take advantage of the geometric features are often much more efficient. In this paper, an efficient method based on operators mapping electromagnetic field components between two spatial directions is developed to analyze structures with crossed arrays of circular cylinders. The method is much simpler than an earlier method based on similar ideas, and it does not require evaluating slowly converging lattice sums.


2011 ◽  
Vol 42 (7) ◽  
pp. 595-612
Author(s):  
Masome Heidary ◽  
Mousa Farhadi ◽  
Kurosh Sedighi ◽  
Mostafa Nourollahi

Author(s):  
Carmen Popa ◽  
Violeta Anghelina ◽  
Octavian Munteanu

Abstract The descriptive geometry constitues the foundation of the engineering sciences, so necessary to the specialists of this field. The aim of this paper is to establish the intersection curve between two cylinders and their unfoldings, by using the programmes:AutoCAD and Mathematica. We used the classical method and we first establish the intersection curve and then the cylinders unfoldings. To do this, we used the AutoCAD program. The same unfoldings can be obtained by introducing directly the curve equations (which are inferred) in Mathematica program.


AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 225-233
Author(s):  
N. K. Yamaleev ◽  
J. Ballmann

1990 ◽  
Vol 10 (1Supplement) ◽  
pp. 35-40 ◽  
Author(s):  
Kazuo OHMI ◽  
Kensaku IMAICHI ◽  
Ei-ichi TADA

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