Abstract
In this paper, the relations of the scattering coefficients of the periodic structures with different dimensions are analyzed in detail. A criterion for representing the scattering coefficients of a large scale periodic structure by a small sample is given for the first time. At first, a theoretical analysis proves that the representation is feasible. Then, a Boundary Meshless Model (BMM) for calculating the scattering coefficient is derived. The scattering coefficients of small periodic structures representing different local parts of large scale one are calculated using BMM. The results and their analysis show preliminarily that only the small periodic structure which has the same number of periods as and at least the half dimension of the large one is representative. Applying this conclusion, we believe, can not only hugely improve the computational efficiency but also can make possible the fast estimation in engineering and improvement of the measurement of scattering coefficient.
| Original language | English |
|---|---|
| Pages (from-to) | 599-605 |
| Number of pages | 7 |
| Journal | Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University |
| Volume | 32 |
| Issue number | 4 |
| State | Published - 1 Aug 2014 |
Keywords
- Calculations
- Computational efficiency
- Errors
- Helmholtz equation
- Matrix algebra
- Measurements
- Numerical methods
- Periodic structures
- Program processors
- Scattering
- Scattering coefficient
- Schematic diagrams
- Small scale sample