Spherical Vector Waves

Keyword(s):  
2020 ◽  
Vol 19 (8) ◽  
pp. 5345-5358
Author(s):  
Yang Miao ◽  
Katsuyuki Haneda ◽  
Jun-Ichi Naganawa ◽  
Minseok Kim ◽  
Jun-Ichi Takada
Keyword(s):  

2020 ◽  
Vol 9 (3) ◽  
pp. 171 ◽  
Author(s):  
Rui Wang ◽  
Jin Ben ◽  
Jianbin Zhou ◽  
Mingyang Zheng

Discrete global grid systems (DGGSs) are an emerging multiresolution 3D model used to integrate and analyze big earth data. The characteristic of multiresolution is usually realized by hierarchically subdividing cells on the sphere using certain refinement. This paper introduces mixed aperture three- and four- icosahedral hexagonal DGGSs using two types of refinement, the various combinations of which can provide more resolutions compared with pure aperture hexagonal DGGSs and can flexibly design the aperture sequence according to the target resolutions. A general hierarchy-based indexing method is first designed, and related indexing arithmetics and algorithm are developed based on the indexing method. Then, the grid structure on the surface of the icosahedron is described and by projection spherical grids are obtained. Experiments show that the proposed scheme is superior to pure aperture schemes in choosing grid resolutions and can reduce the data volume by 38.5% in representing 1-km resolution raster dataset; using the proposed indexing arithmetics to replace spherical geometry operations in generating discrete spherical vector lines based on hexagonal cells can improve the generation efficiency.


2011 ◽  
Vol 2011 ◽  
pp. 1-6 ◽  
Author(s):  
You-Lin Geng

The electromagnetic field in homogeneous plasma anisotropic medium can be expressed as the addition of the first and second spherical vector wave functions in plasma anisotropic medium. The tangential electromagnetic fields are continued in the boundary between the homogeneous plasma anisotropic medium and free space, and the tangential electrical field is zero in the surface of conducting sphere. The coefficients of electromagnetic fields in plasma anisotropic medium expanded in terms of spherical vector wave functions in plasma anisotropic medium are derived, and then the coefficients of scattering fields in terms of spherical vector functions in free space can be obtained. Numerical results between this paper and hybrid finite element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA) are given, and they are in agreement very well. Some new numerical results of a plane wave scattering by an anisotropic plasma-coated conducting sphere are obtained.


Radio Science ◽  
1976 ◽  
Vol 11 (10) ◽  
pp. 753-761 ◽  
Author(s):  
R. J. Pogorzelski ◽  
E. Lun
Keyword(s):  

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