Accelerating the Evaluation of Series Representing the 2-D Periodic Green's Function

The free space Green's function with 2-D periodicity usually show very slow convergence owing to unavoidable singularities in the reciprocal solution domain. Particularly, the spatial domain Green's function doesn't convergence at all when the source point is in the same domain as the...

Full description

Saved in:
Bibliographic Details
Published in2018 International Applied Computational Electromagnetics Society Symposium - China (ACES) pp. 1 - 2
Main Authors Jie, Shunli, Jin, Yinxin, Wang, Xiaoli, Tang, Dan, Liu, Zhiwei
Format Conference Proceeding
LanguageEnglish
Published ACES 01.07.2018
Subjects
Acceleration
Antennas
Convergence
Green's function
Green's function methods
Manganese
Periodic structures
singularities
the Ewald method
Transforms
Online AccessGet full text

Cover

More Information
Summary:The free space Green's function with 2-D periodicity usually show very slow convergence owing to unavoidable singularities in the reciprocal solution domain. Particularly, the spatial domain Green's function doesn't convergence at all when the source point is in the same domain as the observation point. A method is discussed to effectively improve the slow convergence by using the Ewald method and summing in a combination of spectral and spatial expression. Numerical results demonstrate that the transform converges rapidly than the direct original summation series.
DOI:10.23919/ACESS.2018.8669159