Issue |
Eur. Phys. J. Appl. Phys.
Volume 48, Number 2, November 2009
|
|
---|---|---|
Article Number | 20903 | |
Number of page(s) | 7 | |
Section | Imaging, Microscopy and Spectroscopy | |
DOI | https://doi.org/10.1051/epjap/2009145 | |
Published online | 17 September 2009 |
https://doi.org/10.1051/epjap/2009145
Analytical iterative algorithm for fast computation of scattering from multiple conductive cylinders and the image reconstruction*
Key Laboratory of Wave Scattering and Remote Sensing Information (MoE),
Fudan University, 200433 Shanghai, P.R. China
Corresponding author: hxye@fudan.ac.cn
Received:
16
April
2009
Revised:
4
June
2009
Accepted:
19
June
2009
Published online:
17
September
2009
An analytical iterative algorithm for fast computation of
scattering from multiple conductive cylinders is developed. It takes account
of the independent 1st-order, coupling 2nd-order and higher-order
scattering of multiple objects. The 1st-order scattering, as
independent scattering of a single object self, is derived by using the
expansion of cylindrical waves in local coordinate of the object, which are
solved by the boundary conditions. Exciting by the 1st-order scattering
from one object, the 2nd-order scattering of multi-objects are
obtained iteratively using the addition theorem of Hankel function and the
boundary conditions. The same approach is applicable to calculations of the
3rd-order and higher order scattering. It is found that the phase
differences caused by the cylinder centers indicate the scattering wave
interferences of multi-objects. Comparison with numerical MoM results well
validates the analytical iterative algorithm, which significantly
accelerates the scattering computation for wide-band frequencies f and
overall azimuth angles θ over 360°. In order to depress the ringing effect
caused by the abrupt change of scattering field in computed region to zero
field in uncomputed region, the Hamming window is used to make gradual
change of the scattering field to zero. Using FFT and 2D spline
interpolation, discrete scattering data over the plane yield uniform
discrete data over the X − Y plane. The image reconstruction is finally
performed for multiple conductive cylinders. The image can well identify the
positions and sizes of multi-objects.
PACS: 41.20.Jb – Electromagnetic wave propagation; radiowave propagation / 42.25.Fx – Diffraction and scattering / 42.30.Wb – Image reconstruction; tomography
© EDP Sciences, 2009
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