Investigation on Composite Broadband
Electromagnetic Scattering from 1D Rough Land
Surface and the Periodic Distributed Rectangular
Conductor Target Buried Partially Using FDTD
Jian Wu, Xin-Cheng Ren, Xiao-Min Zhu
School of Physics and Electronic Information, Yan’an University
Yan’an, 716000, P.R. China
E-Mail: yadxyjswj@163.com
Abstract—One-dimensional exponential distribution rough land
surface is simulated employed by Monte Carlo method, the
characteristics of composite broadband electromagnetic
scattering from rough land surface with periodic distributed
rectangular cross-section column buried partially under UWB
Gaussian pulse wave irradiation are investigated using FDTD.
The curves of back composite scattering coefficient which varies
with frequency are obtained by numerical calculation, the
influence of the root mean square and the correlation length of
rough surface fluctuation, soil moisture, the length and the width
of the rectangular cross-section column, separation distance,
burial depth, and tilt angle is discussed separately.
Keywords—Broadband electromagnetic scattering, Back
composite scattering coefficient, periodic distributed rectangular
conductor target, FDTD
I. INTRODUCTION
Electromagnetic wave scattering from a rough land surface
and buried target is an important research area during recent
years because of its spread application in environmental
remote sensing, target tracking and recognition, radar
detection, wireless communication, microwave probing of
composite materials and their surface roughness, etc. The
methods of solving scattering problems are plenty, such as the
Kirchhoff approximation (KA), the Method of Moment
(MOM), the Finite Difference Time-Domain (FDTD). Many
studies on composite electromagnetic scattering from the
rough sea surface and single target under harmonic wave
irradiation have been reported and various methods are used in
these studies [1-4]. However, the case of rough land surface
and periodic type target under pulse wave irradiation was
considered rarely [5].
FDTD can calculate the electromagnetic scattering
problems under pulse wave, and has superiority of the time
domain numerical algorithm [6, 7]. In this paper, we consider
the characteristics of composite broadband electromagnetic
scattering from rough land surface with rectangular
cross-section column target of periodic distributed buried
partially under Gaussian pulse wave irradiation using FDTD,
and the curves of back composite scattering coefficient which
varies with frequency are obtained. Results of numerical
calculation have a very great importance for achieving the
remote sensing information of the earth under the complex
electromagnetic environment.
II. COMPOSITE MODEL AND FDTD
In this topic, the actual rough land surface
is
simulated by 1D exponential distribution rough surface and
Monte Carlo method [8], which is shown in Fig. 1. We
suppose that the upper of the coordinate axis
is
homogeneous free space, and the lower is isotropic
homogeneous soil medium. Rectangular cross-section
column target of periodic type is labeled as
and buried
partially in soil. The separation distance of every target is
expressed as
. Here,
is the burial depth, and
represents tilt angle, which is the intersection angle of the
side length
of target and the forward of coordinate axis
.
d
c
b
a
x
d
c
b
f (x)
y
x
a
dd
h
K
E
i
H
i
Fig. 1 .Geometry of composite scattering from the rough surface with buried
periodic target
As shown in Fig. 2, the calculated area of composite