A Total-Field/Scattered-Field Plane-Wave Source for the FDTD Analysis of Layered Media

2008 ◽  
Vol 56 (1) ◽  
pp. 158-169 ◽  
Author(s):  
Ilker R. Capoglu ◽  
Glenn S. Smith
Keyword(s):  
Plane Wave ◽  
Scattered Field ◽  
Layered Media ◽  
Total Field ◽  
Wave Source ◽  
Field Plane

A 3-D Total-Field/Scattered-Field Plane-Wave Source for the FDTD Analysis of Reentry Plasma Sheath

2020 ◽  
Vol 68 (8) ◽  
pp. 6214-6225 ◽  
Author(s):  
Hailiang Wei ◽  
Yanming Liu ◽  
Lei Shi ◽  
Bo Yao ◽  
Xiaoping Li
Keyword(s):  
Plane Wave ◽  
Scattered Field ◽  
Plasma Sheath ◽  
Total Field ◽  
Wave Source ◽  
Field Plane

An inverse scattering technique for electromagnetic bistatic scattering

1969 ◽  
Vol 47 (11) ◽  
pp. 1177-1184 ◽  
Author(s):  
V. H. Weston ◽  
W. M. Boerner
Keyword(s):  
Plane Wave ◽  
Scattered Field ◽  
Convex Surface ◽  
The Body ◽  
Total Field ◽  
Convex Shape ◽  
Plane Wave Incident ◽  
Smooth Body ◽  
Equivalent Sources ◽  
The Fourier Transform

It is shown that the total field produced by a plane wave incident upon a scattering body can be expressed at all points in space as the sum of the incident field and the Fourier transform of a quantity which is related to the scattering matrix. For points exterior to the minimum convex surface enclosing the body, the scattered field is reducible to a plane-wave representation which requires knowledge of the bistatic scattered field, for a fixed frequency and direction of incidence. It is shown that for certain cases, the resulting expression for the bistatic scattered field may be employed in interior portions of the minimum convex shape (including the body) in which case it represents the field arising from a set of equivalent sources. Alternative representations are also given. A technique is presented which yields the surface of a perfectly-conducting piecewise-smooth body from knowledge of the local total field. To achieve uniqueness, the technique must be applied for at least two different frequencies. Numerical results are presented which illustrate the technique.

On the Rayleigh assumption in scattering by a periodic surface

1969 ◽  
Vol 65 (3) ◽  
pp. 773-791 ◽  
Author(s):  
R. F. Millar
Keyword(s):  
Conformal Mapping ◽  
Plane Wave ◽  
Analytic Continuation ◽  
Critical Points ◽  
Scattered Field ◽  
Wave Scattering ◽  
Elliptic Partial Differential Equations ◽  
Total Field ◽  
Periodic Surface ◽  
Plane Wave Scattering

AbstractIn treating plane wave scattering by a periodic surface, Lord Rayleigh (10) assumed that the discrete, outgoing and evanescent plane wave representation for the scattered field was valid on the surface itself. Recently, this Rayleigh assumption has been questioned and criticized. For the surface y = b cos kx on which the total field vanishes, Petit and Cadilhac(8) have demonstrated its invalidity when Kb > 0·448. The present paper discusses scattering of a wave, incident from y > 0, by an analytic periodic surface y = f(x) ( – ∞ < x < ∞), and shows that the Rayleigh assumption is valid if and only if the solution can be continued analytically across the boundary at least to the line y = minf(x). Conformal mapping and results relating to the analytic continuation of solutions to elliptic partial differential equations reduce the problem to one involving the location of singularities and critical points of a potential Green's function. Provided that the perturbation of the surface from a plane is sufficiently gentle, the validity of the Rayleigh assumption is established. For the surface y = b cos kx it is shown that the assumption is valid if Kb < γ, where γ is a positive number no greater than 0·448, the precise value of which is unknown. Possible extensions of the analysis to different or more general situations are suggested.

scholarly journals Ultrasonic Scattered Field Distribution of One and Two Cylindrical Solids with Phased Array Technique

2019 ◽  
Vol 32 (1) ◽  
Author(s):  
Xiaozhou Liu ◽  
Jian Ma ◽  
Haibin Wang ◽  
Sha Gao ◽  
Yifeng Li ◽  
...  
Keyword(s):  
Plane Wave ◽  
Field Distribution ◽  
Scattered Field ◽  
Phased Array ◽  
Simulation Analysis ◽  
Plane Waves ◽  
Theoretical Solution ◽  
Steel Matrix ◽  
Field Distributions ◽  
Scattered Fields

AbstractThe scattered fields of plane waves in a solid from a cylinder or sphere are critical in determining its acoustic characteristics as well as in engineering applications. This paper investigates the scattered field distributions of different incident waves created by elastic cylinders embedded in an elastic isotropic medium. Scattered waves, including longitudinal and transverse waves both inside and outside the cylinder, are described with specific modalities under an incident plane wave. A model with a scatterer embedded in a structural steel matrix and filled with aluminum is developed for comparison with the theoretical solution. The frequency of the plane wave ranged from 235 kHz to 2348 kHz, which corresponds to scaling factors from 0.5 to 5. Scattered field distributions in matrix materials blocked by an elastic cylindrical solid have been obtained by simulation or calculated using existing parameters. The simulation results are in good agreement with the theoretical solution, which supports the correctness of the simulation analysis. Furthermore, ultrasonic phased arrays are used to study scattered fields by changing the characteristics of the incident wave. On this foundation, a partial preliminary study of the scattered field distribution of double cylinders in a solid has been carried out, and the scattered field distribution at a given distance has been found to exhibit particular behaviors at different moments. Further studies on directivities and scattered fields are expected to improve the quantification of scattered images in isotropic solid materials by the phased array technique.

Memory-Efficient 3-D LWD Solver With the Flipped Total Field/Scattered Field-Based DGFD Method

2020 ◽  
Vol 17 (9) ◽  
pp. 1498-1502 ◽  
Author(s):  
Runren Zhang ◽  
Zhenguan Wu ◽  
Qingtao Sun ◽  
Mingwei Zhuang ◽  
Qiang-Ming Cai ◽  
...  
Keyword(s):  
Scattered Field ◽  
Total Field ◽  
Memory Efficient

Application of Symplectic Partitioned Runge-Kutta Method and Total-Field Scattered-Field Formulation to Simulation of GPR Data

2014 ◽  
Vol 926-930 ◽  
pp. 2777-2780
Author(s):  
Hong Yuan Fang ◽  
Jian Li ◽  
Jia Li
Keyword(s):  
Scattered Field ◽  
Measured Signal ◽  
Total Field ◽  
Time Step ◽  
Absorbing Boundary ◽  
Runge Kutta Method ◽  
Actual Field ◽  
Ground Penetrating ◽  
Radar Wave ◽  
Difference Time

The second-order Lobatto IIIA-IIIB symplectic partitioned RungeKutta (SPRK) method, combining with the first-order Mur absorbing boundary condition, is developed for the simulation of ground penetrating radar wave propagation in layered pavement structure. For 2-dimetional case, a significant advantage of this method is that only two functions need to be calculated at each time step. The total-field/scattered-field technique is used for plane wave excitation. Numerical examples are presented to verify the accuracy and efficiency of the proposed algorithm. The results illustrate that the reflected signal calculated by the SPRK method is in good agreement with that obtained using the finite difference time domain (FDTD) scheme, but the CPU time consumed by proposed algorithm is reduce about 20% of the FDTD scheme. In addition, an actual field test is conducted to evaluate the further performance of the SPRK method. It is found that the simulated waveform fits well with the measured signal in many aspects, especially in the peak amplitude and time delay.

Sign in / Sign up

Export Citation Format

Share Document