Line source diffraction by perfectly conducting successive steps

Doğan, Murat; Dikmen, Fatih; Alkumru, Ali

doi:10.1016/j.wavemoti.2016.10.004

Cited by 5 publications

(6 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Equation 10 constitutes a nonlinear problem, since χ(⃗ x,ω) is an unknown, and its solution can be expressed, by using ⃗ x=(z,x), as a Fredholm [19] integral equation like where q j inc (x,z,ω) is the incident wave that satisfies, and q j set (x,z,ω) is the scattered contribution to pressure field given by…”

Section: Special Issue On Seismic Imagingmentioning

confidence: 99%

“…A solution of such Fredholm integral Equation 13, can be approximated through the Born approximation [19], for which Such Born approximation can be considered a member of an iterative solution often called Neumann series, for which ( 14) is taken as the first term (i.e., q j (x,z,ω)=q j ( 1) ) (x,z,ω) ) and the second term is calculated as…”

Section: Special Issue On Seismic Imagingmentioning

confidence: 99%

“…The solutions (17), ( 18), (19), and (20) implicitly depend on c 0 through ρ 0 and Ω ± . As discussed above, c 0 represents a constant wave velocity iin a specific zone Z i and thus c 0 is a constant for the integrals in equations ( 17) and (19). The equation ( 8) is needed in the integrals (17) and (19).…”

Section: Real Wave Vector K I : ω>Bmentioning

confidence: 99%

“…As discussed above, c 0 represents a constant wave velocity iin a specific zone Z i and thus c 0 is a constant for the integrals in equations ( 17) and (19). The equation ( 8) is needed in the integrals (17) and (19). Note that the integral parts differ from zero for variable density profiles only.…”

Section: Real Wave Vector K I : ω>Bmentioning

confidence: 99%

See 3 more Smart Citations

Integral modelling of propagation of incident waves in a laterally varying medium: An exploration in the frequency domain

Jimenez¹,

Cuartas²,

Avendaño³

2018

CT&F Cienc. Tecnol. Futuro

View full text Add to dashboard Cite

In this work we present a formalism that intends to solve the problem of modeling wave propagation in the context of seismic inversion. The formalism is based on the linear perturbation theory of Cauchy’s equations. Based on the foregoing, we derived an equivalent Helmholtz equation for the propagation of waves in a variable density media. Then, we defined a solution, by using the boundary conditions on a half plane. This solution is of an integral nature and resembles expansion in a Neumann series. We implemented the solution of the first terms in the series, considering only the incident wavefield and neglecting the reflections. We show how this approximation works in different media that include lateral in homogeneities in the velocity. The method presented hereunder is intended as a first step in the modelling process for the full wavefield, to be used in seismic inversion methods, Full Waveform Inversion, for example.

show abstract

Section: Special Issue On Seismic Imagingmentioning

confidence: 99%

Section: Special Issue On Seismic Imagingmentioning

confidence: 99%

Section: Real Wave Vector K I : ω>Bmentioning

confidence: 99%

Section: Real Wave Vector K I : ω>Bmentioning

confidence: 99%

See 2 more Smart Citations

Integral modelling of propagation of incident waves in a laterally varying medium: An exploration in the frequency domain

Jimenez¹,

Cuartas²,

Avendaño³

2018

CT&F Cienc. Tecnol. Futuro

View full text Add to dashboard Cite

show abstract

“…Electromagnetic scattering and the behavior of electromagnetic waves in the vicinity of obstacles have always been of crucial importance in science and engineering [1]. Since electromagnetic waves are employed for noninvasive detection, radar applications, antenna design, and characterization of materials and surfaces with different electromagnetic or periodic properties, numerous analytical, numerical, or analytical-numerical approaches have been developed [2][3][4][5][6]. Therefore, apart from the full-wave simulations, new approximate and well-defined methodologies have been proposed in the literature.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Scattering from 2-D Conducting Objects with Arbitrary Smooth Shape: Complete Mathematical Formulation of the Method of Auxiliary Sources for E-polarized Case

Tabatadze¹,

Karaçuha²,

Zaridze³

2022

PIER M

View full text Add to dashboard Cite

The study investigates the mathematical background of the method of auxiliary sources (MAS) employed in electromagnetic diffraction. Here, the mathematical formulation is developed for E-polarized plane wave diffraction by perfectly conducting two-dimensional objects of arbitrary smooth shape, and the comparison with an analytical and a numerical approach is provided in the numerical part. The results reveal a quite high accuracy among all methods. The importance of the study is to develop the complete mathematical background of MAS for two-dimensional T M -polarized electromagnetic scattering problems by conducting objects. Different from the method of moments (MoM) and other integral equation approaches in electromagnetic scattering problems, here the integral equation resulting from the boundary condition on the scatterer is solved by expanding the current density as orthonormalized Hankel's function with the argument of the distance between the scatterer actual and auxiliary surfaces. The approach can be summarized by that first the sources are shifted inside the scatterer, and second, the boundary condition is employed as the total tangential electric field is zero on the surface and inside the object. Then, such expansion leads to eliminating the singularity problems by shifting the sources from the actual surface.

show abstract

Impact of Radon transform on plane wave diffraction by an impedance step geometry

Nizami

Mann

Maqbool

2018

Optik

View full text Add to dashboard Cite

Line source diffraction by perfectly conducting successive steps

Cited by 5 publications

References 12 publications

Integral modelling of propagation of incident waves in a laterally varying medium: An exploration in the frequency domain

Integral modelling of propagation of incident waves in a laterally varying medium: An exploration in the frequency domain

Electromagnetic Scattering from 2-D Conducting Objects with Arbitrary Smooth Shape: Complete Mathematical Formulation of the Method of Auxiliary Sources for E-polarized Case

Impact of Radon transform on plane wave diffraction by an impedance step geometry

Contact Info

Product

Resources

About