Exact Geometrical-Optics Scattering by a Class of Metallic Wedges Under Multiple Plane-Wave Illumination

2020 ◽  
Vol 1 ◽  
Keyword(s):  
Plane Wave ◽  
Geometrical Optics ◽  
Multiple Plane

Electromagnetic waves

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Plane Wave ◽  
Electromagnetic Waves ◽  
Maxwell Equations ◽  
Plane Waves ◽  
Geometrical Optics ◽  
Particle Detection ◽  
Spatial Coordinates ◽  
A Charge

This chapter examines solutions to the Maxwell equations in a vacuum: monochromatic plane waves and their polarizations, plane waves, and the motion of a charge in the field of a wave (which is the principle upon which particle detection is based). A plane wave is a solution of the vacuum Maxwell equations which depends on only one of the Cartesian spatial coordinates. The monochromatic plane waves form a basis (in the sense of distributions, because they are not square-integrable) in which any solution of the vacuum Maxwell equations can be expanded. The chapter concludes by giving the conditions for the geometrical optics limit. It also establishes the connection between electromagnetic waves and the kinematic description of light discussed in Book 1.

scholarly journals Correction: Computing the T-matrix of a scattering object with multiple plane wave illuminations

2018 ◽  
Vol 9 ◽  
pp. 953-953
Author(s):  
Martin Fruhnert ◽  
Ivan Fernandez-Corbaton ◽  
Vassilios Yannopapas ◽  
Carsten Rockstuhl
Keyword(s):  
Plane Wave ◽  
T Matrix ◽  
Multiple Plane

Geometrical optics approximation for plane-wave scattering by a rectangular groove on a surface

2020 ◽  
Vol 59 (8) ◽  
pp. 2600 ◽  
Author(s):  
Zhaolou Cao ◽  
Fenping Cui ◽  
Fenglin Xian ◽  
Jinhua Li ◽  
Shixin Pei
Keyword(s):  
Plane Wave ◽  
Wave Scattering ◽  
Geometrical Optics ◽  
Plane Wave Scattering ◽  
Rectangular Groove

Full-Waveform Inversion of High-Frequency Teleseismic Body Waves Based on Multiple Plane-Wave Incidence: Methods and Practical Applications

2021 ◽  
Author(s):  
Kai Wang ◽  
Yi Wang ◽  
Xin Song ◽  
Ping Tong ◽  
Qinya Liu ◽  
...  
Keyword(s):  
Plane Wave ◽  
Hybrid Method ◽  
Waveform Inversion ◽  
Body Waves ◽  
Full Waveform Inversion ◽  
Full Waveform ◽  
Multiple Plane ◽  
Spherical Curvature ◽  
Wave Incidence ◽  
Plane Wave Incidence

ABSTRACT Teleseismic full-waveform inversion has recently been applied to image subwavelength-scale lithospheric structures (typically a few tens of kilometers) by utilizing hybrid methods in which an efficient solver for the 1D background model is coupled with a full numerical solver for a small 3D target region. Among these hybrid methods, the coupling of the frequency–wavenumber technique with the spectral element method is one of the most computationally efficient ones. However, it is normally based on a single plane-wave incidence, and thus cannot synthesize secondary global phases generated at interfaces outside the target area. To remedy the situation, we propose to use a multiple plane-wave injection method to include secondary global phases in the hybrid modeling. We investigate the performance of the teleseismic full-waveform inversion based on single and multiple plane-wave incidence through an application in the western Pyrenees and compare it with previously published images and the inversion based on a global hybrid method. In addition, we also test the influence of Earth’s spherical curvature on the tomographic results. Our results demonstrate that the teleseismic full-waveform inversion based on a single plane-wave incidence can reveal complex lithospheric structures similar to those imaged using a global hybrid method and is reliable for practical tomography for small regions with an aperture of a few hundred kilometers. However, neglecting the Earth’s spherical curvature and secondary phases leads to errors on the recovered amplitudes of velocity anomalies (e.g., about 2.8% difference for density and VS, and 4.2% for VP on average). These errors can be reduced by adopting a spherical mesh and injecting multiple plane waves in the frequency–wavenumber-based hybrid method. The proposed plane-wave teleseismic full-waveform inversion is promising for mapping subwavelength-scale seismic structures using high-frequency teleseismic body waves (>1  Hz) including coda waves recorded at large N seismic arrays.

Multiple-plane-wave theory of gap anisotropy in Al

1976 ◽  
Vol 24 (1-2) ◽  
pp. 25-34 ◽  
Author(s):  
H. K. Leung ◽  
J. P. Carbotte ◽  
C. R. Leavens
Keyword(s):  
Plane Wave ◽  
Wave Theory ◽  
Gap Anisotropy ◽  
Multiple Plane
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