scholarly journals Decomposition of scattered electromagnetic fields into vector spherical wave functions on surfaces with general shapes

2019 ◽  
Vol 99 (4) ◽  
Author(s):  
X. Garcia Santiago ◽  
M. Hammerschmidt ◽  
S. Burger ◽  
C. Rockstuhl ◽  
I. Fernandez-Corbaton ◽  
...  
Keyword(s):  
Electromagnetic Fields ◽  
Spherical Wave ◽  
Wave Functions

scholarly journals Expansion of arbitrary electromagnetic fields in terms of vector spherical wave functions

2016 ◽  
Vol 24 (3) ◽  
pp. 2370 ◽  
Author(s):  
Wendel Lopes Moreira ◽  
Antonio Alvaro Ranha Neves ◽  
Martin K. Garbos ◽  
Tijmen G. Euser ◽  
Carlos Lenz Cesar
Keyword(s):  
Electromagnetic Fields ◽  
Spherical Wave ◽  
Wave Functions

Spatial Order and Absorption of light by Monolayer of Silicon Nano- and Submicrometer-Sized Particles

2019 ◽  
Vol 18 (03n04) ◽  
pp. 1940025
Author(s):  
V. A. Loiko ◽  
A. A. Miskevich ◽  
N. A. Loiko
Keyword(s):  
Green Function ◽  
Absorption Coefficient ◽  
Electromagnetic Fields ◽  
Calculation Method ◽  
Crystalline Silicon ◽  
Spherical Wave ◽  
Multipole Expansion ◽  
Wave Functions ◽  
Spatial Order ◽  
Absorption Of Light

The effect of the spatial order of a monolayer of monodisperse spherical crystalline silicon nano- and submicrometer-sized particles upon its absorption coefficient is theoretically investigated. The calculation method is based on the quasicrystalline approximation of the theory of multiple scattering of waves and multipole expansion of electromagnetic fields and tensor Green function in terms of vector spherical wave functions. The results can be used for an enhancement of light harvesting in a solar cells design.

Reconstruction of Acoustic Radiation of a Vibrating Structure Located in a Half-Space Bounded by a Passive Surface with Finite Acoustic Impedance

2020 ◽  
Vol 28 (04) ◽  
pp. 2050019
Author(s):  
Daren Zhou ◽  
Huancai Lu ◽  
D. Michael McFarland ◽  
Yongxiong Xiao
Keyword(s):  
Half Space ◽  
Acoustic Impedance ◽  
Free Space ◽  
Plane Surface ◽  
Spherical Wave ◽  
Boundary Surface ◽  
Sound Field ◽  
Wave Functions ◽  
Reconstruction Method ◽  
Direct Radiation

Vibrating structures are often mounted on or located near a passive plane surface with finite acoustic impedance, and hence the acoustic pressures measured in a half-space bounded by the surface consist of both the direct radiation from the structure and the reflection from the boundary surface. In order to visualize the direct radiation from the source into free space, a reconstruction method based on expansion in half-space spherical wave functions is proposed. First, the series of half-space spherical wave functions is derived based on the analytical solution of the sound field due to a multipole source located near an impedance plane. Then the sound field in the half-space is approximated by the superposition of a finite number of half-space expansion terms. The expansion coefficients are determined by solving an overdetermined linear system of equations obtained by matching this assumed solution to the total acoustic pressures in the half-space. The free-space radiation can finally be reconstructed via multiplying the free-space spherical wave functions by the corresponding coefficients. Numerical simulation examples of a vibrating sphere and a vibrating baffled plate are demonstrated. The effects of specific acoustic impedance of the boundary and the locations of the measurement points on the accuracy of reconstruction are examined.

Coulomb wave functions in the theory of the circular paraboloidal waveguide

1988 ◽  
Vol 66 (3) ◽  
pp. 212-227 ◽  
Author(s):  
J. LoVetri ◽  
M. Hamid
Keyword(s):  
Electromagnetic Fields ◽  
Focal Plane ◽  
Focal Length ◽  
Coulomb Field ◽  
Wave Functions ◽  
Field Pattern ◽  
Current Loop ◽  
Far Field ◽  
Far Field Pattern ◽  
A Current

In this paper it is shown how the Coulomb wave functions, commonly used in the description of a Coulomb field surrounding a nucleus, can be used in the description of electromagnetic fields that are symmetric with respect of [Formula: see text] inside a paraboloidal waveguide. The Abraham potentials Q and U, which are useful in describing fields with rational symmetry, are used to simplify the problem. It is shown that these potentials must satisfy a partial differential equation that when separated yields the Coulomb wave equation of order L = 0. Electromagnetic fields due to simple source distributions inside the paraboloid are expanded in terms of these functions. Specifically, solutions for current-loop sources located in the focal plane of the paraboloid are obtained. The case where the wall of the paraboloidal waveguide is assumed to be perfectly conducting is treated as well as the case where the wall has finite impedance. The finite paraboloid is also considered, and the far field is formulated using Huygen's principle. It is found that for the finite surface-impedance case, the far-field pattern due to a current loop operating at 100 MHz in the focal plane of a paraboloidal reflector of 1 m focal length is different from the perfectly conducting case. Specifically, the pattern seems to be more omnidirectional for the impedance case than for the perfectly conducting case. Numerical results are presented for relevant aspects of the problem.

The Scattering Waves by Two Spheres in Solid

2013 ◽  
Vol 423-426 ◽  
pp. 1640-1643
Author(s):  
Yan Ru Zhang ◽  
Pei Jun Wei
Keyword(s):  
Wave Function ◽  
Cross Section ◽  
Spherical Wave ◽  
Addition Theorem ◽  
Wave Functions ◽  
Interface Condition ◽  
Elastic Sphere ◽  
Numerical Examples ◽  
Transmitted Waves ◽  
Expansion Coefficients

The scattering waves by two elastic spheres in solid are studied. The incident wave, the scattering waves in the host and the transmitted waves in the elastic spheres are all expanded in the series form of spherical wave functions. The total waves are obtained by addition of all scattered waves from individual elastic sphere. The addition theorem of spherical wave function is used to perform the coordinates transform for the scattering waves from different spheres. The expansion coefficients of scattering waves are determined by the interface condition between the elastic spheres and the solid host. The scattering cross section is computed as numerical examples.

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