Wave-vector-space method for wave propagation in bounded media

1993 ◽  
Vol 48 (20) ◽  
pp. 15365-15371 ◽  
Author(s):  
B. Chen ◽  
D. F. Nelson
Keyword(s):  
Wave Propagation ◽  
Vector Space ◽  
Wave Vector ◽  
Space Method

Wave-vector space picture for radiationless focusing and beaming

2009 ◽  
Vol 34 (19) ◽  
pp. 2967 ◽  
Author(s):  
Varat Intaraprasonk ◽  
Shanhui Fan
Keyword(s):  
Vector Space ◽  
Wave Vector

Constitutive relations in classical optics in terms of geometric algebra

2015 ◽  
Vol 55 (2) ◽  
Author(s):  
Adolfas Dargys
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Vector Space ◽  
Closed System ◽  
Geometric Algebra ◽  
Electromagnetic Wave Propagation ◽  
Constitutive Relations ◽  
Three Dimensional ◽  
Basis Vectors

To have a closed system, the Maxwell electromagnetic equations should be supplemented by constitutive relations which describe medium properties and connect primary fields (E, B) with secondary ones (D, H). J.W. Gibbs and O. Heaviside introduced the basis vectors {i, j, k} to represent the fields and constitutive relations in the three-dimensional vectorial space. In this paper the constitutive relations are presented in a form of Cl3,0 algebra which describes the vector space by three basis vectors {σ1, σ2, σ3} that satisfy Pauli commutation relations. It is shown that the classification of electromagnetic wave propagation phenomena with the help of constitutive relations in this case comes from the structure of Cl3,0 itself. Concrete expressions for classical constitutive relations are presented including electromagnetic wave propagation in a moving dielectric.

Determining wave vector and material property from the phase-shift of spin-wave propagation

2008 ◽  
Vol 84 (2) ◽  
pp. 27009 ◽  
Author(s):  
Mingqiang Bao ◽  
Kin Wong ◽  
Alexander Khitun ◽  
Jooyoung Lee ◽  
Zhibiao Hao ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Phase Shift ◽  
Spin Wave ◽  
Material Property ◽  
Wave Vector

Design and Implementation of Chinese Information Filtering System

2013 ◽  
Vol 756-759 ◽  
pp. 1164-1167
Author(s):  
Xiu Mei Zhang
Keyword(s):  
Information Processing ◽  
Vector Space ◽  
Information Filtering ◽  
Experimental Results ◽  
Important Research ◽  
Index Method ◽  
Network Information ◽  
Design And Implementation ◽  
Tree Index ◽  
Space Method

With the development of the network information, information processing is vital in all aspects. Information filtering is more important research aspect. Especially Chinese information filtering is urgent affairs. According to research of the domestic and abroad, in the article vector space method and hyB+ tree index method is combined to filter text. Experimental results show that, this method is feasible.

Wave Propagation in Micromorphic Ferroelectric Solids

Materials ◽  
2003 ◽  
Author(s):  
James D. Lee ◽  
Youping Chen ◽  
Azim Eskandarian
Keyword(s):  
Wave Propagation ◽  
Wave Vector ◽  
Constitutive Equations ◽  
Maxwell's Equations ◽  
Linear Momentum ◽  
Constitutive Theory ◽  
Balance Laws ◽  
Frequency Wave ◽  
Thermoelastic Solid ◽  
Micromorphic Theory

The balance laws of mass, microinertia, linear momentum, moment of momentum, energy, and entropy for microcontinuum are integrated with the Maxwell’s equations. The general constitutive theory for micromorphic electromagnetic thermoelastic solid is constructed. Linear constitutive equations of specialized micromorphic theory for ferroelectric solids with axis symmetry are derived. The frequency-wave-vector relations of wave propagating in perovskites parallel and perpendicular to its c-axis are obtained.

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