Three-dimensional planar surface-current equivalence theorem with application to receiving antennas as linear differential operators

Radio Science ◽  
2002 ◽  
Vol 37 (2) ◽  
pp. VIC 4-1-VIC 4-10 ◽  
Author(s):  
A. D. Yaghjian
Keyword(s):  
Differential Operators ◽  
Three Dimensional ◽  
Surface Current ◽  
Equivalence Theorem ◽  
Planar Surface ◽  
Linear Differential Operators ◽  
Linear Differential

Second-Order Radiation Condition of Scattering Wave and Its Application

1990 ◽  
Vol 112 (3) ◽  
pp. 177-180
Author(s):  
J. Li ◽  
H. Huang
Keyword(s):  
Differential Operators ◽  
Three Dimensional ◽  
Radiation Condition ◽  
Second Order ◽  
Wave Forces ◽  
Interior Region ◽  
Linear Differential Operators ◽  
Scattering Wave ◽  
Linear Differential ◽  
Radiation Conditions

The first and second-order radiation conditions for scattering waves in two and three-dimensional problems have been derived by virtue of a sequence of linear differential operators. The wave forces on a large circular cylinder are computed by using finite element methods with first and second-order radiation conditions and the Sommerfeld condition, respectively. The results show that an improvement in accuracy is achieved by employing the second-order radiation condition. The interior region in which finite elements are employed can be restricted to a much smaller one, compared with that using the Sommerfeld condition and the computing efforts and required storage in the computer are reduced.

scholarly journals POLYNOMIAL DEFORMATIONS OF sl(2, ℝ) IN A THREE-DIMENSIONAL INVARIANT SUBSPACE OF MONOMIALS

2003 ◽  
Vol 18 (15) ◽  
pp. 1013-1022 ◽  
Author(s):  
N. DEBERGH ◽  
J. NDIMUBANDI ◽  
B. VAN DEN BOSSCHE
Keyword(s):  
Invariant Subspace ◽  
Differential Operators ◽  
Three Dimensional ◽  
Dimensional Subspace ◽  
Finite Dimensional Subspace ◽  
Linear Differential Operators ◽  
Finite Dimensional ◽  
Linear Differential

New finite-dimensional representations of specific polynomial deformations of sl (2, ℝ) are constructed. The corresponding generators can be, in particular, realized through linear differential operators preserving a finite-dimensional subspace of monomials. We concentrate on three-dimensional spaces.

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