Resistive and thin dielectric disk antennas with axially symmetric excitation analyzed using the method of analytical regularization

2020 ◽  
pp. 417-437
Author(s):  
Nataliya Y. Bliznyuk ◽  
Alexander I. Nosich
Keyword(s):  
Axially Symmetric ◽  
Dielectric Disk ◽  
Analytical Regularization

Electromagnetic field of the circular magnetic source in biconical section

2020 ◽  
Vol 2020 (48) ◽  
pp. 5-10
Author(s):  
O.M. Sharabura ◽  
◽  
D.B. Kuryliak ◽  
Keyword(s):  
Field Pattern ◽  
Geometrical Parameters ◽  
Algebraic Equations ◽  
Axially Symmetric ◽  
Reduction Procedure ◽  
Infinite Systems ◽  
Linear Algebraic Equations ◽  
Regularization Techniques ◽  
Far Field Pattern ◽  
Analytical Regularization

The problem of axially-symmetric electromagnetic wave diffraction from the perfectly conducting biconical scatterer formed by the finite cone placed in the semi-infinite conical region is solved rigorously using the mode-matching and analytical regularization techniques. The problem is reduced to the infinite systems of linear algebraic equations (ISLAE) of the second kind. The obtained equations admit the reduction procedure and can be solved with a given accuracy for any geometrical parameters and frequency. The numerical examples of the solution are presented. The analysis of the source location influences on the far-field pattern for different geometrical parameters of the bicone is carried out.

Acoustic Plane Wave Diffraction from a Circular Soft Ring

2019 ◽  
Vol 105 (5) ◽  
pp. 805-813 ◽  
Author(s):  
Victor Lysechko ◽  
Dozyslav Kuryliak
Keyword(s):  
Near Field ◽  
Mode Matching ◽  
Algebraic Equations ◽  
Axially Symmetric ◽  
Total Field ◽  
Linear Algebraic Equations ◽  
Comparison Of The Results ◽  
Plane Wave Diffraction ◽  
Analytical Regularization ◽  
Rigorous Method

The paper presents the implementation of the rigorous method of analytical regularization to the canonical problem of axially-symmetric diff raction from a soft ring. The series equations of the problem are reduced to an infinite series of linear algebraic equations (ISLAE) and the technique of analytical regularization is applied. Finally, the resulting matrix equation is the ISLAE of the second kind and can be solved numerically by the truncation method with any desired accuracy. The near field in the vicinity of the aperture of the ring is presented in the form of maps of the normalised total field. The far field features of the ring are obtained and discussed. The validation of our calculation is confirmed by testing of the mode matching conditions and through the comparison of the results with those for a disc.

Solar Internal Rotation and Dynamo Waves: A Two-Dimensional Asymptotic Solution in the Convection Zone

2000 ◽  
Vol 179 ◽  
pp. 379-380
Author(s):  
Gaetano Belvedere ◽  
Kirill Kuzanyan ◽  
Dmitry Sokoloff
Keyword(s):  
Magnetic Field ◽  
Asymptotic Solution ◽  
Internal Rotation ◽  
Convection Zone ◽  
General Idea ◽  
Dynamo Model ◽  
Axially Symmetric ◽  
Dynamo Action ◽  
Regeneration Rate ◽  
Dynamo Waves

Extended abstractHere we outline how asymptotic models may contribute to the investigation of mean field dynamos applied to the solar convective zone. We calculate here a spatial 2-D structure of the mean magnetic field, adopting real profiles of the solar internal rotation (the Ω-effect) and an extended prescription of the turbulent α-effect. In our model assumptions we do not prescribe any meridional flow that might seriously affect the resulting generated magnetic fields. We do not assume apriori any region or layer as a preferred site for the dynamo action (such as the overshoot zone), but the location of the α- and Ω-effects results in the propagation of dynamo waves deep in the convection zone. We consider an axially symmetric magnetic field dynamo model in a differentially rotating spherical shell. The main assumption, when using asymptotic WKB methods, is that the absolute value of the dynamo number (regeneration rate) |D| is large, i.e., the spatial scale of the solution is small. Following the general idea of an asymptotic solution for dynamo waves (e.g., Kuzanyan & Sokoloff 1995), we search for a solution in the form of a power series with respect to the small parameter |D|–1/3(short wavelength scale). This solution is of the order of magnitude of exp(i|D|1/3S), where S is a scalar function of position.

Unstable axially symmetric mhd flow between rotating boundaries

2001 ◽  
Vol 7 (2s) ◽  
pp. 19-25
Author(s):  
A.A. Loginov ◽  
◽  
Yu.I. Samoilenko ◽  
V.A. Tkachenko ◽  
◽  
...  
Keyword(s):  
Mhd Flow ◽  
Axially Symmetric
Sign in / Sign up

Export Citation Format

Share Document