Self-consisten dielectric response of a quasi-one-dimensional metal at high frequencies

1974 ◽  
Vol 10 (3) ◽  
pp. 1097-1108 ◽  
Author(s):  
P. F. Williams ◽  
Aaron N. Bloch
Keyword(s):  
Dielectric Response ◽  
High Frequencies ◽  
One Dimensional

Dielectric response of one-dimensional polar chains

2007 ◽  
Vol 127 (5) ◽  
pp. 054702 ◽  
Author(s):  
Dmitry V. Matyushov
Keyword(s):  
Dielectric Response ◽  
One Dimensional

Dielectric response of some solid electrolytes at low and high frequencies

1995 ◽  
Vol 71 (5) ◽  
pp. 843-850 ◽  
Author(s):  
M. Cutroni ◽  
A. Mandanici ◽  
A. Piccolo ◽  
C. Tomasi
Keyword(s):  
Dielectric Response ◽  
Solid Electrolytes ◽  
High Frequencies

scholarly journals Skin effect in rectangular conductors at high frequencies

1929 ◽  
Vol 122 (790) ◽  
pp. 533-542 ◽  
Keyword(s):  
High Frequency ◽  
Skin Effect ◽  
General Nature ◽  
Rectangular Section ◽  
Electrical Force ◽  
High Frequencies ◽  
One Dimensional ◽  
Finite Breadth ◽  
Parallel Strips ◽  
Cylindrical Conductors

There is at present little exact information either theoretical or experimental on the high frequency resistance of cylindrical conductors of rectangular section, although the general nature of the phenomenon is quite well known and has been exhaustively treated in the case of circular conductors by Kelvin, Heaviside, Russell and others. The first method of attack on the problem of the rectangular conductor is to treat it as a strip of infinite breadth when the problem becomes one dimensional and requires simply a solution of ∂ 2 E/∂ x 2 = 4πμ/ρ ∂E/∂ t E being the electrical force and μ and ρ the permeability and resistivity respectively. The solution of the problem for two parallel strips was first given by Rayleigh and it was shown that for high frequencies the current decreases exponentially toward the centre of the conductor, being confined effectively to a surface layer so that the resistance of the conductor was the same as if composed of surface strips of thickness (2πμω/ρ) -½ , ω to being the periodicity. This approximation, however, gives much too low values for the high frequency resistance of a conductor of finite breadth.

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