Computation of RF Surface Resistance Using the Anomalous Skin Effect Theory (Correspondence)

Experimental values of the monochromatic, near normal emittance, ελN, of gold at cryogenic temperatures are presented and compared with values predicted by existing theoretical models. From this comparison recommendations are made regarding the engineering suitability of these models. Data obtained by the present authors for ελN of gold in the wavelength range 1 to 30μ and at temperatures of 300, 79, and 6.0 K are compared with the Drude free electron model, the anomalous skin effect theory for both specular and diffuse electron reflections, and the Holstein quantum mechanical model. Results show that the anomalous skin effect model with diffuse electron reflections predicts ελN most accurately. At room temperature and at liquid nitrogen temperature the agreement between this model and the data is within 5 percent. At liquid helium temperatures the agreement is somewhat poorer, i.e., within 30 percent.

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The surface impedance of superconductors and normal metals at high frequencies. IV. Impedance at 9400 Mc. /sec. of single crystals of normal and superconducting tin

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1950.0128 ◽

1950 ◽

Vol 203 (1072) ◽

pp. 98-118 ◽

Cited By ~ 66

Keyword(s):

Single Crystals ◽

Surface Impedance ◽

Surface Resistance ◽

Skin Effect ◽

Scaling Factors ◽

High Frequencies ◽

Normal Metals ◽

Anomalous Skin Effect ◽

The Difference ◽

Fundamental Equations

The measurements described in the earlier papers of this series have been extended to 9400 Mc. /sec., a resonance technique being employed to determine the surface resistance of normal and superconducting tin, and the difference between the surface reactances of the material in the two states. Measurements on single crystals of different orientations have brought to light a marked anisotropy of all these quantities, of a kind which shows clearly the non-tensorial nature of the fundamental equations relating the field vectors. The prediction of the theory of the anomalous skin effect in normal metals, that the surface resistance should vary with frequency as ω ⅔ , is confirmed. The temperature variation of the resistance and reactance of superconducting tin has been studied in detail for a number of specimens of different orientations, and it has been found that over certain ranges of temperature the shapes of corresponding curves for different specimens are similar, apart from scaling factors depending on the orientation; the values of these scaling factors are used to characterize the surface impedance of each orientation.

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Thick Film Analysis of Radiative Transfer Between Parallel Metallic Surfaces

Journal of Heat Transfer ◽

10.1115/1.3449675 ◽

1970 ◽

Vol 92 (3) ◽

pp. 399-404 ◽

Cited By ~ 9

Author(s):

G. A. Domoto ◽

C. L. Tien

Keyword(s):

Optical Properties ◽

Radiative Transfer ◽

Thick Film ◽

Skin Effect ◽

Wave Theory ◽

Metallic Surfaces ◽

Radiative Fluxes ◽

Practical Applications ◽

Effect Theory ◽

Anomalous Skin Effect

The radiative transfer between two infinite parallel metallic surfaces separated by a nonconducting ideal dielectric is calculated on the basis of electromagnetic wave theory. The solution is restricted to the case of large spacing (thick film) wherein the effects of interference and radiation tunneling can be neglected. The optical properties of the metals are predicted via the anomalous skin effect theory, the Drude single electron theory and the Hagen-Rubens relation. A comparison of the predicted radiative fluxes indicates the large disparities which result from the three different specifications of the optical properties of metals. For practical applications at cryogenic temperatures, approximations are obtained for the thick film solution using the anomalous skin effect theory of the optical properties.

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Applicability of the Anomalous Skin-Effect Theory to the Optical Constants of Cu, Ag, and Au in the Infrared*

Journal of the Optical Society of America ◽

10.1364/josa.56.000683 ◽

1966 ◽

Vol 56 (5) ◽

pp. 683 ◽

Cited By ~ 42

Author(s):

A. P. Lenham ◽

D. M. Treherne

Keyword(s):

Optical Constants ◽

Skin Effect ◽

Effect Theory ◽

Anomalous Skin Effect

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The anomalous skin effect in anisotropic metals

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1954.0157 ◽

1954 ◽

Vol 224 (1157) ◽

pp. 273-282 ◽

Cited By ~ 56

Keyword(s):

Fermi Surface ◽

High Frequency ◽

Surface Resistance ◽

Skin Effect ◽

Geometrical Shape ◽

Fermi Surfaces ◽

Anomalous Skin Effect ◽

Energy Surfaces

It is shown that the theoretical form of the anisotropy of the high-frequency surface resistance of a metal having spheroidal energy surfaces, calculated exactly by Sondheimer, may be obtained also in the extreme anomalous limit by means of the ineffectiveness concept. This result is taken to justify the application of the simpler ineffectiveness method to metals having Fermi surfaces of any form, and it is shown that the resistance is related solely to the geometrical shape of the Fermi surface. The possible application of this result in the study of metals is discussed.

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