Numerical computation of the interaction between electromagnetic waves and nonlinear superconducting materials

Caorsi, S.; Massa, Andrea; Pastorino, Matteo

doi:10.1109/22.954788

Cited by 6 publications

(4 citation statements)

References 44 publications

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“…By two-fluid model we can find the permittivity with respect to order parameter in all along the superconductor. The effective dielectric constant is here given by [5] ,…”

Section: Theoretical Model and Analysismentioning

confidence: 99%

Precision photonic band structure calculation of Abrikosov periodic lattice in type-II superconductors

Kokabi

Zandi

Khorasani

et al. 2007

Physica C: Superconductivity

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We have performed a numerical solution for band structure of an Abrikosov vortex lattice in type-II superconductors forming a periodic array in two dimensions for applications of incorporating the photonic crystals concept into superconducting materials with possibilities for optical electronics. The implemented numerical method is based on the extensive numerical solution of the Ginzburg-Landau equation for calculating the parameters of the two-fluid model and obtaining the band structure from the permittivity, which depends on the above parameters and the frequency. This is while the characteristics of such crystals highly vary with an externally applied static normal magnetic field, leading to nonlinear behavior of the band structure, which also has nonlinear dependence on the temperature. The similar analysis for every arbitrary lattice structure is also possible to be developed by this approach as presented in this work. We also present some examples and discuss the results.

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“…By two-fluid model we can find the permittivity with respect to order parameter in all along the superconductor. The effective dielectric constant is here given by [5] ,…”

Section: Theoretical Model and Analysismentioning

confidence: 99%

Precision photonic band structure calculation of Abrikosov periodic lattice in type-II superconductors

Kokabi

Zandi

Khorasani

et al. 2007

Physica C: Superconductivity

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“…In several papers, the nonlinear model was represented by a quadratic nonlinearity, whereas in other studies, different nonlinear behaviors were found to be suitable Wolff, 1996a, 1996b], especially in the presence of high magnetic fields. A quadratic nonlinearity was also assumed in a computational approach [Caorsi et al, 2001] devised for studying the interaction between an incident wave and a superconducting cylinder modeled by a negative permittivity. In the same paper, a preliminary result conceming the guided propagation has been reported with reference to the same degree of nonlinearity.…”

Section: Introduction Materials and In Particular To Devise Methodomentioning

confidence: 99%

“…and extended bySheen et al [1991] to deal with superconducting materials. In particular, a resistance matrix is constructed, whose elements are given by rib (H) --Re on_•i• -3similar to the so-called distortedwave Born approximation, which has been applied byCaorsi et al [1993] to nonlinear dielectrics and detailed byCaorsi et al [2001] for the computation of the interactions between an incident wave and a superconducting object. In particular, at each iteration, the magnetic field is obtained on the basis of the current density of the previous step, starting with the linearcase.…”

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confidence: 99%

A numerical approach for the evaluation of the nonlinear effects on the attenuation constant in high‐temperature superconducting transmission lines

Caorsi¹,

Donelli²,

Massa³

et al. 2001

Radio Science

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Abstract. Superconducting materials exhibit an experimentally verified nonlinear dependence with respect to the magnetic field. In this paper, this nonlinearity is taken into account in the evaluation of the attenuation constant in propagating structures of practical usage. Quadratic and cubic nonlinearifies are considered, and an iterative numerical procedure is applied to calculate the attenuation constant. The nonlinearity in the penetration depth is also considered. In section 3, some typical structures are investigated. In particular, parallel-plane transmission lines filled by dielectric materials, microstrip lines, and striplines are considered. Comparisons with exsisting results show that this nonlinear behavior cause significant changes in the attenuation parameters.

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“…Other works addressing the interaction between electromagnetic waves and nonlinear superconducting materials have been presented mainly within the microwave community. A complete study with numerical computations can be found in [8].…”

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confidence: 99%

Electromagnetic wave scattering by a superconductor

Fiolhais¹,

Essén²

2012

EPL

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The interaction between radiation and superconductors is explored in this paper. In particular, the calculation of a plane standing wave scattered by an infinite cylindrical superconductor is performed by solving the Helmholtz equation in cylindrical coordinates. Numerical results computed up to O(77) of Bessel functions are presented for different wavelengths showing the appearance of a diffraction pattern.The following article is published in Europhysics Letters: http://iopscience.iop.org/0295-5075/97/4/44006/.

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Numerical computation of the interaction between electromagnetic waves and nonlinear superconducting materials

Abstract: International audienc

Cited by 6 publications

References 44 publications

Precision photonic band structure calculation of Abrikosov periodic lattice in type-II superconductors

Precision photonic band structure calculation of Abrikosov periodic lattice in type-II superconductors

A numerical approach for the evaluation of the nonlinear effects on the attenuation constant in high‐temperature superconducting transmission lines

Electromagnetic wave scattering by a superconductor

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