Attenuation in Superconducting Rectangular Waveguides

Yeap, Kim Ho; Teh, Joyce Shu Mei; Nisar, Humaira; Yeong, Kee Choon; Hirasawa, Kazuhiro

doi:10.1515/freq-2014-0078

Cited by 4 publications

(7 citation statements)

References 30 publications

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“…The results found in the superconducting circular waveguide agree with those of the superconducting rectangular waveguide. They, therefore, corroborate the findings in [12]. …”

Section: Resultssupporting

confidence: 90%

“…∆ = ∆ 1 + j∆ 2 , where ∆ 1 and ∆ 2 are real [10], [11]. Here, ∆ 1 can be expressed with the real gap energy given below [12,13] …”

Section: Superconducting Complex Conductivitymentioning

confidence: 99%

“…Measurements on the surface resistance of the superconductor were found to agree with those computed using this extended Mattis-Bardeen theory. Since the new equations are able to give a more realistic behavior of a superconductor, we have applied them in [12] to analyze wave propagation in superconducting rectangular waveguides. Here, we extend further our approach to the case of a superconducting circular waveguide.…”

Section: Introductionmentioning

confidence: 99%

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Attenuation in Superconducting Circular Waveguides

Yeap¹,

Ong²,

Nisar³

et al. 2016

AEM

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We present an analysis on wave propagation in superconducting circular waveguides. In order to account for the presence of quasiparticles in the intragap states of a superconductor, we employ the characteristic equation derived from the extended Mattis-Bardeen theory to compute the values of the complex conductivity. To calculate the attenuation in a circular waveguide, the tangential fields at the boundary of the wall are first matched with the electrical properties (which includes the complex conductivity) of the wall material. The matching of fields with the electrical properties results in a set of transcendental equations which is able to accurately describe the propagation constant of the fields. Our results show that although the attenuation in the superconducting waveguide above cutoff (but below the gap frequency) is finite, it is considerably lower than that in a normal waveguide. Above the gap frequency, however, the attenuation in the superconducting waveguide increases sharply. The attenuation eventually surpasses that in a normal waveguide. As frequency increases above the gap frequency, Cooper pairs break into quasiparticles. Hence, we attribute the sharp rise in attenuation to the increase in random collision of the quasiparticles with the lattice structure.

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“…The results found in the superconducting circular waveguide agree with those of the superconducting rectangular waveguide. They, therefore, corroborate the findings in [12]. …”

Section: Resultssupporting

confidence: 90%

“…∆ = ∆ 1 + j∆ 2 , where ∆ 1 and ∆ 2 are real [10], [11]. Here, ∆ 1 can be expressed with the real gap energy given below [12,13] …”

Section: Superconducting Complex Conductivitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Attenuation in Superconducting Circular Waveguides

Yeap¹,

Ong²,

Nisar³

et al. 2016

AEM

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“…Due to the skin effect, transmission lines become very lossy at THz frequencies. Hence, waveguides are used instead to couple the signal and to channel it to the receivers [28][29][30].…”

Section: Terahertz Wavementioning

confidence: 99%

Introductory Chapter: Electromagnetism

Yeap¹,

Hirasawa²

2019

Electromagnetic Fields and Waves

Self Cite

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“…A fundamental and accurate approach to compute the attenuation of electromagnetic waves propagating has been proposed [3]. The propagation constant was found by substituting the values of transverse wave numbers into the dispersion relation.…”

Section: Introductionmentioning

confidence: 99%

Techniques for Calculating Two Interesting Types of Dielectric Materials in Straight Rectangular Waveguides and Their Applications

Menachem¹

2020

Modern Applications of Electrostatics and Dielectrics

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This chapter presents two interesting types of dielectric materials in the straight rectangular waveguides. Five examples of the different discontinuous cross sections and complementary shapes will demonstrate. We will introduce in all case the effective technique to calculate the dielectric profile in the cross section. The first type will demonstrate where the dielectric material is located in the center of the cross section. The second type will demonstrate where the hollow core is located in the center of the cross section in the case of the hollow waveguide. The two different types are complementary shapes for two different applications. The proposed techniques relate to the method based on Laplace and Fourier transforms and the inverse Laplace and Fourier transforms. The method is based also on Fourier transform, thus we need use with the image method to calculate the dielectric profile in the cross section. The image method and periodic replication are needed for fulfilling the boundary condition of the metallic waveguide. The applications are useful for straight waveguides in millimeter regimes, in the cases where the dielectric profile is located in the center of the cross section, for cases where the hollow rectangle is located in the center of the cross section, and also for complicated and discontinuous profiles in the cross section.

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Attenuation in Superconducting Rectangular Waveguides

Cited by 4 publications

References 30 publications

Attenuation in Superconducting Circular Waveguides

Attenuation in Superconducting Circular Waveguides

Introductory Chapter: Electromagnetism

Techniques for Calculating Two Interesting Types of Dielectric Materials in Straight Rectangular Waveguides and Their Applications

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