Propagation of an electromagnetic wave based on a continuum model of kp-type in an almost circular bundle of packed metal nanotubes

Sadykov, N. R.; Jolnirov, S. E.

doi:10.1016/j.physe.2020.114574

Cited by 2 publications

(3 citation statements)

References 31 publications

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“…where the contour integral is taken over the total period of the classical motion of a particle. Condition (30) corresponds to the Bohr-Sommerfeld quantization principle of the old quantum theory and determines in the semiclassical case of the stationary states of the particle. From ( 28) and ( 29) it follows that the value of phase shift ∆𝜑, which was obtained proceeding from the dispersion equation for p −electrons with a rectangular potential energy profile U and the value of phase shift ∆𝜑 D, obtained from the continuum model of kp-type, are the same, if 𝜑 3 = 𝜋/2.…”

Section: Discussion Of Resultsmentioning

confidence: 99%

“…By using an optical microscope combined with a phosphor screen, we were able to increase the resolution of the measurement and the reported densities of 10 p ÷ 10 n cm B- [29]. In [30] based on the continuum model of kp-type, we proposed an approach for the approximate calculation of the electromagnetic guided waves characteristics on the almost circular, closely packed bundles of parallel, identical, and metallic carbon nanotubes. For the real parts of slow-wave coefficients Re𝛽 st for azimuthally symmetric guided-wave propagation that increase with the number of metallic CNTs in the bundle and tend in such bundles to unity, which is a characteristic of macroscopic metallic wires.…”

Section: Introductionmentioning

confidence: 99%

“…For the real parts of slow-wave coefficients Re𝛽 st for azimuthally symmetric guided-wave propagation that increase with the number of metallic CNTs in the bundle and tend in such bundles to unity, which is a characteristic of macroscopic metallic wires. From the results of [30]] (see Fig. 4) it follows that the real and imaginary parts of the slow-wave coefficient at 𝑑/𝑙 = 0.1 for 𝑁 = 10 o asymptotically approach stable values and are estimated as Re𝛽 st = 0.072, 𝐼𝑚𝛽 st = −0.011, where L is the length of CNTs and d is the nearest distance between CNTs in the Bundle.…”

Section: Introductionmentioning

confidence: 99%

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We consider the problem of field emission based on carbon nanotubes. The length of these nanotubes differ from several nanometers to several hundreds of nanometers. We obtain the particle transmission function, considering the difference of potentials on the ends of nanotubes to be 𝑈 = 2 ÷ 3.5 V. Basing on the transmission function we calculate emission current. We establish the dependence of the Nordheim function on the length of nanoparticles. The limiting transition is considered for the transmission coefficient for field emission from the cathode surface in the absence of nanoparticles on it. We establish the linear dependence of current I on the field strength W and the linear dependence of function 𝐼/𝑊on the inverse value of field strength 1/W.

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Section: Discussion Of Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Terahertz radiation generation process in the medium based on the array of the elongated nanoparticles

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We conduct a theoretical study and numerical simulations of terahertz radiation generation in the medium based on armchair-edge nanoribbons and zigzag nanotubes with metallic conductivity. The multicascade mechanism of radiation generation is considered in the task of terahertz radiation generation. The level of the injection current in nanoparticle arrays has been estimated. The task expands to the similar medium where radiation current is generated with the use of infrared radiation stimulated absorption, for example, radiation of a CO2 laser. Numerical results for the effective dielectric function have been obtained with the use of the effective mediumapproximation, the Maxwell-Garnett's theory and the Maxwell-Garnett model with the Clausius-Mossotti correction (geometrical model arrays).

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Propagation of an electromagnetic wave based on a continuum model of kp-type in an almost circular bundle of packed metal nanotubes

Cited by 2 publications

References 31 publications

Field emission in an array of homogeneous identical nanometer-long nanotubes

Field emission in an array of homogeneous identical nanometer-long nanotubes

Terahertz radiation generation process in the medium based on the array of the elongated nanoparticles

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