Controllable band structure in a periodic quantum well

Pogrebnyak, V. A.

doi:10.1103/physrevb.69.245307

Cited by 9 publications

(5 citation statements)

References 13 publications

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“…The calculation scheme for function ψ − (z|n) is completely analogous to that for ψ + (z|n), differing only by the inversion of axis z. By performing the calculations and by inserting the obtained expressions for ψ ± (z|n) into formula (17), the trial Green function in the corrugated waveguide segment can be expressed as a sum of four terms each of which is proportional to the product of Bloch eigenfunctions running in opposite directions, viz.…”

Section: Figmentioning

confidence: 99%

“…feature of our problem is that the average height of the effective potential barrier, being proportional to the square of parameter Ξ, appears to be governed by the sharpness of the corrugation profile. Below we give a brief account of the calculation procedure for causal functions ψ ± (z|n) and, correspondingly, for Green function (17). Consider, for definiteness, function ψ + (z|n); function ψ − (z|n) can be found analogously.…”

Section: A the Trial Green Functionmentioning

confidence: 99%

“…By now, there has been a number of works on wave propagation in periodically corrugated waveguides (see, e. g., Refs. [15][16][17][18][19][20] and references therein). Many peculiarities of their spectra are studied in more detail.…”

Section: Introductionmentioning

confidence: 99%

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The sharpness-induced mode stopping and spectrum rarefication in waveguides with periodically corrugated walls

Goryashko

Tarasov

Shostenko

2013

Waves in Random and Complex Media

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Starting from the rigorous excitation equation, the propagation of waves through a 2D waveguide with the periodically corrugated finite-length insert is examined in detail. The corrugation profile is chosen to obey the property that its amplitude is small as compared to the waveguide width, whereas the sharpness of the asperities is arbitrarily large. With the aid of the method of mode separation, which was developed earlier for inhomogeneous-in-bulk waveguide systems [Waves Random Media 10, 395 (2000)], the corrugated segment of the waveguide is shown to serve as the effective scattering barrier whose width is coincident with the length of the insert and the average height is controlled by the sharpness of boundary asperities. Due to this barrier, the mode spectrum of the waveguide can be substantially rarefied and adjusted so as to reduce the number of extended modes to the value arbitrarily less than that in the absence of corrugation (up to zero), without changing considerably the waveguide average width.

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Section: Figmentioning

confidence: 99%

Section: A the Trial Green Functionmentioning

confidence: 99%

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The sharpness-induced mode stopping and spectrum rarefication in waveguides with periodically corrugated walls

Goryashko

Tarasov

Shostenko

2013

Waves in Random and Complex Media

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“…These forbidden bands are usually attributed to the well-known Bragg resonance, which are caused by the strong interference between THz waves with the same transverse standing-wave mode. However, in addition to the typical Bragg resonance, there are also the so-called non-Bragg resonances with more effective reflections, which is induced by the interactions of different transverse modes in periodic waveguides [33][34][35][36][37]. The non-Bragg resonance is usually ignored, and even sometimes mistaken for Bragg resonances.…”

Section: Introductionmentioning

confidence: 99%

Antisymmetric localization of terahertz defect modes in a planar waveguide with undulated walls

Ma¹,

Liu²,

Zhang³

et al. 2022

Phys. Scr.

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Although various terahertz (THz) functional devices based on artificial materials have been widely proposed, their performance is still unsatisfactory due to the limitation of the involved guided wave modes. The introduction of defects can result in a strong localization effect, which has been found in applications of improving device performance. Due to Bragg resonances, the localization is usually symmetrical about the center of defects. Here, based on multiple mode resonances, we demonstrate an antisymmetric localization of THz waves in a periodic parallel plate waveguide with non-Bragg nature resonances. Unexpectedly, such resonances can produce two extremely narrow transmissions with a transmittance close to 1, and the narrowest linewidth can reach 2 MHz and the Q-factor is close to 7.5×105, which would be good candidates for THz filtering and sensing. Referring to the field distributions, we employ the mathematical operation symbols of the equal sign “=” and the multiplication sign “×” to intuitively mark these two antisymmetric localizations with different characteristics. The dispersion curves and mode analysis reveal that the observed antisymmetric localizations caused by non-Bragg resonances are induced by the first- and second-order transverse modes. Furthermore, the frequency of antisymmetric localizations can be manipulated by changing the geometry of defects. Our findings on extremely narrow transmission peaks and antisymmetric localizations pave a way for creating high performance THz functional devices, such as switches, filters, and sensors.

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“…Wave propagation in periodic structure is a classical problem. It is now still of great interest due to its applications in microwave communications, quantum physics, photonic crystals, integrated optical and electronic devices [1][2][3][4][5][6][7]. Although this topic has been investigated for decades, there are still some issues, such as electromagnetic wave propagation in a corrugated waveguide, need further study.…”

Section: Introductionmentioning

confidence: 99%

Observation of Geometric Resonance in a Corrugated Waveguide

Cheng¹,

Chakraborty²,

Mishra³

et al. 2010

PIERS Online

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Geometric resonance phenomenon in a corrugated waveguide is investigated both theoretically and experimentally. By solving wave equation under the periodic boundary condition in a corrugated waveguide, geometric resonance conditions are derived. This resonance is associated with the waveguide thickness and the phase shift between the corrugated walls of the waveguide. A corrugated waveguide is fabricated and measured by an HP 8510c Vector Network Analyzer, measurement results agree with the theoretical prediction. This work is meaningful for microwave communications, quantum physics, photonic crystals, integrated optical and electronic devices. The theory is also of significance to the research on periodic quantum well.

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Controllable band structure in a periodic quantum well

Cited by 9 publications

References 13 publications

The sharpness-induced mode stopping and spectrum rarefication in waveguides with periodically corrugated walls

The sharpness-induced mode stopping and spectrum rarefication in waveguides with periodically corrugated walls

Antisymmetric localization of terahertz defect modes in a planar waveguide with undulated walls

Observation of Geometric Resonance in a Corrugated Waveguide

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