Photonic band structures of one- and two-dimensional periodic systems with metallic components in the presence of dissipation

Kuzmiak, Vladimír; Maradudin, A. A.

doi:10.1103/physrevb.55.7427

Cited by 222 publications

(139 citation statements)

References 29 publications

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“…Then a similar metallic structure which took into account dissipation was computed in Ref. [6]. Superconducting photonic crystals of such kind were considered in [7].…”

Section: Introductionmentioning

confidence: 99%

Guided modes in the plane array of optical waveguides

et al. 2017

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It is known that, for the isolated dielectric cylinder waveguide, there exists the cutoff frequency ω * below which there are no guided (radiationless) modes. It is shown in the paper that the infinite plane periodic array of such waveguides possesses guided modes in the frequency domain which is below the frequency ω * . So far as the finite array is concerned, the modes in this frequency domain are weakly radiating ones, but their quality factor Q increases as Q(N ) ∼ N 3 , N being the number of the waveguides in the array. This dependence is obtained both numerically, using the multiple scattering formalism, and is justified within the framework a simple analytical model.

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“…Then a similar metallic structure which took into account dissipation was computed in Ref. [6]. Superconducting photonic crystals of such kind were considered in [7].…”

Section: Introductionmentioning

confidence: 99%

Guided modes in the plane array of optical waveguides

et al. 2017

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“…The above analysis can be used in order to interpret remarkable results found by Kuzmiak et al [11]. These authors have studied the photonic band structure in periodic systems consisting of metallic components (thin regions showing dissipation) in combination with vacuum or a dielectric.…”

Section: Discussionmentioning

confidence: 99%

“…In this paper special attention will be paid to the results of Kuzmiak et al [11] where a periodic system was studied, consisting of thin metallic regions in combination with non dissipating regions. These authors found a remarkable behaviour of the absorption coefficients and electromagnetic wave lifetimes for wave vectors near the zone boundaries.…”

Section: Introductionmentioning

confidence: 99%

The characteristics of photon and phonon standing waves in a periodic medium

Knuyt

Nesládek

2004

J. Phys.: Condens. Matter

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The main characteristics for the spatial variation of the photon and phonon wave fields at the band gap boundaries are derived for a one dimensional medium with periodic optical or acoustic parameters. The derivations are based on symmetry considerations and on analytical results derived from the basic differential equation for the wave field. A simple relation is derived between the band gap width and the derivative of the square modulus of the field at the interface between the regions of high and low wave velocity. The features of the standing waves are derived for various gap numbers and continuously varying acoustic/optical parameters of the medium. Using the results a remarkable asymmetric behaviour of the wave absorption near the Brillouin-zone boundaries could be explained in a straightforward way.

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“…Such OBG also be called the zero-n gap or single negative gap, but is insensitive to lattice parameter changed in contrast with the behavior exhibited by Bragg gap. Therefore, the dispersive or dissipative medium is used to form tunable PCs, such as semiconductor [21], metal [22], plasma [23] and superconductor [24].…”

Section: Introductionmentioning

confidence: 99%

Properties of Omnidirectional Photonic Band Gaps in Fibonacci Quasi-Periodic One-Dimensional Superconductor Photonic Crystals

Zhang¹,

Liu²,

Kong³

et al. 2012

PIER B

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Abstract-In this paper, the properties of the omnidirectional photonic band gap (OBG) realized by one-dimensional (1D) Fibonacci quasi-periodic structure which is composed of superconductor and isotropic dielectric have been theoretically investigated by the transfer matrix method (TMM). From the numerical results, it has been shown that this OBG is insensitive to the incident angle and the polarization of electromagnetic wave (EM wave), and the frequency range and central frequency of OBG cease to change with increasing Fibonacci order, but vary with the ambient temperature of system, the thickness of the superconductor, and dielectric layer, respectively. The bandwidth of OBG can be notably enlarged with increasing the superconductor thickness. Moreover, the frequency range of OBG can be narrowed with increasing the thickness of dielectric layer and ambient temperature. The damping coefficient of superconductor layers has no effect on the frequency range of OBG under lowtemperature conditions. It is shown that Fibonacci quasi-periodic 1D superconductor dielectric photonic crystals (SDPCs) have a superior feature in the enhancement frequency range of OBG. This kind of OBG has potential applications in filters, microcavities, and fibers, etc.

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Photonic band structures of one- and two-dimensional periodic systems with metallic components in the presence of dissipation

Cited by 222 publications

References 29 publications

Guided modes in the plane array of optical waveguides

Guided modes in the plane array of optical waveguides

The characteristics of photon and phonon standing waves in a periodic medium

Properties of Omnidirectional Photonic Band Gaps in Fibonacci Quasi-Periodic One-Dimensional Superconductor Photonic Crystals

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