Restricted equivalence of paired epsilon–negative and mu–negative layers to a negative phase–velocity material (aliasleft–handed material)

Lakhtakia, Akhlesh; Krowne, Clifford M.

doi:10.1078/0030-4026-00266

Cited by 53 publications

(29 citation statements)

References 10 publications

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“…As a consequence, in the long-wavelength limit, we adopt effective medium approximation by introducing effective permittivity eff and permeability µ eff to study wave propagation in this Fibonacci multilayer structure. eff and µ eff of this nonperiodic structure are given by [32] …”

Section: Model and Numerical Methodsmentioning

confidence: 99%

Photonic Transmission Spectra in One-Dimensional Fibonacci Multilayer Structures Containing Single-Negative Metamaterials

Rahimi¹,

Namdar²,

Entezar³

et al. 2010

PIER

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Abstract-We investigate the transmission properties of the Fibonacci quasiperiodic layered structures consisting of a pair of double positive (DPS), epsilon-negative (ENG) or/and mu-negative (MNG) materials. It is found that there exist the polarization-dependent transmission gaps which are invariant with a change of scaling and insensitive to incident angles. Analytical methods based on transfer matrices and effective medium theory have been used to explain the properties of transmission gaps of DPS-MNG, DPS-ENG and ENG-MNG Fibonacci multilayer structures.

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Section: Model and Numerical Methodsmentioning

confidence: 99%

Photonic Transmission Spectra in One-Dimensional Fibonacci Multilayer Structures Containing Single-Negative Metamaterials

Rahimi¹,

Namdar²,

Entezar³

et al. 2010

PIER

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“…For an electrically thin bilayer [21], one can use (16) with two terms in the sums. The complete tunneling through the electrically thin trilayer, with the transfer matrix approximated by (15), is achieved either when m 12 = m 21 = 0 (17) in which case the trilayer stack behaves like an absentee layer, or when…”

Section: Notations and General Relationsmentioning

confidence: 99%

Electromagnetic Tunneling in Lossless Trilayer Stacks Containing Single-Negative Metamaterials

Cojocaru¹

2011

PIER

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Abstract-We analyze the transverse-electric wave propagation through lossless trilayer stacks containing single-negative (SNG) materials in which only one of the two material constants, permittivity (epsilon) or permeability (mu), is negative. We consider the following combinations: ENG/MNG/ENG, ENG/DPS/MNG, DPS/ENG/DPS, and ENG/DPS/ENG, where ENG refers to epsilon-negative, MNG to mu-negative, and DPS to double-positive media. The transfer matrix formalism is applied. Although the waves are evanescent in the SNG media, combining the SNG layers or the SNG and DPS layers, leads to some unusual features, such as the complete tunneling. Since the symmetrical trilayer is equivalent to a single homogeneous layer, the complete tunneling conditions are easily predicted analytically for the trilayer stacks, and we show that in most of cases, they are rather well applicable to the respective bilayer stacks. The field and the Poynting vector distributions are studied in different trilayers and, in some cases, in the respective bilayers. In particular, we show that the complete tunneling is facilitated theoretically in the electrically thin stacks. Similar results could be obtained for the transverse-magnetic waves and the respective dual combinations by using the duality principle.

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“…So a gap in ENG-MNG photonic band gap structure with similar properties is more useful than having such gap in a DPS-DNG structure. Also a periodic structure consisting of ENG and MNG layers can show a restricted equivalence with a homogenous slab of DNG material as shown in some recent studies [14,15]. More over the presence of high electric field localization at the low frequency edge of this gap can remarkably decrease the thresholds of input intensity for gap soliton [16,17] formation in the case of nonlinear wave propagation and the associated phenomenon of optical bistability can take place at extremely low values of input intensity which is a highly desirable situation for the process of optical switching.…”

Section: Introductionmentioning

confidence: 99%

Properties of the angular gap in a one-dimensional photonic band gap structure containing single negative materials

Ali

Abdullah

2008

Physics Letters A

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Abstract.The linear properties of the angular gap in a one-dimensional photonic band gap structure containing single negative material layers are investigated. This gap forms at oblique incidence due to total internal reflection into the air when the Snell's law breaks down and its lower edge occurs at the frequency where the refractive index of one or both layers of the structure approaches zero. This gap is found to be highly sensitive to the incident angle and the polarization of light, but is not affected by thickness ratio of the layers. It is also shown that the electric field is extremely enhanced at the low frequency edge of this gap for TM polarization. This highly enhanced electric field can be used for certain applications.

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Restricted equivalence of paired epsilon–negative and mu–negative layers to a negative phase–velocity material (aliasleft–handed material)

Cited by 53 publications

References 10 publications

Photonic Transmission Spectra in One-Dimensional Fibonacci Multilayer Structures Containing Single-Negative Metamaterials

Photonic Transmission Spectra in One-Dimensional Fibonacci Multilayer Structures Containing Single-Negative Metamaterials

Electromagnetic Tunneling in Lossless Trilayer Stacks Containing Single-Negative Metamaterials

Properties of the angular gap in a one-dimensional photonic band gap structure containing single negative materials

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