Complete Tunneling of Light Through Mu-Negative Media

Abstract

Abstract-We demonstrate complete tunneling of light through largescale mu-negative media, which has negative permeability but positive permittivity, by constructing a quasi-one-dimensional structure with side branches. For the structure with a single side branch, there always exists a transmission peak which can be easily tuned by varying the parameters of the side branch. For the structure with periodic array of side branches, the transmission peak is enlarged to a band, which exhibits left-handedness, and can be tuned by changing the distance between two neighboring side branches and the length of the side branch.

Surface operators in 𝒩 = 2 abelian gauge theory

“…However, just as in the non-supersymmetric case, for a nontrivially-embedded surface operator, exact S-duality holds if and only if the "quantum" parameter effectively vanishes, while the overall SL(2, Z) (or Γ 0 (2)) duality holds up to a c-number at most, regardless. Nevertheless, this observation sets the stage for forthcoming work [2] that will provide, among other things, a physical proof of a remarkable mathematical result by Kronheimer and Mrowka [1], which, expresses a "ramified" analog 1 of the Donaldson invariants of a four-manifold solely in terms of the ordinary Donaldson invariants. This mathematical result is also crucial to the formulation of an important structure theorem in Donaldson theory [1,16], that first motivated the interpretation of the ordinary Donaldson invariants in terms of the ordinary Seiberg-Witten invariants in [17].…”

“…However, for nontrivially-embedded surface operators, exact S-duality holds if and only if the "quantum" parameter effectively vanishes, while the overall SL(2, Z) (or Γ 0 (2)) duality holds up to a c-number at most, regardless. Nevertheless, this observation sets the stage for a physical proof of a remarkable mathematical result by Kronheimer and Mrowka [1]-that expresses a "ramified" analog of the Donaldson invariants solely in terms of the ordinary Donaldson invariants-which, will appear, among other things, in forthcoming work [2]. As a prelude to that, the effective interaction on the corresponding u-plane will be computed.…”

“…In this final section, we shall, in anticipation of forthcoming work [2] that will compute the generating function of "ramified" Donaldson invariants in terms of a u-plane integral and the "ramified" Seiberg-Witten invariants at u = ±1, investigate the possible dependence of the low-energy abelian theory (and consequently, the Seiberg-Witten theory) on certain second Stiefel-Whitney classes. For non-spin manifolds, we shall also investigate the possible appearance of a Spin c structure.…”

“…In doing so, we will stumble upon an interesting phase factor-which does not necessarily vanish even on spin manifolds-that is absent in the "unramified" case. To this end, we shall generalise the analysis in §4 of [25] to include surface operators, and consider the underlying microscopic gauge groups to be either SU (2) or SO(3).…”

Electromagnetic Filters Based on a Single Negative Photonic Comb-Like Structure

“…Recently, a metallic comblike waveguide structure was studied, showing the possibility of achieving high transmission through negative-permittivity chain with the scale of a wavelength [33]. Another work manages to achieve complete tunneling through MNG media by using the comb-like structure [34]. A defect is one of the elements for which the star waveguide structure is developed and can filter a given frequency very effectively out of different frequencies.…”