Direct measurement of the negative Goos–Hänchen shift of single reflection in a two-dimensional photonic crystal with negative refractive index

Abstract

The negative Goos-Hänchen shift (GHS) on a two-dimensional photonic crystal with an effective negative refractive index is investigated by simulation and experiment. The measured refractive index of the fabricated photonic crystal is nearly -0.44. The difference between the Goos-Hänchen shift of the transverse electric wave G_TE and that of the transverse magnetic wave G_TM (DGHS) in the height direction of a silicon rod is measured at three incident angles. The result shows that DGHS is always smaller than -G_TM, thus G_TE<0; therefore, the negative GHS does occur on the surface of the photonic crystal with a negative refractive index.

Numerical study of biosensor based on α-MoO3/Au hyperbolic metamaterial at visible frequencies

“…The GH shift occurs at the interface of two materials with different permittivity and manifests lateral shift displacement when the incident angle is close to the critical angle. To date, GH shifts have been reported in various systems, including parity-time-symmetry cavity [38,39], photonic crystals [40,41], graphene [16,[42][43][44][45] and metamaterials [46][47][48]. Since order of magnitude of the GH shifts is normally based on the operating wavelength, the GH shifts present a small lateral shift at visible frequency and are hard to observe directly.…”

“…Since order of magnitude of the GH shifts is normally based on the operating wavelength, the GH shifts present a small lateral shift at visible frequency and are hard to observe directly. Therefore, many effort have been done to enhance the GH shifts, such as negative refractive index media [41] and structural resonances [49][50][51]. Recently, theoretical analyses of GH shift enhancement in the multilayered HMM have been investigated [16,47,52,53].…”

Single-step detection of toxic airborne metallic nanoparticles using Goos–Hänchen effect in photonic Bragg grating structures

“…In these methods, two-dimensional or thin semiconductor materials such as graphene and TMDCs are integrated into the structure to make the transfer of free electrons between layers easy or make it possible to use surface plasmon polaritons (SPP) excitation to increase GHs amount [18,19]. Also, it has been shown that this effect might be signified remarkably by using negative index metamaterials [20], weak absorptive media, symmetrical optical waveguides with metal-cladding [21,22], and multilayer structures made of alternating unit-cells such as photonic crystals (PCs) [23,24]. In between, it seems that PC-based structures might be more useful in this regard due to their unique features and simplicity.…”

Goos-Hänchen effect in light transmission through biperiodic photonic-magnonic crystals

“…The Goos-Hänchen effect consists in the lateral shift of a reflected light beam with respect to the prediction of geometric optics [1]. Nowadays, this effect is intensively studied [2][3][4][5][6][7] in different systems, including anisotropic crystals and magnetic materials [8][9][10][11][12][13][14][15][16], graphene [4,[17][18][19], superconductors [20,21], and photonic crystals (PCs) [19][20][21][22] despite the long history of investigations since the first observation of this phenomenon in 1947 [1]. Some aspects of Goos-Hänchen effect were studied in different structures (see for example recent review papers [23,24]).…”