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

Abstract

We present a theoretical investigation of Goos-Hänchen effect, i.e. the lateral shift of the light beam transmitted through one-dimensional bi-periodic multilayered photonic systems consisting of equidistant magnetic layers separated by finite size dielectric photonic crystals. We show that the increase of the number of periods in the photonicmagnonic structure leads to increase of the Goos-Hänchen shift in the vicinity of the frequencies of defect modes located inside the photonic band gaps. Presence of the linear magneto-electric coupling in the magnetic layers can result in a vanishing of the positive maxima of the cross-polarized contribution to the Goos-Hänchen shift.PACS number(s): 42.25. Gy, 42.25.Bs, 42.70.Qs I. INTRODUCTIONThe 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]). The Goos-Hänchen shift (GHS) of partially coherent light in epsilon-near-zero metamaterials was theoretically investigated in [25]. Giant GHS (up to 70 wavelenghts) and angular shift of several hundred microradians were observed in 2D metasurfaces composed of PMMA gratings on a gold surface [26]. Giant GHS has been predicted also for spin waves in magnetic films [27][28][29][30], and optical phonons [31]. This phenomenon has potential application in designing of integrated optics devices, such as optical switchers, bio-and chemical sensors and detectors [32][33][34][35][36].The GHS in multilayered systems can exhibit interesting peculiarities. For instance, giant GHSs are experimentally demonstrated from a prism-coupled PC structure through a bandgap-enhanced total internal reflection [37]. All-optical tunability of the GHS in PCs was demonstrated in [38]. The lateral shift of the reflected beam can be remarkably enhanced when the phase matching conditions are satisfied for the surface polaritons excitation at the interface of the structure in the graphene-induced photonic band gap (PBG) [39]. The GHS reversibility near the band-crossing structure of PCs containing lefthanded metamaterials was shown in [40]. The GHS at the PBG edges can reach values up to several hundreds of wavelengths [41]. Similarly, when a light beam is incident on a PC containing a defect layer, the GHSs are greatly enhanced near the defect mode due to the electromagnetic waves localization [42].On the contrary, in PT-symmetric crystals the GHS can be huge inside the reflection band [43,44]. The following bi-periodic structures are also of potential interest: photonic-magnonic crystals (PMCs) w...

Non-specular reflection of a narrow spatially phase-modulated Gaussian beam

“…Although these effects are, as a rule, rather small, the beam shifts have nevertheless been reported to take potentially significant values in many configurations, including upon total internal reflection [1,7], but also at the vicinity of minima of the reflection coefficient, for instance at Brewster and pseudo-Brewster incidence angles [8][9][10], near the edges of photonic bandgaps in photonic crystals [11], or in a nanophotonic cavity [12]. In all cases, measurements of the beam shifts can be made using conventional methods based on position sensitive detectors, while charge-coupled device can give more detailed information about the profile of the reflected beam [13].…”

Three-periodic 1D photonic crystals for designing the photonic optical devices operating in the infrared regime

“…Photonic structure with two periods where the internal finitesize block (ab)N is inside the unit cell [(ab)Nc] repeated M times were considered as photonic-magnonic crystals [18][19][20][21][22] and were studied as photonic hypercrystals [23][24][25][26]. In Ref.…”

Energy flux optimization in 1D multiperiodic four-component photonic crystals

“…To ensure the rearrangement of the transmission spectra of the ternary PC (abc) M , one can create a new type of a regular 1D structure with two periods, where the internal finite-size block (ab) N is inside a unit cell [(ab) N c] repeated M times. For the first time, these systems were considered as photonic-magnonic crystals [31][32][33][34][35] and were studied as photonic hypercrystals [36][37][38][39]. In Ref.…”