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, a) schematic showing the helicity-dependent trajectories for LCP and RCP lights, and (b) measured transverse splitting of LCP and RCP lights with respect to the propagation distance. Helicity-dependent lateral shift of a paraxial beam occurs while deflecting at optical interfaces [104]: (c) schematic showing the transverse shift attached to a RCP light during reflection. (d) Measured Spin-Hall splitting of the LCP and RCP components when a linearly polarized Gaussian beam refracts at air-glass interface, Spin-orbit interactions in paraxial regime. Spin-Hall effect occurs when light travels along a helical pathway in a glass cylinder, vol.55
, Tightly focused LG modes with = 1 and ? = ±1. An optical vortex appears in the longitudinal electric component when ? and have the same sign (top panel), evidenced by a faster orbiting speed of the trapped nanoparticles (middle panel) than that with ? and of opposite sign, Spin-orbit interactions in nonparaxial regime: (a) Schematic showing the optical vortex generated by tightly focusing circularly polarized light [55] (b)
, azimuthal PB phase gradients, leading to a helicity-dependent light splitting and optical vortices with charge numbers = 2q, respectively. (c) Polychromatic optical vortex generation with a single nematic liquid crystal droplet whose anisotropy directs radially in three dimensions. The numbered photos show the intensity profile of the polychromatic vortex and its RGB components, respectively. [61] (d) A 100-nm thick silicon metamaterial splits lights of opposite handedness [111]. (e) Closed-path nano-slits convert CP light into optical vortices, Spin-orbit interactions due to Pancharatnam-Berry (PB) phase. Spacevariant wave plates induce (a) linear [110] and (b)
, A simple subwavelength arch leads to tunable helicity-controlled directional excitation of nanoscale surface plasmons. The orange, blue and pink halos indicate the positions of incident light and those from the right and left nanoantenna out-couplers, respectively
, Simulation snapshots of the transverse magnetic component of a spinning electric dipole (a) in air and (b) coupled to surface plasmons [118]. (c,d) Experimental demonstration of the spin-locked directional launching of surface plasmons with a subwavelength groove: (c) schematic of the experimental setup and (d) measured coupling ratios of the left and right SPs (solid lines), in comparison with simulation results (dash lines), Spin-locked unidirectional excitation of surface plasmons (SPs). (a,b), vol.118
, Simulation by FDTD of the coupling of (a) an ED oriented along the x axis, and (b,c), a spinning MD, to a TE-polarized BSW. All three results show, in false colors, the absolute value of the real part of the electric field (|Re(E x )|).The MD rotates either (b) anti-clockwise or (c) clockwise. (d) Directionality factor (ratio of the electric intensities for the left and right BSWs) for various MD polarizations. The MD polarization ellipticity is changed along the path shown in red in the Poincaré sphere (see inset). The MD moment is also expressed at specific values of the ellipticity angle 2? related to the Poincaré sphere, TE-polarized Bloch surface waves excited with linear ED and spinning MD
, In these figures, the field around the dipoles has been saturated in order to provide a better view of the light distributions across the structure. The field distribution in (b) is multiplied by 0.53 j. By adding/subtracting the results of (a) and (b), we achieve the field distributions across the 1D photonic crystal, produced by two spinning MDs of opposite handedness, which are described by dipole moments m proportional to (e y ± 0.53 je z ). (c) Electric field profiles (Re(E x )) along the dashed lines of (a) and (b), respectively, (a) and (b) Snapshots (FDTD simulations) of the optical electric field produced in the (yz) plane by two MDs oriented along y and z axis, respectively
, 34 2.9 Schematic diagrams of the excitation process of the BSW mode with (a) a linear ED and (b) spinning MD source, which corresponds to the scenarios shown in 2.7(a) and (b), respectively. The schematics compare the polarization states of the excitation dipole sources and the corresponding electric or magnetic components of the BSW mode, Electric field profiles with a spinning MD moment of e y ?0.53 je z (the field plotted in (b) is inverted, leading to a clockwise rotating MD). (c) and (d) show that the BSW coupling process is unidirectional and tunable with the helicity of light
37 2.12 Schematic diagrams for the polarization state of the incident light after passing through a LP and a QWP: (a) the QWP is fixed and the LP is rotated. (b) the LP is fixed and the QWP is rotated. The green arrow in (a) and (b) show the immediate linear polarization state after the LP. The red ellipse (with handedness indication) in (a) and (b) show the final polarization state after the QWP, Images of the 1D PC surface obtained by illuminating the subwavelength groove with light of various polarization states: (a) linear ,
, Schematic diagram of the electric field projection and corresponding global and local coordinate frames. e r and e l (in red) represent the unit vectors parallel to the electric field components of the right and left BSWs, p.38
, Plot of the coupling rates R r and R l of the incident light into the right and left BSWs, calculated from Eqs. 2.9 and 2.10, respectively
, 15 (a) Schematic diagram of the magnetic field handedness in the helicity planes of the left and right BSWs for an incident right-handed polarization. (b) Ellipticity 2? of the incident magnetic field in the helicity planes (y L , z L ) and (y R , z R ) of the left and right TE-polarized BSWs, vol.2
, Screen print of the 3D FDTD model built with Fullwave software to simulate the scenario of a BSW excitation with the configuration depicted in Figs
, The two results show, in false colors, the absolute value of the real part of the electric field (|Re(Ey)|). The white lines show the profile of the subwavelength groove, which has a cross-section of 400 nm × 400 nm. The blue and red arrows in (a), which have a angle of 33.8 ? with respect to the groove, indicate the BSW propagation directions on the left and right sides, Simulation snapshots of the TE-polarized BSWs excited by a groove under the illumination with (a) left circular polarization and (b) right circular polarization
, The curves related to the right and left BSWs are represented in red and blue, respectively. (b) and (c) Fourier spectra (amplitude) of the experimental blue and red curves of (a), obtained by Fourier transformation. Coefficient u defines the harmonic orders for the Fourier series. (d) and (e) Representation, in the real space, of the non-null harmonics for the two Fourier series shown in (b) and (c): (d) second harmonics and (e) fourth harmonics. Experimental and numerical curves are shown by solid and dash lines, respectively, Magnetic spin-orbit interaction steers Bloch surface waves. (a) detected signals (circles) and simulated intensities by FDTD (solid lines), on the right and left BSWs, as a function of the angle ? between the QWP and the LP, vol.50
, 2 Schematics of (a) bowtie nanoantenna [179] (b) bowtie nanoaperture antenna fabricated at a fiber tip [180] (c) diabolo nanoantenna, p.50
, Note for helices with different wire radius, the total number of such optimal ? h values are different, which is one when R w ranges from 25 nm to 35 nm and two when R w ranges from 40 nm to 60 nm. According to their similar shapes, those AR spectra have been divided in two groups, i.e. (a) and (b) for a better view, Axial ratio spectra of HPAs with various wire radii (R w ranging from 25 nm to 60 nm) and optimal vertical pitches (S ) that enable an AR peak, p.67
, Dispersion relations of gold nano-wires with various radii ranging from 25 nm to 60 nm
, 20 (a) and (b) show the AR spectra for two sets of helices, whose wire thickness is fixed as 60 nm and 25 nm and pitch angle is 14 ? and 39 ? , respectively. Here, we only plot the axial ratio spectra around its peak to have a better view
, Other geometric parameters remain identical for all helices: R h = 180 nm, R w = 60 nm, S = 540 nm. The red dash line shows an axial ratio of 0.5, above which an antenna can be thought as circularly polarized antenna, Axial ratio spectra of HPAs with various N values ranging from 1 to 4, p.69
, 22 (a) Axial ratio spectra (on-axis calculations) of left and right-handed helices (b) Corresponding amplitude ratio (ln |E y |/|E x | ) and phase difference (?(E x ) ? ?(E y )) spectra of the two transverse electric components of the far-field emission. The helices have geometric parameters: R h = 180 nm, R w = 60 nm, S = 540 nm
, Aspect ratio spectra of a helix optimized for working at optical telecommunication wavelengths. The helix dimensions are: R h = 160 nm, R w = 60 nm, S = 495 nm
, Schematics of (a) circular nano aperture (b) bowtie nano aperture and (c) rectangular nano aperture. The red arrows show the linear polarization of the excitation light (E inc ), which leads to enhanced electric fields in the regions marked by the red halos
, 72 3.26 Design of the rectangular nano aperture (RNA) for working at optical telecommunication wavelength (? 0 = 1.55 µm). (a) Schematic of the RNA. (b) Normalized intensity spectra of RNAs with various side lengths (L) and widths (W). The gold layer in which the RNA resides has a fixed thickness of 100 nm, Schematics showing the FDTD model built for studying the optical prop
, Under curved trajectory along the helix, SPs acquire EOAM and are simultaneously released as freely propagating waves (white arrow). Part of the mode leakage re-excites the plasmon wire mode, thus participating in the plasmon swirling effect. (b) dispersion relations of the m = 0 and m = 1 modes of a gold-coated carbon wire (105-nm diameter carbon wire, 25-nm thick gold coating). Energy is plotted versus c? and c?, Helical plasmonic antenna as circularly polarized subwavelength source: (a) Schematics of the final TW-HPA and operation principle
The pseudo-color field maps show the simulation snapshots of the instantaneous electric field distribution at ?t = i ? 4 ( i = 0, 1, 2...7) and on two planes that cross the helix axis. The x0z and y0z plane field maps are shown on the upper and lower sides, respectively. These field maps are normalized with the same maximum amplitude value. The white dash line and red arrow indicate the axial advance of SP modes. The white thin solid lines show the gold layer and the nanoaperture on the substrate ,
, Schematic for the original DLW process where a positive-tone photoresist is used to form the mould with helical voids. (b) Cross-sectional SEM image of the polymer mould filled by electro-plated gold. (c) Side-view SEM image of the resulting monofilar gold helix array after mould removal. (d) Schematics of the modified DLW process where a negative-tone photoresist is patterned by stimulated-emission-depletion-DLW to form the mould. (b) SEM image of the written polymer mould after chemical development and (c) Side-view SEM image of the final triply-intertwined gold helix array. (a)?(c) and (d)?(f) are snapped from the Refs, DLW for the fabrication of gold helix arrays. (a)
, SEM images of the platinum helices fabricated by FIBID and FEBID, respectively. The helix geometry shown in (b) is: R h = 200nm, R w = 65 nm, S = 300 nm and in (c) are R h = 100nm, R w = 30 nm, S = 350 nm, respectively. (d) Triply inter-winded Pt helix array fabricated by tomographic rotatory FIBID growth. Dimensions of a single helix are: R h = 187, FIBID/FEBID fabrication of nano-helix structures: (a) Schematic depicting the FIBID fabrication process, vol.5
, Schematics of the GLAD fabrication process with (a) seeded substrate with grain sites prepared by nano-lithography, (b) structure growth under grazing-incidence particle flux and (c) resulting nano-helix arrays. (d-f): SEM images of the GLAD-fabricated nano-helices with (d) a nano-helix array attached on the substrate (e) and (f) a single left-and right-handed helix picked out from the nano-helix array, GLAD fabrication of nano-helix structures [205
, Glancing angle deposition (GLAD) equipment used in my thesis: (a) Schematic diagram and (b) a photo of the running machine. Inset of (b) shows the glowing plasma in the fabrication chamber, p.81
, 81 4.6 Photograph of the SEM/FIB dual-beam system (Helios Nanolab 600i, FEI) available at FEMTO-ST Institute. It is the workhorse for both structuring and characterizing HPAs, 5 SEM images of the nano-helix structure fabricated by GLAD: (a) crosssection and (b) top view
, Fabrication of the carbon helices on a gold coated glass substrate by FIBID. The FIB is used to induce the carbon wire deposition and the SEM is used to monitor the deposition process. (b) Metalization of carbon helices with gold by GLAD involving plasma sputtering approach. Direct current is applied between the substrate and gold target to generate argon plasma. (c) Fabrication of the rectangular aperture by FIB milling. The small angle is kept between ion flux and the helix to avoid side-cutting effect, Schematic diagrams of the fabrication process we develop for realizing the TW-HPA structures. (a)
85 4.10 SEM images of grouped carbon helices with opposite handedness. (a) Paired left and right helices. (b) Closely-packed four-helix system where helices with the same handedness are placed at the diagonal positions of a subwavelength square, SEM images of various 4-turn carbon helices fabricated by FIBID: (a) without pitch correction (b-d) with pitch correction. Scale bars, 0200. ,
, Cross-section SEM image of the helix, embedded in a FIBID-deposited platinum (Pt) block. The bright gray areas show the gold coating (Au) and the dark gray areas show the carbon core (C). (c) 3D tomographic image of the goldcoated carbon helix, which is reconstructed from a series of sliced SEM images of the HPA. The gold and carbon materials are represented in yellow and black, respectively. Scale bars: 200 nm. The green and red arrows in (c) show two representative regions with a thick and thin gold coating, Metal coating results of a carbon helix with R h ? 155 nm, S ? 350 nm. (a) Bird-view SEM image of the gold-coated carbon helix. (b), vol.87
, Scanning electron micrographs of the subwavelength structure after (a) fabrication of the carbon helix skeleton by FIBID, (b) metal deposition onto the helix skeleton, and (c) fabrication of rectangular nano-aperture antenna by FIB milling, Fabrication of the TW-HPA: three steps, vol.87
, Measurement of RNA's radiation property: simplified experimental set-up (left panel) and measured RNA polarization diagram (intensity), compared with the typical response of a dipole Malus's curve (right panel). Those measurements in (a) and (b) are enabled by rotating a linear polarizer inserted either in the input or output benches, respectively. The two insets, in both (a) and (b), show the optical and SEM images of the RNA, Experimental setup for measuring the polarization property of the antenna emission: (a) Schematic diagram and (b) photograph of the experimental bench. LP: linear polarizer, QWP: quarter wave plate, HWP: half wave plate, OBJ: objective, BS: beam splitter. The fiber used here is a polarization maintaining fiber, which transmits infrared light produced by a tunable laser (1470 ? 1650 nm)
The left panel shows a simplified schematic depicting the experimental bench for characterizing the polarization properties of the helical antenna (inset shows a typical far-field optical image of the TW-HPA emission). The right panel shows a side-view SEM micrograph of the TW-HPA, whose central radius and vertical pitch are R h ? 155 nm and S ? 350 nm, respectively. (b) Measured antenna emission intensity with respect to the input linear polarization. (c) State-of-polarization analysis at ? = 1.55 µm and ? = 1.64 µm. (d) Experimental spectra of the AR and DOCP, compared with the simulation results considering a 10-nm thick homogeneous metal coating onto the carbon skeleton ,
, where a rotating quarter wave plate (QWP) and a fixed linear polarizer (LP2) are put in front of the camera to analyze the helicity of the antenna emission. Right panel: optical and SEM images of two HPAs of opposite handedness. (b) Measured transmission intensity for the two HPAs through the circular analyzer. Maximum helicities are obtained for angles between the QWP and LP of 45 ? and 135 ? . This resembles two circular polarizers of opposite handedness. We have ? = ±1 for the two HPAs, where ? stands for the helicity of light
, Circularly polarized emission originates from the excitation of a subdiffraction surface plasmon within the helix. AR spectrum of the TW-HPA emission for the RNA in contact to the helix pedestal (blues squares), 185 nm away from the helix pedestal (red circles), and turned by 90 ? regarding the two first cases (green diamonds), respectively
, Spectrum of the AR of the TW-HPA emission for a single structure with one turn (orange triangles), two turns (green diamonds), three turns (red circles), and four turns (blue squares)
, Schematics of the two operation modes of the TW-HPA, involving light wave propagation in two opposite directions along the antenna axis
, Schematics of the simulation model. (b,c) Simulated intensity distribution (x0z plane) of the TW-HPA under illumination with (b) left and (c) right-handed circularly polarized light, respectively. The intensity plots have been saturated equally for a better view of the TW-HPA wire mode. RNA: rectangular nanoaperture, 2 Simulation of the TW-HPA in detection mode: (a), p.98
, Schematic diagrams of the experimental setups for measuring the circular dichroism of the TW-HPA (a) in emission mode, and (b) in collection mode, OBJ: Objective, QWP: Quarter-wave plate
, Circular dichroism is defined as (I RCP ? I LCP )/(I RCP + I LCP ), where I RCP and I LCP stand for the emission intensity of the TW-HPA, with an illumination by right and left circularly polarized light, respectively. Emission intensity is measured either from the helix, in air (in emission mode), or from the rectangular nanoaperture antenna, through the substrate (in collection mode). Figure inset: helicity analysis in emission mode, at ?=1.55 µm. The measurement is realized by placing a circular analyzer, consisting of a rotating quarter-wave plate followed by a fixed polarizer, in front of a detector and measuring the transmitted power. RCP and LCP refer to right and left-handed circular polarization of the emitted light, Schematics of the two operation modes of the TW-HPA, involving light wave propagation in two opposite directions along the antenna axis, respectively. (b)
, Scanning electron micrograph of the CP-LSA, which consists of two couples of HPAs of opposite handedness and orthogonal aperture nanoantennas. The right and left-handed HPAs are identified with the letters R and L, respectively. The letters A, B, C and D show the arrangement configuration of these HPAs (cf. Fig. 5.5)
, Measurement on the tuning property of the spin-light array (cf. Fig. 5.6) with linearly polarized excitation light. (a) Left panel: schematic diagram of the experimental setup and right panel: far-field optical images of the four-HPA device at three input polarizations. (b) Emission intensities of the two HPAs of opposite handedness at various input polarization states, p.103
, (a) left panel: schematic diagram of the experimental setup, right panel: far-field optical images of the four-TW-HPA device with a (middle) right-handed and (bottom) a left-handed circular analyzer in front of the camera. (b) Helicity analysis of two HPAs of opposite handedness. The measurement is realized by placing a rotating quarter wave-plate and a fixed linear polarizer in front of a detector and measuring the transmitted power
, 105 5.10 Theoretical prediction of the polarization state of the four-coupled TW-HPA structure (i.e., the polarization angles |2?| and 2? on the Poincaré sphere), as a function of the polarization direction (angle ?) of an incident linearly polarized wave, 3D and (b) 2D top-view schematics of the four-coupled HPAs, p.105
, Angled view, (b) Top view. Figure inset shows the optical image of the structure on emission, exhibiting a single light spot (regardless of the input polarization), Scanning electron micrographs of the four-coupled TW-HPA structure: (a)
, Polarization angles 2? and 2? of the emitted field versus the polarization direction of an incident linearly polarized light (Poincaré sphere approach of polarization). The optical waves are impinging from the substrate at normal incidence, with (a) ?=1615 nm and (c) ?=1470 nm. (b,d) Polarization diagram of the antenna emission for incident polarization corresponding to ? equal to 45 ? and 135 ? , leading to the selective excitation of the two couples of HPAs of opposite handedness: (b) ?=1615 nm. (d) ?=1470 nm. Near-field coupling between the HPAs of opposite handedness ensures parallel outcoming polarization ellipses for orthogonal incident linear polarizations, Subwavelength scale manipulation of light polarization by four coupled HPAs
, due to the near-field coupling of SPs in the four-coupled TW-HPA device. (a) 3D schematic showing the nearfield coupling of surface plasmons (SPs) in the four TW-HPAs at ? = 45 ? . (b,c) Top-view schematics showing the coupling between SPs in such a system with (b) ? = 45 ? and (c) ? = 135 ? . The blue and red open circles with an arrow indicate the swirling SPs in the left-and right-handed TWHPAs, respectively. The green arrows indicate the parallel propagation directions of those SPs. The corresponding output polarization states are represented by the blue, Schematics illustrating the generation of parallel elliptical polarizations of opposite helicity at ? = 45 ? and 135 ?, vol.108
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