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1                      Normalized intensity (top) and phase (bottom) profiles of some superpositions of Laguerre–Gaussian modes:                                                          L                                                                                                   G                                                                                                      01                                                                                             +                              L                                                                                                   G                                                                                                      05                                                                                                                  ,                                                          L                                                                                                   G                                                                                                      0                                    −                                    5                                                                                             +                              L                                                                                                   G                                                                                                      05                                                                                                                  , and                                                          L                                                                                                   G                                                                                                      10                                                                                             +                              L                                                                                                   G                                                                                                      05                                                                                                                   (left to right).
2 The orthorectified aerial image and 5m DEM of Chiu-Shui River.
3                      Example of color stripe indexing based on De Bruijn sequence                                                                                           (                                 k                                 =                                 5                                 ,                                 n                                 =                                 3                                 )                                                                                  [35].
4 Computer simulation of the light- intensity distribution of the interference pattern for hexagonal right-handed (RH) as well as left-handed (LH) photonic chiral structures using                                                                         6                           +                           1                                                                beam geometry. (a) 3D interference intensity distribution for RH structures. (c) Intensity profile in                                                                         x                           −                           z                                                                plane. (b) and (d) correspond to (a) and (c) for LH photonic chiral structures.
5 Supplementary epifluorescence collection through a ring of optical fibers. (a) Top: CAD-drawing of a custom fiber-ring holder placed under an objective. Bottom: Closeup view showing the ring-like arrangement of the fiber tips. Only five of eight fibers are shown. Fluorophores are 2-photon excited in the focus of an infrared laser beam (red), causing isotropic fluorescence emission (green). (b) Left: Top view of the ring-like arrangement of eight 1-mm diameter fibers. Right: Dual-channel detection in a custom 2PLSM setup. Optical fibers were bundled and placed in front of a second PMT.
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7 Comparison of x-ray images of (a) cartilage on a chicken’s bone and (e) a tomato. The cartilage is shown clearly in (c) the differential phase image compared to (b) the absorption and (d) the scattering images. The inner structure of the tomato can be seen in (h) the scattering image, whereas (f) the absorption and (g) the differential phase images do not show any profiles.
8                      Transfer of angular momentum in optical tweezers. A trapped object can be rotated either by the transfer of SAM from a circularly polarized beam (left) or by the transfer of OAM from a high-order Laguerre–Gaussian beam.
9 Isointensity plot of an oblique spatiotemporal Bessel–Airy wave packet.
10 Schematic diagram of single-prism pulse compressor.
11 Transmission spectra through a lattice of  periodic gold film perforated with Z-shaped slits with slit widths                                                                                                                                        w                                                                                             2                                                                                    =                           25                                                               , 50, 100,                                                                         150                                                       nm                                                               .                                                                         h                           =                           500                                                       nm                                                               ,                                                                         l                           =                           800                                                       nm                                                               ,                                                                                                                                       s                                                                                             2                                                                                    =                           450                                                       nm                                                               ,                                                                                                                                        w                                                                                             1                                                                                    =                                                                                          w                                                                                             3                                                                                    =                           150                                                       nm                                                               .
12 Decomposition of natural images into Fourier components. (a) All images can be expressed as a sum of 2D Fourier basis functions [e.g., (b)] by taking the sum over all values in (c) the basis-scaled image.