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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
3 A helical phase profile                                                          exp                              		                                     (                                 i                                 ℓ                                 ϕ                                 )                                                                                  converts a Gaussian laser beam into a helical mode whose wave fronts resemble an ℓ-fold corkscrew. In this case                                                          ℓ                              =                              3                                                   .
4 Fundamental mode transverse electric field intensity (Et2) distributions at 1.45 μm (upper figures) and 1.75 μm (lower figures) wavelengths, for nearly zero-dispersion flattened PCFs with Λ=2.3  μm and d=0.61  μm for (a) α=0° and β=0°, (b) α=30° and β=0°, (c) α=0° and β=30°, (d) α=0° and β=0°, (e) α=30° and β=0°, and (f) α=0° and β=30°.
5 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.
6 Numerical simulations of amplification of white noise by FWM and SRS as a function of propagation length.
7 Liquid-crystal SLMs allow unprecedented control in the generation and detection of structured light fields. (a) Long exposure image of laser light diffracted from the pixelated device. (b) CCD camera image showing the various diffraction orders. Efficiencies are typically in the 60%–85% range.
8 (a)–(d) x–z cross sections of the beam intensity are shown as a function of focal depth, zf, for a focused Gaussian beam propagating through in silico fractal medium 2. For each panel, the result for a single simulation is displayed on top, with the corresponding averaged result over N=100 randomly generated fractal media displayed on the bottom. For visualization, all images are self-normalized to a maximum value of 1.
9 (a) Schematic of a four-taper-segment micropillar cavity. (b) and (c) Electric field density profile of the first- and second-order modes, respectively. (d) Electric field density profile of the third-order mode of the ten-taper-segment micropillar cavity. (e) Mode diagram as a function of taper segment number.
10 Peppers image. (a) Original object (b) Conventional solution with minimum-error threshold (Lloyd-Max): SNR = 13.72 dB (c) Binary acquisition using our method (d) Reconstruction using our method: SNR = 19.10 dB
11 Calculation result of prospective THz-wave intensity via BNA-DFG under the consideration of perfect phase matching and absorption effect.
12 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.
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