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Summary To eliminate frequency splitting in wireless power transfer, a novel spindle‐shaped coil‐based wireless power transfer system is introduced and designed. Based on the equivalent circuit model, the transmission coefficient and the input impedance are calculated. A comparative analysis is performed between the traditional and the proposed systems. It is found that the frequency splitting is suppressed by utilizing spindle‐shaped transmitting and receiving coils in the proposed system because of the larger mutual inductance between the source coil (load coil) and transmitting coil (receiving coil) and the smaller mutual inductance between the transmitting and the receiving coils in comparison with the traditional system. In the overcoupled region, the transmission coefficient of the proposed system almost remains unchanged and keeps at a high value. The input impedance is characterized with high amplitude and small argument, which is beneficial for efficient power transfer. Experimental setup is established to validate the performance of the proposed wireless power transfer system. The results indicate that the proposed system is superior to the traditional one in eliminating the frequency splitting, which is well consistent with the simulation analysis.

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The Boris algorithm, a closely related variational integrator and a newly proposed filtered variational integrator are studied when they are used to numerically integrate the equations of motion of a charged particle in a nonuniform strong magnetic field, taking step sizes that are much larger than the period of the Larmor rotations. For the Boris algorithm and the standard (unfiltered) variational integrator, satisfactory behaviour is only obtained when the component of the initial velocity orthogonal to the magnetic field is filtered out. The particle motion shows varying behaviour over multiple time scales: fast Larmor rotation, guiding centre motion, slow perpendicular drift, nearconservation of the magnetic moment over very long times and conservation of energy for all times. Using modulated Fourier expansions of the exact and numerical solutions, it is analysed to which extent this behaviour is reproduced by the three numerical integrators used with large step sizes.

A ‘two birds, one stone’ strategy was developed via a one-pot click reaction to simultaneously prepare a novel cyclodextrin (CD) dimer based aggregation induced emission (AIE) sensor (AIE-DCD) and a monomer based chiral stationary phase (CSP-MCD) for chiral high performance liquid chromatography (CHPLC). AIE-DCD was found to afford satisfactory AIE response for specific detection of Zn2+ with a detection limit of 50 nM. CSP-MCD exhibits excellent enantioseparation ability toward dansyl amino acids, where the resolution of dansyl amino leucine reaches 5.43.

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