Narrow Results

A method to design a cross-coupled resonator filter with parallel resonance circuits is presented, which includes the selection of a circuit model, introduces a scaling factor and a bandwidth condition, and calculates the values of the coupling and resonance admittances of the circuit model by a coupling matrix derived from the given transfer function. Finally, an example is given to illustrate the design procedure. The simulation results validate the proposed design procedure.

The nature of electron transfer through intermolecular tunnel junctions has been studied. Intermolecular junctions feature non-hydrogen and hydrogen bonded interactions and are defined by the end groups of pairs of functionalized conjugated alkenes. We compared the distant dependent electron transfer from donor to acceptor group attached to the other sides of those functionalized conjugated alkenes. Study shows electron transfer coupling matrix element for these intermolecular junctions decays exponentially as a function of junction separation and quite substantial in energetically favourable hydrogen bonded intermolecular junctions.

In this paper, a criterion for efficient coupled-mode matrix calculation in a constant depth ocean with range-dependent sound–speed fluctuation is proposed. The usual stepwise coupled mode requires high computational power to calculate the mode-coupling matrix at each interface of the range segment. To reduce the computational complexity, the criterion for selecting appropriate mode pairs, which strongly affects the mode-coupling matrix, is derived from perturbation theory. This criterion determines the effective range of the modal beat wavenumber. Numerical examples indicate that compared with the full calculation of the mode-coupling matrix, for the calculation using the proposed criterion, the computational complexity is significantly reduced, while the accuracies of the mode-coupling matrix and acoustic field are maintained.