Abstract-In this work, we use the numerical steepest descent path (numerical SDP) method in complex analysis theory to calculate the highly oscillatory physical optics (PO) integral with quadratic phase and amplitude variations on the triangular patch. The Stokes' phenomenon will occur due to various asymptotic behaviors on different domains. The stationary phase point contributions are carefully studied by the numerical SDP method and complex analysis using contour deformation. Its result agrees very well with the leading terms of the traditional asymptotic expansion. Furthermore, the resonance points and vertex points contributions from the PO integral are also extracted. Compared with traditional approximate asymptotic expansion approach, our method has significantly improved the PO integral accuracy by one to two digits (10 −1 to 10 −2 ) for evaluating the PO integral. Moreover, the computation effort for the highly oscillatory integral is frequency independent. Numerical results for PO integral on the triangular patch are given to verify the proposed numerical SDP theory.
We investigate both optical and electrical properties of organic solar cells (OSCs) incorporating 2D periodic metallic back grating as an anode. Using a unified finite-difference approach, the multiphysics modeling framework for plasmonic OSCs is established to seamlessly connect the photon absorption with carrier transport and collection by solving the Maxwell's equations and semiconductor equations (Poisson, continuity, and drift-diffusion equations). Due to the excited surface plasmon resonance, the significantly nonuniform and extremely high exciton generation rate near the metallic grating are strongly confirmed by our theoretical model. Remarkably, the nonuniform exciton generation indeed does not induce more recombination loss or smaller open-circuit voltage compared to 1D multilayer standard OSC device. The increased open-circuit voltage and reduced recombination loss by the plasmonic OSC are attributed to direct hole collections at the metallic grating anode with a short transport path. The work provides an important multiphysics understanding for plasmonic organic photovoltaics.
The proposed approach is validated by its application to solve the one-dimensional Burger's equation, and simulate natural convection in a concentric annulus by solving Navier-Stokes equations. It was found that as compared to the benchmark data, the iRBF-DQ approach can provide more accurate results than the original RBF-DQ method.
Cucumber mosaic virus (CMV) infection could induce mosaic symptoms on a wide-range of host plants. However, there is still limited information regarding the molecular mechanism underlying the development of the symptoms. In this study, the coat protein (CP) was confirmed as the symptom determinant by exchanging the CP between a chlorosis inducing CMV-M strain and a green-mosaic inducing CMV-Q strain. A yeast two-hybrid analysis and bimolecular fluorescence complementation revealed that the chloroplast ferredoxin I (Fd I) protein interacted with the CP of CMV-M both in vitro and in vivo, but not with the CP of CMV-Q. The severity of chlorosis was directly related to the expression of Fd1, that was down-regulated in CMV-M but not in CMV-Q. Moreover, the silencing of Fd I induced chlorosis symptoms that were similar to those elicited by CMV-M. Subsequent analyses indicated that the CP of CMV-M interacted with the precursor of Fd I in the cytoplasm and disrupted the transport of Fd I into chloroplasts, leading to the suppression of Fd I functions during a viral infection. Collectively, our findings accentuate that the interaction between the CP of CMV and Fd I is the primary determinant for the induction of chlorosis in tobacco.
For analyzing diffraction gratings, a new method is developed based on dividing one period of the grating into homogeneous subdomains and computing the Neumann-to-Dirichlet (NtD) maps for these subdomains by boundary integral equations. For a subdomain, the NtD operator maps the normal derivative of the wave field to the wave field on its boundary. The integral operators used in this method are simple to approximate, since they involve only the standard Green's function of the Helmholtz equation in homogeneous media. The method retains the advantages of existing boundary integral equation methods for diffraction gratings but avoids the quasi-periodic Green's functions that are expensive to evaluate.
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