density functional theory (dft) based calculations have been performed to examine the relaxations of tautomers of 4–hydroxy–6–methylpyridin–2(1h)–one (mpo), as a representative of pyridinone derivatives, at the fullerene (c60) surfaces. optimized molecular properties including energies, dipole moments and atomic scale quadrupole coupling constants (cq) have been evaluated to investigate the str...

Abstract. Coupling between the modes in a planar optical waveguide induced by a boundary step discontinuity, by a single groove and by a grating with arbitrary cross section, is investigated theoretically. Analytical expressions for the coupling mode coefficients are obtained by the mode-matching method, containing the angular dependence in explicit form for both TE and TM incidence. An analogy...

A self-contained coupled-mode theory for the coupled two asymmetric photonic crystal waveguides (PCWs) is presented. The first-order coupled-mode equations are derived under a weak coupling assumption. The coupling coefficients are obtained systematically by a matrix calculus using the modal solutions of each PCW in isolation. The coupled-mode equations are solved for contra-directional couplin...

In its common implementation, the mode-coupling theory of the glass transition predicts the time evolution of the intermediate scattering functions in viscous liquids on the sole basis of the structural information encoded in two-point density correlations. We provide a critical test of this property and show that the theory fails to describe the strong differences of dynamical behavior seen in...

New insight on mode coupling in waveguiding structures is obtained from the theory of Morse critical points (MCP’s). It is shown that the traditional coupled-mode formalism has a clear analytical connection with functional properties of the characteristic determinant in the vicinity of the Morse critical point, which determines the minimum of coupling. The relationship between perturbed and ind...

Coupled mode theory (CM) is widely applied in integrated optics, while the rigorous Local Mode theory (LM) is less known, being somewhat harder to implement. We compare the two theories in determining polarization coupling inside a laminated rib waveguide made of a-Si:H and SiO2.For moderate optical axis slant (low hybridization) and for fixed layer thickness the two theories show similar resul...

In low-temperature-supercooled liquids, below the ideal mode-coupling theory transition temperature, hopping and continuous diffusion are seen to coexist. Here, we present a theory that shows explicitly the interplay between the two processes and shows that activated hopping facilitates continuous diffusion in the otherwise frozen liquid. Several universal features arise from nonlinear interact...