13,026 research outputs found
Optical diffraction of focused spots and subwavelength structures
We have developed a numerical diffraction tool for cases in which the incident field is a focused spot and the diffracting structure is a single structure or an aperiodic surface. Our approach uses the integral formulation to solve Maxwell’s equations and is different from previously published methods in its choice of basis function. We compared numerical results with experimental measurements of the far-field intensity for a focused spot incident on an aluminum grating, and the comparison was favorable. Finally, we predict the diffraction behavior of the proposed digital video disk format for the next generation of optical disk. Our analysis shows that the reflected signal for this format has a strong dependence on the polarization of the incident light
Polarization quadrature measurement of subwavelength diffracting structures
The amplitude and the phase of the diffracted far field depends on polarization when the diffracting structure is comparable to or less than the wavelength. When the far-field amplitude and the phase of one polarization with respect to the orthogonal polarization is measured, small changes in the structure can be measured. To make the far-field polarization measurements, we design a detector that measures the relative polarization amplitude and the phase in quadrature. We predict numerically and verify experimentally the polarization amplitude and the phase for an optical disc and a set of gratings with varying depth. Our results show that this measurement technique is sensitive to small variations in the diffracting structure and that it can be useful in applications such as critical dimension and overlay metrology in microelectronics fabrication
Plane wave/pseudopotential implementation of excited state gradients in density functional linear response theory: a new route via implicit differentiation
This work presents the formalism and implementation of excited state nuclear
forces within density functional linear response theory (TDDFT) using a plane
wave basis set. An implicit differentiation technique is developed for
computing nonadiabatic coupling between Kohn-Sham molecular orbital
wavefunctions as well as gradients of orbital energies which are then used to
calculate excited state nuclear forces. The algorithm has been implemented in a
plane wave/pseudopotential code taking into account only a reduced active
subspace of molecular orbitals. It is demonstrated for the H and N
molecules that the analytical gradients rapidly converge to the exact forces
when the active subspace of molecular orbitals approaches completeness
Fixed-parameter tractability of multicut parameterized by the size of the cutset
Given an undirected graph , a collection of
pairs of vertices, and an integer , the Edge Multicut problem ask if there
is a set of at most edges such that the removal of disconnects
every from the corresponding . Vertex Multicut is the analogous
problem where is a set of at most vertices. Our main result is that
both problems can be solved in time , i.e.,
fixed-parameter tractable parameterized by the size of the cutset in the
solution. By contrast, it is unlikely that an algorithm with running time of
the form exists for the directed version of the problem, as
we show it to be W[1]-hard parameterized by the size of the cutset
Paradigms for Parameterized Enumeration
The aim of the paper is to examine the computational complexity and
algorithmics of enumeration, the task to output all solutions of a given
problem, from the point of view of parameterized complexity. First we define
formally different notions of efficient enumeration in the context of
parameterized complexity. Second we show how different algorithmic paradigms
can be used in order to get parameter-efficient enumeration algorithms in a
number of examples. These paradigms use well-known principles from the design
of parameterized decision as well as enumeration techniques, like for instance
kernelization and self-reducibility. The concept of kernelization, in
particular, leads to a characterization of fixed-parameter tractable
enumeration problems.Comment: Accepted for MFCS 2013; long version of the pape
Comparison of Josephson vortex flow transistors with different gate line configurations
We performed numerical simulations and experiments on Josephson vortex flow
transistors based on parallel arrays of YBa2Cu3O(7-x) grain boundary junctions
with a cross gate-line allowing to operate the same devices in two different
modes named Josephson fluxon transistor (JFT) and Josephson fluxon-antifluxon
transistor (JFAT). The simulations yield a general expression for the current
gain vs. number of junctions and normalized loop inductance and predict higher
current gain for the JFAT. The experiments are in good agreement with
simulations and show improved coupling between gate line and junctions for the
JFAT as compared to the JFT.Comment: 3 pages, 6 figures, accept. for publication in Appl. Phys. Let
Quantum Fluctuations Driven Orientational Disordering: A Finite-Size Scaling Study
The orientational ordering transition is investigated in the quantum
generalization of the anisotropic-planar-rotor model in the low temperature
regime. The phase diagram of the model is first analyzed within the mean-field
approximation. This predicts at a phase transition from the ordered to
the disordered state when the strength of quantum fluctuations, characterized
by the rotational constant , exceeds a critical value . As a function of temperature, mean-field theory predicts a range of
values of where the system develops long-range order upon cooling, but
enters again into a disordered state at sufficiently low temperatures
(reentrance). The model is further studied by means of path integral Monte
Carlo simulations in combination with finite-size scaling techniques,
concentrating on the region of parameter space where reentrance is predicted to
occur. The phase diagram determined from the simulations does not seem to
exhibit reentrant behavior; at intermediate temperatures a pronounced increase
of short-range order is observed rather than a genuine long-range order.Comment: 27 pages, 8 figures, RevTe
Hydrogen Absorption Properties of Metal-Ethylene Complexes
Recently, we have predicted [Phys. Rev. Lett. 97, 226102 (2006)] that a
single ethylene molecule can form stable complexes with light transition metals
(TM) such as Ti and the resulting TMn-ethylene complex can absorb up to ~12 and
14 wt % hydrogen for n=1 and 2, respectively. Here we extend this study to
include a large number of other metals and different isomeric structures. We
obtained interesting results for light metals such as Li. The ethylene molecule
is able to complex with two Li atoms with a binding energy of 0.7 eV/Li which
then binds up to two H2 molecules per Li with a binding energy of 0.24 eV/H2
and absorption capacity of 16 wt %, a record high value reported so far. The
stability of the proposed metal-ethylene complexes was tested by extensive
calculations such as normal-mode analysis, finite temperature first-principles
molecular dynamics (MD) simulations, and reaction path calculations. The phonon
and MD simulations indicate that the proposed structures are stable up to 500
K. The reaction path calculations indicate about 1 eV activation barrier for
the TM2-ethylene complex to transform into a possible lower energy
configuration where the ethylene molecule is dissociated. Importantly, no
matter which isometric configuration the TM2-ethylene complex possesses, the TM
atoms are able to bind multiple hydrogen molecules with suitable binding energy
for room temperature storage. These results suggest that co-deposition of
ethylene with a suitable precursor of TM or Li into nanopores of light-weight
host materials may be a very promising route to discovering new materials with
high-capacity hydrogen absorption properties
Melting of icosahedral gold nanoclusters from molecular dynamics simulations
Molecular dynamics simulations show that gold clusters with about 600--3000
atoms crystallize into a Mackay icosahedron upon cooling from the liquid. A
detailed surface analysis shows that the facets on the surface of the Mackay
icosahedral gold clusters soften but do not premelt below the bulk melting
temperature. This softening is found to be due to the increasing mobility of
vertex and edge atoms with temperature, which leads to inter-layer and
intra-layer diffusion, and a shrinkage of the average facet size, so that the
average shape of the cluster is nearly spherical at melting.Comment: 40 pages, 27 figure
Efficient formalism for large scale ab initio molecular dynamics based on time-dependent density functional theory
A new "on the fly" method to perform Born-Oppenheimer ab initio molecular
dynamics (AIMD) is presented. Inspired by Ehrenfest dynamics in time-dependent
density functional theory, the electronic orbitals are evolved by a
Schroedinger-like equation, where the orbital time derivative is multiplied by
a parameter. This parameter controls the time scale of the fictitious
electronic motion and speeds up the calculations with respect to standard
Ehrenfest dynamics. In contrast to other methods, wave function orthogonality
needs not be imposed as it is automatically preserved, which is of paramount
relevance for large scale AIMD simulations.Comment: 5 pages, 3 color figures, revtex4 packag
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