Removal of inhomogeneous internal multiples

Fokkema, J.T.; Borselen, R.G. van; Berg, Peter

doi:10.3997/2214-4609.201409897

Cited by 8 publications

(9 citation statements)

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“…does give the expected supersymmetric ground state for L = 2 but not for L = 4, 5 and higher. We have observed that modified definitions of the supercharges can be tuned such as to produce supersymmetric ground states on small-sized lattices, suggesting an iterative procedure to define these charges [33]. The algebraic structure of the spin-full case is considerably more complicated than that of the spin-less case, both in the CFT and on the lattice.…”

Section: Spin-full Lattice Modelsmentioning

confidence: 99%

Spinon bases in supersymmetric CFTs

Fokkema¹,

Schoutens²

2016

J. Phys. A: Math. Theor.

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We present a novel way to organise the finite size spectra of a class of conformal field theories (CFT) with N = 2 or (non-linear) N = 4 superconformal symmetry. Generalising the spinon basis of the SU (n) 1 WZW theories, we introduce supersymmetric spinons (φ − , φ + ), which form a representation of the supersymmetry algebra. In each case, we show how to construct a multi-spinon basis of the chiral CFT spectra. The multi-spinon states are labelled by a collection {n j } of (discrete) momenta. The state-content for given choice of {n j } is determined through a generalised exclusion principle, similar to Haldane's 'motif' rules for the SU (n) 1 theories. In the simplest case, which is the N = 2 superconformal theory with central charge c = 1, we develop an algebraic framework similar to the Yangian symmetry of the SU (2) 1 theory. It includes an operator H 2 , akin to a CFT Haldane-Shastry Hamiltonian, which is diagonalised by multi-spinon states. In all cases studied, we obtain finite partition sums by capping the spinon-momenta to some finite value. For the N = 2 superconformal CFTs, this finitisation precisely leads to the so-called M k supersymmetric lattice models with characteristic order-k exclusion rules on the lattice. Finitising the c = 2 CFT with non-linear N = 4 superconformal symmetry similarly gives lattice model partition sums for spin-full fermions with on-site and nearest neighbour exclusion.

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Section: Spin-full Lattice Modelsmentioning

confidence: 99%

Spinon bases in supersymmetric CFTs

Fokkema¹,

Schoutens²

2016

J. Phys. A: Math. Theor.

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“…For example, using Rayleigh's reciprocity theorem, Fokkema et al (1994) derive equations to remove multiples from a known subsurface interface. Weglein et al (1997) use a Lippmann-Schwinger scattering series to remove internal multiples without knowledge of subsurface reflectors.…”

Section: Introductionmentioning

confidence: 99%

Attenuating multiple-related imaging artifacts using combined imaging conditions

Filho

Curtis

2016

GEOPHYSICS

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The objective of prestack depth migration is to position reflectors at their correct subsurface locations. However, migration methods often also generate artifacts along with physical reflectors, which hamper interpretation. These spurious reflectors often appear at different spatial locations in the image depending on which migration method is used. Therefore, we have devised a postimaging filter that combines two imaging conditions to preserve their similarities and to attenuate their differences. The imaging filter is based on combining the two constituent images and their envelopes that were obtained from the complex vertical traces of the images. We have used the method to combine two images resulting from different migration schemes, which produce dissimilar artifacts: a conventional migration method (equivalent to reverse time migration) and a deconvolution-based imaging method. We show how this combination may be exploited to attenuate migration artifacts in a final image. A synthetic model containing a syncline and stochastically generated small-scale heterogeneities in the velocity and density distributions was used for the numerical example. We compared the images in detail at two locations where spurious events arose and also at a true reflector. We found that the combined imaging condition has significantly fewer artifacts than either constituent image individually.

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“…The numerical approach we were using previously for determining the eigenvalues of a large matrix (the implementation of the Davidson algorithm by Stathopoulos and Froese Fischer [13]) was suitable for the computation of just the lowest (highest) matrix eigenvalues. In the present work, we use the Jacobi-Davidson algorithm as implemented within the JDQZ package [14,15]. The JDQZ package, although significantly slower than the one by Stathopoulos and Froese Fischer, was able to provide us with eigenvalues and the corresponding eigenvectors around an arbitrary energy target far from the lowest eigenvalue.…”

Section: A Dirac-coulomb-breit Energymentioning

confidence: 99%

Relativistic configuration-interaction calculation ofKαtransition energies in berylliumlike iron

2014

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We perform relativistic configuration-interaction calculations of the energy levels of the low-lying and coreexcited states of beryllium-like iron, Fe 22+ . The results include the QED contributions calculated by two different methods, the model QED operator approach and the screening-potential approach. The uncertainties of theoretical energies are estimated systematically. The predicted wavelengths of the Kα transitions in berylliumlike iron improve previous theoretical results and compare favourably with the experimental data.

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Removal of inhomogeneous internal multiples

Cited by 8 publications

References 0 publications

Spinon bases in supersymmetric CFTs

Spinon bases in supersymmetric CFTs

Attenuating multiple-related imaging artifacts using combined imaging conditions

Relativistic configuration-interaction calculation ofKαtransition energies in berylliumlike iron

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