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2,269
Magnetism from conductors and enhanced nonlinear phenomena,”
 IEEE Trans. on Microwave Theory and Techniques,
, 1999
"... Abstract: We analyze the transmission properties of double negative metamaterials (DNM). Numerical simulations, based on the transfer matrix algorithm, show that some portion of the electromagnetic wave changes its polarization inside the DNM structure. As the transmission properties depend strongl ..."
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Cited by 465 (3 self)
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of permeability and both the real and the imaginary part of the permittivity are negative. Transmission data for some new structures are also shown. Of particular interest is the structure with cut wires, which possesses two double negative pass bands. A 299 309 (2002)
Complex wavelets for shift invariant analysis and filtering of signals
 J. Applied and Computational Harmonic Analysis
, 2001
"... This paper describes a form of discrete wavelet transform, which generates complex coefficients by using a dual tree of wavelet filters to obtain their real and imaginary parts. This introduces limited redundancy (2m: 1 for mdimensional signals) and allows the transform to provide approximate shift ..."
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Cited by 384 (40 self)
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This paper describes a form of discrete wavelet transform, which generates complex coefficients by using a dual tree of wavelet filters to obtain their real and imaginary parts. This introduces limited redundancy (2m: 1 for mdimensional signals) and allows the transform to provide approximate
The symplectic nature of fundamental groups of surfaces
 ADV. MATH
, 1984
"... A symplectic structure on a manifold is a closed nondegenerate exterior 2form. The most common type of symplectic structure arises on a complex manifold as the imaginary part of a Hermitian metric which is Klhler. Many moduli spaces associated with Riemann surfaces have such Kahler structures: the ..."
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Cited by 223 (8 self)
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A symplectic structure on a manifold is a closed nondegenerate exterior 2form. The most common type of symplectic structure arises on a complex manifold as the imaginary part of a Hermitian metric which is Klhler. Many moduli spaces associated with Riemann surfaces have such Kahler structures
OPERATORS WITH COMPACT IMAGINARY PART
"... In this note we initiate a study of the old unsolved problem whether every T ∈ L(H) of the form T = H + iK with K compact has a nontrivial invariant subspace, using [6] as our main tool. In case K ≥ 0 we obtain some positive results. 1. Let H be a separable, infinite dimensional, complex Hilbert spa ..."
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spectrum, and essential (Calkin) norm of T, respectively, and C∗(S) for the unital C∗algebra generated by a collection S ⊂ L(H). We remind the reader that the question whether every operator T in L(H) with compact imaginary part (i.e., T = H + iK with H, K selfadjoint and K ∈ K) has a nontrivial invariant
The DualTree Complex Wavelet Transform: A New Efficient Tool For Image Restoration And Enhancement
"... A new implementation of the Discrete Wavelet Transform is presented for applications such as image restoration and enhancement. It employs a dual tree of wavelet filters to obtain the real and imaginary parts of the complex wavelet coefficients. This introduces limited redundancy (4 : 1 for 2dimen ..."
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Cited by 189 (13 self)
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A new implementation of the Discrete Wavelet Transform is presented for applications such as image restoration and enhancement. It employs a dual tree of wavelet filters to obtain the real and imaginary parts of the complex wavelet coefficients. This introduces limited redundancy (4 : 1 for 2
Random Matrix Theory and ζ(1/2 + it)
, 2000
"... We study the characteristic polynomials Z(U,#)of matrices U in the Circular Unitary Ensemble (CUE) of Random Matrix Theory. Exact expressions for any matrix size N are derived for the moments of and Z/Z # , and from these we obtain the asymptotics of the value distributions and cumulants of the re ..."
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Cited by 157 (20 self)
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of the real and imaginary parts of log Z as N ##. In the
Role of the imaginary part in the Moyal quantization
, 2001
"... We show that the imaginary part of the ⋆genvalue equation in the Moyal quantization reveals the symmetries of the Hamiltonian by which we obtain the conserved quantities. Applying to the Toda lattice equation, we derive conserved quantities which are used as the independent variables of Wigner func ..."
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We show that the imaginary part of the ⋆genvalue equation in the Moyal quantization reveals the symmetries of the Hamiltonian by which we obtain the conserved quantities. Applying to the Toda lattice equation, we derive conserved quantities which are used as the independent variables of Wigner
On the signs of the imaginary parts of the effective permittivity and permeability in metamaterials
 J. Opt. Soc. Am. B
, 2010
"... The signs of the imaginary parts of the permittivity and permeability in metamaterials such as split ring resonators and strip wires are investigated. It is shown that the Lorentzian model often used to describe the effective parameters (i.e., the permittivity and permeability) of these metamateria ..."
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Cited by 2 (0 self)
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The signs of the imaginary parts of the permittivity and permeability in metamaterials such as split ring resonators and strip wires are investigated. It is shown that the Lorentzian model often used to describe the effective parameters (i.e., the permittivity and permeability
Imaginary part of the electromagnetic lepton form factors
, 1998
"... The charge F1(0) and the magnetic F2(0) form factors of heavy charged leptons have been shown in the framework of the perturbation theory to have imaginary part. The imaginary parts of the form factors for muon and tau lepton have been calculated at the twoloop level in the Standard Model. The effe ..."
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The charge F1(0) and the magnetic F2(0) form factors of heavy charged leptons have been shown in the framework of the perturbation theory to have imaginary part. The imaginary parts of the form factors for muon and tau lepton have been calculated at the twoloop level in the Standard Model
Results 1  10
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2,269