In this chapter we discuss the physical properties of a particular family of non-centrosymmetric superconductors belonging to the class heavy-fermion compounds. This group includes the ferromagnet UIr and the antiferromagnets CeRhSi3,CeIrSi3,CeCoGe3,CeIrGe3 and CePt3Si, of which all but CePt3Si become superconducting only under pressure. Each of these superconductors has intriguing and interest...

The arsenite chloride Ce3OCl[AsO3]2 was synthesized in the form of colorless crystals from arsenic and cerium dioxide in a NaCl / KCl flux at 850 ◦C. Ce3OCl[AsO3]2 crystallizes with the noncentrosymmetric tetragonal Gd3OCl[AsO3]2 type, space group P42nm. The structure was refined from single crystal diffractometer data: a = 12.8590(6), c = 5.5627(3) Å, wR2 = 0.0429, 1463 F2 values, and 65 varia...

Structural symmetries in the storage ring of synchrotrons are intentionally created during design phase magnetic lattices, but they not considered control algorithms that stabilize beam accelerated particles. The choice algorithm, however, is limited by speed requirements synchrotron. Standard for based on a singular value decomposition (SVD) orbit response matrix. SVD controllers neither explo...

In this paper, we first give the solvability condition for the following inverse eigenproblem (IEP): given a set of vectors {xi}i=1 in Cn and a set of complex numbers {λi}i=1, find a centrosymmetric or centroskew matrix C in Rn×n such that {xi}i=1 and {λi}i=1 are the eigenvectors and eigenvalues of C respectively. We then consider the best approximation problem for the IEPs that are solvable. M...

In this paper, by assuming equiprobable centrosymmetric constellation adopted for modulation, the mathematic expectation of the sample auto-correlation matrix obtained through the least-squared channel estimation is derived under a rigorous model of the doubly selective fading channel for orthogonal frequency division multiplexing (OFDM) systems. Based on the derived expectation, the bias-prope...

This work is concerned with the signal interpolation problem, i.e., given only samples of a signal, a method is derived for evaluating its samples on finer grids. The derivation is based on a discrete-time decimation formula. In the special case where the known samples have the Hermitian property, two schemes are presented and mathematically proved to result in interpolated points having the sa...

In this article, we present a T-matrix method for numerical computation of second-harmonic generation from clusters arbitrarily distributed spherical particles made centrosymmetric optical materials. The electromagnetic fields at the fundamental and (SH) frequencies are expanded in series vector wave functions, single sphere entries computed by imposing field boundary conditions surface particl...

We say that X = [xi j ]n i, j=1 is centrosymmetric if xi j = xn− j+1,n−i+1, 1 i, j n. In this paper, we present an efficient algorithm for minimizing ‖AX B−C‖ where ‖·‖ is the Frobenius norm, A∈Rm×n , B∈ Rn×s , C ∈Rm×s and X ∈Rn×n is centrosymmetric with a specified central submatrix [xi j ]p i, j n−p . Our algorithm produces a suitable X such that AX B=C in finitely many steps, if such an X ex...

Second harmonic generation (SHG) is reported for the first time from the surfaces of centrosymmetric particles in bulk isotropic solution. Although SHG is generally described as electric dipole forbidden in centrosymmetric systems, we show that this requires the system to be centrosymmetric on length scales much less than the coherence length of the process. This condition is not satisfied for ...