As a trilogy, this first paper along with the authors' two companion articles introduces alternate approaches to standard $R$-matrix parametrization of nuclear cross sections. The authors present evidence so-called shadow poles in theory for ${}^{134}$Xe. number and location depends upon how one continues operators complex wave numbers. also establish new pole sections, called $w\phantom{\rule{...

In this paper and an accompanying submission to $P\phantom{\rule{0}{0ex}}h\phantom{\rule{0}{0ex}}y\phantom{\rule{0}{0ex}}s\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}c\phantom{\rule{0}{0ex}}a\phantom{\rule{0}{0ex}}l$ $R\phantom{\rule{0}{0ex}}e\phantom{\rule{0}{0ex}}v\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}e\phantom{\rule{0}{0ex}}w$ $L\phantom{\rule{0}{0ex}}e\phantom{\rule{0}{0ex}}t\ph...

Purpose Susceptibility weighted imaging (SWI) based on GRE provides enhancement of susceptibility difference which is useful for visualization of vein, micro-hemorrhage and iron deposition. However, GRE suffers from the macroscopic B0 inhomogeneity due to air/tissue boundary and this effect is shown as SNR loss both in magnitude and phase. Previously, 3D z-shim multi-echo GRE (mGRE) pulse seque...

This study concentrates on the free pure radial vibrations of hollow spheres made of hypothetically functionally simple power rule graded materials having identical inhomogeneity indexes for both Young’s modulus and the density in an analytical manner. After offering the exact elements of the free vibration coefficient matrices for free-free, free-fixed, and fixed-fixed restraints, a parametric...

Tunnel coupling is a key parameter in coupled semiconductor quantum dots, and crucial ingredient various device applications, such as exchange gates spin shuttling information processing. A widely used charge-sensing technique to extract the tunnel of double dot accounts for only ground orbital state each dot, but authors show that Si valley-orbit must be included analysis. With their more comp...

Love-type wave generation in a fiber-reinforced medium placed over an inhomogeneous orthotropic half-space is analysed. The upper and lower boundary surfaces of the fiber reinforced medium are periodically corrugated. Inhomogeneity of half-space is caused by variable density and variable shear modules. Displacement components for layer and half-space are derived by applying separable variable t...

We perform a numerical study of emergent spiral wave activity in a two-dimensional reaction-diffusion-mechanics medium with a regional inhomogeneity in active and passive mechanical properties. We find that self-sustaining spiral wave activity emerges for a wide range of mechanical parameters of the inhomogeneity via five mechanisms. We classify these mechanisms, relate them to parameters of th...

Using differential magneto-optical imaging, we address the question of mesoscopic inhomogeneity in underdoped Bi2Sr2CaCu2O8 (Bi-2212) single crystals. Among other features, it is shown that an anomalous temperature dependence of the penetration field and of the first order transition (FOT) field of the vortex lattice in such crystals can be understood as arising from inhomogeneity. The effect o...

Purpose: In many pulse sequences of chemical exchange-sensitive MRI including multi-slice exchange saturation transfer (CEST) or sensitive spin-lock (CESL), there is a finite time delay between the irradiation preparation and imaging acquisition, during which T 1 -relaxation reduces contrast affects accuracy for volumetric imaging. We propose simple post-acquisition method to correct this conta...