The principle of causality leads to linear Kramers–Kronig relations (KKR) that relate the real and imaginary parts complex modulus [Formula: see text] through integral transforms. Using multiple generalization Boltzmann superposition for nonlinear rheology, causality, we derived KKR, which order text]. For text], obtained KKR medium amplitude parallel (MAPS) rheology. A special case MAPS is osc...

The title paper [Spectrochim. Acta A 213 (2019): 391–396] reports an improvement of the ”Poor Man’s Kramers–Kronig analysis” and ”Kramers–Kronig constrained variational thanks to ad hoc modification some analytical formulas existing in literature. This is not based on mathematical grounds. In this comment we show that no required but a correction formula used by authors 391–396].

A fast quantitative phase imaging technology based on space-domain Kramers-Kronig relations is proposed. By incorporating relations, we acquire distributions via measurements of intensity over the captured spectrum. Only using four low-resolution images, built a microscope prototype with half-pitch resolution 625 nm (final effective performance 0.5 NA) and field view 3.8 mm 2 at wavelength 10×/...

We describe a simple magneto-optical experiment and introduce a magneto-optical Kramers-Kronig analysis (MOKKA) that together allow extracting the complex dielectric function for left- and right-handed circular polarizations in a broad range of frequencies without actually generating circularly polarized light. The experiment consists of measuring reflectivity and Kerr rotation, or alternativel...

2014 Normal and oblique incidence reflectances of GaTe have been measured in the 2.5 to 26 eV range using polarized synchrotron radiation. We have deduced 3 complex refractive indices, relative to 3 different crystallographic directions by means of a new method consistent with the Kramers-Kronig relations. We have verified that the electronic transitions in the 20 eV region, from the 3d Ga leve...

Mesoporous layers of silica are of interest for many optical applications, including the creation of devices ranging from optical sensors to laser sources with promising characteristics. Their optical characterization goes through the interpretation of measurements. We propose to give experimental results of reflectance and scattering measurements concerning mesoporous layers of silica deposite...

The contribution of ions to the electrical impedance of an electrolytic cell limited by perfect blocking electrodes is determined by considering the role of the anomalous diffusion process and memory effects. Analytical solutions for fractional diffusion equations together with Poisson's equation relating the effective electric field to the net charge density are found. This procedure allows th...

We investigate nonanalyticities (e.g., zeros and poles) of refractive index $n(\ensuremath{\omega})$ group ${n}_{g}(\ensuremath{\omega})$ in different optical media. first demonstrate that while a Lorentzian dielectric has no nonanalyticity the upper half complex frequency plane (CFP), its index---which governs pulse-center propagation---possesses same region. Thus we classify as (a) order (ref...