The paradigm of electrons interacting with a periodic lattice potential is central to solid-state physics. Semiconductor heterostructures and ultracold neutral atomic lattices capture many the essential properties 1D electronic systems. However, fully one-dimensional superlattices are highly challenging fabricate in solid state due inherently small length scales involved. Conductive atomic-forc...

We briefly review the electrical-optical response of materials to radiative forcing within the formalism of the Kramers-Kronig relations. A commensurate set of criteria is described that must be met by any frequency-domain model representing the time-domain response of a real (i.e., physically possible) material. The criteria are applied to the Brendel-Bormann (BB) oscillator, a model that was ...

As previous theoretical results recently revealed, a Kramers-Kronig transform of multiphoton absorption rates allows for a precise prediction on the dispersion of the nonlinear refractive index n2 in the near IR. It was shown that this method allows to reproduce recent experimental results on the importance of the higher-order Kerr effect. Extending these results, the current manuscript provide...

A method is described with which immittance data can be tested for Kronig-Kramers compliance. In contrast with other procedures, this method is l inear in nature and is based on a predetermined set of relaxation times. The model contains as many parameters (or less) as there are data sets. Three modes of operation are described, the first two are based on a linear fit of the model function to t...

We have demonstrated a new quantitative method to characterize two-dimensional distributions of energy-dependent dielectric function of materials from low loss electron spectroscopic image (ESI) series. Two problems associated with extracted image-spectrum from the low-loss image series, under-sampling and loss of energy resolution, were overcome by using fast Fourier transformation (FFT) inter...

The need to improve sensing technology for widespread application in everyday life is fueling the development of diffraction-based sensing, an optical sensing technique. Selectivity and sensitivity issues must first be resolved. Both selectivity and sensitivity can be increased by using resonance conditions — that is, using a probe wavelength where the system absorbs. The resonance effects are ...