Chiral metamaterials - artificial subwavelength structures with broken mirror symmetry - demonstrate outstanding degree of optical chirality that exhibits sophisticated spectral behavior and can eventually reach extreme values. Based on the fundamental causality principle we show how one can unambiguously relate the metamaterial circular dichroism and optical activity by the generalized Kramers...

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...

We demonstrate the connection between theoretical expressions for the correlation of ambient noise Rayleigh and Love waves and the exact surface-wave Green’s tensors for a point force. The surface-wave Green’s tensors are well known in the far-field limit. On the other hand, the imaginary part of the exact Green’s tensors, including near-field effects, arises in correlation techniques such as t...

A derivation of the fluctuation-dissipation theorem for the microcanonical ensemble is presented using linear response theory. The theorem is stated as a relation between the frequency spectra of the symmetric correlation and response functions. When the system is not in the thermodynamic limit, this result can be viewed as an extension of the fluctuation-dissipation relations to a situation wh...

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×/...

Abstract Generalized Kramers–Kronig (K–K) type dispersion relations and sum rules are derived in the static limit for moments of degenerate four wave mixing susceptibility. The nonlinear susceptibility is different from a typical use conventional K–K relations, which assume absence complex poles function upper half frequency plane, whereas has simultaneous both planes. In derivation generalized...

We calculate the open path phase in a two state model with a slowly (nearly adiabatically) varying time-periodic Hamiltonian and trace its continuous development during a period. We show that the topological (Berry) phase attains π or 2π depending on whether there is or is not a degeneracy in the part of the parameter space enclosed by the trajectory. Oscillations are found in the phase. As adi...