Absorption Coefficients of Inelastic Dynamic X-Ray Diffraction

The X-ray inelastic scattering phenomena during the time-dependent perturbations are described with the aid of dynamical dispersion equations coupled with charge current in the Maxwell equations towards the appearance of the Debye-Waller factor driving the absorption coefficient, either for inelastic thermal diffusion and the Compton scattering, respectively.

The Basics of Non-Linear Optics

At a semi-classical level, the main analytical electromagnetic field theory tools were first used to describe the non-linear effects of light-light coupling as a basic cause of nonlinear optical phenomena and applications.

The Concept of X-Ray Standing Wave

The concept of “Standing Waves” (SW) that arise in the crystal dynamically “attacked” by the frequency fields X is analytically analyzed towards expressing, in almost all the cases, the total intensity of the fields on dispersion branches in the perfect crystal and for the embedded layer on the imperfect crystal using various extensions of the semi-classical dynamic theory, adapted or reparameterized, depending on the specific conditions of analysis performed.

Molecular Light Control in Rare-Gases Matrices

Various characteristics and mechanisms of HCl that has been entrapped in rare gas matrices (Ar, Kr, and Xe) are presented with regard to the spectroscopic characterization of exciplexes, cage exits, photo-dissociations, charge transfers, and the harpoonic mechanism. In addition, this chapter sheds light on specific quantum, potential, and reactive behavior of physical-chemical interactions.

Interacting Quantum Systems

In this chapter, basic quantum tools such as time-evolution operators, transition rates and amplitudes, statistical and projector operators, and interaction and density matrix representations are employed to characterize the open and interacting quantum systems with the aid of Schrödinger, quantum master, Fokker-Planck, and Feynman path integral equations and formulations.

Spectral Atomic Selection and Pumping

Basic concepts of modern quantum optics as of Ramsey-Raman-Rabi spectroscopy through pulses rather than by using a broad single light excitation of two-level atomic/molecular system towards atomic pumping, selection, and interferometer are exposed in an analytical and phenomenological manner.

Light Amplification Analysis

The main geometrical and quantum relationships between light and a substance are derived by characterizing the laser’s light generation, threshold, resonances, stability, multimode locking and selection, polarization and stimulated Raman phase matching towards achieving the best energy gain, intensities, and optical information on the involved states either of light or of the substance that is investigated.

Classical and Quantum Theories of Dynamic X-Ray Diffraction

The main results of the dynamical theories of X-ray diffraction in their standard form of coupling of Maxwell equations with the Bloch waves on the one hand and the interaction of radiation-crystal in terms of perspective of quantum field on the other are unitarily presented.

General Concepts and Theories in X-Ray Diffraction

The various forms of the X-Ray Diffraction (XRD) theory in the crystal are considered as perfect or imperfect for the version “perfect on portions” (i.e. with slight deformations or with a constant deformation gradient), following historical developments and performances of the models.

Raman Saturate Absorption

Remarkable atomic population difference symmetry and coherence properties that are achieved without the custom laser-induced population inversion by the non-linear (Raman) saturated absorption spectroscopy are quantum mechanically explained and analytically modeled.