Resonant susceptibility associated

The resonant susceptibility associated with a homogeneously broadened Raman transition, j, is,... 

Since the non-linear susceptibility is generally complex, each resonant term in the summation is associated with a relative phase, y , which describes the interference between overlapping vibrational modes. The resonant macroscopic susceptibility associated with a particular vibrational mode v, Xr, is related to the microscopic susceptibility also called the molecular hyperpolarizability, fiy, in the following way... 

Wlien resonances, or near resonances, are present in the 4WM process, the ordering of the field actions in the perturbative treatment (equation (Bl.3.1)). can be highly significant. Though the tliree-coloiir generators (E.s e, E e.s, . . . ) have identical frequency and wavevector algebra, their associated susceptibility... 

In summary, it is non-trivial to implement magnetic resonance pulse sequences which allow us to monitor unambiguously the decrease in absolute concentration of reactant species and associated increase in product species, but measures of relative concentrations from which conversion and selectivity are calculated are much easier to obtain. However, if such measurements are to be deemed quantitative the spectra must be free of (or at least corrected for) relaxation time and magnetic susceptibility effects. 

Detection sensitivity is one of the key issues in CARS microscopy. This is an especially acute problem in applications where chemical selectivity of CARS perfectly suits the tracking of small changes in cells related to specific protein and DNA distributions, external drug delivery/distribution, etc. There is, however, a component in CARS signal that is not associated with a particular vibration resonance and therefore does not carry chemically specific information. Unfortunately, in many cases, it can distort and even overwhelm the resonant signal of interest. In modeled approach, the CARS response originates from the third-order nonlinear susceptibility, which... 

The electric field components in equations 1 and 2 can be associated with the same or with different frequency components and, in some situations, can resonate with electronic or vibrational oscillations in the medium. This situation has led to a shorthand notation to describe the interactions leading to the various nonlinear effects of interest. Various susceptibility functions corresponding to the x and x effects of interest and their shorthand representation are listed in Table 6.1. 

Chiang YL, Lin CH, Yen MY, Su YD, Chen SJ, Chen HF (2009) Innovative antimicrobial susceptibility testing method using surface plasmon resonance. Biosens Bioelectron 24 1905-1910 China B, Pirson V, Mainil J (1996) Typing of bovine attaching and effacing Escherichia coli by multiplex in vitro amplification of virulence-associated genes. Appl Environ Microbiol 62 3462-3465... 

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