To describestimulated Raman scattering, we perform a three-scale WKB expansion inthe weakly nonlinear regime of geometric optics. The limit system isof Schru00f6dingeru2013Bloch type. We prove a global existence result forthis system and the convergence of its solution toward the solution ofthe ...
A one-dimensional (computationally fast) model of a monoclinic-crystal ultrasonic transducer is presented. Based on elastic equations and piezoelectric constitutive relations relevant for a monoclinic crystal, a set of mathematical-modelling equations is derived. Special emphasis is given to the problem ...
Fertig M (2015) Finite rate surface catalysis modelling of PM1000 and SiC employing the DLR CFD solver TAU. Paper presented at the 8th European symposium on aerothermodynamics for space vehicles, Lisbon, 2-6 March 2015 137. MacLean M, Marschall J, Driver DM (2011) Finite-rate surface ...
Raman scatteringFilterOptical fiberTemperatureLinear programmingThe paper presents a mathematical model for designing of Raman filters (Center Wavelength, FWHM). First,it studies the problem about the design of Raman filter's parameters,then brings forward a reasonable mathematical model with excellent ...
Raman scattering measurements of [CO] in methane flames suffer from laser-excited interference from higher hydrocarbons formed on the fuel-rich side of the reaction zone. It is well established [6-8] that measurements of [CO] based on two-photon laser-induced fluorescence (TPLIF) can provide ...
This work aimed to establish a fast and accurate method to detect glioma by combining surface〆nhanced Raman scattering (SERS) and mathematical analysis. At first, 785‐nm laser was selected as the optimum laser to acquire Raman spectra of human brain tissue. Second, it was verified that ...