TIME-DOMAIN MODELING OF SPECTRAL COLLAPSE IN HIGH-DENSITY MOLECULAR GASES

In many cases, the widely used matrix inversion approach to describe t he spectral interference in collisionally perturbed molecular spectra is not feasible if the particular molecular interactions do not allow the sudden impact approximation (infinitely short collision duration). To overcome this problem, we present a time domain model that describ es collisional broadening and narrowing phenomena without requiring th e sudden approximation. The key element of the model is a Monte Carlo type sampling process to quantify the temporal autocorrelation of the molecular dipole moment. The spectrum is then obtained numerically via fast Fourier transform. The model does not require a frequency-depend ent relaxation operator; the finite collision duration is simply an ad justable parameter in the time domain process. Our approach, which is generally applicable to any set of transition lines, is derived from c oncepts of both conventional quantum-mechanical and semiclassical theo ry of line interference. Coherent transfer effects from rotationally i nelastic collisions are described as randomly occurring events which a ffect frequency, amplitude, and phase of the sampled oscillation. Effe cts of vibrational dephasing are included as well. To demonstrate its feasibility, we apply the model here to the 2.7 mu absorption spectrum of carbon dioxide diluted in high density air (p=43-485 amagat, T=297 -754K). The successful modeling of the experimental data, especially t he full collapse of P and R branches at ultrahigh densities, accounts for interbranch mixing and for incoherent effects. The calculations ma ke extensive use of the new Hitran (HITEMP) molecular database. Result s include revised estimates for the collision duration of CO2 with nit rogen and oxygen at room temperature. (C) 1997 American Institute of P hysics.