The effect of direct processes on the statistical properties of deterministic scattering processes in a chaotic waveguide is examined. The single-channel Poisson kernel describes well the distribution of S-matrix eigenphases when evaluated over an energy interval. When direct processes are transformed away, the scattering processes exhibit universal random matrix behavior. The effect of chaos o...

Studies of the physical parameters that influence the single scattering properties of a size distribution of small particles in random orientation are fundamental in understanding the origin of the observed dependence of the scattering matrix elements on the scattering angle. We present results of extensive calculations of the single scattering matrices of small nonspherical particles performed...

Wave scattering in chaotic systems with a uniform energy loss (absorption) is considered. Within the random matrix approach we calculate exactly the energy correlation functions of different matrix elements of impedance or scattering matrices for systems with preserved or broken time-reversal symmetry. The obtained results are valid at any number of arbitrary open scattering channels and arbitr...

In numerical modelling of chemical reactions one calculates the scattering matrix for the required values of energy and angular momentum. Having done so, one still faces the non-trivial task of extracting detailed information about the reaction mechanism. We discuss the methods and numerical tools for such an analysis in terms of resonance poles and semiclassical trajectories. Our approach avoi...

Prediction of the statistics of scattering in typical wave-chaotic systems requires combining system-specific information with universal aspects of chaotic scattering as described by random matrix theory. This Rapid Communication shows that the average impedance matrix, which characterizes such system-specific properties, can be semiclassically calculated in terms of ray trajectories between po...

Title of Dissertation: STATISTICS OF IMPEDANCE AND SCATTERING MATRICES IN CHAOTIC MICROWAVE CAVITIES: THE RANDOM COUPLING MODEL Xing Zheng, Doctor of Philosophy, 2005 Dissertation directed by: Professor Edward Ott Professor Thomas M. Antonsen, Jr. Department of Physics A model is proposed for the study of the statistical properties of the impedance (Z) and scattering (S) matrices of open electr...

Scattering of waves, e.g., light, due to medium inhomogeneity is ubiquitous in physics and considered detrimental for many applications. Wavefront shaping technology a powerful tool defeat scattering focus light through inhomogeneous media, which vital optical imaging, communication, therapy, etc. based on the matrix (SM) extremely useful handling dynamic processes linear regime. However, imple...

we present a detailed analysis of the static tuning characteristics of three section tunable distributed bragg reflector (dbr) laser. the analysis is based on the transfer matrix method (tmm), transmission line and scattering theory. the key feature of the analysis is the use of modified oscillation condition. with the exact oscillation condition, the static tuning characteristics such as thres...

In this paper we review recent developments in scattering theory related to applications involving polarised electromagnetic waves. We concentrate on applications in random media where second and higher order moments of the scattered field are important. We split the discussion into surface and volume scattering effects and consider each separately. However, we employ a unified approach based o...

For many research areas in biomedical optics, information about scattering of polarized light in turbid media is of increasing importance. Scattering simulations within this field are mainly performed on the basis of radiative transfer theory. In this study a polarization sensitive Monte Carlo solution of radiative transfer theory is compared to exact Maxwell solutions for all elements of the s...