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A L Burin

Publications and source records attributed to A L Burin.

5 recordsLinked to original sources

Probing localized states with spectrally resolved speckle techniques.

We have studied the spatial extent of localized states in random media using speckle correlation techniques. Optical gain is introduced to a local region of a random medium to induce lasing of the localized states. The far-field speckle pattern of laser emission from a localized state gives its spatial field correlation function at the surface of the random medium. The envelope of the spatial field correlation function decays exponentially with the transverse coordinate on the surface. The decay length is independent of the pumping rate and the excitation area. We demonstrate that localized states exist in a disordered system that does not reach the localization threshold.

Journal Article↗

Random laser in one dimension.

We present an analytical approach to random lasing in a one-dimensional medium, consistent with transfer matrix numerical simulations. It is demonstrated that the lasing threshold is defined by transmission through the passive medium and thus depends exponentially on the size of the system. Lasing in the most efficient regime of strong three-dimensional localization of light is discussed. We argue that the lasing threshold should have anomalously strong fluctuations from probe to probe, in agreement with recent measurements.

Journal Article↗

Model for a random laser.

The laser action in random media is studied numerically for a planar system of resonant scatterers pumped by an external laser. The eigenmodes of the finite system (quasistates) are "lossy" in the absence of gain because of the leakage of light outside the medium and can be characterized by their decay rates. Lasing occurs when the gain compensates the decay rate of the quasistate with the longest lifetime. The dependence of the lasing threshold on the number of scatterers (size of the system) is found to be I varies with 1/square root of (N), which agrees with recent experiments. We demonstrate that this dependence is strongly related to the fluctuations of quasistate decay rates and discuss the nature of these fluctuations.

Journal Article↗

Energy transport induced by an external alternating field in strongly disordered media.

The delocalization of excitations in an ensemble of two-level systems with a strong disorder due to an external alternating acoustic or electric field is considered. The propagating modes are shown to appear if a ratio of the field amplitude to the frequency is large enough. Two complementary approaches, the static one similar to that of Anderson and the dynamic one related to Landau-Zener, are developed. It is shown that the field-induced relaxation mechanism can have a strong influence on the kinetics. The internal friction is argued to be vastly affected by the relaxation mechanism proposed.

Journal Article↗

Charge hopping in DNA.

The efficiency of charge migration through stacked Watson-Crick base pairs is analyzed for coherent hole motion interrupted by localization on guanine (G) bases. Our analysis rests on recent experiments, which demonstrate the competition of hole hopping transitions between nearest neighbor G bases and a chemical reaction of the cation G(+) with water. In addition, it has been assumed that the presence of units with several adjacent stacked G bases on the same strand leads to the additional vibronic relaxation process (G(+)G...G) --> (GG...G)(+). The latter may also compete with the hole transfer from (G(+)G...G) to a single G site, depending on the relative positions of energy levels for G(+) and (G(+)G...G). A hopping model is proposed to take the competition of these three rate steps into account. It is shown that the model includes two important limits. One corresponds to the situation where the charge relaxation inside a multiple guanine unit is faster than hopping. In this case hopping is terminated by several adjacent G bases located on the same strand, as has been observed for the GGG triple. In the opposite, slow relaxation limit the GG...G unit allows a hole to migrate further in accord with experiments on strand cleavage exploiting GG pairs. We demonstrate that for base pair sequences with only the GGG triple, the fast relaxation limit of our model yields practically the same sequence- and distance dependencies as measurements, without invoking adjustable parameters. For sequences with a certain number of repeating adenine:thymine pairs between neighboring G bases, our analysis predicts that the hole transfer efficiency varies in inverse proportion to the sequence length for short sequences, with change to slow exponential decay for longer sequences. Calculations performed within the slow relaxation limit enable us to specify parameters that provide a reasonable fit of our numerical results to the hole migration efficiency deduced from experiments with sequences containing GG pairs. The relation of the results obtained to other theoretical and experimental studies of charge transfer in DNA is discussed. We propose experiments to gain a deeper insight into complicated kinetics of charge-transfer hopping in DNA.

Base Pairing↗