Optical precursors and Beer's law violations; non-exponential propagation losses in water

We develop a model for exponential decay of broadband pulses, and examine its implications for experiments on optical precursors. One of the signature features of Brillouin precursors is attenuation with a less rapid decay than that predicted by Beer's Law. Depending on the pulse parameters and the model that is adopted for the dielectric properties of the medium, the limiting z-dependence of the loss has been described as z(-1/2), z(-1/3), exponential, or, in more detailed descriptions, some combination of the above. Experimental results in the search for precursors are examined in light of the different models, and a stringent test for sub-exponential decay is applied to data on propagation of 500 femtosecond pulses through 1-5 meters of water. (C) 2005 Optical Society of America.

Myths and Truths: The "Law and Finance Theory" Revisited

The law and finance theory identifies two dominating legal traditions, a common law tradition inherited from England, and a civil law tradition that is going back to 19th century codifications in France, Germany and Scandinavia. Another key notion of the theory is the distinction between insiders (stakeholders, "the State") and outsiders (shareholders as well as creditors). The micro foundation of this approach is the willingness to invest. The innovative addition of the law and finance theory to these ideas lies in the way it combines them with its peculiar view on legal history. The innovative addition of the law and finance theory to these ideas lies in the way it combines them with its peculiar view on legal history. The major conclusion of this theory is that the common law system provides the best basis for financial development and economic growth, followed by Scandinavian and German origin civil law and finally French origin civil law.