Matrix techniques are applied to the mode analysis of laser resonators having spherical mirrors and Gaussian profiles of the mirror reflectivity. These same analytical methods provide a useful approximation to the mode and loss characteristics of conventional resonators having an abrupt discontinuity of the reflectivity. Mode selection in apertured waveguides and resonators is also discussed.

Based on the harmonic balance method (HBM), an approximate solution is determined from the integral expression (i.e., first order differential equation) of some strongly nonlinear oscillators. Usually such an approximate solution is obtained from second order differential equation. The advantage of the new approach is that the solution converges significantly faster than that obtained by the us...

The connection matrix theory for Morse decompositions is introduced. The connection matrices are matrices of maps between the homology indices of the sets in the Morse decomposition. The connection matrices cover, in a natural way, the homology index braid of the Morse decomposition and provide information about the structure of the Morse decomposition. The existence of connection matrices of M...

This paper describes the methodology and analytical methods used in nuclear forensic investigations. Two case studies are taken as examples to illustrate this. These examples represent typical cases that have been analysed at the Institute for Transuranium Elements (ITU) since last 10 years, i.e. the beginning of the illicit trafficking of nuclear materials. Results of the various analytical te...

Introduction Conclusions References

The propose a novel algorithm that compute a skeletal graph and thus capture the topology of an object Topology is an important attribute of an object which describes how different parts of an object surface are connected to each other. The method is based on capturing the topology of a modified reeb graph by tracking the critical points of a distance function. The algorithm for constructing th...

The travel time brachistochrone curves in a general relativistic framework are timelike curves, satisfying a suitable conservation law with respect to a an observer field, that are stationary points of the travel time functional. In this paper we develop a global variational theory for brachistochrones joining an event p and the worldline of an observer γ in a stationary spacetime M. More speci...

It is well-known, that healthy people’s body produces natural autoantibodies (NAAB) to antigens of its own organs and tissues in the course of the whole life. It is anticipated that such NAAB take part in body clearance from natural catabolism products and participate in regulation of many physiological functions [1, 2]. Serum content of NAAB of the same specificity in healthy people is relativ...

We cannot understand why Treisman and Geffen (1967) think their experiment argues against our theory (Deutsch and Deutsch, 1963). Briefly, Treisman and Geffen ask subjects to repeat and tap to certain words in one message, played to one ear, and only tap to such words when they occur in another message played to the other ear. They find that subjects neglect the words to which they only have to...

Several analytical methods have been suggested for the determination of mannosidostreptomycin (streptomycin B) (5, 6). Titus and Fried (6, 12) and Plaut and McCormack,’ who have utilized the quite specific and quite accurate but yet laborious counter-current distribution methods (previously described by Craig) for the isolation and determination of streptomycin B, have noted a number of difficu...