A repetitively pulsed sealed-TE CO2 laser using an oxygen tolerant discharge scheme

A repetitively pulsed (40 Hz) TE CO₂ laser using an oxygen tolerant discharge scheme is described. Long lived (>10⁵ shots) stable discharges at high pump energy density (200 J.l^–1 atm^–1) have been achieved both with and without the use of additive gases.     

Influence of weak reflections from anti-reflection coated surfaces on CO2 laser optics design

The influence of interference due to weak reflections from anti-reflection coated surfaces in CO₂ laser optics is discussed and analysed. In certain cases quite low reflection levels (1%) are shown to lead to uncertainties in the mirror transmission coefficient or produce a non-uniform power loading on the mirror surface, resulting in damage.     

Algorithm for Optimal Triangulations in Scattered Data Representation and Implementation

Scattered data collected at sample points may be used to determine simple functions to best fit the data. An ideal choice for these simple functions is bivariate splines. Triangulation of the sample points creates partitions over which the bivariate splines may be defined. But the optimality of the approximation is dependent on the choice of triangulation. An algorithm, referred to as an Edge Swapping Algorithm, has been developed to transform an arbitrary triangulation of the sample points into an optimal triangulation for representation of the scattered data. A Matlab package has been completed that implements this algorithm for any triangulation on a given set of sample points.     

Subnanosecond mid-infrared laser pulse generation by synchronous mode-locked CO2 laser pumping

An injection mode-locked CO₂ laser has been used to synchronously pump NH₃ and C₂D₂ mid-infrared lasers resulting in the generation of short (? 1 ns) and powerful (> 1 MW) pulse trains.     

Generalized markushevich bases

Conditions for the embedding of a Banach space as a dense subspace of a continuous function space are studied. Necessary and sufficient conditions for a Banach space to be isomorphic to aP ₁ space are found.