Cusp Kernels for Velocity-Changing Collisions

Abstract

We introduce an analytical kernel, the "cusp" kernel, to model the effects of velocity-changing collisions on optically pumped atoms in low-pressure buffer gases. Like the widely used Keilson-Storer kernel [J. Keilson and J. E. Storer, Q. Appl. Math. 10, 243 (1952)], cusp kernels are characterized by a single parameter and preserve a Maxwellian velocity distribution. Cusp kernels and their superpositions are more useful than Keilson-Storer kernels, because they are more similar to real kernels inferred from measurements or theory and are easier to invert to find steady-state velocity distributions.

4 pages, 2 figures

References in corpus (2)

• Optimization of cw sodium laser guide star efficiency
• Accuracy of one-dimensional collision integral in the rigid spheres approximation

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