A quasi-analytic model of a linear Stark accelerator/decelerator for polar molecules |
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Authors: | Email author" target="_blank">B?FriedrichEmail author |
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Institution: | (1) Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195 Berlin, Germany |
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Abstract: | This article describes a quasi-analytic model of a linear Stark accelerator/decelerator for polar molecules in both their low- and high-field seeking states, and examines the dynamics of the acceleration/deceleration process and its phase stability. The requisite time-dependent inhomogeneous Stark fields, used in current experiments, are Fourier-analyzed and found to consist of a superposition of partial waves with well-defined phase velocities. The kinematics of the interaction of molecules with the partial waves is discussed and the notion of a phase of a molecule in a travelling field is introduced. Next, the net potential and the net force that act on the molecules are derived. A special case, the first-harmonic accelerator/decelerator, is introduced. This represents a model system many of whose properties can be obtained analytically. The first-harmonic accelerator/decelerator dynamics is presented and discussed along with that of the isomorphic biased-pendulum problem. Finally, the general properties of the velocity of the molecules in a phase-stable accelerator/decelerator are examined.Received: 11 August 2004, Published online: 23 November 2004PACS:
32.60. + i Zeeman and Stark effects - 39.10. + j Atomic and molecular beam sources and techniques - 45.50.-j Dynamics and kinematics of a particle and a system of particles - 29.17. + w Electrostatic, collective, and linear accelerators |
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