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Analytical Theory of an RF Generator Phase-Locked by the Resonant Load with Delayed Reflection

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Abstract

The theory is developed which describes evolution of an RF generator (auto-oscillator) coupled by a waveguide with an outer resonator. The treatment is based on a simplified universal method which implies the following conditions to be valid: 1) the resonant load Q is much higher than that of the generator, 2) the generator-load coupling is weak, but non-zero, and, 3) the system evolution time is much longer than the lifetime of active medium particles. When the parameters of such a system, including the wave delay time, belong to an optimum region, the generator, after a delay, becomes frequency pulled to the outer resonator.

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Acknowledgements

Authors are indebted to M. I. Petelin for numerous stimulating discussions and G. S. Nusinovich for editing the manuscript.

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Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Science, 46 Ulyanov Street, N. Novgorod, 603950, Russia

    Yulia Vladimirovna Novozhilova & Alexey Sergeevich Ishenko

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  1. Yulia Vladimirovna Novozhilova
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  2. Alexey Sergeevich Ishenko
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Correspondence to Yulia Vladimirovna Novozhilova.

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Novozhilova, Y.V., Ishenko, A.S. Analytical Theory of an RF Generator Phase-Locked by the Resonant Load with Delayed Reflection. J Infrared Milli Terahz Waves 32, 1394–1406 (2011). https://doi.org/10.1007/s10762-011-9828-z

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  • DOI: https://doi.org/10.1007/s10762-011-9828-z

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