Conditions for ponderomotive resonances in the Kapitza–Dirac effect |
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Authors: | Chao Yu Jingtao Zhang Zhenrong Sun Ju Gao Dong-Sheng Guo |
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Institution: | 1. State Key Laboratory of Precision Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, China2. Department of Physics, Shanghai Normal University, Shanghai 200234, China3. Suzhou Jingpin Advanced Materials Co. Ltd., Jiangsu FOHO Science Park, Fenhu Town, Suzhou 215211, China4. School of Physics, Peking University, Beijing 100871, China |
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Abstract: | By applying a nonperturbative quantum electrodynamic theory, we study ponderomotive resonances when an electron beam is scattered by a standing photon wave. Our study shows that the ponderomotive parameter up, the ponderomotive energy per laser-photon energy, for each of the two traveling laser modes possesses a minimum value ℏω/(mec2). Ponderomotive resonances occur only when the ratio of the laser photon energy to the electron rest-mass energy is a fraction, where the denominator is twice the square of a positive integer and the numerator is the total ponderomotive number, which is also a positive integer. |
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Keywords: | Kapitza–Dirac effect strong laser physics nonperturbative quantum electrodynamics |
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