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arXiv physics/0604013physics.acc-phcond-mat.otherhep-ph
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相对论束团的实场和象场

Real and Image Fields of a Relativistic Bunch

B. B. Levchenko

摘要:

本文导出了圆形截面相对论带电束团外场的解析表达式。在远离聚束的距离,该字段减少到相对论修改库仑形式和在附近的区域,再现连续光束的外部字段。如果聚束被导电表面包围,则聚束自场被修改。本文详细研究了两平行导体平面间的聚束产生的像场。由Laslett发明的直接法对图像场进行精确求和,使得无穷级数可以用初等三角函数表示。

英文摘要:

We derive analytical expressions for external fields of a charged relativistic bunch with a circular cross section. At distances far from the bunch, the field reduces to the relativistic modified Coulomb form and in the near region, reproduce the external fields of a continuous beam. If the bunch is surrounded by conducting surfaces, the bunch self-fields are modified. Image fields generated by a bunch between two parallel conducting planes are studied in detail. Exact summation of image fields by the direct method invented by Laslett allows the infinite series to be represented in terms of elementary trigonometric functions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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