Summary
The radiation emitted by the linear undulator installed on a straight section of the ADONE storage ring is studied both experimentally and theoretically. In particular, expressions are provided for the field at finite distance, based on the complex Fresnel integral. In addition, several expressions are derived for the average intensity pattern as a function of the electron beam divergence and energy spread. These formulae are used for analysing the spectral and angular patterns of the radiation measured from a distance of 20 m from the undulator origin. The excellent quality of the undulator and the negligible influence on the pattern of the electron beam divergence are confirmed by the satisfactory agreement of the measured radiation field with the computer-generated one.
Riassunto
Si espone lo studio sperimentale e teorico della radiazione emessa dall’ondulatore lineare, installato su una sezione dritta dell’anello di accumulazione ADONE. In particolare, si illustra la possibilità di esprimere il campo a distanza finita utilizzando l’integrale complesso di Fresnel. Sono inoltre presentate varie espressioni dell’intensità media in funzione della divergenza angolare del fascio e della differenza di energia fra gli elettroni. Queste formula sono utilizzate per analizzare il profilo spettrale ed angolare della radiazione, misurata ad una distanza di 20 m dell’ondulatore. L'eccellente qualità dell’ondulatore e l’influenza trascurabile che la divergenza del fascio ha sull’andamento dei parametri della radiazione sono confermate dal soddisfacente accordo fra le misure e le curve previste teoricamente.
Резюме
Теоретически и экспериментально исследуется излучение, возникающее в линейном ондуляторе, помещенном в прямой секции накопительного кольца ADONE. В частности, выводятся выражения для поля на конечном расстоянии, на основе комплексного интеграла Френеля. Выводятся некоторые выражения для средней интенсивности в зависимости от расходимости электронного пучка и разброса энергии. Полугенные формулы используются для анализа спектральных и угловых характеристик излучения, измеренных на расстоянии 20 м от ондулятора. Высокое качество ондулятора и пренебрежимо малое влияние расходимости электронного пучка подтверждается удовлетворитебьным согласием измеренного поля излучения, полученного с помощью комьютера.
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Work done in co-operation with the Accelerator Division of I.N.F.N. Adone Facility.
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Castellano, M., Cavallo, N., Cevenini, F. et al. Analytical and experimental analysis of the undulator radiation at finite distance as a function of the e-beam parameters. Nuov Cim B 81, 67–101 (1984). https://doi.org/10.1007/BF02721640
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DOI: https://doi.org/10.1007/BF02721640