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Effect of Harmonics Coherence in Resonant Transition Radiation

机译:谐波相干在共振跃迁辐射中的作用

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摘要

In the present work an essential difference is revealed between the undulator and transition radiation processes. In the first case emission of a photon occurs at a certain angle, while in the second case radiation takes place with equal probability in both dense and dilute parts of the medium and at various angles. These angles are different for different harmonics and their angular widths, which determine the frequency spectrum of radiation, do not depend on the harmonic number. The higher harmonic the wider the frequency ranges of emission. The weighting function of overlap of the harmonic spectra has a sharp peak in the soft range of frequencies. The peak increases and its width quadratic decreases depending on the electron energy. Therefore, the number of emitted soft photons does not depend on the energy and quadratic depends on the number of harmonics. A new physical phenomenon has been revealed: coherent emission of harmonics in the soft frequency range. Thus, it is possible to obtain intense beams of soft photons using high-current electron bunches.
机译:在本工作中,揭示了波荡器和过渡辐射过程之间的本质区别。在第一种情况下,光子的发射以一定角度发生,而在第二种情况下,辐射在介质的密集部分和稀薄部分均以相同的概率以及以各种角度发生。对于不同的谐波,这些角度是不同的,并且它们的角宽决定了辐射的频谱,而与谐波数无关。谐波越高,发射的频率范围越宽。谐波频谱重叠的加权函数在软频率范围内具有一个尖锐的峰值。取决于电子能量,该峰增加并且其宽度平方减小。因此,所发射的软光子的数量不取决于能量,二次方取决于谐波的数量。揭示了一种新的物理现象:软频率范围内谐波的相干发射。因此,可以使用大电流电子束获得强烈的软光子束。

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