Microwave-plasma undulator (MPU), as a standard short-period length undulator, is a desirable source of hard X-ray with continuous wide spectrum. In this article, the electron wiggling motion under the effect of transverse electric mode, propagating in cold plasma-filled waveguide, is investigated. The deflection parameter and period length of MPU in counter-propagating and co-propagating modes are calculated. Advantages of MPU over conventional and microwave undulators are investigated. It is shown that MPUs generate higher photon flux with overlapping harmonics compared to conventional standard undulators and cover wider energy range of synchrotron radiation. A rectangular MPU with period length of 2.98 mm and deflection parameter of 2.23 and a circular MPU with period length of 2.99 mm and deflection parameter of 2.23 are introduced. Also, a short variable period MPU, with the period length varying from 2.62 mm to 4.12 mm, and a helical MPU is introduced.

微波等离子体波荡器（MPU）作为一种标准的短周期长度波荡器，是一种理想的连续宽谱硬X射线源。在本文中，研究了在冷等离子体填充波导中传播的横向电模式作用下的电子摆动运动。计算了MPU在反向传播和同向传播模式下的偏转参数和周期长度。研究了 MPU 相对于传统和微波波荡器的优势。结果表明，与传统标准波荡器相比，MPU 可以产生更高的具有重叠谐波的光子通量，并且覆盖更广泛的同步加速器辐射能量范围。介绍了周期长度为2.98 mm、偏转参数为2.23的矩形MPU和周期长度为2.99 mm、偏转参数为2.23的圆形MPU。还，