时变尺寸的屏幕(屏幕中的孔)对波的波的衍射。运动边界的时变基尔霍夫积分表示
Diffraction of waves by screens (apertures in screens) with time-varying dimensions. Time-varying Kirchhoff's integral representation for moving boundaries
摘要:
本文研究了电磁波在时变尺度屏(屏中的孔)上的衍射。得到了这种情况下的广义矢量基尔霍夫表示。它还表明,与精度高达v/c<<1的数量级的条款,散射波和瞬时功率的表达式可以从一个固定的情况下,通过取代屏幕尺寸的时间相关的参数(例如,时间相关的半径)为屏幕尺寸的常数参数(例如,屏幕半径)出现在描述静止情况的公式中。
英文摘要:
The diffraction of electromagnetic waves by screens (apertures in screens) with time-varying dimensions is studied. The generalized vector Kirchhoff's representation for this case is obtained. It is also shown that with accuracy up to the terms of the order of v/c<<1, the expressions for the scattered wave and instantaneous power can be derived from the appropriate expressions for a stationary case by substituting the time-dependent parameters of the screen dimensions (e.g. time-dependent radius) for constant parameters of screen dimensions (e.g., the screen radius) appearing in the formulas describing the stationary case.
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