Wave Motion ( IF 2.4 ) Pub Date : 2021-05-24 , DOI: 10.1016/j.wavemoti.2021.102762 Ramazan Daşbaşı , Burak Polat
Scattering of electromagnetic plane waves normally incident on a flat perfect electric conductor strip in arbitrary rotational motion in its own plane is investigated in the context of Hertzian Electrodynamics. This canonical problem is an analytical-asymptotic approach that reveals the parametric dependence of interference of electromagnetic waves with rotating blades, a subject which is known as rotor blade modulation. Scattering by a stationary perfect electric conductor strip under TE and TM incidences stand as two sub-problems that are incorporated in the main formulation. These sub-problems are formulated by Wiener–Hopf Technique and solved using a spectral iteration method that converges rapidly in the solution of corresponding coupled dual Fredholm type integral equations in case of electrically wide strips. Numerical implementations that simulate electromagnetic scattering by helicopters blades and wind turbines are provided and discussed.
中文翻译:
转子叶片调制的解析方法
在赫兹电动力学的背景下,研究了通常以任意旋转运动在其自身平面上正常入射到平坦的完美导电带上的电磁平面波的散射。这个典型问题是一种解析渐近方法,它揭示了电磁波与旋转叶片干扰的参数依赖性,这一主题被称为转子叶片调制。在 TE 和 TM 入射下由静止的完美电导体条散射是两个子问题,它们包含在主要公式中。这些子问题由 Wiener-Hopf 技术制定,并使用谱迭代方法求解,该方法在电宽带的情况下在相应耦合对偶 Fredholm 型积分方程的解中快速收敛。