平面简谐波波函数中相位演变的“上下游”理解法  

Upstream and downstream Understanding Method of Phase Evolution in Planar Harmonic Wave Function

作　　者：李泽朋[1] 周青军[1] 魏通[1] 杜明润 Li Zepeng;Zhou Qingjun;Wei Tong;Du Mingrun(College of Science, Civil Aviation University of China,Tianjin 300300)

机构地区：[1]中国民航大学理学院

出　　处：《物理通报》2019年第8期14-17,共4页Physics Bulletin

摘　　要：平面简谐波波函数求解是普通物理教学中的重要知识点,对其理解和掌握为后续波的叠加、驻波以及波的干涉等知识学习奠定基础.提出学习平面简谐波波函数时相位演变的“相位河”“上下游”理解法,将任意点与已知振动函数的参考点间相位差别形象化为“相位河上下游”关系.若任意点的振动早于参考点,则等效其位于参考点的“上游”,其相位应大于参考点相位;若任意点的振动晚于参考点,则等效其位于参考点的“下游”,相位应小于参考点相位.“相位河上下游”法可形象化理解波传播时的相位演变,亦可弱化波传播方向在求解波函数过程中的影响,因此可方便快捷地求解平面简谐波波函数.The solution of plane harmonic wave function is an important knowledge point in general physics teaching. And the corresponding understanding lays the foundation for subsequent learning wave superposition, standing wave and wave interference. In this paper, the equivalent "upstream and downstream" of "phase river"method is introduced to understand the phase change in the plane harmonic wave function and this visualize the phase relationship between arbitrary point and reference point as "upstream and downstream". If the vibration at any point is earlier than the reference point, the any point is equivalent to the "upstream", and its phase should be larger than that of the reference point;if the vibration is later than the reference point, the any point is equivalent to the "downstream", and its phase should less than the reference point. The equivalent "upper and lower reaches" of "phase river" method would make it visualized in understanding phase wave propagation evolution, and weaken the influence of wave propagation direction in the solution of the wave function in the process. Thus, this can help solve the plane harmonic wave function easily.

关 键 词：平面简谐波波函数 相位河 上下游 

分 类 号：G642[文化科学—高等教育学] O4-4[文化科学—教育学]