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由于波的周期性,再加上质点的振动方向或波的传播方向的不确定、波的传播时间或距离的不确定等,在求解这类问题时,常常出现多解现象,如果在解题中不能透彻全面地分析题意,就会造成解答不完全,或者用特解代替通解的现象.现结合几个典型例题进行归类分析. 1.质点振动方向的不确定导致的多解波在介质中传播时,介质中各质点的振动情况依据波的传播方向是可以确定的,反之亦然.如果仅知道质点的所在位置,而不知道其振动方向时,就会出现
Due to the periodicity of the wave, coupled with the uncertainty of the vibration direction of the particle or the propagation direction of the wave, the propagation time of the wave, or the uncertainty of the distance, multiple solutions are often encountered when solving such problems. Incomplete and comprehensive analysis of problem meanings will result in incomplete solutions or the use of special solutions instead of the general solutions. Now we combine some typical examples for classification analysis. 1. The multi-solution wave caused by the uncertainty of the particle vibration direction is When the medium propagates, the vibration of each particle in the medium can be determined according to the propagation direction of the wave, and vice versa. If only the position of the particle is known without knowing the vibration direction, it will appear.