讨论二:k = 0,±1,±2,..P2 -1 = (2k +1)元A=| A, - A2 I当A, = A,时,A=0称为干涉相消讨论三:一般情况:P2 -Pi ± kπA, -A2<A<A +A2IA-
6 讨论二: | | A = A1 − A2 当 A1 = A2 时, A = 0 称为干涉相消。 A2 A A1 讨论三: A1 A2 A 2 − 1 = (2k + 1) k = 0,1,2, | | | | A1 − A2 A A1 + A2 2 − 1 k 一般情况:
例:N个同方向、同频率的谐振动,振幅相等、相位依次相差,求合振动的振幅与相位。解:用多边形法则求合矢量xi=acos@t作垂线和径线x2=acos(0t+8)O在△0CMM4x3=acos(@t+2S)NSA=2Rsinx4=acos(t+3S)usx5=acos(@t+4s)48在△COD---.aa4R=2sin8/238(2)式代入(1式aasa3a3sinNS/22oA=aa2a2sin / 2iai福DP
7
解:用多边形法则求合矢量sinNS/2作垂线和径线二:(3)Msin $/ 2求初相@=ZCOP-ZCOMfd元-8元-NSa4238N-1)S... (4)a38a2(N-1)sinNS/2810cos [t +02sin S/2D'P
8