1}ocrx才 A=√X2+Y2 (4 cos or+42 cos po2+(4 sin oi+4 sin o2 +244(cos or cos o+sin Por sin po2) =√A+A+2A4cos△0
2 2 2 2 1 I cA A = 2 2 A = X +Y ( ) ( ) 2 1 0 1 2 0 2 2 1 0 1 2 0 2 = A cos + A cos + A sin + A sin ( ) 1 2 01 02 01 02 2 2 2 1 = A + A + 2A A cos cos +sin sin = + + 2 1 2 cos 2 2 2 A1 A A A
won…gle a- )2πU 2x Cn n- =A0+0 n1-n2 △=nI-n22 △0=初位相差+ 2π×光程差
− − = − 1 1 01 2 2 02 c r c r 2 2 1 1 0 c r c r = + − 2 2 1 1 0 2 r r = + − 1 1 2 2 0 0 2 = + n r − n r n n n c c 2 2 = = 1 1 2 2 = n r −n r = 初位相差+ 光程差 0 2 n n n 0 =
亮点-→1x→A→>cosA0=+1 △0=±k.2元 k=0,1,2. 2πa4-n5)=2k7 (5-n5)=±k1 波程差=波长的整数倍 暗点点)1mn)A→cosA0=-1△0=±2k+1)z -n)--- -a)=±22k+ 波程差=半波长的奇数倍
cos 1 2 亮点→ I max → Amax → = + = k 2 k = 0,1,2 ( ) n r n r 2k 2 1 1 2 2 0 − = ( ) 1 1 2 2 0 n r − n r = k 波程差=波长的整数倍 cos 1 2 暗点点→ I min → Amin → = − = (2k +1) ( ) ( ) 2 1 2 1 1 2 2 0 n r − n r = k + ( ) (2 1) 2 0 n1 r1 − n2 r2 = k + 波程差=半波长的奇数倍
二、杨氏双缝干涉实验 S2 one two 3】 three
二、 杨氏双缝干涉实验
P S S2 D
δ r1 d 0P D S2 S1 r2 θ x