3 Newton' s rings牛顿环 equipment microscope A-a lens of radius of curvature r Ban accurately plane glass plate Interference pattern 半反 射镜 随着r的增加而变密!
3.Newton's rings 牛顿环 A—a lens of radius of curvature R equipment: B—an accurately plane glass plate A B Interference pattern: 半反 射镜 microscope r 随着r的增加而变密!
Quantitative analysis: Suppose n=1, from. R R 2en2+==k 2 k =(2k+1) 2 k 2e,+ 3kmax…(1) 2e,+ k (2k+1)/2 in(2)
k r R O R O’ Quantitative analysis: k e Suppose n=1, From: 2 (2 1) 2 2 2 ek n + = k + e n k k + = 2 2 2 { e k k + = 2 2 max…(1) { (2 1) / 2 2 2 ek + = k + min…(2) k r n=1
2ek+=k元max.(1) 由图: 3(2k+1)2/2mi{2) 2e,+ RR (R -ek=2Rek -ek k 2R 2Rek >>ek 代入(1)、(2)式: (2k-1)Rk=.1.2.3 明环 kRA k=0.1.2.3 暗环
k r k r R O R O’ k e e k k + = 2 2 max…(1) { (2 1) / 2 2 2 ek + = k + min…(2) 由图: 2 2 2 ( ) k k r = R − R − e 2 2Rek k = −e 2 2Rek k e R r e k k 2 2 = rk = { 2 (2k −1)R kR k = .1.2.3. k = 0.1.2.3. 明环 暗环 代入(1)、(2)式:
(2k-1)Rk=.123…0 明环 kRA BEEFR/R k=0.1.2.3 discuss 1)r=0, minimum: 2) distance of any two rings minimum) 1-n=√(k+)R=√kR =(V(k+1)-vk)√R 干涉级高的环间的间距小,即随 着r的增加条纹变密
discuss: 1)r=0,minimum; 2)distance of any two rings( minimum) rk+1 − rk = (k +1)R − k R = ( (k +1) − k ) R 干涉级高的环间的间距小,即随 着r的增加条纹变密. k r rk = { 2 (2k −1)R kR k = .1.2.3. k = 0.1.2.3. 明环 暗环 k r R O R O’ k e