等厚干涉实验数据处理

1. 利用牛顿环测量平凸透镜曲面的曲率半径（\(钠光灯波长\lambda = 589.3nm\)）

圈数号（k）	标尺读数		d_(右)-d_(左)/mm	直径平方/mm²	隔6圈的平方数之差/mm²	R/m	\(\overline{R}\)/m
	d_(右)/mm	d_(左)/mm
12	20.987	27.322	-6.335	40.13	14.70	1.039	1.058
11	21.080	27.223	-6.143	37.74	14.79	1.046
10	21.181	27.119	-5.938	35.26	14.81	1.047
9	21.288	27.010	-5.722	32.74	15.00	1.061
8	21.390	26.891	-5.501	30.26	15.15	1.071
7	21.512	26.790	-5.278	27.86	15.33	1.084
6	21.628	26.671	-5.043	25.43
5	21.760	26.550	-4.790	22.94
4	21.899	26.421	-4.522	20.45
3	22.060	26.272	-4.212	17.74
2	22.219	26.106	-3.887	15.11
1	22.400	25.940	-3.540	12.53

\[由\ R = \frac{{d_{m}}^{2} - {d_{n}}^{2}}{4(m - n)\lambda}\ ，\overline{R} = \frac{\sum_{}^{}R_{i}}{6} = 1.058m，u_{A} = \sqrt{\frac{1}{5 \ast 6}\sum_{i = 1}^{6}{({D_{i}}^{2} - \overline{{D_{k}}^{2}})}^{2}} = 0.0983{mm}^{2} $$$$u_{B} = \frac{\Delta 仪}{\sqrt{3}} = \frac{0.004}{\sqrt{3}} = 0.0023{mm}^{2}，u_{D} = \sqrt{{u_{A}}^{2} + {u_{B}}^{2}} = 0.0983{mm}^{2} $$$$u_{R} = \frac{u_{D}}{4 \ast 6\lambda} = 0.00695m，R = (1.058 \pm 0.0069)\ m\]

2. 利用劈尖测量薄片厚度（\(钠光灯波长\lambda = 589.3nm，\)L=42.351mm）

标尺读数/mm	标尺读数/mm	s_(x+10)-s_(x)/mm	e/mm
s1=43.769	s11=39.927	-3.842	3.501×10⁻²
s2=43.331	s12=39.559	-3.772
s3=42.931	s13=39.238	-3.693
s4=42.522	s14=38.921	-3.601
s5=42.137	s15=38.554	-3.583
s6=41.713	s16=38.220	-3.493
s7=41.373	s17=37.893	-3.48
s8=40.996	s18=37.570	-3.426
s9=40.662	s19=37.250	-3.412
s10=40.289	s20=36.945	-3.344

\[e = \frac{50L \ast \lambda}{\sum_{}^{}{(s_{10 + x} - s_{x})}} = 3.501 \ast 10^{- 2}mm,u_{\Delta s\ A} = \sqrt{\frac{1}{9 \ast 10}\sum_{i = 1}^{10}{({{\Delta s}_{i}}^{2} - \overline{{{\Delta s}_{k}}^{2}})}^{2}} = 0.052mm $$$$u_{\Delta s\ B} = \frac{\Delta 仪}{\sqrt{3}} = 0.0023{mm}^{2}，\ u_{\Delta s} = \sqrt{{u_{A}}^{2} + {u_{B}}^{2}} = 0.052mm，u_{e} = e\sqrt{\frac{u_{\Delta s}}{\Delta s}} = 0.1208 \ast 10^{- 2} $$$$e = (3.501 \pm 0.1208) \ast 10^{- 2}\ mm\]