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桂林电子科技大学2018考研真题818物理光学

新祥旭徐老师 / 2019-04-10

 

一. 填空题(每空3分,共30分)

1.像方焦距为物距是     (1)        时对应的像距。 

2.某人需佩戴屈光度为-6D的眼镜方能矫正其视力,则此人是  (2)   (选填近视眼、远视眼),不佩戴眼镜时最远能看清眼前  (3)   米的物体。

3.两束光的相干条件为   (4)    、振动方向不垂直、恒定的相位差。

4.一束光波从光疏介质向光密介质接近正入射或掠入射时,其反射光相对于入射光的振动相位发生了的突变,此现象称为   (5)   

5. 牛顿环中的干涉是  (6)  的,菲涅耳双面镜干涉是   (7)   的。(选填定域、非定域)

6. 弗朗禾费衍射实验装置中通常需要满足__(8)__这两个距离的无穷大

7. 闪耀光栅的结构旨在把  (9)   (10)  的方向分离。

 

二. 单项选择题(每题5分,共30分)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          

1. 关于理想光学系统的物像关系,以下说法错误的是:(  )

A. 位于物方H平面上的物,一定得到等高同向的像;B.物方焦点和像方焦点是共轭的;

C.以从左往右为正方向的光路中,虚物一定在光组右边;

D. 若物高为正,中间像高为负,最终像高又为负,则最终像相对于物为倒立像

2. 关于干涉与衍射,以下说法正确的是:(  )

  A.干涉现象是光矢量的叠加造成的,衍射现象则是光强叠加造成的;

B.衍射现象直接决定了光学系统的极限分辨率;

C.双缝干涉与衍射都需要相应的缝宽为无限小;

D.双缝干涉实验中若将双缝改为双孔,则干涉图样变为同心圆环。

3. 关于衍射理论的发展,以下说法错误的是:(  )

  A.惠更斯原理很好的解释了衍射图样的亮暗分布;

  B.菲涅尔提出了无穷多个次波源相干叠加的理论;

  C.基尔霍夫引入了格林定理和边界条件,使精确求解被观察点的光场分布成为可能;

  D.夫琅禾费衍射比菲涅尔衍射要求更严苛。

4. 关于牛顿环干涉装置中,以下说法正确的是:(  )

A.是等倾干涉,干涉条纹为同心圆环;

B.反射光方向观察,中心为亮圆斑;

C.以底座及其上的平凸透镜之间夹着的空气层作为干涉的实际分振幅装置;

D.以底座的平板玻璃作为干涉的实际分振幅装置。

5. 关于光学系统中的各种光阑,以下说法正确的是:(  )

A. 孔径光阑通常放置在系统的中间实像处;

B. 视场光阑可以用于无焦系统;

C. 渐晕光阑需专门设置为一个开孔屏;

D. 孔径光阑不一定是系统中口径最小的光阑。

6. 关于晶体光学器件,以下说法错误的是(  ):

A. 玻片既改变入射光的偏振态,也改变其光强;

B. 玻片只能产生固定的相位差以补偿前级光路中的相位差;

C.巴俾涅补偿器只能对较细的入射光束进行补偿;

D.对于1.061/4玻片,用于0.53,则是半波片

 

三. 计算题(共90分)

1. 有一个在空气中光焦度为-8D的透镜对高度为25mm、距离透镜25mm的虚物成像,试分别用牛顿公式、高斯公式和作图法求解其像的大小与位置(要求有详细位置的描述)。(本题20分)

 

2. 若一显微系统由3个焦距分别为的透镜组成,已知前两个透镜构成物镜,间隔为,第三个透镜作为目镜, 距离第二个透镜。设系统处于空气中,试求:(本题20分)

(1) 该物镜的像方焦距是多少,像方基点位置在哪儿(须有明确的文字或光路图描述);

(2) 整个显微系统的像方焦距和放大倍率各是多少?

 

3. 在迈克尔逊干涉仪中,当数得干涉条纹向内缩入了800条时,与固定镜M2垂直放置的动镜M1移动距离为0.234mm,试求入射光的光波长;若继续在干涉仪的一个臂中引入100mm长、充满标准空气的玻璃管,之后逐渐将管内抽成真空,发现有100条条纹移动,求空气的折射率。(本题10分)

 

4.  双缝间距为1mm,离观察屏1m,用钠光灯做光源,它发出两种波长的单色光,试求:(本题10分)

(1) 这两种单色光的第5级亮条纹之间的间距是多少;

(2) 若双缝间距增加到2mm,则上述第5级亮纹之间的间距又是多少?

 

5. 用波长的点光源粗测一单缝的缝宽。若观察屏上衍射条纹左右两个5级极小的距离是6.3cm,观察屏与缝的距离是5m。试问:(本题15分)

(1)缝宽是多少;

(2)假如光源改为一线光源,则衍射条纹有何变化,对缝宽测量是否有影响,为什么?

 

6. 用波长为500nm的平行光垂直照射一块衍射光栅上,观察发现有两个相邻的主极大分别出现在衍射角约为11.54゜和17.45゜的方向上,且第4级缺级,试求:(本题15分)

  (1)光栅常数与缝宽;

  (2)上述两个主极大的级次;

  (3)若以描述光栅的角色散能力,则此光栅在上述两个主极大的角色散是多少?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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