文章摘要
张勇,牟朝霞,刘存海,柳叶.杨氏双缝干涉光程差近似计算的弱化条件分析[J].,2020,35(4):345-348
杨氏双缝干涉光程差近似计算的弱化条件分析
Analysis of Weakening Condition for Approximate Calculation of Optical Path Difference in Young’s Double Slit Interference
  
DOI:10.7682/j.issn.1673-1522.2020.04.010
中文关键词: 杨氏双缝干涉  光程差  条纹位置
英文关键词: Young’s double slit interference  optical path difference  fringe position
基金项目:
作者单位
张勇 山西农业大学信息学院,山西晋中 030800 
牟朝霞 海军航空大学,山东烟台 264001 
刘存海 海军航空大学,山东烟台 264001 
柳叶 海军航空大学,山东烟台 264001 
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中文摘要:
      利用平面几何勾股定理,推导出杨氏双缝干涉实验光程差的准确表达式,对光程差表达式进行同解变换,反演了明纹中心坐标与光程差的函数关系,并对明纹中心坐标表达式进行了分析讨论,给出了数值解,得出了 5点结论。结论表明,杨氏双缝干涉实验光程差近似计算的条件可弱化为光程差远小于双缝间距,且利用经典近似方法计算明纹中心坐标在干涉级次较大时误差较大。
英文摘要:
      Based on the Pythagorean theorem of plane geometry, the exact expression of the optical path difference of Young’s double slit interference is derived, and the expression of the optical path difference is transformed with the samesolution, and the functional relationship between the center coordinates of the fringe and the optical path difference is in?versed. The expression of the center coordinate of the fringe is analyzed and discussed, the numerical solution is given, andfive conclusions are obtained. The results show that the condition for approximately calculating of the Young’s double slit interference can be weakened as that the optical path difference is much less than the distance between two slits, and theerror of calculating the center coordinate of the fringe is greater when the interference order is larger by using the classicalapproximate method.
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