Experimental conditions of the minimum deflection angle of a general prism
Based on the extreme value method and derivative property in mathematical analysis,the conditions for the minimum deflection angle of a general triangular prism are studied and derived,and the relationship between the conditions corresponding to the minimum deflection angle and the incidence angle,refractive index and the top angle of the prism is clearly explained.The relation curve is obtained by using Matlab.The size of the incident angle,the minimum angle of deflection and the second derivative corresponding to the first derivative of 0 are obtained from the curve.At the same time,the angle of deflection corresponding to the minimum incident angle and the maximum vertex angle of the prism corresponding to the refractive index are given.The ray trace under given conditions is accurately drawn by Visio,and the relationship between deflection angle and relevant conditions is obtained from the trace diagram.The research results show that the incident angle corresponding to the minimum deflection angle is related to the top angle and refractive index of the prism,which provides a theoretical basis for selecting the top angle and refractive index parameters of the prism to obtain the deflection angle and the minimum deflection angle defined in the literature in experiments or research,solves the theoretical analysis confusion of the minimum deflection angle condition in the teaching and learning process.
general prismdeflection angleminimum deflection angleminimum incidence anglemaximum vertex angle
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