College Physics ›› 2017, Vol. 36 ›› Issue (6): 28-30.doi: 10.16854 /j.cnki.1000-0712.2017.06.008

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Application of Fermat's principle in ideal imaging at the spherical boundary for the object point outside the principal axis

WAN Jian-jie,ZOU Jia-bing   

  1. College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou,Gansu 730070,China
  • Received:2016-06-12 Revised:2016-11-04 Online:2017-06-20 Published:2017-06-20

Abstract: Fermat's principle is a basic one in the geometrical optics,which means that the actual trajectory in the space depends on the extremum of the optical path.Based on the Fermat's principle,a new method is proposed to get directly the equation for the practical optical path in reflections and refractions at spherical boundary for the object point outside the principal axis,and then the object-image formula is also derived in the condition of axial ray and axial object.

Key words: Fermat's principle, spherical reflection, spherical refraction