Comparison between different methods for the ray tracing of real optical systems in undergraduate courses

In this paper, we approach different ways to use optical transformation matrices, or ABCD matrices, and optical simulations as tools for teaching geometrical optics. The work presented here ranges from simple situations, such as perfect flat lenses, to more complex situations, such as optical systems in media with different refractive indices. These examples can be easily solved with the use of optical matrices, a powerful tool, yet not widespread in undergraduate physics courses in the country. We will compare results from the classical equations for thin lenses and the matrix method with the results obtained through simulation with the freeware software OSLO EDU to show the power of the matrix method. With this proposal, the teacher will have new ways of approaching the problem and will facilitate both his didactics and student learning in the classroom or optical laboratories. Approaching geometrical optics in a different way will also enable real-world applications and the introduction of optical simulation software in the classroom.

Keywords:
Transfer-matrix method; geometrical optics; ray tracing simulation