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ABCD Matrix for Reflection and Refraction of Gaussian Beams on the Interface of an Elliptic Paraboloid

  • Yanzhong Yu
  • Wenbin Dou
Article

Abstract

Paraboloid form is a commonly used element in optical or quasioptical systems. It is necessary to calculate the reflection and/or refraction of Gaussian beams at the surface of a paraboloid. Based on boundary-value relation in electromagnetic field, the expressions are derived for reflection and refraction of Gaussian beams on the interface of an elliptic paraboloid that divides media of different refractive indices. We extend the analysis to an arbitrary angle of incidence, and convert the obtained results to ABCD ray matrix form. By using these matrices, one can easily design and calculate some actual optical or quasioptical systems, including components with paraboloidal interfaces.

Keywords

Elliptic paraboloid Gaussian beam Reflection Refraction 

Notes

Acknowledgements

This work is supported by State Key Lab of Millimeter Waves (No. K201014), and NSFC under grant 60921063.

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.School of Physics & Information EngineeringQuanzhou Normal UniversityQuanzhouChina
  2. 2.State Key Lab of Millimeter WavesSoutheast UniversityNanjingChina

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