ABCD matrix for reflection and refraction of laser beam at tilted concave and convex elliptic paraboloid interfaces and studying laser beam reflection from a tilted concave parabola of revolution

Mansour Abadi, M.; Ghassemlooy, Z.; Smith, D.; Pang Ng, W.

doi:10.22061/jecei.2015.338

Document Type : Original Research Paper

Authors

¹ Optical Communications Research Group (NCRLab), Northumbria University, NE1 8ST, UK

² Microwave Imaging Research Group, Northumbria University, NE1 8ST, UK

https://doi.org/10.22061/jecei.2015.338

Abstract

Studying Gaussian beam is a method to investigate laser beam propagation and ABCD matrix is a fast and simple method to simulate Gaussian beam propagation in different mediums. Of the ABCD matrices studied so far, reflection and refraction matrices at various surfaces have attracted a lot of researches. However in previous work the incident beam and the principle axis of surface are in parallel. As an extension to those investigations, a general scheme that the incident beam is oblique is discussed here and the full analysis of the reflection and refraction of a Gaussian beam at the surface of a tilted concave/convex elliptic paraboloid surface is addressed. Based on the optical phase matching, analytic mathematical equations are derived for the spot size and the wavefront radius of a beam. Expressions are converted into the ABCD matrices, which are more convenient and practical to use. Finally, a practical case is analyzed by applying the obtained formulas. This analysis is important since paraboloid surfaces in optics or terahertz waves are used as mirrors or lenses.

Keywords

20.1001.1.23223952.2015.3.1.1.5

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Journal of Electrical and Computer Engineering Innovations (JECEI)

ABCD matrix for reflection and refraction of laser beam at tilted concave and convex elliptic paraboloid interfaces and studying laser beam reflection from a tilted concave parabola of revolution

References

References

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Volume 3, Issue 1 - Serial Number 5
January 2015
Pages 1-11

ABCD matrix for reflection and refraction of laser beam at tilted concave and convex elliptic paraboloid interfaces and studying laser beam reflection from a tilted concave parabola of revolution

References

References

Send comment about this article

Volume 3, Issue 1 - Serial Number 5January 2015Pages 1-11

Volume 3, Issue 1 - Serial Number 5
January 2015
Pages 1-11