It is possible to describe the propagation of a gaussian beam using diagrams based only on Euclidean geometry. All that is needed to solve problems is a ruler and a pair of compasses.
© 2002 Optical Society of America
Michael Spurr and Malcolm Dunn, "Euclidean Light: High-School Geometry to Solve Problems In Gaussian Beam Optics," Optics & Photonics News 13(8), 40-44 (2002)
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