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Titlebook: Lagrangian Optics; Vasudevan Lakshminarayanan,Ajoy K. Ghatak,K. Thyag Book 2002 Springer Science+Business Media New York 2002 adaptive opt

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ofthe optical wavelength tending to zero. Many features oflight propagation can be analyzed in terms ofrays,ofcourse, subtle effects near foci, caustics or turning points would need an analysis based on the wave natureoflight. Allofgeometric optics can be derived from Fermat‘s principle which is an
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Ray Paths in Bent Waveguides,ential to know the exact ray paths in bent waveguides and thereby know the exact positions of the ray caustics to calculate the bend loss. In this chapter, we present an analysis to find ray paths in bent slab waveguides.
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An Introduction to Lie Algebraic Treatment of Optical Aberrations, one were to go up to the 5th order, the size of the matrices are of the dimensions of 125 × 125 for any arbitrary conical surface. The size of the matrices can be reduced by the use of symmetries, but the method is still cumbersome.
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