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WAVE OPTICS AND GEOMETRICAL OPTICS
3 Differential equations for E and H 1214
General conditions for discontinuities 1820
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angle angular characteristic arbitrary aspheric surface axes axis boundary values canonical equations coefficients conjugate planes conjugate points constant coordinates curl H curve derivatives determine discontinuous electromagnetic field expression Fermat's principle field ray Figure focal follows formulae function Gaussian optics geometrical optics given grad ip Hence homogeneous image plane image space index of refraction integral intersection introduce Legendre transformation lens Let us assume Let us consider light ray linear manifold Maxwell's equations medium normal object plane obtain optical instrument optical length optical path parameter paraxial ray partial differential equations plane z0 point x,y,z points P0 polynomial quantities radius refracting surface refractive index relations represent result scalar set of wave Snell's law solution sphere spherical aberration spherical surface spherical wave surface of revolution symmetrical third order transformation unit vector variables z-axis zero