Abstract
Geometrical Optics is one of the oldest of the physical sciences, but still remains the most effective approach for explaining a good part of the most common optical phenomena. It is particularly useful for tracing the propagation of light in inhomogeneous media and for describing or designing optical instruments. The emphasis of this discipline is to find the path of light rays, imagined as geometric lines along which energy flows.
All what we see,
it is seen in a rectilinear direction.
Pseudo-Eukleidēs, Catoptrics, 2nd postulate
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Bibliographical references
Arnaud J.A., Nonorthogonal optical waveguides and resonators, The Bell Systems Technical Journal 49, 2311-2348 (November 1970).
Bennett G.G., The Calculation of Astronomical Refraction in Marine Navigation, Journal of Navigation 35, 255-259 (1982).
Born M. and Wolf E., Principles of Optics, Pergamon Press, Paris (1980).
Burkhard D.G. and Shealy D.L., Simplified formula for the illuminance in an optical system, Applied Optics 20, 897-909 (1981).
Carathéodory C., Der Zusammenhang der Theorie der absoluten optischen Instrumente miteinem Satze der Variationsrechnung, Sitzungsberichte d. Bayer. Akademie d. Wissenschaften. Math.-naturwiss. Abt. (1926).
Ciddor P.E., Refractive index of air: new equations for the visible and near infrared, Applied Optics 35, 1566-1573 (1996).
Collins Stuart A. Jr., Lens-system diffraction integral written in terms of matrix optics, J. Opt. Soc. Am. 60, 1168-1177 (September 1970).
Davidson M.W., Introduction to Microscope Objectives, Nikon Instruments Inc. (2016), https://www.microscopyu.com/microscopy-basics/introduction-to-microscopeobjectives
do Carmo M., Differential geometry of curves and surfaces, Prentice Hall, New York (1976).
Edlén B., The refractive index of air, Metrologia 2, 71-80 (1966).
Feder D.P., Optical calculations with Automatic Computing Machinery, J. Opt. Soc. Am. 41, 630-634 (1951). Automatic optical design, Appl. Optics 2, 1209-1226 (1963). Differentiation of ray-tracing equations with respect to construction parameters of rotationally symmetric optics, J. Opt. Soc. Am. 58, 1494-1495 (1968).
Fermi E., Termodinamica, Boringhieri ed. Torino (1972).
Fowles G.R., Introduction to Modern Optics, Holt, Rinehart, and Winston, New York (1968).
Gerard A. and Burch J.M., Introduction to Matrix Method in Optics, John Wiley & Sons, New York (1968).
Giotti G., Lezioni di ottica geometrica, Zanichelli ed., Bologna (1931).
Greco V. and Giusfredi G., Reflection and refraction of narrow Gaussian beams with general astigmatism at tilted optical surfaces: a derivation oriented toward lens design, Applied Optics 46, 513-521 (2007).
Guenther R., Modern Optics, John Wiley & Sons, New York (1990).
Gullstrand A., Die reelle optische Abbildung, Sv. Vetensk. Handl., 41, 1-119 (1906).
Hecht E., Optics, 2nd ed., Addison-Wesley, Madrid (1987).
Herzberger M., Modern Geometrical Optics, Interscience Publisher Inc., New York (1958).
Iizuka K., Engineering Optics, Springer-Verlag, Berlin (1987).
Jenkins F.A. and White H.E., Fundamental of Optics, McGraw-Hill, New York (1957).
Kingslake R., Who discovered Coddington’s equations?, Optics & Photonics News 5, 20-23 (1994).
Kline M. and Kay I.W., Electromagnetic theory and geometrical optics, Wiley Interscience, New York (1965).
Landsberg G.S., Ottica, MIR, Mosca (1979).
Luneburg R.K., Mathematical theory of optics, Univ. of California Press, Berkeley (1964). Propagation of electromagnetic waves, mimeographed lecture notes, New York University (1947-1948).
Maxwell J. Clerk., On the Elementary Theory of Optical Instruments, Phil. Mag. 12, 402-403 (1856). On the General Laws of Optical Instruments, Quart. J. Pure Appl. Maths. 2, 233-246 (1858).
Martin L.C., Geometrical Optics, Sir Isaac Pitman & Sons, London (1955).
Möller K.D., Optics, University Science Book, Mill Valley (1988).
Néda Z. and Volkán S., Flatness of the setting sun, arXiv:physics/0204060 v1, 19 (Apr 2002).
Nussbaum A., Geometric Optics, Addison-Wesley, Menlo Park CA (1968).
O’Shea D.C., Elements of Modern Optical Design, John Wiley & Sons, New York (1985).
Pauli W., Pauli lectures on physics, Vol. 2, Optics and the theory of electrons, C.P. Enz ed., The MIT Press, Cambridge (1973).
Shamir J., Optical Systems and Processes, SPIE Optical Engineering Press, Bellingam (1999).
Shealy D.L., Analytical illuminance and caustic surface calculations in geometrical optics, Applied Optics 15, 2588-2596 (1976).
Sivoukhine D., Optique, MIR, Mosca (1984).
Solimeno S., Crosignani B., Di Porto P., Guiding, Diffraction, and Confinement of Optical Radiation, Academic Press, inc., Orlando (1986).
Sommerfeld A., Optics, Academic Press, New York (1949).
Sommerfeld A. and Runge J., Anwendung der Vektorrechnung auf die Grundlagen der geometrischen Optik, Ann. d. Physik 340, 277-298 (1911).
Spencer G.H. and Murty M.V.R.K., General ray-tracing procedure, J. Opt. Soc. Am. 52, 672 (1962).
Stavroudis O.N., The optics of rays, wavefronts, and caustics, Academic Press, New York (1972).
Welford W.T., Aberrations of the Symmetrical Optical System, Academic Press, London, (1974).
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Giusfredi, G. (2019). Geometrical Optics. In: Physical Optics. UNITEXT for Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-25279-3_2
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