Relevant bibliographies by topics / Optics, Geometrical

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Optics, Geometrical'

Author: Grafiati
Published: 4 June 2021
Last updated: 4 March 2023

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Journal articles on the topic "Optics, Geometrical"

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Freeman, M. H. "Geometrical optics." Optics & Laser Technology 18, no. 6 (December 1986): 324. http://dx.doi.org/10.1016/0030-3992(86)90060-5.

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Hillion, P. "Spacetime geometrical optics." Pure and Applied Optics: Journal of the European Optical Society Part A 2, no. 6 (November 1993): 615–28. http://dx.doi.org/10.1088/0963-9659/2/6/007.

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Médina, José. "Hobbes’s Geometrical Optics." Hobbes Studies 29, no. 1 (April 25, 2016): 39–65. http://dx.doi.org/10.1163/18750257-02901003.

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Since Euclid, optics has been considered a geometrical science, which Aristotle defines as a “mixed” mathematical science. Hobbes follows this tradition and clearly places optics among physical sciences. However, modern scholars point to a confusion between geometry and physics and do not seem to agree about the way Hobbes mixes both sciences. In this paper, I return to this alleged confusion and intend to emphasize the peculiarity of Hobbes’s geometrical optics. This paper suggests that Hobbes’s conception of geometrical optics, as a mixed mathematical science, greatly differs from Descartes’s one, mainly because they do not share the same “mechanical conception of nature.” I will argue that Hobbes and Descartes also have in common the quest for a different kind of geometry for their optics, different from that of the Ancients. I will show that this departure is not recent since Hobbes’s approach is already evident in 1636, when he judges the demonstrations of his contemporary friends, Claude Mydorge and Walter Warner. Finally the paper broadly suggests what is noteworthy in Hobbes’s optics, that is, the importance of the idea of force in his mechanics, although he was not able to conceptualize it in other terms than “quickness.”
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Miron, Radu, and Tomoaki Kawaguchi. "Relativistic geometrical optics." International Journal of Theoretical Physics 30, no. 11 (November 1991): 1521–43. http://dx.doi.org/10.1007/bf00675616.

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Wyrowski, Frank, and Christian Hellmann. "Geometrical Optics Reloaded." Optik & Photonik 10, no. 5 (December 2015): 43–47. http://dx.doi.org/10.1002/opph.201500036.

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Sieradzan, Andrzej. "Teaching geometrical optics with the ‘‘optic mirage’’." Physics Teacher 28, no. 8 (November 1990): 534–36. http://dx.doi.org/10.1119/1.2343139.

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Rabin, Jeff. "Geometrical and Visual Optics." Optometry and Vision Science 90, no. 12 (December 2013): e306. http://dx.doi.org/10.1097/opx.0000000000000146.

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Philbin, T. G. "Making geometrical optics exact." Journal of Modern Optics 61, no. 7 (March 17, 2014): 552–57. http://dx.doi.org/10.1080/09500340.2014.899646.

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Chou, B. Ralph. "THE GEOMETRICAL OPTICS WORKBOOK." Optometry and Vision Science 71, no. 1 (January 1994): 64. http://dx.doi.org/10.1097/00006324-199401000-00015.

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Jullien, Remi, and Robert Botet. "Geometrical optics in fractals." Physica D: Nonlinear Phenomena 38, no. 1-3 (September 1989): 208–12. http://dx.doi.org/10.1016/0167-2789(89)90193-0.

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Dissertations / Theses on the topic "Optics, Geometrical"

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Gauvin, Alain. "Geometrical distortion of magnetic resonance images." Thesis, McGill University, 1992. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=60675.

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The problem of geometrical distortion in MR images is addressed in the context of the applicability of stereotactic techniques. For this purpose, the distortion of phantom images is measured at various readout bandwidths and the spatial linearity is evaluated in view of the use of a stereotactic frame. The presence of a contribution to the overall distortion of non-linear magnetic gradients is shown from the data, although the distortion observed seems to be mostly attributable to the main field inhomogeneity. The specific problems of distortion of the fiducial markers due to bulk magnetic susceptibility effects is addressed. The occurrence of such effects is characterized with the help of imaging, and the role of the phenomenon on proper target localization is demonstrated. In addition, a method of bypassing the detrimental aspect of these effects is presented.
Various distortion correction approaches are discussed, and their benefits and drawbacks are evaluated. In the light of this discussion, a recently reported correction method is then presented. This method allows the calculation of an image free from geometrical and intensity distortion from the combined effect of main field inhomogeneity, susceptibility effects and chemical shift.
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Van, Brunt Bruce. "Functional differential equations and lens design in geometrical optics." Thesis, University of Oxford, 1989. http://ora.ox.ac.uk/objects/uuid:d56090fc-b360-492b-9bd9-c6f36c30db86.

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The subject of this thesis is lens design using a system of functional differential equations arising from Fermat's Principle in geometrical optics. The emphasis is primarily on existence, uniqueness, and analyticity, properties of solutions to these equations, but some asymptotic methods are developed for special cases. Three specific lens problems are considered in detail: the first is an axial lens having two pairs of foci on the optical axis, the second is an axial lens which focuses light at two different frequencies to two distinct points, the third is a lens symmetric about an axis having foci not on said axis.
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Abbas, Syed A. (Syed Aun) Carleton University Dissertation Engineering Systems and Computer. "Microcellular mobile radio channel simulation: a geometrical optics approach." Ottawa, 1993.

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Wosilait, Karen. "Research as a guide for the development of tutorials to improve student understanding of geometrical and physical optics /." Thesis, Connect to this title online; UW restricted, 1996. http://hdl.handle.net/1773/9652.

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Rakich, Andrew. "Simple four-mirror anastigmatic systems with at least one infinite conjugate." Thesis, University of Canterbury. Physics and Astronomy, 2007. http://hdl.handle.net/10092/1463.

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This thesis describes an analytical approach to the optical design of four-mirror anastigmatic optical systems. In all cases investigated here the object is at infinity. In the introduction the field of reflecting, or "catoptric", optical system design is discussed and given some historical context. The concept of the "simplest possible reflecting anastigmat" is raised in connection with Plate Diagram analysis. It is shown that four-plate systems are in general the simplest possible anastigmats, and that four-plate systems comprised of four spherical mirrors are the last family of "simplest possible reflecting anastigmats" for which the complete solution set remains unknown. In chapter 2 third-order aberration coefficients in wavefront measure are derived in a form that is particularly suitable for Plate Diagram analysis. These coefficients are subsequently used to describe the Plate Diagram, and to detail the application of the Plate Diagram to the survey of all possible solutions for four-spherical-mirror anastigmats. The Plate Diagram technique is also generalized to investigate its use as an optical design tool. In the example given a generalized Plate Diagram approach is used to determine solutions for four-mirror anastigmats with a prescribed first-order layout and a minimum number of conicoids. In chapter 3 results are presented for the survey of four-spherical-mirror anastigmats in which all elements are required to be smaller than the primary mirror. Two novel families of four-spherical-mirror anastigmats are presented and these are shown to be the only examples of four-spherical-mirror systems that exist under the given constraints. Chapter 4 gives an example of the application of Plate Diagram analysis to the design of an anastigmatic system with a useful first-order layout and a minimum number of conicoid mirrors. It is shown that systems with useful first-order layouts and only one conicoid mirror can be obtained using this method. In chapter 5 results are presented of the survey of all remaining four-spherical-mirror anastigmatic systems: that is systems in which elements are allowed to exceed the diameter of the entrance pupil, which includes systems with concave and convex primary mirrors. A wide variety of solutions are presented and classified according to both the underlying geometry of the solutions and the first-order layouts. Of these systems only one has been reported in previously published literature. The results presented in this thesis complete the set of "four-plate" reflecting anastigmats, and it can now be said that all possible solutions for four-spherical-mirror anastigmatic systems have been determined.
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Sullivan, Christopher Charles. "The application of biquaternion analysis to the transformation of the electromagnetic field and geometrical optics." Thesis, University of Surrey, 1993. http://epubs.surrey.ac.uk/810773/.

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The addition of the laws of reflection and refraction to basic Euclidean geometry gives rise to an optical geometry which extends into non-Euclidean spaces with the inclusion of non-uniform, isotropic media, for which the ray paths are curved. Transformation theorems arise which are stranger than can be expected from the mere addition of the laws of optics to ordinary geometry. A common characteristic of these transformations is their dependence on the concept of geometrical inversion; such inversions have otherwise been largely ignored in theoretical physics. Given that the geometrical optic field is the infinite frequency approximation of the exact electromagnetic field representation, it is anticipated that any transformations which apply to a geometrical optic system should also apply to the equivalent electromagnetic field system. The work of this thesis introduces the effects of transformations arising from geometrical optics by considering the effects of conformal transformation of the underling electromagnetic field. The geometrical optic transformations to be considered include, among others, Budden's and Bateman's inversion theorems and an inversion theorem applicable within a spherically symmetrical medium. The approach adopted is to proceed in the same manner as in the analogous two dimensional electrostatic/hydrodynamic case, where the conformal properties of complex variable theory are exploited. This approach anticipates that a similar process applies to the four dimensional case of electromagnetism through the use of functions of a hypercomplex variable. These arise in the form originally discovered by Hamilton as quaternion variables, which have been extended in this work through the inclusion of complex i to biquaternion variables. It is also demonstrated that biquaternion variables possess holomorphic properties which are highly relevant to the representation of the electromagnetic field, so that the complete set of Maxwell's electromagnetic field equations can be formulated algebraically and without reference to any physical entities. Most importantly, it is shown how the required transformations of the electromagnetic field arise immediately from biquaternion similarity transformations. Functions of a biquaternion variable are studied in much the same manner as functions of a complex variable. The work of this thesis investigates and makes extensive use of such biquaternion functions. It is necessary then to be able to generate such biquaternion functions. The generation of such functions is based on a technique attributable to Fueter who, for the case of quaternions, defined a generating function which produces a series of polynomials, commonly referred to as Fueter Polynomials. This technique has been extended to biquaternion in this work. The biquaternions used are also descriptive of physical entities, describing for example distance, velocity, force and potentials. These biquaternions are termed physical biquaternions. This work has defined and made use of a number of physical biquaternions which are particularly relevant to describing geometrical optics and electromagnetism. The customary potential descriptions of the electromagnetic field in terms of field vectors or in any of the usual potential descriptions have proved inadequate for applications analogous with the transformations of geometrical optics. An alternative representation of the electromagnetic field has been developed that allows such an association. This has been achieved through the introduction and reformulation of the electromagnetic field in terms of two scalar potentials. This reformulation of the electromagnetic field results in certain conditions being placed on these scalar potentials, which must be met if realisable electromagnetic fields are to be obtained. The two examples of plane wave and dipole generated fields are considered in this thesis. This reformulation has also shown, that, for the spherically symmetrical medium, it provides the orthogonal transformation (the inversion) for rays and for the medium refractive index.
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Constantinides, Evagoras D. "A uniform geometrical optics and an extended uniform geometrical theory of diffraction for evaluating high frequency EM fields near smooth caustics and composite shadow boundaries /." The Ohio State University, 1993. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487843314694902.

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Ma, Donglin. "Exploration of Ray Mapping Methodology in Freeform Optics Design for Non-Imaging Applications." Diss., The University of Arizona, 2015. http://hdl.handle.net/10150/594394.

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This dissertation investigates various design metrologies on designing freeform surfaces for LED illumination applications. The major goal of this dissertation is to study designing freeform optical surfaces to redistribute the radiance (which can be simplified as intensity distribution for point source) of LED sources for various applications. Nowadays many applications, such as road lighting systems, automotive headlights, projection displays and medical illuminators, require an accurate control of the intensity distribution. Freeform optical lens is commonly used in illumination system because there are more freedoms in controlling the ray direction. Design methods for systems with rotational and translational symmetry were well discussed in the 1930's. However, designing freeform optical lenses or reflectors required to illuminate targets without such symmetries have been proved to be much more challenging. For the simplest case when the source is an ideal point source, the determination of the freeform surface in a rigorous manner usually leads to the tedious Monge-Ampère second order nonlinear partial different equation, which cannot be solved with standard numerical integration techniques. Instead of solving the differential equation, ray mapping is an easier and more efficient method in controlling one or more freeform surfaces for prescribed irradiance patterns. In this dissertation, we investigate the ray mapping metrologies in different coordinate systems to meet the integrability condition for generating smooth and continuous freeform surfaces. To improve the illumination efficiency and uniformity, we propose a composite ray mapping method for designing the total internal reflective (TIR) freeform lens for non-rotational illumination. Another method called "double pole" ray mapping method is also proposed to improve system performance. The ray mapping designs developed for the point source do not work well for extended sources, we have investigated different design methodologies including optimization method, deconvolution method and feedback modification method to design freeform optical surfaces for extended sources.
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Andersson, Roger. "Teaching and learning geometrical optics with computer assisted instruction : changing conceptions about vision, image and ray." Licentiate thesis, Karlstad University, Faculty of Technology and Science, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-720.

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The information and communication technology, ICT, is opening new possibilities for the educational arena. Previous research shows that achieving positive educational outcomes requires more than simply providing access to computer hardware and software. How does this new technology affect the teaching and learning of physics? This thesis focuses on the field of geometrical optics. It reports two studies, both in Swedish upper secondary school. Important for the use of the ICT in physics education is the teaching strategy for using the new technology. The first study investigates with a questionnaire, how 37 teachers in a region of Sweden use computers in physics education and what intentions they follow while doing so. The results of this study show that teachers’ intentions for using ICT in their physics teaching were to increase students' interest for physics, to increase their motivation, to achieve variation in teaching, and to improve visualization and explanation of the phenomena of physics. The second study investigates students’ conceptual change in geometrical optics during a teaching sequence with computer-assisted instruction. For this purpose we choose the computer software "Constructing Physics Understanding (CPU)", which was developed with a base in research on students conceptions in optics. The thesis presents the teaching sequence developed together with the teacher. The study is based on a constructivist view of learning. The concepts analysed in this study were vision, image, ray and image formation. A first result of this study is a category system for conceptions around these concepts, found among the students. With these categories we found that students even at this level, of upper secondary school, have constructed well-known alternative conceptions before teaching, e.g. about a holistic conception of image. The results show also some learning progress: some alternative conceptions vanish, in some cases the physics conceptions are more often constructed after teaching. The students and the teacher also report that the CPU program gave new and useful opportunities to model multiple rays and to model vision.

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Sasaki, Katsuhiro, and Hiroyasu Saka. "A simple method of the electric/magnetic field observation by a conventional transmission electron microscope." Trans Tech Publications Inc, 2005. http://hdl.handle.net/2237/5299.

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Books on the topic "Optics, Geometrical"

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1943-, Macdonald John, ed. Geometrical optics and optical design. New York: Oxford University Press, 1997.

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Lin, Psang Dain. Advanced Geometrical Optics. Singapore: Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-2299-9.

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Ditteon, Richard. Modern geometrical optics. New York: Wiley, 1998.

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1937-, Malacara Daniel, ed. Geometrical and instrumental optics. Boston: Academic Press, 1988.

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Dereniak, Eustace L. Geometrical and trigonometric optics. New York: Cambridge University Press, 2008.

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D, Dereniak Teresa, ed. Geometrical and trigonometric optics. New York: Cambridge University Press, 2008.

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Rose, Harald. Geometrical Charged-Particle Optics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-32119-1.

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Cornbleet, S. Microwave and geometrical optics. London: Academic Press, 1994.

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service), SpringerLink (Online, ed. Geometrical Charged-Particle Optics. 2nd ed. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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1937-, Malacara Daniel, ed. Geometrical and instrumental optics. Boston: Academic Press, 1988.

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Book chapters on the topic "Optics, Geometrical"

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Möller, K. D. "Geometrical Optics." In Optics, 1–76. New York, NY: Springer New York, 2003. http://dx.doi.org/10.1007/0-387-21809-2_1.

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Wellner, Marcel. "Geometrical Optics." In Elements of Physics, 511–42. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4615-3860-8_23.

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Eppig, Timo. "Geometrical Optics." In Encyclopedia of Ophthalmology, 1. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-642-35951-4_622-1.

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Beynon, J. "Geometrical Optics." In Work Out Waves and Optics, 1–28. London: Macmillan Education UK, 1988. http://dx.doi.org/10.1007/978-1-349-10165-8_1.

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Das, P. "Geometrical Optics." In Lasers and Optical Engineering, 1–73. New York, NY: Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-4424-0_1.

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Hodgson, Norman, and Horst Weber. "Geometrical Optics." In Optical Resonators, 7–51. London: Springer London, 1997. http://dx.doi.org/10.1007/978-1-4471-3595-1_2.

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Mickelson, Alan Rolf. "Geometrical Optics." In Physical Optics, 171–225. Boston, MA: Springer US, 1992. http://dx.doi.org/10.1007/978-1-4615-3530-0_5.

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Iizuka, Keigo. "Geometrical Optics." In Engineering Optics, 115–57. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-319-69251-7_5.

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Demtröder, Wolfgang. "Geometrical Optics." In Undergraduate Lecture Notes in Physics, 249–84. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-02291-4_9.

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Eppig, Timo. "Geometrical Optics." In Encyclopedia of Ophthalmology, 804. Berlin, Heidelberg: Springer Berlin Heidelberg, 2018. http://dx.doi.org/10.1007/978-3-540-69000-9_622.

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Conference papers on the topic "Optics, Geometrical"

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Marsan, M., M. Lucidi, and G. Cincotti. "Geometrical-Optics Based Spectrophotometry." In 2018 20th International Conference on Transparent Optical Networks (ICTON). IEEE, 2018. http://dx.doi.org/10.1109/icton.2018.8473846.

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Suchy, K. "Geometrical optics in nonstationary media." In MMET '96. VIth International Conference on Mathematical Methods in Electromagnetic Theory. Proceedings. IEEE, 1996. http://dx.doi.org/10.1109/mmet.1996.565697.

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HSU, Peter. "Phase information to geometrical optics." In International Conference on Optical Instruments and Technology 2019: Optical Systems and Modern Optoelectronic Instruments, edited by Takanori Nomura, Juan Liu, Baohua Jia, Xincheng Yao, and Yongtian Wang. SPIE, 2020. http://dx.doi.org/10.1117/12.2550050.

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Hosseinianfar, Hamid, Ata Chizari, and Jawad A. Salehi. "GOPA: Geometrical Optics Positioning Algorithm." In 2019 IEEE International Conference on Consumer Electronics (ICCE). IEEE, 2019. http://dx.doi.org/10.1109/icce.2019.8856168.

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Lawrence, George N., and Kenneth E. Moore. "Integration of geometrical and physical optics." In Optics, Electro-Optics, and Laser Applications in Science and Engineering, edited by Alvin D. Schnurr. SPIE, 1991. http://dx.doi.org/10.1117/12.43697.

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Chan, Aaron C. W., and Edmund Y. Lam. "Image Refocus in Geometrical Optical Phase Space." In Frontiers in Optics. Washington, D.C.: OSA, 2010. http://dx.doi.org/10.1364/fio.2010.fwh4.

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Ojeda-Castaneda, J., P. Andres, and A. Pons. "Geometrical Transformations In The Fraunhofer Plane." In 1986 Int'l European Conf on Optics, Optical Systems, and Applications, edited by Stefano Sottini and Silvana Trigari. SPIE, 1987. http://dx.doi.org/10.1117/12.937022.

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Díaz-Uribe, Rufino, Manuel Campos-García, Niklaus Ursus Wetter, and Jaime Frejlich. "The Geometrical Optics PSF with Third Order Aberrations." In RIAO∕OPTILAS 2007: 6th Ibero-American Conference on Optics (RIAO); 9th Latin-American Meeting on Optics, Lasers and Applications (OPTILAS). AIP, 2008. http://dx.doi.org/10.1063/1.2926985.

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Bertolotti, M., A. Mandatori, A. Benedetti, and C. Sibilia. "Considerations on cloaking in geometrical optics." In Photonics, Devices, and Systems IV, edited by Pavel Tománek, Dagmar Senderáková, and Miroslav Hrabovský. SPIE, 2008. http://dx.doi.org/10.1117/12.817994.

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Capozzoli, Amedeo, Claudio Curcio, Angelo Liseno, and Salvatore Savarese. "Accelerating fast marching for geometrical optics." In 2017 International Applied Computational Electromagnetics Society Symposium - Italy (ACES). IEEE, 2017. http://dx.doi.org/10.23919/ropaces.2017.7916309.

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Reports on the topic "Optics, Geometrical"

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Hay, Michael J., Ernest J. Valeo, and Nathaniel J. Fisch. Geometrical Optics of Dense Aerosols. Office of Scientific and Technical Information (OSTI), April 2013. http://dx.doi.org/10.2172/1089860.

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Kriegsmann, G. A. Acoustic Target Reconstruction Using Geometrical Optics Phase Information. Fort Belvoir, VA: Defense Technical Information Center, January 1987. http://dx.doi.org/10.21236/ada250441.

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L.Y. Dodin and N.J. Fisch. Axiomatic Geometrical Optics, Abraham-Minkowski Controversy, and Photon Properties Derived Classically. Office of Scientific and Technical Information (OSTI), June 2012. http://dx.doi.org/10.2172/1059262.

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Pathak, Ph H., and M. C. Liang. On a Uniform Geometrical Optics Analysis Valid Across Smooth Caustics of Rays Reflected by Smoothly Indented Boundaries. Fort Belvoir, VA: Defense Technical Information Center, July 1987. http://dx.doi.org/10.21236/ada245554.

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Hanlon, J., and H. Ziock. Using geometric algebra to study optical aberrations. Office of Scientific and Technical Information (OSTI), May 1997. http://dx.doi.org/10.2172/468621.

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Hahn, Will. A Low-Cost Apparatus for Laboratory Exercises and Classroom Demonstrations of Geometric Optics. Portland State University Library, January 2016. http://dx.doi.org/10.15760/honors.333.

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Light, Max Eugene. geometric optics and WKB method for electromagnetic wave propagation in an inhomogeneous plasma near cutoff. Office of Scientific and Technical Information (OSTI), April 2017. http://dx.doi.org/10.2172/1352403.

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Hanlon, J., and H. Ziock. Using geometric algebra to understand pattern rotations in multiple mirror optical systems. Office of Scientific and Technical Information (OSTI), May 1997. http://dx.doi.org/10.2172/468622.

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Gautesen, A. K., and J. R. Morris. A geometric optics approximation to a model of phase-compensated whole-beam thermal blooming: Part 1, General theory. Office of Scientific and Technical Information (OSTI), September 1988. http://dx.doi.org/10.2172/6045056.

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Gautesen, A., and J. Morris. A geometric optics approximation to a model of phase-compensated whole-beam thermal blooming: Part 2, Sensitivity to small-scale, steady-state perturbations. Office of Scientific and Technical Information (OSTI), March 1989. http://dx.doi.org/10.2172/6045025.

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