Full Wave Modelling of Light Propagation and Reflection
The propagation and reflection of electromagnetic waves in a three‐dimensional environment is simulated, and realistic images are produced using the resulting light distributions and reflectance functions. A finite difference time domain method is employed to advance the electric and magnetic fields...
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| Published in | Computer graphics forum Vol. 32; no. 6; pp. 24 - 37 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Blackwell Publishing Ltd
01.09.2013
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0167-7055 1467-8659 |
| DOI | 10.1111/cgf.12012 |
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| Abstract | The propagation and reflection of electromagnetic waves in a three‐dimensional environment is simulated, and realistic images are produced using the resulting light distributions and reflectance functions. A finite difference time domain method is employed to advance the electric and magnetic fields in a scene. Surfaces containing wavelength scaled structures are created, the interaction of the electromagnetic waves with these nano‐structured materials is calculated, and the sub‐surface interference and diffraction effects are modelled. The result is a reflectance function with wavelength composition and spatial distribution properties that could not have been predicted using classic computer graphic ray tracing approaches. The techniques are employed to reproduce demonstrations of simple interference and diffraction effects, and to create computer‐generated pictures of a Morpho butterfly.
The propagation and reflection of electromagnetic waves in a three‐dimensional environment is simulated, and realistic images are produced using the resulting light distributions and reflectance functions. A finite difference time domain method is employed to advance the electric and magnetic fields in a scene. Surfaces containing wavelength scaled structures are created, the interaction of the electromagnetic waves with these nano‐structured materials is calculated, and the sub‐surface interference and diffraction effects are modeled. The result is a reflectance function with wavelength composition and spatial distribution properties that could not have been predicted using classic computer graphic ray tracing approaches. |
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| AbstractList | The propagation and reflection of electromagnetic waves in a three-dimensional environment is simulated, and realistic images are produced using the resulting light distributions and reflectance functions. A finite difference time domain method is employed to advance the electric and magnetic fields in a scene. Surfaces containing wavelength scaled structures are created, the interaction of the electromagnetic waves with these nano-structured materials is calculated, and the sub-surface interference and diffraction effects are modelled. The result is a reflectance function with wavelength composition and spatial distribution properties that could not have been predicted using classic computer graphic ray tracing approaches. The techniques are employed to reproduce demonstrations of simple interference and diffraction effects, and to create computer-generated pictures of a Morpho butterfly. The propagation and reflection of electromagnetic waves in a three-dimensional environment is simulated, and realistic images are produced using the resulting light distributions and reflectance functions. A finite difference time domain method is employed to advance the electric and magnetic fields in a scene. Surfaces containing wavelength scaled structures are created, the interaction of the electromagnetic waves with these nano-structured materials is calculated, and the sub-surface interference and diffraction effects are modeled. The result is a reflectance function with wavelength composition and spatial distribution properties that could not have been predicted using classic computer graphic ray tracing approaches. The propagation and reflection of electromagnetic waves in a three‐dimensional environment is simulated, and realistic images are produced using the resulting light distributions and reflectance functions. A finite difference time domain method is employed to advance the electric and magnetic fields in a scene. Surfaces containing wavelength scaled structures are created, the interaction of the electromagnetic waves with these nano‐structured materials is calculated, and the sub‐surface interference and diffraction effects are modelled. The result is a reflectance function with wavelength composition and spatial distribution properties that could not have been predicted using classic computer graphic ray tracing approaches. The techniques are employed to reproduce demonstrations of simple interference and diffraction effects, and to create computer‐generated pictures of a Morpho butterfly. The propagation and reflection of electromagnetic waves in a three‐dimensional environment is simulated, and realistic images are produced using the resulting light distributions and reflectance functions. A finite difference time domain method is employed to advance the electric and magnetic fields in a scene. Surfaces containing wavelength scaled structures are created, the interaction of the electromagnetic waves with these nano‐structured materials is calculated, and the sub‐surface interference and diffraction effects are modeled. The result is a reflectance function with wavelength composition and spatial distribution properties that could not have been predicted using classic computer graphic ray tracing approaches. The propagation and reflection of electromagnetic waves in a three‐dimensional environment is simulated, and realistic images are produced using the resulting light distributions and reflectance functions. A finite difference time domain method is employed to advance the electric and magnetic fields in a scene. Surfaces containing wavelength scaled structures are created, the interaction of the electromagnetic waves with these nano‐structured materials is calculated, and the sub‐surface interference and diffraction effects are modelled. The result is a reflectance function with wavelength composition and spatial distribution properties that could not have been predicted using classic computer graphic ray tracing approaches. The techniques are employed to reproduce demonstrations of simple interference and diffraction effects, and to create computer‐generated pictures of a Morpho butterfly. The propagation and reflection of electromagnetic waves in a three-dimensional environment is simulated, and realistic images are produced using the resulting light distributions and reflectance functions. A finite difference time domain method is employed to advance the electric and magnetic fields in a scene. Surfaces containing wavelength scaled structures are created, the interaction of the electromagnetic waves with these nano-structured materials is calculated, and the sub-surface interference and diffraction effects are modelled. The result is a reflectance function with wavelength composition and spatial distribution properties that could not have been predicted using classic computer graphic ray tracing approaches. The techniques are employed to reproduce demonstrations of simple interference and diffraction effects, and to create computer-generated pictures of a Morpho butterfly. [PUBLICATION ABSTRACT] |
| Author | Oh, S. H. Reitich, F. Musbach, A. Meyer, G. W. |
| Author_xml | – sequence: 1 givenname: A. surname: Musbach fullname: Musbach, A. email: avery@cs.umn.edu organization: Department of Computer Science & Engineering, University of Minnesota, MN, Minneapolis, USA – sequence: 2 givenname: G. W. surname: Meyer fullname: Meyer, G. W. email: meyer@cs.umn.edu organization: Department of Computer Science & Engineering, University of Minnesota, MN, Minneapolis, USA – sequence: 3 givenname: F. surname: Reitich fullname: Reitich, F. email: reitich@math.umn.edu organization: Department of Mathematics, University of Minnesota, MN, Minneapolis, USA – sequence: 4 givenname: S. H. surname: Oh fullname: Oh, S. H. email: sang@umn.edu organization: Department of Electrical & Computer Engineering, University of Minnesota, MN, Minneapolis, USA |
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| Cites_doi | 10.1109/38.75591 10.1109/75.366463 10.1109/2945.646234 10.1109/75.544545 10.1006/jcph.1994.1159 10.1109/TEMC.1980.303880 10.1038/nphoton.2007.2 10.1111/j.1467-8659.2008.01118.x 10.1016/j.micron.2006.07.004 10.1111/1467-8659.00515 10.1111/j.1467-8659.2009.01620.x 10.1109/TNS.1980.4331114 10.1364/AO.48.004177 10.1098/rsif.2004.0006 10.1109/TNS.1977.4329229 |
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| Copyright | 2013 The Authors Computer Graphics Forum © 2013 The Eurographics Association and John Wiley & Sons Ltd. Copyright © 2013 The Eurographics Association and John Wiley & Sons Ltd. |
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| References_xml | – reference: [DZC09] Zhu D., Kinoshita S., Cai D., Cole J. B.: Investigation of structural colors in morpho butterflies using the nonstandard-finite-difference time-domain method. Physical Review 80 (2009), 051924-1-051924-12. – reference: [LS09] Lee R., Smith G.: Detailed electromagnetic simulation for the structural color of butterfly wings. Applied Optics 48 (2009), 4177-4190. – reference: [HSK80] Holland R., Simpson L., Kunz K.: Finite-difference analysis of emp coupling to lossy dielectric structures. IEEE Transactions on Electromagnetic Compatibility 22 (1980), 203-209. – reference: [ED09] Elsherbini A., Demir V.: The Finite-Difference Time-Domain Method for Electromagnetics with MATLAB® Simulations. Scitech Publishing, Inc., Raleigh, NC, 2009. – reference: [NDM*97] Nagata N., Dobashi T., Manabe Y., Usami T., Inokuchi S.: Modeling and visualization for a pearl-quality evaluation simulator. IEEE Transactions on Visualization and Computer Graphics 3, 4 (1997), 307-315. – reference: [SEM01] Ershov S., Kolchin K., Myszkowski K.: Rendering pearlescent appearance based on paint composition modelling. Computer Graphics Forum 20, 3 (2001), 227-238. – reference: [Rap95] Rappaport C. M.: Perfectly matched absorbing boundary conditions based on anisotropic lossy mapping of space. IEEE Microwave and Guided Wave Letters 5 (1995), 90-92. – reference: [KYM08] Kinoshita S., Yoshioka S., Miyazaki J.: Physics of structural colors. Reports on Progress in Physics 71, 7 (2008), 1-30. – reference: [PGV*07] Potyrailo R. A., Ghiradella H., Vertiatchikh A., Dovidenko K., Cournoyer J. R., Olson E.: Morpho butterfly wing scales demonstrate highly selective vapour response. Nature Photonics 1 (2007), 123-128. – reference: [CW94] Chew W. C., Weedon W. H.: A 3d perfectly matched medium from modified Maxwell's equations with stretched coordinates. IEEE Microwave and Guided Wave Letters 7 (1994), 599-604. – reference: [HZ74] Hecht E., Zajac A.: Optics. Addison-Wesley Publishing Company, Philippines, 1974. – reference: [TH05] Taflove A., Hagness S.: Computational Electrodynamics: The Finite-Difference Time-Domain Method, third edition ed. Artech House, Inc., Norwood, MA, 2005. – reference: [Pla04] Plattner L.: Optical properties of the scales of morpho rhetenor butterflies: theoretical and experimental investigation of the back-scattering of light in the visible spectrum. Journal of The Royal Society Interface 1, 1 (2004), 49-59. – reference: [ZCG08] Ziegler R., Croci S., Gross M.: Lighting and occlusion in a wave-based framework. Computer Graphics Forum 27, 2 (2008), 211-220. – reference: [Lee09] Lee R.: A novel method for incorporating periodic boundaries into the FDTD method and the application to the study of structural color of insects. PhD thesis, Georgia Institute of Technology, 2009. – reference: [Dia91] Dias M.: Ray tracing interference color. IEEE Computer Graphics and Applications 11, 2 (1991), 54-60. – reference: [OKG*10] Oh S. B., Kashyap S., Garg R., Chandran S., Raskar R.: Rendering wave effects with augmented light field. Computers & Graphics Forum 29, 2 (2010), 507-516. – reference: Bérenger J. P.: A perfectly matched layer for the absorption of electromagnetic waves. Journal of Computational Physics 114, (1994), 185-200. – reference: [KM96] Kuzuoglu M., Mittra R.: Frequency dependence of the constitutive parameters of causal perfectly matched anisotropic absorbers. IEEE Microwave and Guided Wave Letters 6, 12 (1996), 447-449. – reference: [Hol77] Holland R.: Threde: a free-field emp coupling and scattering code. IEEE Transactions on Nuclear Science 24 (1977), 2416-2421. – reference: [SB07] Banerjee S., Cole J. B., Yatagai T.: Colour characterization of a morpho butterfly wing-scale using a high accuracy nonstandard finite-difference time-domain method. Micron 38 (2007), 97-103. – reference: [MFS80] Merewether D., Fisher R., Smith F.: On implementing a numeric huygen's source scheme in a finite difference program to illuminate scattering bodies. IEEE Transactions on Nuclear Science 27, 6 (1980), 1829-1833. – start-page: 97 year: 2007 end-page: 103 article-title: Colour characterization of a morpho butterfly wing‐scale using a high accuracy nonstandard finite‐difference time‐domain method publication-title: Micron 38 – year: 2009 – start-page: 203 year: 1980 end-page: 209 article-title: Finite‐difference analysis of emp coupling to lossy dielectric structures publication-title: IEEE Transactions on Electromagnetic Compatibility 22 – start-page: 123 year: 2007 end-page: 128 article-title: Morpho butterfly wing scales demonstrate highly selective vapour response publication-title: Nature Photonics 1 – volume: 6 start-page: 1829 year: 1980 end-page: 1833 article-title: On implementing a numeric huygen's source scheme in a finite difference program to illuminate scattering bodies publication-title: IEEE Transactions on Nuclear Science 27 – volume: 4 start-page: 307 year: 1997 end-page: 315 article-title: Modeling and visualization for a pearl‐quality evaluation simulator publication-title: IEEE Transactions on Visualization and Computer Graphics 3 – year: 2005 – start-page: 599 year: 1994 end-page: 604 article-title: A 3d perfectly matched medium from modified Maxwell's equations with stretched coordinates publication-title: IEEE Microwave and Guided Wave Letters 7 – volume: 2 start-page: 211 year: 2008 end-page: 220 article-title: Lighting and occlusion in a wave‐based framework publication-title: Computer Graphics Forum 27 – start-page: 90 year: 1995 end-page: 92 article-title: Perfectly matched absorbing boundary conditions based on anisotropic lossy mapping of space publication-title: IEEE Microwave and Guided Wave Letters 5 – volume: 7 start-page: 1 year: 2008 end-page: 30 article-title: Physics of structural colors publication-title: Reports on Progress in Physics 71 – year: 2000 – volume: 2 start-page: 54 year: 1991 end-page: 60 article-title: Ray tracing interference color publication-title: IEEE 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| SubjectTerms | Analysis Computer graphics Diffraction electromagnetic wave Electromagnetic waves Electromagnetics FDTD I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism colour I.3.7 [Computer Graphics]: Three‐Dimensional Graphics and Realism colour, shading, shadowing and texture interference iridescence Light Mathematical models Nanostructure Newton's colours optics Reflectance functions Reflection rendering shader shading shadowing and texture structural colour Studies thin film Wave propagation Wavelengths |
| Title | Full Wave Modelling of Light Propagation and Reflection |
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