The DOI matches its Crossref record; 25 of the 25 references it cites were found in a registry or an index.
Effective medium models for the optical properties of inhomogeneous materials
Abstract
The Maxwell Garnett and Bruggeman effective medium theories are derived for the average dielectric permeability of heterogeneous materials from a unified theoretical approach. It starts by specifying two random unit cells which represent different microstructures. Requiring that these cells should not be detectable by electromagnetic radiation when embedded in an effective medium, we show from an extended optical theorem that the forward scattering amplitude must vanish. Setting the leading term in the expansion series of this quantity equal to zero yields the effective medium theories pertaining to the two microstructures. The remaining terms provide estimates of the accuracy of the approximations. This approach is then used in numerical computations for Co-AI(2)O(3) cermets.
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Cites
Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen
Mie, G. (1908) · Annalen der Physik · doi:10.1002/andp.19083300302 · Cited by 11,537
Bruggeman, D. A. G. (1935) · Annalen der Physik · doi:10.1002/andp.19354160705 · Cited by 8,645
Light Scattering by Small Particles
van de Hulst, H. C. (1981) · CERN Document Server (European Organization for Nuclear Research) · Cited by 7,938
XII. Colours in metal glasses and in metallic films
Garnett, J. C. M. (1904) · Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character · doi:10.1098/rsta.1904.0024 · Cited by 4,373
The Scattering of Light and Other Electromagnetic Radiation
(1969) · Elsevier eBooks · doi:10.1016/c2013-0-06195-6 · Cited by 3,816
Theory of Electric Polarization
Böttcher, C. J. F., van Belle, O. C., Bordewijk, P., Rip, A., & Yue, D. D. (1974) · Journal of The Electrochemical Society · doi:10.1149/1.2402382 · Cited by 3,352
Optical constants of transition metals: Ti, V, Cr, Mn, Fe, Co, Ni, and Pd
Johnson, P., & Christy, R. (1974) · Physical Review B · doi:10.1103/physrevb.9.5056 · Cited by 1,759
The theory and properties of randomly disordered crystals and related physical systems
Elliott, R. J., Krumhansl, J. A., & Leath, P. L. (1974) · Reviews of Modern Physics · doi:10.1103/revmodphys.46.465 · Cited by 1,621
Granqvist, C. G., & Buhrman, R. A. (1976) · Journal of Applied Physics · doi:10.1063/1.322870 · Cited by 1,613
Self-citationElectrical conductivity in inhomogeneous media
Landauer, R. (1978) · AIP Conference Proceedings · doi:10.1063/1.31150 · Cited by 655
Cited by
Electrochromics for smart windows: Oxide-based thin films and devices
Granqvist, C. G. (2014) · Thin Solid Films · doi:10.1016/j.tsf.2014.02.002 · Cited by 1,080
Self-citationSurface plasmons in metallic nanoparticles: fundamentals and applications
Garcia, M. A. (2011) · Journal of Physics D: Applied Physics · doi:10.1088/0022-3727/44/28/283001 · Cited by 907
Introduction to the Maxwell Garnett approximation: tutorial
Markel, V. A. (2016) · Journal of the Optical Society of America A · doi:10.1364/josaa.33.001244 · Cited by 859
Thermoplasmonic Study of a Triple Band Optical Nanoantenna Strongly Coupled to Mid IR Molecular Mode
Hasan, D., Ho, C. P., Pitchappa, P., Yang, B., Yang, C., & Lee, C. (2016) · Scientific Reports · doi:10.1038/srep22227 · Cited by 23
Metadata
- Authors
- Niklasson, G. A., Granqvist, C. G., & Hunderi, O.
- Venue
- Applied Optics
- Publisher
- Optica Publishing Group
- Published
- 1981-01-01
- Volume
- 20
- Issue
- 1
- Pages
- 26
- ISSN
- 0003-6935 (ISSN-L)
- 1539-4522
- OpenAlex
- W2067969923
- Cited by
- 664
- References
- 25
- FWCI
- 6.72
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.