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Beyond Clausius-Mossotti - Wave propagation on a polarizable point lattice and the discrete dipole approximation
Abstract
We derive the dispersion relation for electromagnetic waves propagating on a lattice of polarizable points. From this dispersion relation we obtain a prescription for choosing dipole polarizabilities so that an infinite lattice with finite lattice spacing will mimic a continuum with dielectric constant. The discrete dipole approximation is used to calculate scattering and absorption by a finite target by replacing the target with an array of point dipoles. We compare different prescriptions for determining the dipole polarizabilities. We show that the most accurate results are obtained when the lattice dispersion relation is used to set the polarizabilities.
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Citations
Cited by
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Huang, X., Neretina, S., & El‐Sayed, M. A. (2009) · Advanced Materials · doi:10.1002/adma.200802789 · Cited by 1,921
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
Optical properties of metallic nanoparticles: manipulating light, heat and forces at the nanoscale
Coronado, E. A., Encina, E. R., & Stefani, F. D. (2011) · Nanoscale · doi:10.1039/c1nr10788g · Cited by 284
Adato, R., Artar, A., Erramilli, S., & Altug, H. (2013) · Nano Letters · doi:10.1021/nl400689q · Cited by 224
Metadata
- Authors
- Draine, B. T., & Goodman, J.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 1993-03
- Volume
- 405
- Pages
- 685
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W2036035637
- Cited by
- 441
- References
- 0
- FWCI
- 2.45
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Beyond Clausius-Mossotti - Wave propagation on a polarizable point lattice and the discrete dipole approximation. https://app.cochat.ai/papers/10.1086/172396
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- Draine, B. T., & Goodman, J. (1993). Beyond Clausius-Mossotti - Wave propagation on a polarizable point lattice and the discrete dipole approximation. The Astrophysical Journal. https://doi.org/10.1086/172396
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