The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Smallest possible electromagnetic mode volume in a dielectric cavity
Abstract
In photonic crystals, electromagnetic waves can be confined in all three dimensions – leading to very small mode volumes. A computational search has been made for the smallest electromagnetic mode volume which occurs in two-dimensional, dielectric photonic crystals slabs. The smallest mode volume found was V ≈ 2(λ/2n)3, where n is the refractive index. This small mode volume can lead to significant enhancement of spontaneous emission rates in semiconductor nano-cavities due to the Purcell effect.
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“Since the effective volume (Veff ) depends on the electric field distribution (E ( → r ) ) and the relative permittivity of the medium ( ε ( → r ) ), in conventional dielectric cavities, it cannot fall below the order ∼ ( λ c /2 n ) 3 . However, the effective volume can be approximated by the effective cavity length (Leff ) in the case of a planar configuration of the microcavities [280-282]:”
From Metal Oxide Thin Films for Advanced Photonic Applications (2026) · cites this paper as [280]
Citations
Cites
Inhibited Spontaneous Emission in Solid-State Physics and Electronics
Yablonovitch, E. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.2059 · Cited by 14,195
Self-citationA perfectly matched layer for the absorption of electromagnetic waves
Bérenger, J.-P. (1994) · Journal of Computational Physics · doi:10.1006/jcph.1994.1159 · Cited by 10,212
Resonance Absorption by Nuclear Magnetic Moments in a Solid
Purcell, E. M., Torrey, H. C., & Pound, R. V. (1946) · Physical Review · doi:10.1103/physrev.69.37 · Cited by 6,259
Introduction to Quantum Field Theory
Milonni, P. W. (1994) · Elsevier eBooks · doi:10.1016/b978-0-08-057149-2.50014-x · Cited by 4,037
Mur, G. (1981) · IEEE Transactions on Electromagnetic Compatibility · doi:10.1109/temc.1981.303970 · Cited by 2,565
An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices
Gedney, S. D. (1996) · IEEE Transactions on Antennas and Propagation · doi:10.1109/8.546249 · Cited by 1,323
Enhanced Spontaneous Emission by Quantum Boxes in a Monolithic Optical Microcavity
Gérard, J., Sermage, B., Gayral, B., Legrand, B., Costard, E., & Thierry-Mieg, V. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.1110 · Cited by 1,133
Photonic-bandgap microcavities in optical waveguides
Foresi, J. S., Villeneuve, P. R., Ferrera, J., Thoen, E. R., Steinmeyer, G., Fan, S., Joannopoulos, J. D., Kimerling, L. C., Smith, H. I., & Ippen, E. P. (1997) · Nature · doi:10.1038/36514 · Cited by 964
The Quantum Vacuum: An Introduction to Quantum Electrodynamics
Milonni, P. W., & Eberlein, C. (1994) · American Journal of Physics · doi:10.1119/1.17618 · Cited by 952
High Extraction Efficiency of Spontaneous Emission from Slabs of Photonic Crystals
Fan, S., Villeneuve, P. R., Joannopoulos, J. D., & Schubert, E. F. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.3294 · Cited by 644
Research works printed but not linked: 2
- Boroditsky, 1998, Photonics West 1998
- Boroditsky, 1997, 7, 53
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Lasing in metallic-coated nanocavities
Hill, M. T., Oei, Y.-S., Smalbrugge, B., Zhu, Y., Vries, T. D., van Veldhoven, P. J., van Otten, F. W. M., Eijkemans, T. J., Turkiewicz, J. P., Waardt, H. D., et al. (2007) · Nature Photonics · doi:10.1038/nphoton.2007.171 · Cited by 810
Imada, M., Noda, S., Chutinan, A., Tokuda, T., Murata, M., & Sasaki, G. (1999) · Applied Physics Letters · doi:10.1063/1.124361 · Cited by 751
Aperture-coupled patch antenna on UC-PBG substrate
Coccioli, R., Yang, F.-R., Ma, K.-P., & Itoh, T. (1999) · IEEE Transactions on Microwave Theory and Techniques · doi:10.1109/22.798008 · Cited by 470
Self-citationManipulating light with strongly modulated photonic crystals
Notomi, M. (2010) · Reports on Progress in Physics · doi:10.1088/0034-4885/73/9/096501 · Cited by 445
Spontaneous emission extraction and Purcell enhancement from thin-film 2-D photonic crystals
Boroditsky, M., Vrijen, R. B., Krauss, T. F., Coccioli, R., Bhat, R. J., & Yablonovitch, E. (1999) · Journal of Lightwave Technology · doi:10.1109/50.803000 · Cited by 294
Self-citation
Metadata
- Authors
- Coccioli, R., Boroditsky, M., Yablonovitch, E., Rahmat-Samii, Y., & Kim, K. W.
- Affiliations
- University of California, Los Angeles (US)
- ORCID
- Yablonovitch, E.
- Venue
- IEE Proceedings - Optoelectronics
- Published
- 1998-12-01
- Volume
- 145
- Issue
- 6
- Pages
- 391-397
- ISSN
- 1350-2433 (ISSN-L)
- 1359-7078
- OpenAlex
- W2158715320
- Cited by
- 178
- References
- 12
- Citations by year
- 2025: 8 · 2024: 5 · 2023: 7 · 2022: 14 · 2021: 8 · 2020: 9 · 2019: 7 · 2018: 9 · 2017: 8 · 2016: 7 · 2015: 7 · 2014: 2 · 2013: 7 · 2012: 4
- FWCI
- 4.41
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEE Proceedings - Optoelectronics (publishedVersion)
- Funders
- Multidisciplinary University Research Initiative
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Photonic Crystals and Applications
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Photonic and Optical Devices
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
- Keywords
- mode volume, dielectric photonic crystals, two-dimensional photonic crystal slab, electromagnetic wave confinement, spontaneous emission enhancement, Purcell effect, refractive index
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- The paper
- Coccioli, R., Boroditsky, M., Yablonovitch, E., Rahmat-Samii, Y., & Kim, K. W. (1998). Smallest possible electromagnetic mode volume in a dielectric cavity. IEE Proceedings - Optoelectronics. https://doi.org/10.1049/ip-opt%3A19982468
