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Electromagnetic quantization in dispersive inhomogeneous nonlinear dielectrics
Abstract
A technique of canonical quantization in a general dispersive nonlinear dielectric medium is presented. The medium can be inhomogeneous and anisotropic. The fields are expanded in a slowly varying envelope approximation to allow quantization. An arbitrary number of envelopes is included, assuming lossless propagation in each relevant frequency band. The resulting Lagrangian and Hamiltonian agree with known propagation equations and expressions for the dispersive energy. The central result of the theory is an expansion of the quantum Hamiltonian in terms of annihilation and creation operators corresponding to group-velocity photon-polariton excitations in the dielectric.
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Citations
Cited by
Gruner, T., & Welsch, D.-G. (1996) · Physical Review A · doi:10.1103/physreva.53.1818 · Cited by 388
Dung, H. T., Knöll, L., & Welsch, D.-G. (1998) · Physical Review A · doi:10.1103/physreva.57.3931 · Cited by 371
The spatial behavior of nonclassical light
Kolobov, M. I. (1999) · Reviews of Modern Physics · doi:10.1103/revmodphys.71.1539 · Cited by 360
Multiphoton quantum optics and quantum state engineering
Dell’Anno, F., De Siena, S., & Illuminati, F. (2006) · Physics Reports · doi:10.1016/j.physrep.2006.01.004 · Cited by 310
Dispersion cancellation in a measurement of the single-photon propagation velocity in glass
Steinberg, A. M., Kwiat, P. G., & Chiao, R. Y. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.2421 · Cited by 274
Metadata
- Authors
- Drummond, P. D.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1990-12-01
- Volume
- 42
- Issue
- 11
- Pages
- 6845-6857
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2071564911
- Cited by
- 162
- References
- 0
- FWCI
- 4.20
- Type
- journal article
- Language
- en
- Open access
- closed
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- Drummond, P. D. (1990). Electromagnetic quantization in dispersive inhomogeneous nonlinear dielectrics. Physical Review A. https://doi.org/10.1103/physreva.42.6845
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