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Light Waves at the Boundary of Nonlinear Media
Open accessAbstract
Solutions to Maxwell's equations in nonlinear dielectrics are presented which satisfy the boundary conditions at a plane interface between a linear and nonlinear medium. Harmonic waves emanate from the boundary. Generalizations of the well-known laws of reflection and refraction give the direction of the boundary harmonic waves. Their intensity and polarization conditions are described by generalizations of the Fresnel formulas. The equivalent Brewster angle for harmonic waves is derived. The various conditions for total reflection and transmission of boundary harmonics are discussed. The solution of the nonlinear plane parallel slab is presented which describes the harmonic generation in experimental situations. An integral equation formulation for wave propagation in nonlinear media is sketched. Implications of the nonlinear boundary theory for experimental systems and devices are pointed out.
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Citations
Cited by
Study of Optical Effects Due to an Induced Polarization Third Order in the Electric Field Strength
Maker, P. D., & Terhune, R. W. (1965) · Physical Review · doi:10.1103/physrev.137.a801 · Cited by 1,378
Principles of electromagnetic waves in metasurfaces
Luo, X. (2015) · Science China Physics, Mechanics & Astronomy · doi:10.1007/s11433-015-5688-1 · Cited by 580
Giant anisotropic nonlinear optical response in transition metal monopnictide Weyl semimetals
Wu, L., Patankar, S., Morimoto, T., Nair, N. L., Thewalt, E., Little, A., Analytis, J. G., Moore, J. E., & Orenstein, J. (2017) · Nature Physics · doi:10.1038/nphys3969 · Cited by 468
Resonance-enhanced optical nonlinearity in the Weyl semimetal TaAs
Patankar, S., Wu, L., Lu, B., Rai, M., Tran, J. D., Morimoto, T., Parker, D. E., Grushin, A. G., Nair, N. L., Analytis, J. G., et al. (2018) · Physical Review B · doi:10.1103/physrevb.98.165113 · Cited by 116
The geometric phase in nonlinear frequency conversion
Karnieli, A., Li, Y., & Arie, A. (2022) · Frontiers of Physics · doi:10.1007/s11467-021-1102-9 · Cited by 64
Metadata
- Authors
- Bloembergen, N., & Pershan, P. S.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1962-10-15
- Volume
- 128
- Issue
- 2
- Pages
- 606-622
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2109537480
- Cited by
- 1,218
- References
- 0
- FWCI
- 11.37
- Type
- journal article
- Language
- en
- Open access
- green
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- Bloembergen, N., & Pershan, P. S. (1962). Light Waves at the Boundary of Nonlinear Media. Physical Review. https://doi.org/10.1103/physrev.128.606
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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