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The effects of phase matching method and of uniaxial crystal symmetry on the polar distribution of second-order non-linear optical polarization
Abstract
The index matching technique of Giordmaine and Maker has been extended to include the more general three-wave interaction. Two fundamentally different experimental arrangements may be considered; one has the two low frequency waves in parallel polarizations and the other has these waves in orthogonal polarizations. The equations relating the phase matching angle in uniaxial crystals to the crystal birefringence, dispersion, and the frequencies of the three waves are given. These equations allow a cone of phase matched directions to be generated about the crystal optic axis. The effect of the symmetry properties of the second-order polarizability tensor on the strength of the phase matched output signal at particular azimuthal angles is discussed for all non-centro-symmetrical uniaxial crystal classes. The particular form of the second-order polarizability tensor for each of the uniaxial crystals is tabulated assuming that Kleinman's symmetry conjecture is valid.
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Citations
Cited by
Nonlinear Optical Crystals: A Complete Survey
(2005) · Springer eBooks · doi:10.1007/b138685 · Cited by 1,018
Extraordinary Second Harmonic Generation in Tungsten Disulfide Monolayers
Janisch, C., Wang, Y., Ma, D., Mehta, N., Elías, A. L., Perea-López, N., Terrones, M., Crespi, V., & Liu, Z. (2014) · Scientific Reports · doi:10.1038/srep05530 · Cited by 351
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
Wave-Equation Description of Nonlinear Optical Interactions
Boyd, R. W. (2008) · Nonlinear Optics · doi:10.1016/b978-0-12-369470-6.00002-2 · Cited by 304
Phase matching in β -barium borate crystals for spontaneous parametric down-conversion
Karan, S., Aarav, S., Bharadhwaj, H., Taneja, L., De, A., Kulkarni, G., Meher, N., & Jha, A. K. (2020) · Journal of Optics · doi:10.1088/2040-8986/ab89e4 · Cited by 63
Metadata
- Authors
- Midwinter, J. E., & Warner, J.
- Venue
- British Journal of Applied Physics
- Publisher
- IOP Publishing
- Published
- 1965-08
- Volume
- 16
- Issue
- 8
- Pages
- 1135-1142
- ISSN
- 0508-3443 (ISSN-L)
- OpenAlex
- W1964667222
- Cited by
- 229
- References
- 0
- FWCI
- 2.61
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: The effects of phase matching method and of uniaxial crystal symmetry on the polar distribution of second-order non-linear optical polarization. https://app.cochat.ai/papers/10.1088/0508-3443/16/8/312
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- Midwinter, J. E., & Warner, J. (1965). The effects of phase matching method and of uniaxial crystal symmetry on the polar distribution of second-order non-linear optical polarization. British Journal of Applied Physics. https://doi.org/10.1088/0508-3443/16/8/312
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