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Nonlinear optical phenomena
Influence of the Bragg angle on the optimal energy exchange in the course of two-wave mixing in a $Bi_{12}SiO_{20}$ piezoelectric crystal
V. V. Shepelevich, A. A. Firsov Mozyr State Teacher's Training University named after I. P. Shamiakin, Belarus
Abstract:
The problem of maximising the relative intensity of the signal optical wave in the course of two-wave mixing was solved taking into account the self-diffraction in a Bi$_{12}$SiO$_{20}$ piezoelectric crystal. The maximisation was carried out simultaneously with respect to four parameters: the polarisation ($\psi$) and orientation ($\theta$) angles, the crystal thickness $d$, and the Bragg angle $\varphi$. It was established that there are two sets of optimal parameters for a Bi$_{12}$SiO$_{20}$ crystal at the wavelength of 632.8 nm and for a typical acceptor concentration of $10^{22}$ m $^{-3}$: $\varphi \approx 11^{\circ}$, $\theta \approx 39.1^{\circ}$, $\psi \approx 98.85^{\circ}$, $d \approx 7.11$ mm (for the first maximum) and $\varphi \approx 11^{\circ}$, $\theta \approx 320.9^{\circ}$, $\psi \approx 54.15^{\circ}$, $d \approx 7.11$ mm (for the second maximum). The dependences of these optimal parameters on the acceptor concentration in the range $10^{21}-4 \cdot 10^{22}$ m $^{-3}$ were found. The model proposed for two-wave mixing in the special case of a fixed Bragg angle and the constant visibility approximation improved the agreement between the theoretical results and the known experimental data.
Received: 26.07.1999
Citation:
V. V. Shepelevich, A. A. Firsov, “Influence of the Bragg angle on the optimal energy exchange in the course of two-wave mixing in a $Bi_{12}SiO_{20}$ piezoelectric crystal”, Kvantovaya Elektronika, 30:1 (2000), 60–64 [Quantum Electron., 30:1 (2000), 60–64]
Linking options:
https://www.mathnet.ru/eng/qe1659 https://www.mathnet.ru/eng/qe/v30/i1/p60
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