Saturation of multiplexed volume Bragg grating recording

Sergiy Kaim; Sergiy Mokhov; Ivan Divliansky; Vadim Smirnov; Julien Lumeau; Boris Y. Zeldovich; Leonid B. Glebov

doi:10.1364/JOSAA.32.000022

Journal of the Optical Society of America A
Vol. 32,
Issue 1,
pp. 22-27
(2015)
•https://doi.org/10.1364/JOSAA.32.000022

Saturation of multiplexed volume Bragg grating recording

Sergiy Kaim, Sergiy Mokhov, Ivan Divliansky, Vadim Smirnov, Julien Lumeau, Boris Y. Zeldovich, and Leonid B. Glebov

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Sergiy Kaim, Sergiy Mokhov, Ivan Divliansky, Vadim Smirnov, Julien Lumeau, Boris Y. Zeldovich, and Leonid B. Glebov, "Saturation of multiplexed volume Bragg grating recording," J. Opt. Soc. Am. A 32, 22-27 (2015)

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Abstract

Recording of volume Bragg gratings (VBGs) in photo-thermo-refractive glass is limited to a maximum refractive index change about 0.002. We discuss various saturation curves and their influence on the amplitudes of recorded gratings. Special attention is given to multiplexed VBGs aimed at recording several gratings in the same volume. The best shape of the saturation curve for production of the strongest gratings is the threshold-type curve. Two-photon absorption as a mechanism of recording also allows increasing the strength of multiplexed VBGs.

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N		Tanh	Arctan	Power	Exp	Line 45	Line 60	Heaviside
1	$F_{1}$ peak	0.472	0.382	0.343	0.438	0.536	0.625	0.637
1	$N \cdot U_{1}$ for peak value	1.05	1.3	2.45	1.55	0.65	0.8	0.5
4	$F_{1}$ peak	0.113	0.083	0.068	0.097	0.160	0.267	0.298
4	$N \cdot U_{1}$ for peak value	0.833	0.752	1.249	1.129	0.752	0.752	0.502
8	$F_{1}$ peak	0.056	0.041	0.033	0.047	0.086	0.158	0.199
8	$N \cdot U_{1}$ for peak value	0.833	0.680	1.129	1.129	0.752	0.752	0.502
16	$F_{1}$ peak	0.028	0.020	0.016	0.023	0.046	0.090	0.142
16	$N \cdot U_{1}$ for peak value	0.752	0.020	1.020	1.020	0.752	0.833	0.501
32	$F_{1}$ peak	0.014	0.01	0.01	0.012	0.025	0.049	0.101
32	$N \cdot U_{1}$ for peak value	0.752	0.614	1.249	1.020	0.833	0.833	0.502
64	$F_{1}$ peak	0.007	0.006	0.004	0.007	0.013	0.026	0.072
64	$N \cdot U_{1}$ for peak value	0.462	0.566	0.502	0.752	0.833	0.833	0.502

N		Tanh	Arctan	Power	Exp	Line 45	Line 60	Heaviside
1	$F_{1}$ peak	0.574	0.505	0.476	0.556	0.597	0.633	0.637
1	$N \cdot U_{1}$ for peak value	0.81	1.44	2.89	1.21	0.563	0.723	0.49
4	$F_{1}$ peak	0.145	0.110	0.092	0.127	0.186	0.272	0.292
4	$N \cdot U_{1}$ for peak value	0.585	0.585	0.878	0.717	0.478	0.478	0.390
8	$F_{1}$ peak	0.074	0.054	0.044	0.062	0.104	0.173	0.198
8	$N \cdot U_{1}$ for peak value	0.537	0.476	0.658	0.658	0.476	0.537	0.358
16	$F_{1}$ peak	0.037	0.028	0.021	0.030	0.056	0.104	0.139
16	$N \cdot U_{1}$ for peak value	0.514	0.343	0.711	0.437	0.514	0.514	0.343
32	$F_{1}$ peak	0.018	0.013	0.011	0.015	0.030	0.060	0.099
32	$N \cdot U_{1}$ for peak value	0.555	0.453	0.680	0.680	0.555	0.555	0.328
64	$F_{1}$ peak	0.009	0.006	0.005	0.008	0.016	0.033	0.069
64	$N \cdot U_{1}$ for peak value	0.510	0.434	0.706	0.706	0.553	0.553	0.327

N		Tanh	Arctan	Power	Exp	Line 45	Line 60	Heaviside
1	$F_{1}$ peak	0.472	0.382	0.343	0.438	0.536	0.625	0.637
1	$N \cdot U_{1}$ for peak value	1.05	1.3	2.45	1.55	0.65	0.8	0.5
4	$F_{1}$ peak	0.113	0.083	0.068	0.097	0.160	0.267	0.298
4	$N \cdot U_{1}$ for peak value	0.833	0.752	1.249	1.129	0.752	0.752	0.502
8	$F_{1}$ peak	0.056	0.041	0.033	0.047	0.086	0.158	0.199
8	$N \cdot U_{1}$ for peak value	0.833	0.680	1.129	1.129	0.752	0.752	0.502
16	$F_{1}$ peak	0.028	0.020	0.016	0.023	0.046	0.090	0.142
16	$N \cdot U_{1}$ for peak value	0.752	0.020	1.020	1.020	0.752	0.833	0.501
32	$F_{1}$ peak	0.014	0.01	0.01	0.012	0.025	0.049	0.101
32	$N \cdot U_{1}$ for peak value	0.752	0.614	1.249	1.020	0.833	0.833	0.502
64	$F_{1}$ peak	0.007	0.006	0.004	0.007	0.013	0.026	0.072
64	$N \cdot U_{1}$ for peak value	0.462	0.566	0.502	0.752	0.833	0.833	0.502

N		Tanh	Arctan	Power	Exp	Line 45	Line 60	Heaviside
1	$F_{1}$ peak	0.574	0.505	0.476	0.556	0.597	0.633	0.637
1	$N \cdot U_{1}$ for peak value	0.81	1.44	2.89	1.21	0.563	0.723	0.49
4	$F_{1}$ peak	0.145	0.110	0.092	0.127	0.186	0.272	0.292
4	$N \cdot U_{1}$ for peak value	0.585	0.585	0.878	0.717	0.478	0.478	0.390
8	$F_{1}$ peak	0.074	0.054	0.044	0.062	0.104	0.173	0.198
8	$N \cdot U_{1}$ for peak value	0.537	0.476	0.658	0.658	0.476	0.537	0.358
16	$F_{1}$ peak	0.037	0.028	0.021	0.030	0.056	0.104	0.139
16	$N \cdot U_{1}$ for peak value	0.514	0.343	0.711	0.437	0.514	0.514	0.343
32	$F_{1}$ peak	0.018	0.013	0.011	0.015	0.030	0.060	0.099
32	$N \cdot U_{1}$ for peak value	0.555	0.453	0.680	0.680	0.555	0.555	0.328
64	$F_{1}$ peak	0.009	0.006	0.005	0.008	0.016	0.033	0.069
64	$N \cdot U_{1}$ for peak value	0.510	0.434	0.706	0.706	0.553	0.553	0.327

Abstract

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Figures (8)

Tables (2)

Equations (18)

Journal of the Optical Society of America A