Abstract

We study the influence of the electro-optic and optical activity effects of a crystal on the arbitrary linearly polarized light propagating along the optical axis and design an experiment to demonstrate this. According to the theory and the experimental results, we achieve a successful voltage-decreased electro-optic Q switch of the La3Ga5SiO14 crystal.

© 2006 Optical Society of America

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References

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  1. M.-H. Jiang, C.-S. Fang, X.-L. Yu, M. Wang, T.-H. Zheng, and Z.-S. Gao, "Polymorphism and metastable growth of DKDP," J. Cryst. Growth 53, 283-291 (1981).
    [CrossRef]
  2. X. Yin, J. Wang, H. Zhang, S. Zhang, R. Han, and T. Chang, "Electrooptic properties and electrooptic Q switch of La3Ga5SiO14 single crystal," Jpn. J. Appl. Phys. Part 1 41, 7419-7421 (2002).
    [CrossRef]
  3. M. Henry, S. Mallick, D. Rouède, L. E. Celaya, and A. Garcia Weidner, "Propagation of light in an optically active electro-optic crystal of Bi12SiO20: measurement of the electro-optic coefficient," J. Appl. Phys. 59, 2650-2654 (1986).
  4. Ph. Lemaire and M. Georges, "Correction method of secondary reflection effects in measurement of electro-optic coefficient in optically active materials," Opt. Commun. 91, 260-266 (1992).
    [CrossRef]

2002 (1)

X. Yin, J. Wang, H. Zhang, S. Zhang, R. Han, and T. Chang, "Electrooptic properties and electrooptic Q switch of La3Ga5SiO14 single crystal," Jpn. J. Appl. Phys. Part 1 41, 7419-7421 (2002).
[CrossRef]

1992 (1)

Ph. Lemaire and M. Georges, "Correction method of secondary reflection effects in measurement of electro-optic coefficient in optically active materials," Opt. Commun. 91, 260-266 (1992).
[CrossRef]

1981 (1)

M.-H. Jiang, C.-S. Fang, X.-L. Yu, M. Wang, T.-H. Zheng, and Z.-S. Gao, "Polymorphism and metastable growth of DKDP," J. Cryst. Growth 53, 283-291 (1981).
[CrossRef]

Celaya, L. E.

M. Henry, S. Mallick, D. Rouède, L. E. Celaya, and A. Garcia Weidner, "Propagation of light in an optically active electro-optic crystal of Bi12SiO20: measurement of the electro-optic coefficient," J. Appl. Phys. 59, 2650-2654 (1986).

Chang, T.

X. Yin, J. Wang, H. Zhang, S. Zhang, R. Han, and T. Chang, "Electrooptic properties and electrooptic Q switch of La3Ga5SiO14 single crystal," Jpn. J. Appl. Phys. Part 1 41, 7419-7421 (2002).
[CrossRef]

Fang, C.-S.

M.-H. Jiang, C.-S. Fang, X.-L. Yu, M. Wang, T.-H. Zheng, and Z.-S. Gao, "Polymorphism and metastable growth of DKDP," J. Cryst. Growth 53, 283-291 (1981).
[CrossRef]

Gao, Z.-S.

M.-H. Jiang, C.-S. Fang, X.-L. Yu, M. Wang, T.-H. Zheng, and Z.-S. Gao, "Polymorphism and metastable growth of DKDP," J. Cryst. Growth 53, 283-291 (1981).
[CrossRef]

Garcia Weidner, A.

M. Henry, S. Mallick, D. Rouède, L. E. Celaya, and A. Garcia Weidner, "Propagation of light in an optically active electro-optic crystal of Bi12SiO20: measurement of the electro-optic coefficient," J. Appl. Phys. 59, 2650-2654 (1986).

Georges, M.

Ph. Lemaire and M. Georges, "Correction method of secondary reflection effects in measurement of electro-optic coefficient in optically active materials," Opt. Commun. 91, 260-266 (1992).
[CrossRef]

Han, R.

X. Yin, J. Wang, H. Zhang, S. Zhang, R. Han, and T. Chang, "Electrooptic properties and electrooptic Q switch of La3Ga5SiO14 single crystal," Jpn. J. Appl. Phys. Part 1 41, 7419-7421 (2002).
[CrossRef]

Henry, M.

M. Henry, S. Mallick, D. Rouède, L. E. Celaya, and A. Garcia Weidner, "Propagation of light in an optically active electro-optic crystal of Bi12SiO20: measurement of the electro-optic coefficient," J. Appl. Phys. 59, 2650-2654 (1986).

Jiang, M.-H.

M.-H. Jiang, C.-S. Fang, X.-L. Yu, M. Wang, T.-H. Zheng, and Z.-S. Gao, "Polymorphism and metastable growth of DKDP," J. Cryst. Growth 53, 283-291 (1981).
[CrossRef]

Lemaire, Ph.

Ph. Lemaire and M. Georges, "Correction method of secondary reflection effects in measurement of electro-optic coefficient in optically active materials," Opt. Commun. 91, 260-266 (1992).
[CrossRef]

Mallick, S.

M. Henry, S. Mallick, D. Rouède, L. E. Celaya, and A. Garcia Weidner, "Propagation of light in an optically active electro-optic crystal of Bi12SiO20: measurement of the electro-optic coefficient," J. Appl. Phys. 59, 2650-2654 (1986).

Rouède, D.

M. Henry, S. Mallick, D. Rouède, L. E. Celaya, and A. Garcia Weidner, "Propagation of light in an optically active electro-optic crystal of Bi12SiO20: measurement of the electro-optic coefficient," J. Appl. Phys. 59, 2650-2654 (1986).

Wang, J.

X. Yin, J. Wang, H. Zhang, S. Zhang, R. Han, and T. Chang, "Electrooptic properties and electrooptic Q switch of La3Ga5SiO14 single crystal," Jpn. J. Appl. Phys. Part 1 41, 7419-7421 (2002).
[CrossRef]

Wang, M.

M.-H. Jiang, C.-S. Fang, X.-L. Yu, M. Wang, T.-H. Zheng, and Z.-S. Gao, "Polymorphism and metastable growth of DKDP," J. Cryst. Growth 53, 283-291 (1981).
[CrossRef]

Yin, X.

X. Yin, J. Wang, H. Zhang, S. Zhang, R. Han, and T. Chang, "Electrooptic properties and electrooptic Q switch of La3Ga5SiO14 single crystal," Jpn. J. Appl. Phys. Part 1 41, 7419-7421 (2002).
[CrossRef]

Yu, X.-L.

M.-H. Jiang, C.-S. Fang, X.-L. Yu, M. Wang, T.-H. Zheng, and Z.-S. Gao, "Polymorphism and metastable growth of DKDP," J. Cryst. Growth 53, 283-291 (1981).
[CrossRef]

Zhang, H.

X. Yin, J. Wang, H. Zhang, S. Zhang, R. Han, and T. Chang, "Electrooptic properties and electrooptic Q switch of La3Ga5SiO14 single crystal," Jpn. J. Appl. Phys. Part 1 41, 7419-7421 (2002).
[CrossRef]

Zhang, S.

X. Yin, J. Wang, H. Zhang, S. Zhang, R. Han, and T. Chang, "Electrooptic properties and electrooptic Q switch of La3Ga5SiO14 single crystal," Jpn. J. Appl. Phys. Part 1 41, 7419-7421 (2002).
[CrossRef]

Zheng, T.-H.

M.-H. Jiang, C.-S. Fang, X.-L. Yu, M. Wang, T.-H. Zheng, and Z.-S. Gao, "Polymorphism and metastable growth of DKDP," J. Cryst. Growth 53, 283-291 (1981).
[CrossRef]

J. Appl. Phys. (1)

M. Henry, S. Mallick, D. Rouède, L. E. Celaya, and A. Garcia Weidner, "Propagation of light in an optically active electro-optic crystal of Bi12SiO20: measurement of the electro-optic coefficient," J. Appl. Phys. 59, 2650-2654 (1986).

J. Cryst. Growth (1)

M.-H. Jiang, C.-S. Fang, X.-L. Yu, M. Wang, T.-H. Zheng, and Z.-S. Gao, "Polymorphism and metastable growth of DKDP," J. Cryst. Growth 53, 283-291 (1981).
[CrossRef]

Jpn. J. Appl. Phys. (1)

X. Yin, J. Wang, H. Zhang, S. Zhang, R. Han, and T. Chang, "Electrooptic properties and electrooptic Q switch of La3Ga5SiO14 single crystal," Jpn. J. Appl. Phys. Part 1 41, 7419-7421 (2002).
[CrossRef]

Opt. Commun. (1)

Ph. Lemaire and M. Georges, "Correction method of secondary reflection effects in measurement of electro-optic coefficient in optically active materials," Opt. Commun. 91, 260-266 (1992).
[CrossRef]

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Figures (6)

Fig. 1
Fig. 1

Experiment setup for studying the cone light interferogram of the LGS crystal.

Fig. 2
Fig. 2

Cone light interferogram of the LGS with the polarizer parallel to the analyzer: (a) with no voltage, (b) with negative voltage, (c) with positive voltage.

Fig. 3
Fig. 3

Experimental setup for studying the EO switch.

Fig. 4
Fig. 4

Relation of α, β, and the applied voltage V of crystal with (a) ρ = −85°, (b) ρ = −104°, (c) ρ = −116°.

Fig. 5
Fig. 5

Relation of polarization of light A, E, F, x axis of LGS, and optical axis of the λ∕4 piece.

Fig. 6
Fig. 6

Configuration of laser cavity with LGS used as the EO Q switch.

Equations (34)

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( 1 / n o 2 + γ 11 E ) x 2 + ( 1 / n o 2 γ 11 E ) y 2 + z 2 / n e 2 + 2 γ 41 E y z = 0 ,
x 2 / n o 2 + y 2 / n o 2 + z 2 / n e 2 + 2 γ 41 E y z = 0.
n 1 = n o ,
n 2 = n o + n o 5 n e 2 ( γ 41 E ) 2 / 2 ( n o 2 n e 2 ) ,
n 3 = n e n o 2 n e 5 ( γ 41 E ) 2 / 2 ( n o 2 n e 2 ) .
tan 2 ξ = 2 n o 2 n e 2 γ 41 E n e 2 - n o 2 .
( 1 / n o 2 + γ 11 E ) x 2 + ( 1 / n o 2 γ 11 E ) y 2 + z 2 / n e 2 = 0.
n 1 = n o + n o 3 γ 11 E / 2 ,
n 2 = n o n o 3 γ 11 E / 2 ,
n 3 = n e .
θ = 2 π λ n o 3 r 11 V d l ,
ϕ 2 = θ 2 / 4 + ρ 2 ,
( E X E Y ) = ( cos ω sin ω ) ,
( E X E Y ) = J ( E X E Y ) ,
J = [ a + i b c c a i b ] ,
( E X E Y ) = ( a E X + c E Y + b E X i c E X + a E Y b E Y i ) .
I = | E X | 2 cos 2 ( τ ) + | E Y | 2 sin 2 ( τ ) + 2 | E X | | E Y | sin ( τ ) cos ( τ ) cos ( δ ) ,
δ = δ X δ Y ,
tan ( δ X ) = b E X a E X + c E X ,
tan ( δ Y ) = - b E Y a E Y - c E X .
cos ( δ ) = cos ( δ X ) cos ( δ Y ) + sin ( δ X ) sin ( δ Y ) .
I = 1 / 2 + [ ( a 2 1 / 2 ) sin ( 2 ω ) a c cos ( 2 ω ) ] sin ( 2 τ )
+ [ a c sin ( 2 ω ) + ( 1 / 2 c 2 ) cos ( 2 ω ) ] cos ( 2 τ ) .
tan ( 2 ω ) = c / a , τ = ω ,
( E X E Y ) = J ( E X E Y ) ,
J = [ a + i b c c a i b ] .
( E X E Y ) = ( ( 1 2 b 2 ) E Y + 2 ( a b E X + b c E Y ) i 2 ( b c E X - a b E Y ) i + ( 1 2 b 2 ) E Y ) .
I = 1 4 b 2 [ a sin ( 2 ω ) c cos ( 2 ω ) ] 2 .
b 2 = 1 / 2 , tan ( 2 ω ) = a / c ,
tan ( 2 α 1 ) = tan [ 2 ( α 1 π / 2 ) ] = tan ( 2 α 2 )
α = ω ,
γ + β = 2 ρ ,
if           γ = β ± π / 2 ,
or         β = ρ ± π / 4 ,

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