Electro-Optical Effect of Zincblende

Susumu Namba

doi:10.1364/JOSA.51.000076

Journal of the Optical Society of America
Vol. 51,
Issue 1,
pp. 76-79
(1961)
•https://doi.org/10.1364/JOSA.51.000076

Electro-Optical Effect of Zincblende

Susumu Namba

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Susumu Namba, "Electro-Optical Effect of Zincblende," J. Opt. Soc. Am. 51, 76-79 (1961)

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Abstract

The electro-optical coefficient of zincblende is measured by using the Senarmont compensator method for various wavelengths between 404 and 644 mμ and the application of the crystal to light modulator of wide optical aperture is discussed. The electro-optical coefficient is found to be 5.9×10⁻⁸ cm/statvolt at room temperature for wavelength of 546 mμ. The voltage for obtaining half-wave retardation is about 10 kv.

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	E ⊥ (001) plane	E ⊥ (110) plane	E ⊥ (111) plane
	E_x=E_y=0 E_z=E	$E_{x} = E_{y} = \frac{E}{\sqrt{2}} E_{z} = 0$	$E_{x} = E_{y} = E_{z} = \frac{E}{\sqrt{3}}$

index ellipsoid	$\frac{x^{2} + y^{2} + z^{2}}{{n_{0}}^{2}} + 2 r_{41} E x y = 1$	$\frac{x^{2} + y^{2} + z^{2}}{{n_{0}}^{2}} + \sqrt{2} r_{41} E (y z + z x) = 1$	$\frac{x^{2} + y^{2} + z^{2}}{{n_{0}}^{2}} + \frac{2}{\sqrt{3}} r_{41} E (y z + z x + x y) = 1$

n_x′	$n_{0} + \frac{1}{2} {n_{0}}^{3} r_{41} E$	$n_{0} + \frac{1}{2} {n_{0}}^{3} r_{41} E$	$n_{0} + \frac{1}{2 \sqrt{3}} {n_{0}}^{3} r_{41} E$

n_y′	$n_{0} - \frac{1}{2} {n_{0}}^{3} r_{41} E$	$n_{0} - \frac{1}{2} {n_{0}}^{3} r_{41} E$	$n_{0} + \frac{1}{2 \sqrt{3}} {n_{0}}^{3} r_{41} E$

n_z′	n₀	n₀	$n_{0} - \frac{1}{\sqrt{3}} n_{0}^{3} r_{41} E$

x′y′z′ coordinate

directions of optical path and axes of crossed polarizer

phase difference Γ(V=Ed)	$\begin{array}{l} Γ_{z} = \frac{2 π}{λ} {n_{0}}^{3} r_{41} V \\ Γ_{x y} = \frac{π}{λ} \frac{l}{d} {n_{0}}^{3} r_{41} V \end{array}$	$Γ_{\max} = \frac{2 π}{λ} \frac{l}{d} {n_{0}}^{3} r_{41} V$	$Γ = \frac{\sqrt{3} π}{λ} \frac{l}{d} {n_{0}}^{3} r_{41} V$

	r₄₁×10⁸ cm/stat. V			n₀
λ (mμ)	C. Schramm	H. Poulet	S. Namba	S. J. Czyzak
404			3.4	2.546
436			4.5	2.496
504			5.45	2.411
535	4.8
546		6.4	5.9	2.384
589	5.4		6.2	2.366
644			6.2	2.348
730	6.15

	E ⊥ (001) plane	E ⊥ (110) plane	E ⊥ (111) plane
	E_x=E_y=0 E_z=E	$E_{x} = E_{y} = \frac{E}{\sqrt{2}} E_{z} = 0$	$E_{x} = E_{y} = E_{z} = \frac{E}{\sqrt{3}}$

index ellipsoid	$\frac{x^{2} + y^{2} + z^{2}}{{n_{0}}^{2}} + 2 r_{41} E x y = 1$	$\frac{x^{2} + y^{2} + z^{2}}{{n_{0}}^{2}} + \sqrt{2} r_{41} E (y z + z x) = 1$	$\frac{x^{2} + y^{2} + z^{2}}{{n_{0}}^{2}} + \frac{2}{\sqrt{3}} r_{41} E (y z + z x + x y) = 1$

n_x′	$n_{0} + \frac{1}{2} {n_{0}}^{3} r_{41} E$	$n_{0} + \frac{1}{2} {n_{0}}^{3} r_{41} E$	$n_{0} + \frac{1}{2 \sqrt{3}} {n_{0}}^{3} r_{41} E$

n_y′	$n_{0} - \frac{1}{2} {n_{0}}^{3} r_{41} E$	$n_{0} - \frac{1}{2} {n_{0}}^{3} r_{41} E$	$n_{0} + \frac{1}{2 \sqrt{3}} {n_{0}}^{3} r_{41} E$

n_z′	n₀	n₀	$n_{0} - \frac{1}{\sqrt{3}} n_{0}^{3} r_{41} E$

x′y′z′ coordinate

directions of optical path and axes of crossed polarizer

phase difference Γ(V=Ed)	$\begin{array}{l} Γ_{z} = \frac{2 π}{λ} {n_{0}}^{3} r_{41} V \\ Γ_{x y} = \frac{π}{λ} \frac{l}{d} {n_{0}}^{3} r_{41} V \end{array}$	$Γ_{\max} = \frac{2 π}{λ} \frac{l}{d} {n_{0}}^{3} r_{41} V$	$Γ = \frac{\sqrt{3} π}{λ} \frac{l}{d} {n_{0}}^{3} r_{41} V$

	r₄₁×10⁸ cm/stat. V			n₀
λ (mμ)	C. Schramm	H. Poulet	S. Namba	S. J. Czyzak
404			3.4	2.546
436			4.5	2.496
504			5.45	2.411
535	4.8
546		6.4	5.9	2.384
589	5.4		6.2	2.366
644			6.2	2.348
730	6.15

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Journal of the Optical Society of America