Measurement of the photorefractive grating phase shift in a polymer by an ac phase-modulation technique

Martin Liphardt; Stephen Ducharme

doi:10.1364/JOSAB.15.002154

Measurement of the photorefractive grating phase shift in a polymer by an ac phase-modulation technique

Martin Liphardt and Stephen Ducharme

Journal of the Optical Society of America B
Vol. 15,
Issue 7,
pp. 2154-2160
(1998)
•https://doi.org/10.1364/JOSAB.15.002154

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Martin Liphardt and Stephen Ducharme, "Measurement of the photorefractive grating phase shift in a polymer by an ac phase-modulation technique," J. Opt. Soc. Am. B 15, 2154-2160 (1998)

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Abstract

The complex coupling constant of a photorefractive polymer was measured as a function of an applied electric field by use of a modified ac phase modulation technique. We determined that both a photorefractive index grating and a nonphotorefractive absorption grating were present. The electric field dependencies of the amplitude and the phase of the photorefractive gain coefficient were accurately described by standard photorefractive theory. The accuracy of the photorefractive phase shift as measured by this phase-modulation technique was $\pm 1 °$ near phase shifts of 90° and $\pm 3 °$ near phase shifts of 45°.

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Grating Type	$Γ_{R}$ (Real Part)		$Γ_{I}$ (Imaginary Part)
Grating Type	Index	Absorption	Index	Absorption
$Γ_{1}$	$+ n_{1} sin ϕ_{n}$	$- κ_{1} cos ϕ_{κ}$	$+ n_{1} cos ϕ_{n}$	$+ κ_{1} sin ϕ_{κ}$
$Γ_{2}$	$- n_{1} sin ϕ_{n}$	$- κ_{1} cos ϕ_{κ}$	$+ n_{1} cos ϕ_{n}$	$- κ_{1} sin ϕ_{κ}$

Coupling Constant	Contributions to $Γ_{R}$ (Real Part)	Contributions to $Γ_{I}$ (Imaginary Part)
$Γ_{+}$	$+ n_{PR} sin ϕ_{PR}$	$+ n_{PR} cos ϕ_{PR}$
	$- κ_{POP} cos ϕ_{POP}$	$+ κ_{POP} sin ϕ_{POP}$
	$- κ_{PC}$
$Γ_{-}$	$- n_{PR} sin ϕ_{PR}$	$+ n_{PR} cos ϕ_{PR}$
	$- κ_{POP} cos ϕ_{POP}$	$- κ_{POP} sin ϕ_{POP}$
	$- κ_{PC}$

Grating Type	$Γ_{R}$ (Real Part)		$Γ_{I}$ (Imaginary Part)
Grating Type	Index	Absorption	Index	Absorption
$Γ_{1}$	$+ n_{1} sin ϕ_{n}$	$- κ_{1} cos ϕ_{κ}$	$+ n_{1} cos ϕ_{n}$	$+ κ_{1} sin ϕ_{κ}$
$Γ_{2}$	$- n_{1} sin ϕ_{n}$	$- κ_{1} cos ϕ_{κ}$	$+ n_{1} cos ϕ_{n}$	$- κ_{1} sin ϕ_{κ}$

Coupling Constant	Contributions to $Γ_{R}$ (Real Part)	Contributions to $Γ_{I}$ (Imaginary Part)
$Γ_{+}$	$+ n_{PR} sin ϕ_{PR}$	$+ n_{PR} cos ϕ_{PR}$
	$- κ_{POP} cos ϕ_{POP}$	$+ κ_{POP} sin ϕ_{POP}$
	$- κ_{PC}$
$Γ_{-}$	$- n_{PR} sin ϕ_{PR}$	$+ n_{PR} cos ϕ_{PR}$
	$- κ_{POP} cos ϕ_{POP}$	$- κ_{POP} sin ϕ_{POP}$
	$- κ_{PC}$

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