William E. Douglas*a, Alexandar S. Kuzhelev†b, Irena V. Yurasovab, Oleg L. Antipovb, Larisa G. Klapshinac, Vladimir V. Semenovc, George A. Domrachevc, Tatiana I. Lopatinac and Daniel M. H. Guya
aCNRS UMR 5637, Université Montpellier II, 34095 Montpellier cedex 5, France. E-mail: douglas@univ-montp2.fr
bInstitute of Applied Physics, Russian Academy of Sciences, Uljanov Street 46, Nizhny Novgorod, 603600, Russia
cG. A. Razuvaev Institute of Metallo-organic Chemistry, Russian Academy of Sciences, Tropinin Street 49, GSP-445, Nizhny Novgorod, 603600, Russia
First published on 18th December 2001
The photorefractive properties of low glass transition temperature, Tg, composites based on oligomeric poly[ethynediyl-arylene-ethynediyl-silylene]s as optical chromophores, poly(9-vinylcarbazole) as photoconductor, N-ethylcarbazole and phenyltrimethoxysilane as plasticizer, and fullerenes as charge generators have been investigated. The nonlinear optical effects, including four-wave mixing and two-beam coupling were studied at 633 nm. The photorefractive origin of the refractive index changes was confirmed by the achievement of a two-beam gain as high as 67 cm−1 under an externally applied electric field (E0=16 V µm−1). Refractive index gratings affording two-beam gains up to 51 cm−1 can also be written under zero-field conditions. A possible explanation for this unique property of the materials is that chromophore orientation asymmetry can be induced by the longitudinal intensity gradient.
Scheme 1 |
We studied novel PR polymer nanocomposites containing as optical chromophores the Si-containing conjugated PEAES oligomers I–IV. C60 or the more readily soluble C70 fullerenes were used as charge generators, fullerenes being frequently employed for this purpose.2–4 We used the well known charge transport agent poly(9-vinylcarbazole) (PVK),4,12–16 and the plasticizer component was a mixture of N-ethylcarbazole (EK) and phenyltrimethoxysilane (PTMS). EK is a commonly-used efficient plasticizer in PR compositions giving rise to a large increase in the gain coefficient and the diffraction efficiency.17,18 PTMS is a reactive plasticizer that undergoes hydrolysis in the presence of moisture affording a polyorganosiloxane matrix for the photorefractive composition.
As required for acitivity as optical chromophores, the oligomers contain both donor (dimethylamino) and acceptor groups (I amide; II–IV nitro). We have previously reported a high hyperpolarizability χ(3) (giving rise to the electro-optic effect in isotropic materials) for I, both in solution as determined by the degenerate four-wave mixing technique,7 and in thin organic–inorganic hybrid films as measured by the Z-scan technique.19,20
Samples for the present studies were prepared by sandwiching a layer of composite material 50–250 µm in thickness between glass slides coated with transparent indium tin oxide electrodes. The glass transition temperature of the compositions was low (ca. 8°C as determined by differential scanning calorimetry) thus facilitating molecular reorientation. The electrical conductivity of the films decreased with drying time (Fig. 1) as the toluene solvent evaporated at ambient temperature in air and the sol–gel crosslinking reaction involving phenyltrimethoxysilane took place (for compositions see captions to Fig. 3–5 below). It should be noted that the samples exhibited low-voltage breakdown (at fields less than 10 V µm−1) after short drying times (less than 30 min). Therefore, the experiments were carried out on samples of low conductivity (less than 7 pS m−1 at E0=16 V µm−1). Oligomer I contains amide groups known to give rise to hybrid films of good optical quality.21 Films made from II–IV were also of satisfactory optical quality.
Fig. 1 The dependence of sample conductivity on the drying time, (•) measured at bias dc voltage 40 V; (■) measured at bias dc voltage 1.6 kV. Composite : PEAES(II) 5%, PVK 45%, C70 1%, EK 25%, PTMS 24%, sample thickness 100 µm. |
The refractive index grating formation was investigated in the PR composites using the four-wave mixing (FWM) technique (Fig. 2). The original Gaussian beam of a He–Ne laser (λ=633 nm) was split into two beams of equal intensities (Iw1=Iw2=0.5 W cm−2). These s-polarized beams wrote the holographic grating in the sample. The angle of incidence was 60° and the angle of intersection was 0.03 rad. The third wave with intensity Ir, obtained by reflecting the first writing wave backward from the mirror, read the grating. The wave diffracted on the grating Id was recorded. The diffraction efficiency of the grating was determined as:
(1) |
Fig. 2 The set-up for the FWM measurements. |
Measurements were made both under zero-field conditions and with a high bias voltage applied to the cell. In the first case, the diffraction efficiency achieved was 0.12% (Fig. 3(a)). The lifetime of the grating depended on the illumination. When only one writing beam (Iw2) was blocked, the grating lifetime was found to be ca. 20 min (Fig. 3(a)), whereas when all the beams were blocked, the grating lifetime became greater than 1 h [Fig. 3(b)] (D was registered by use of short pulses of Iw1 and Ir with time intervals of 2 min). Such behaviour of the grating lifetime can be explained by a resonant or PR origin of the grating. It should be noted that any possible contribution of the small scale grating written by reading beam Ir and writing beams Iw1,2 to the diffracted beam was negligible. This was verified by blocking the reading beam Ir and the writing beam Iw1. Under these conditions, no diffraction of the beam Iw2 to the beam Id was observed. Thus, the measured diffraction efficiency is related to the large scale grating.
Fig. 3 Diffraction efficiency of the grating (D=Id/Ir) as a function of time for two compositions consisting of PVK 45%, C70 1%, EK 25%, PTMS 24% and (A) PEAES(II) 5% or (B) PEAES(I) 5%. (a) t=t* corresponds to switching off the writing beam Iw2, E0=0, L=60 µm; (b) at time t=t*Iw1, Iw2 and Ir were switched off, D was registered by short pulses of Iw1 and Ir with time intervals of 2 min, E0=0, L=60 µm; (c) samples of composition (A) with higher conductivity 6 pS m−1 (△) and lower conductivity 3.5 pS m−1 (■); at time t=0 the electric field was switched on, at time t=t* the field was switched off, E0=15 V µm−1, L=60 µm, α=164 cm−1. |
The transmittance of the sample did not vary substantially during 2 h observation under illumination with beam intensity 1 W cm−2, so that
(2) |
(3) |
Next, in order to investigate whether the observed diffraction was of PR origin or the result of resonant refractive index changes (or possibly of some photochemical reaction), further study of its origin was made by using the two-beam coupling (TBC) technique. On application of a high bias voltage, providing an external electric field E0=16 V µm−1, a fivefold increase in the diffraction efficiency was observed (Fig. 3(c)). When the applied voltage was switched off, the diffraction efficiency relaxed to the initial level thus demonstrating the PR response of the composites under an applied external field.
The behaviour of samples of the same composition (made from II) but with different conductivities owing to different drying times were compared (Fig. 3(c)). The more conductive sample with a dark conductivity at E0=16 V µm−1 of ca. 6 pS m−1 showed a grating formation time of 20 min. The grating formation time increased to 100 min for the sample with lower conductivity (3.5 pS m−1 at E0=16 V µm−1) resulting from increased drying time. The dependence of the lifetime on the conductivity can be explained by the PR origin of the grating.23 The maximum value of D achieved was 5.5×10−3, which, from eqn. (3), corresponds to a magnitude for the PR refractive index grating of Δn=1.5×10−4.
It should be noted that when long term exposure (grating writing) was applied, formation of an amplitude transmittance grating was observed. The character time for the written grating was ca. 7 h, a steady state grating magnitude being achieved after 14 h exposure. The maximum diffraction efficiency measured for the amplitude grating was 2×10−2. There was no substantial decrease in the diffraction efficiency over 1 month under dark conditions. The formation of the amplitude grating may be the result of some intermolecular reaction such as the slow photoinduced radical crosslinking of the PEAES chromophore.
The PR nonlocal origin of the optical nonlinearities of the samples was verified by using a standard two-beam coupling (TBC) setup. The p-polarized pump and probe beams intersected in the sample at a variable angle in the range ca. 0.03–0.41 rad. The pump–to–probe ratio was β=Ipump/Iprobe=625. The two-beam coupling gain coefficient was determined from the expression:2
(4) |
A TBC gain was observed at zero bias field (Fig. 4). The magnitude of the TBC gain in the absence of an applied field depended on the grating spacing (Fig. 5). The TBC gain under zero-field conditions was found to be 90.5 cm−1 at a large angle of intersection. It can be seen that the optimal grating period is 2.75 µm. Such dependence is evidence for the PR origin of the grating.2
Fig. 4 Oscillograms of the probe beam for compositions containing PEAES 5%, fullerene 1%, PVK 45%, EK 25%, PTMS 24%. At time t=0 the pump beam (Ipump=0.2 W cm−2) and bias field (if applied) were switched on, the angle of beam intersection for all plots being 0.03 rad. (×) PEAES(I)/C60; Γ=7 cm−1, α=87 cm−1, E0=0, leff=70 µm. (△) PEAES(II)/C70; Γ=25 cm−1, α=194 cm−1, E0=0, leff=100 µm. (▽) PEAES(IV)/C70; Γ=51 cm−1, α=190 cm−1, E0=0, leff=90 µm. (⋄) PEAES(III)/C70; Γ=52 cm−1, α=194 cm−1, E0=16 V µm−1, leff=70 µm. (□) PEAES(I)/C60; Γ=67 cm−1, α=87 cm−1, E0=16 V µm−1, leff=70 µm. (○) PEAES(II)/C70; Γ=64 cm−1, α=194 cm−1, E0=16 V µm−1, leff=100 µm. |
Fig. 5 The magnitude of the TBC gain as a function of the grating period Λ. PEAES(IV) 5%, PVK 45%, C70 1%, EK 25%, PTMS 24%, α=190 cm−1, E0=0, L=60 µm. |
However, it is well known that according to PR theory an external electric field to remove inversion symmetry is necessary for PR effects in organic materials. TBC gain has been reported in some PR polymeric materials without an external field or mention of preliminary poling, but no explanation was given.24 More recently, a high TBC gain was observed for a polymeric material in the absence of poling or an external field and it was suggested that the effect was due to some kind of coupling between the space charge field grating and the orientational grating caused by trans–cis isomerization processes.25 However, the mechanism for such coupling between the two kinds of gratings is not yet clear and in our case no such trans–cis isomerization is possible.
A possible explanation follows from the fact that the presence of the internal polarization field due to a longitudinal intensity gradient can produce local poling. The longitudinal intensity gradient produces a charge displacement and hence a space-charge field in the same direction. This internal field could give rise to local poling of the oligomer, thus removing the inversion symmetry. Such an effect of breaking the symmetry by longitudinal field formation has been observed experimentally26 and explained theoretically27 in photorefractive liquid crystal composites. Indeed, the possibility of observing such an effect in PR polymeric materials was suggested.27
When an external voltage was applied, the probe beam was observed to increase in the presence of a pump beam and a bias field with definite direction (application of the opposite external voltage resulted in the absence of the weak increase in the probe beam) (Fig. 4).
The greatest TBC gain achieved at E0=16 V µm−1 was Γ=67 cm−1 for I, without any net gain due to the relatively high absorption coefficient, α=87 cm−1. Thus the PR nonlinearity is demonstrated by the presence of TBC with an external field. The achievement of a high net gain may be possible by applying a higher bias field, up to 100 V µm−1. Indeed, high values of net gain observed in PR organic materials normally require electric fields greater than 60 V µm−1.2
Direct measurements of the phase shift of the refractive index grating Φ from the light intensity pattern were carried out. As the grating was written, the sample was moved along the grating wave-vector (x-axis). The dependence of the probe beam power on the x-shift was studied (Fig. 6). A maximum in the TBC gain was observed at x=0 thus showing there to be a π/2 phase shift between the grating and the interference field. The relation between the probe beam gain Γ and the phase shift of the refractive index grating Φ is well known (Γ∼sin Φ). Thus the theoretical prediction of measured dependence γ(x) can be written as:
(6) |
Fig. 6 The dependence of the probe beam power on the x-shift of the sample PEAES(III) 5%, PVK 45%, C70 1%, EK 25%, PTMS 24%. (○) Experimental data and theoretical curve. |
The theoretical curve γ(x) eqn. (6), assuming Φ=π/2 is shown in Fig. 6. It can be seen that there is good agreement between theory and experiment thus proving the PR origin of the TBC gain.2
In the presence of an applied electric field, the TBC gain observed for II was greater than that for III (Fig. 4) suggesting that silicon hexacoordination rather than pentacoordination is more favourable to photorefraction. Finally, it should be noted that improved properties for compositions containing longer chain homologues of the oligomeric chromophores can be expected.28
In conclusion, the photorefractive properties of composites based on oligomeric PEAES as optical chromophores, poly(9-vinylcarbazole) as photoconductor, N-ethylcarbazole and phenyltrimethoxysilane as plasticizer, and fullerenes as charge generators have been investigated. The nonlinear optical effects, including four-wave mixing and two-beam coupling were studied at 633 nm. The photorefractive origin of the refractive index changes was confirmed by the achievement of a high two-beam gain under an externally applied electric field. Refractive index gratings affording two-beam gain can also be written under zero-field conditions. We suggest as a possible explanation for this unique property of the materials that chromophore orientation asymmetry can be induced by the longitudinal intensity gradient.
Footnote |
† Present address: Canadian Space Agency, Space Technologies, 6767 route de l'Aéroport, St-Hubert, Québec, Canada J3Y 8Y9. |
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