Barium Titanate and Lithium Niobate Permittivity and Pockels Coefficients from Megahertz to Sub-Terahertz Frequencies
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The Pockels effect is essential for controlling optical signals at the highest speeds, particularly for electro-optic modulators in photonic integrated circuits. Lithium niobate (LN) and barium titanate (BTO) are two excellent Pockels materials to this end. Here we measure the Pockels coefficients and permittivity in LN and BTO over a continuous frequency range from 100 MHz to 330 GHz. These properties are constant across this frequency range in LN, but have a strong frequency dependence in BTO. Still, our measurements show that BTO has remarkable electro-optic properties compared with LN. Furthermore, we show how BTO devices can be designed with a flat electro-optic frequency response despite the Pockels coefficient dispersion. Finally, we expound our method for broadband characterization of these vital electro-optic properties, utilizing specialized integrated electro-optic phase shifters. Altogether, this work empowers the design of high-speed BTO devices and the development of new electro-optic materials.
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Stoichiometric complex oxide thin films promise ultrafast light control and massive optical parallelism, which classical electronic systems cannot achieve.
“Current trends in the field of photonics regarding the transition from bulk crystalbased devices to photonic integrated circuits (PICs), and, more specifically, to nonlinear integrated photonics, propel the utilisation of thin films based on stoichiometric complex oxides (such as lithium niobate, lithium tantalate, and barium titanate) since they simultaneously promise both ultrafast light control”
From Metal Oxide Thin Films for Advanced Photonic Applications (2026) · cites this paper as [164]
The Device for EO characterization section describes lithium-niobate and barium-titanate thin-film phase shifters that provide useful modulation at very short lengths, with bandwidth limits pushed into the hundreds of gigahertz. This supports the high-speed light-control part of the claim, but the cited paper does not establish massive optical parallelism, an inability of classical electronic systems to achieve it, or the same promise for lithium tantalate. No page numbers are provided in our copy. (LLM, conf=0.85)
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Cites
Integrated lithium niobate electro-optic modulators operating at CMOS-compatible voltages
Wang, C., Zhang, M., Chen, X., Bertrand, M., Shams-Ansari, A., Chandrasekhar, S., Winzer, P., & Lončar, M. (2018) · Nature · doi:10.1038/s41586-018-0551-y · Cited by 2,593 · see citing works
Integrated photonic quantum technologies
Wang, J., Sciarrino, F., Laing, A., & Thompson, M. G. (2020) · Nature Photonics · doi:10.1038/s41566-019-0532-1 · Cited by 1,576 · see citing works
Programmable photonic circuits
Bogaerts, W., Pérez, D., Capmany, J., Miller, D. A. B., Poon, J. K. S., Englund, D., Morichetti, F., & Melloni, A. I. (2020) · Nature · doi:10.1038/s41586-020-2764-0 · Cited by 1,420 · see citing works
OPTICAL SECOND HARMONIC GENERATION IN PIEZOELECTRIC CRYSTALS
Miller, R. C. (1964) · Applied Physics Letters · doi:10.1063/1.1754022 · Cited by 979 · see citing works
Large Pockels effect in micro- and nanostructured barium titanate integrated on silicon
Abel, S., Eltes, F., Ortmann, J. E., Messner, A., Castera, P., Wagner, T., Urbonas, D., Rosa, A., Gutierrez, A. M., Tulli, D., et al. (2019) · Nature Materials · doi:10.1038/s41563-018-0208-0 · Cited by 554 · see citing works
Self-citationDielectric, elastic, piezoelectric, electro-optic, and elasto-optic tensors of BaTiO 3 crystals
Zgonik, M., Bernasconi, P. G., Duelli, M., SCHLESSER, R., Günter, P., Garrett, M. H., Rytz, D., Zhu, Y., & Wu, X. (1994) · Physical review. B, Condensed matter · doi:10.1103/physrevb.50.5941 · Cited by 553 · see citing works
Ferroelectricity, Domain Structure, and Phase Transitions of Barium Titanate
von Hippel, A. (1950) · Reviews of Modern Physics · doi:10.1103/revmodphys.22.221 · Cited by 534 · see citing works
Xu, M., Zhu, Y., Pittalà, F., Tang, J., He, M., Ng, W. C., Wang, J., Ruan, Z., Tang, X., Kuschnerov, M., et al. (2021) · Optica · doi:10.1364/optica.449691 · Cited by 366 · see citing works
The effect of grain and particle size on the microwave properties of barium titanate (BaTiO3)
McNeal, M. P., Jang, S.-J., & Newnham, R. E. (1998) · Journal of Applied Physics · doi:10.1063/1.367097 · Cited by 286 · see citing works
High-Speed Silicon Photonics Modulators
Witzens, J. (2018) · Proceedings of the IEEE · doi:10.1109/jproc.2018.2877636 · Cited by 266 · see citing works
Ferroelectric lithium niobate. 2. Preparation of single domain crystals
NASSAU, K., Levinstein, H. J., & Loiacono, G. M. (1966) · Journal of Physics and Chemistry of Solids · doi:10.1016/0022-3697(66)90071-0 · Cited by 236 · see citing works
Microwave-optical quantum frequency conversion
Han, X., Fu, W., Zou, C., Jiang, L., & Tang, H. X. (2021) · Optica · doi:10.1364/optica.425414 · Cited by 226 · see citing works
Spatially entangled photon pairs from lithium niobate nonlocal metasurfaces
Zhang, J., Ma, J., Parry, M., Cai, M., Camacho-Morales, R., Xu, L., Neshev, D. N., & Sukhorukov, A. A. (2022) · Science Advances · doi:10.1126/sciadv.abq4240 · Cited by 195 · see citing works
High-speed electrooptic modulator characterization using optical spectrum analysis
Shi, Y., Yan, L., & Willner, A. E. (2003) · Journal of Lightwave Technology · doi:10.1109/jlt.2003.818162 · Cited by 178 · see citing works
Material tensor parameters of LiNbO 3 relevant for electro- and elasto-optics
Jazbinšek, M., & Zgonik, M. (2002) · Applied Physics B · doi:10.1007/s003400200818 · Cited by 161 · see citing works
Giant nonlinear response at a plasmonic nanofocus drives efficient four-wave mixing
Nielsen, M. P., Shi, X., Dichtl, P. M., et al. (2017) · Science · doi:10.1126/science.aao1467 · Cited by 153 · see citing works
A ferroelectric multilevel non-volatile photonic phase shifter
Geler-Kremer, J., Eltes, F., Stark, P., Stark, D., Caimi, D., Siegwart, H., Offrein, B. J., Fompeyrine, J., & Abel, S. (2022) · Nature Photonics · doi:10.1038/s41566-022-01003-0 · Cited by 144 · see citing works
Ultrawide range dielectric spectroscopy of BaTiO3-based perovskite dielectrics
Tsurumi, T., Li, J., Hoshina, T., et al. (2007) · Applied Physics Letters · doi:10.1063/1.2804570 · Cited by 140 · see citing works
Polar relaxation mode in pure and iron-doped barium titanate
Maglione, M., Böhmer, R., Loidl, A., et al. (1989) · Physical review. B, Condensed matter · doi:10.1103/physrevb.40.11441 · Cited by 137 · see citing works
A cryogenic electro-optic interconnect for superconducting devices
Youssefi, A., Shomroni, I., Joshi, Y. J., Bernier, N., Lukashchuk, A., Uhrich, P., Qiu, L., & Kippenberg, T. J. (2021) · Nature Electronics · doi:10.1038/s41928-021-00570-4 · Cited by 124 · see citing works
Low-Loss BaTiO<sub>3</sub>–Si Waveguides for Nonlinear Integrated Photonics
Eltes, F., Caimi, D., Fallegger, F., Sousa, M., O’Connor, E., Rossell, M. D., Offrein, B., Fompeyrine, J., & Abel, S. (2016) · ACS Photonics · doi:10.1021/acsphotonics.6b00350 · Cited by 122 · see citing works
Resonant plasmonic micro-racetrack modulators with high bandwidth and high temperature tolerance
Eppenberger, M., Messner, A., Bitachon, B. I., Heni, W., Blatter, T., Habegger, P., Destraz, M., Leo, E. D., Meier, N., Medico, N. D., et al. (2023) · Nature Photonics · doi:10.1038/s41566-023-01161-9 · Cited by 97 · see citing works
Self-citationBernasconi, P. G., Zgonik, M., & Günter, P. (1995) · Journal of Applied Physics · doi:10.1063/1.360126 · Cited by 93 · see citing works
Klopfer, E., Dagli, S., Barton, D. R., Lawrence, M., & Dionne, J. A. (2022) · Nano Letters · doi:10.1021/acs.nanolett.1c04723 · Cited by 89 · see citing works
Plasmonic Ferroelectric Modulators
Messner, A., Eltes, F., Ma, P., Abel, S., Baeuerle, B., Josten, A., Heni, W., Caimi, D., Fompeyrine, J., & Leuthold, J. (2018) · Journal of Lightwave Technology · doi:10.1109/jlt.2018.2881332 · Cited by 85 · see citing works
Self-citationPosadas, A. B., Park, H., Reynaud, M., Cao, W., Reynolds, J. D., Guo, W., Jeyaselvan, V., Beskin, I., Mashanovich, G. Z., Warner, J. H., et al. (2021) · ACS Applied Materials & Interfaces · doi:10.1021/acsami.1c14048 · Cited by 75 · see citing works
High frequency dielectric relaxation in BaTio3derived materials
Kazaoui, S., Ravez, J., Elissalde, C., et al. (1992) · Ferroelectrics · doi:10.1080/00150199208230015 · Cited by 73 · see citing works
Elastic and Dielectric Properties of LiNbO3
Tomeno, I., & Matsumura, S. (1987) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.56.163 · Cited by 68 · see citing works
Relative dielectric constant of epitaxial BaTiO3 thin films in the GHz frequency range
Hamano, T., Towner, D. J., & Wessels, B. W. (2003) · Applied Physics Letters · doi:10.1063/1.1635967 · Cited by 55 · see citing works
Barium titanate (BaTiO_3) RF characterization for application in electro-optic modulators
Rosa, Á., Tulli, D., Castera, P., Gutierrez, A. M., Griol, A., Baquero, M., Vilquin, B., Eltes, F., Abel, S., Fompeyrine, J., et al. (2017) · Optical Materials Express · doi:10.1364/ome.7.004328 · Cited by 47 · see citing works
Plasmonic, photonic, or hybrid? Reviewing waveguide geometries for electro-optic modulators
Messner, A., Moor, D., Chelladurai, D., Svoboda, R., Smajić, J., & Leuthold, J. (2023) · APL Photonics · doi:10.1063/5.0159166 · Cited by 45 · see citing works
Self-citationElectro-Optical Modulation Based on Pockels Effect in BaTiO3With a Multi-Domain Structure
Castera, P., Gutierrez, A. M., Tulli, D., Cueff, S., Orobtchouk, R., Romeo, P. R., Saint‐Girons, G., & Sanchis, P. (2016) · IEEE Photonics Technology Letters · doi:10.1109/lpt.2016.2522509 · Cited by 42 · see citing works
Plasmonic Ferroelectric Modulator Monolithically Integrated on SiN for 216 GBd Data Transmission
Kohli, M., Chelladurai, D., Messner, A., Horst, Y., Moor, D., Winiger, J., Blatter, T., Buriakova, T., Convertino, C., Eltes, F., et al. (2023) · Journal of Lightwave Technology · doi:10.1109/jlt.2023.3260064 · Cited by 42 · see citing works
Self-citationSilicon-based metal-loaded plasmonic waveguides for low-loss nanofocusing
Lafone, L., Sidiropoulos, T. P. H., & Oulton, R. F. (2014) · Optics Letters · doi:10.1364/ol.39.004356 · Cited by 41 · see citing works
Edmondson, B. I., Kwon, S., Lam, C. H., Ortmann, J. E., Demkov, A. A., Kim, M. J., & Ekerdt, J. G. (2019) · Journal of the American Ceramic Society · doi:10.1111/jace.16815 · Cited by 40 · see citing works
Dielectric constant and loss tangent in LiNbO3 crystals from 90 to 147 GHz
Lee, M. (2001) · Applied Physics Letters · doi:10.1063/1.1399305 · Cited by 36 · see citing works
Indications of Two Separate Relaxators in the Subphonon Region of Tetragonal BaTiO 3
Laabidi, K., Fontana, M. D., Maglione, M., et al. (1994) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/26/4/012 · Cited by 35 · see citing works
FIR and near-millimetre dielectric response of SrTiO3, BaTiO3 and BST films and ceramics
Petzelt, J., Ostapchuk, T., Pashkin, A., et al. (2003) · Journal of the European Ceramic Society · doi:10.1016/s0955-2219(03)00190-0 · Cited by 32 · see citing works
Dielectric Properties of LiNbO3 Single Crystal up to 9 Gc
Ohmachi, Y., Sawamoto, K., & Toyoda, H. (1967) · Japanese Journal of Applied Physics · doi:10.1143/jjap.6.1467 · Cited by 31 · see citing works
Anisotropic Permittivity of Tetragonal BaTiO3: A First-Principles Study
Moriwake, H., Fisher, C. A. J., Kuwabara, A., et al. (2011) · Japanese Journal of Applied Physics · doi:10.1143/jjap.50.09ne02 · Cited by 25 · see citing works
Millimeter-wave dielectric properties of single-crystal ferroelectric and dielectric materials
McCloy, J. S., Korolev, K. A., Li, Z., Afsar, M. N., & Sundaram, S. K. (2011) · IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control · doi:10.1109/tuffc.2011.1770 · Cited by 23 · see citing works
Broadband microwave dielectric properties of lithium niobate
Robertson, W. M., Arjavalingam, G., & Kopcsay, G. V. (1991) · Electronics Letters · doi:10.1049/el:19910112 · Cited by 20 · see citing works
High-frequency dielectric measurements on electro-optic single crystals
Teague, J. R., Rice, R., & Gerson, R. (1975) · Journal of Applied Physics · doi:10.1063/1.322031 · Cited by 20 · see citing works
RF-sputtered Z-cut electro-optic barium titanate modulator on silicon photonic platform
Posadas, A. B., Stenger, V. E., DeFouw, J. D., Warner, J. H., & Demkov, A. A. (2023) · Journal of Applied Physics · doi:10.1063/5.0160186 · Cited by 20 · see citing works
Picavet, E., Lievens, E., Geest, K. D., Rijckaert, H., Gutiérrez‐Fernández, E., Bikondoa, O., Solano, E., Paturi, P., Singh, N., Pannier, T., et al. (2024) · Advanced Functional Materials · doi:10.1002/adfm.202403024 · Cited by 19 · see citing works
Influence of 180° domains on ferroelectric properties of BaTiO3 single crystal
Nakao, O., Tomomatsu, K., Ajimura, S., et al. (1992) · Applied Physics Letters · doi:10.1063/1.108412 · Cited by 17 · see citing works
Phase shifting at 94 GHz using the electro-optic effect in bulk crystals
Klein, M. B. (1981) · International Journal of Infrared and Millimeter Waves · doi:10.1007/bf01007032 · Cited by 12 · see citing works
Ahn, B. H. (1983) · Journal of Applied Physics · doi:10.1063/1.332232 · Cited by 8 · see citing works
Ferroelectric soft mode and microwave dielectric relaxation in BaTiO3−PbMg1/3Nb2/3O3 ceramics
Bovtun, V., Nuzhnyy, D., Kempa, M., et al. (2021) · Physical Review Materials · doi:10.1103/physrevmaterials.5.014404 · Cited by 8 · see citing works
>150 GHz Hybrid-Plasmonic BaTiO3-On-SOI Modulator for CMOS Foundry Integration
Moor, D., Winiger, J., Ma, P., Messner, A., Bitachon, B. I., Abel, S., Eltes, F., Fompeyrine, J., & Leuthold, J. (2021) · Frontiers in Optics · doi:10.1364/fio.2021.fth4d.2 · Cited by 6 · see citing works
Self-citationComplex dispersion relation of phonon‐polariton in stoichiometric LiNbO 3
Kojima, S., Kitahara, H., Nishizawa, S., et al. (2004) · Physica status solidi. C, Conferences and critical reviews/Physica status solidi. C, Current topics in solid state physics · doi:10.1002/pssc.200405360 · Cited by 5 · see citing works
200 Gbit/s Barium Titanate Modulator Using Weakly Guided Plasmonic Modes
Chelladurai, D., Kohli, M., Bitachon, B. I., Kulmer, L., Blatter, T., Moor, D., Winiger, J., Messner, A., Convertino, C., Eltes, F., et al. (2023) · Optical Fiber Communication Conference · doi:10.1364/ofc.2023.tu3c.3 · Cited by 3 · see citing works
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Research works printed but not linked: 2
- [28]Powles, J. G. & Jackson, W. The measurement of the dielectric properties of high-permittivity materials at centimetre wavelengths. Proc. IEE III 96, 383–389 (1949).
- [47]Boyd, R. W. Nonlinear Optics (Elsevier, 2008).
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Metal Oxide Thin Films for Advanced Photonic Applications
Stîngescu, M.-L., Șopronyi, M.-A., Antohe, Ș., & Scărișoreanu, N.-D. (2026) · Crystals · doi:10.3390/cryst16030164 · Cited by 2 · see citing works
- Authors
- Chelladurai, D., Kohli, M., Winiger, J., Moor, D., Messner, A., Fedoryshyn, Y., Eleraky, M., Liu, Y., Wang, H., & Leuthold, J.
- Affiliations
- ETH Zurich (CH)
- Corresponding author
- Chelladurai, Daniel
- ORCID
- Venue
- Nature Materials
- Published
- 2025-03-17
- Volume
- 24
- Issue
- 6
- Pages
- 868-875
- ISSN
- 1476-1122 (ISSN-L)
- 1476-4660
- PMC
- PMC12133585
- OpenAlex
- W4408502001
- Cited by
- 73
- References
- 52
- Citations by year
- 2026: 49 · 2025: 24
- FWCI
- 26.52
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Locations
- Nature Materials (publishedVersion, cc-by)
- PubMed Central (publishedVersion, other-oa)
- Europe PMC (PubMed Central) (publishedVersion, cc-by)
- PubMed (publishedVersion)
- Repository for Publications and Research Data (ETH Zurich) (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- Figshare (submittedVersion, public-domain)
- arXiv (Cornell University)
- ETH Zürich Research Collection (cc-by)
- Funders
- EC | Horizon 2020 Framework Programme (871658, 871391)
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (208094)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Photorefractive and Nonlinear Optics
- Physical Sciences › Materials Science › Materials Chemistry › Ferroelectric and Piezoelectric Materials
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Optical and Acousto-Optic Technologies
- Keywords
- barium titanate, lithium niobate, Pockels effect, electro-optic modulator, dielectric constant, broadband characterization, electro-optic phase shifters, sub-terahertz frequencies, photonic integrated circuits
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