7.5 Light in a channel
L1 Narrative
To make a modulator small and fast, light must be confined to a channel a few micrometers across, right under the electrodes. In 1973 Bell Labs published “Thin-film LiNbO3 electro-optic light modulator” [Kaminow et al. 1973 rec]. The “thin film” was not a separate film. It was the crystal's own surface, heated until lithium oxide escaped; the lithium-poor skin has a higher extraordinary index and traps light [Carruthers et al. 1974 rec]. In 1974 titanium stripes diffused into the crystal gave the Ti:LN waveguide [Schmidt & Kaminow 1974 rec], the type used in the commercial modulators of 7.7; in 1982 an acid bath that swaps lithium for hydrogen gave another [Jackel et al. 1982 rec]. In 1985 Crystal Technology announced the first commercially available guided-wave modulator [Becker 1988 rec]. In 1989 a French team reported a neodymium-doped LN channel-waveguide laser [Lallier et al. 1989 rec]; in 1991 Paderborn reported an erbium-doped one at 1.532 µm [Brinkmann et al. 1991 rec].
| Exchanged depth d (d2 = r t) derived | 2.34 µm |
| Mode effective index (ne = 2.2022) | 2.3188 |
| Rate data range | inside |
- Exchanged depth
- 2.34 µm
- Mode effective index
- 2.3188
Mode intensity at 633 nm, normalized (red curve). Proton-exchange rates Jackel et al. 1982; no diffusion constants are held for Li₂O or Ti, so those show their sourced depths only (Carruthers et al. 1974, Schmidt & Kaminow 1974). Whether the reported rate is d2/t or D is not confirmed from the full text; depth here uses d2 = r t. Substrate ne = 2.2022 at 633 nm Zelmon et al. 1997.
What "thin film" meant: 1973 vs 2018
L1
In 1973 Bell Labs titled a paper “Thin-film LiNbO3 electro-optic light modulator” [Kaminow et al. 1973 rec]. The film was the crystal's own skin, made by baking out lithium oxide so the surface index rose [Carruthers et al. 1974 rec]. In 2018 “thin-film LN” meant a separate slice of crystal well under a micrometer thick (680 nm in the 2004 Zurich films [Rabiei & Gunter 2004 rec]), peeled from a wafer by ion implantation and bonded onto silicon dioxide (1998-2004 methods [Levy et al. 1998 rec; Rabiei & Gunter 2004 rec]). The same words describe guides about 18 times different in thickness and drive voltages about an order of magnitude apart (not normalized for length).
| 1973-1974 | 2004-2018 | |
| Guide | 12 µm | 0.68 µm |
| V(π) | ~24 V* | 1.4 V |
| BW | 3.2 GHz | N/A** |
Sources: Carruthers et al. 1974, Rabiei & Gunter 2004, Kaminow et al. 1973, Wang et al. 2018b. Index profile, rib, oxide, electrode gap and mode outlines (IR, false color) are schematic; the 12 µm and 0.68 µm are to scale. One device per value; not normalized for length.
L2
| 1973-1974 | 2004-2022 | |
|---|---|---|
| Guide | Li2O out-diffused skin in bulk LN; ne raised | Ion-sliced single-crystal film on SiO2 |
| Thickness | single-mode guide effective thickness 12 µm [Carruthers et al. 1974 rec] | 680 nm film [Rabiei & Gunter 2004 rec] |
| Ratio | about 18x (derived, 12 µm / 0.68 µm) | |
| Voltage | 0.13 rad/V, so about 24 V for π (derived; length not given) [Kaminow et al. 1973 rec] | Vπ 1.4 V at 20 mm [Wang et al. 2018b rec] |
| Bandwidth | 3.2 GHz, 50 ohm load [Kaminow et al. 1973 rec] | > 106 GHz 3 dB electrical (bonded hybrid) [Weigel et al. 2018 rec]; 110 GHz [Xu et al. 2022 rec] |
| Loss | N/A (not reported in the abstract) | < 0.5 dB on-chip [Wang et al. 2018b rec] |
Note: the 12 µm figure is from the 1974 kinetics paper by the same group, not the 1973 device; the 24 V figure has no length normalization. Both comparisons are order-of-magnitude.
L3
LNOI dates from 1998 (ion slicing) and 2004 (bonded sub-micrometer films), not from 2018 [Levy et al. 1998 rec; Rabiei & Gunter 2004 rec]. The 1973 guide is the same Li out-diffusion that chapter 04 treats as a fabrication hazard [Carruthers et al. 1974 rec].
L2 Numbers and mechanisms
Out-diffusion (1973-1974). Kaminow et al.: “An out-diffused planar optical waveguide in LiNbO3 has been used to produce an efficient broad-band electro-optic phase modulator”; modulation index per volt 0.13 V−1, base bandwidth 3.2 GHz with a 50 ohm load, 0.2 mW/MHz for 1 rad [Kaminow et al. 1973 rec]. Derived: the voltage for π phase is π / 0.13 V−1, about 24 V, for a device whose length the abstract does not give. Carruthers, Kaminow and Stulz: out-diffusion of Li2O raises ne enough for single- and multimode guides; diffusion activation energy in LiNbO3 68 ± 1.2 kcal/mol; a single-mode guide with effective thickness 12 µm [Carruthers et al. 1974 rec].
Ti in-diffusion (1974). Ti, V and Ni films diffused into LiNbO3 give low-loss TE and TM guides; Ti gives single-mode guides confining light within about 1 µm of the surface, with diffusion parameters controlling the waveguide independently [Schmidt & Kaminow 1974 rec].
Epitaxial films (1974). Tien, Riva-Sanseverino and Ballman deflected a beam up to 4 degrees in an epitaxial LiNbO3 film waveguide [Tien et al. 1974 rec].
Proton exchange (1982). Benzoic acid melt at 200-250 C; step index increase 0.12 for extraordinary polarization only; diffusion 1.37 µm2/h at 249 C and 0.37 µm2/h at 217 C on x-cut; losses < 0.5 dB/cm at 633 nm; damages y-cut surfaces [Jackel et al. 1982 rec].
Products and lasers. Becker (1988): active guided-wave devices reported since about 1975, mostly Ti:LiNbO3; in 1985 Crystal Technology announced “the first commercially available product - a high-speed, efficient, intensity modulator” [Becker 1988 rec]. Alferness reviewed waveguide EO modulators in 1982 [Alferness 1982 rec]. Paderborn implanted erbium into LN waveguides (1990) [Brinkmann et al. 1990 rec] and reported what the authors called “the first integrated optical laser in LiNbO3” (a Nd:MgO:LiNbO3 channel-waveguide laser had been published in 1989-10 [Lallier et al. 1989 rec]; D13): Er3+ in-diffused, Ti channel guide, colour-centre pump at 1.477 µm, CW at 1.532 µm, threshold about 8 mW absorbed [Brinkmann et al. 1991 rec].
L3 Sources and status
| Claim | Source | Status |
|---|---|---|
| 1973 “thin film” is an out-diffused guide in bulk LN; 0.13 V−1; 3.2 GHz | Kaminow et al. 1973 abstract (Crossref) | rec |
| Li2O out-diffusion raises ne; 12 µm single-mode guide | Carruthers et al. 1974 abstract | rec |
| Ti guides within ~1 µm of surface | Schmidt & Kaminow 1974 abstract | rec |
| Proton exchange Δ ne = 0.12 | Jackel et al. 1982 abstract | rec |
| First commercial guided-wave modulator 1985 | Becker 1988 abstract (single source) | rec |
| Nd:MgO:LN channel-waveguide laser 1989; Er:Ti:LN waveguide laser 1991 (“first” is the 1991 authors' claim) | Lallier et al. 1989 (Crossref), Brinkmann et al. 1991 abstract | V; D13 |
References
- Kaminow et al., Applied Physics Letters 22 540-542 (1973). Thin-film LiNbO3 electro-optic light modulator. Issued 1973-05-15. doi:10.1063/1.1654500
- Carruthers et al., Applied Optics 13 2333 (1974). Diffusion Kinetics and Optical Waveguiding Properties of Outdiffused Layers in Lithium Niobate and Lithium Tantalate. Issued 1974-10-01. doi:10.1364/ao.13.002333
- Schmidt & Kaminow, Applied Physics Letters 25 458-460 (1974). Metal-diffused optical waveguides in LiNbO3. Issued 1974-10-15. doi:10.1063/1.1655547
- Jackel et al., Applied Physics Letters 41 607-608 (1982). Proton exchange for high-index waveguides in LiNbO3. Issued 1982-10-01. doi:10.1063/1.93615
- R.A. Becker, MRS Bulletin 13 21-23 (1988). Optical-Guided-Wave Modulators. Issued 1988-08. doi:10.1557/s0883769400064630
- E. Lallier et al., Electronics Letters 25 1491-1492 (1989). Laser oscillation of single-mode channel waveguide in Nd:MgO:LiNbO3. Issued 1989-10-26. doi:10.1049/el:19891000
- R. Brinkmann et al., Electronics Letters 27 415-417 (1991). Continuous-wave erbium-diffused LiNbO 3 waveguide laser. Issued 1991-02-28. doi:10.1049/el:19910263
- P. K. Tien et al., Applied Physics Letters 25 563-565 (1974). Light beam scanning and deflection in epitaxial LiNbO3 electro-optic waveguides. Issued 1974-11-15. doi:10.1063/1.1655311
- Alferness, IEEE Transactions on Microwave Theory and Techniques 30 1121-1137 (1982). Waveguide Electrooptic Modulators. Issued 1982-08. doi:10.1109/tmtt.1982.1131213
- R. Brinkmann et al., Integrated Photonics Research PD1 (1990). Annealed Erbium-implanted single-mode LiNbO3 waveguides. Issued 1990. doi:10.1364/ipr.1990.pd1
- Rabiei & Gunter, Applied Physics Letters 85 4603-4605 (2004). Optical and electro-optical properties of submicrometer lithium niobate slab waveguides prepared by crystal ion slicing and wafer bonding. Issued 2004-11-15. doi:10.1063/1.1819527
- Levy et al., Applied Physics Letters 73 2293-2295 (1998). Fabrication of single-crystal lithium niobate films by crystal ion slicing. Issued 1998-10-19. doi:10.1063/1.121801
- Wang et al., Nature 562 101-104 (2018). Integrated lithium niobate electro-optic modulators operating at CMOS-compatible voltages. Issued 2018-09-24. doi:10.1038/s41586-018-0551-y
- Peter O. Weigel et al., Optics Express 26 23728 (2018). Bonded thin film lithium niobate modulator on a silicon photonics platform exceeding 100 GHz 3-dB electrical modulation bandwidth. Issued 2018-09-03. doi:10.1364/oe.26.023728
- Mengyue Xu et al., Optica 9 61 (2022). Dual-polarization thin-film lithium niobate in-phase quadrature modulators for terabit-per-second transmission. Issued 2022-01-20. doi:10.1364/optica.449691
- Zelmon et al., Journal of the Optical Society of America B 14 3319 (1997). Infrared corrected Sellmeier coefficients for congruently grown lithium niobate and 5 mol% magnesium oxide-doped lithium niobate. Issued 1997-12-01. doi:10.1364/JOSAB.14.003319
Events of 7.5
| Date | Event | Who | Ref | St |
|---|---|---|---|---|
| 1973-05-15 | 'Thin-film LiNbO3 electro-optic light modulator': an out-diffused planar guide in bulk LN, 3.2 GHz | I. P. Kaminow, J. R. Carruthers +2 | DOI | rec |
| 1974-10-01 | Diffusion kinetics of Li2O out-diffused waveguides in LiNbO3 and LiTaO3 | J. R. Carruthers, I. P. Kaminow +1 | DOI | rec |
| 1974-10-15 | Metal (Ti) in-diffused optical waveguides in LiNbO3 | R. V. Schmidt, I. P. Kaminow | DOI | rec |
| 1974-11-15 | Beam scanning in epitaxial LiNbO3 film waveguides | P. K. Tien, S. Riva-Sanseverino +1 | DOI | rec |
| 1982-08 | Waveguide electro-optic modulators (review) | R. C. Alferness | DOI | rec |
| 1982-10-01 | Proton exchange in benzoic acid for high-index LiNbO3 waveguides | J. L. Jackel, C. E. Rice +1 | DOI | rec |
| 1985 | First commercially available guided-wave modulator (high-speed intensity modulator) | DOI | rec | |
| 1989-03-13 | Photorefraction in Ti:LiNbO3 waveguides studied at Sumitomo Metal Mining | T. Fujiwara, S. Sato +1 | DOI | rec |
| 1989-10-26 | Laser oscillation in a single-mode Nd:MgO:LiNbO3 channel waveguide | E. Lallier, J. P. Pocholle +7 | DOI | rec |
| 1990 | Annealed erbium-implanted single-mode LiNbO3 waveguides (postdeadline) | R. Brinkmann, Ch. Buchal +3 | DOI | rec |
| 1991-02-28 | Er-doped Ti:LiNbO3 waveguide laser at 1.532 µm ('first integrated optical laser in LiNbO3' per the authors) | R. Brinkmann, W. Sohler +1 | DOI | rec |