7.6 Taming the crystal
L1 Narrative
Two problems limited lithium niobate as a nonlinear crystal: high-power light induced index changes (optical damage), and second-harmonic phase matching held only at one angle and temperature. The responses changed the crystal itself: dopants and composition for the first, domain patterns for the second.
The damage: in 1980 a Chinese group reported that about 4.6 mol% magnesium raises the damage resistance of LiNbO3 at least a hundredfold [Eleventh International Quantum 1980 P; Zheng et al. 2016 P]; a US team confirmed it in 1984 (their abstract opens “We have confirmed”) and traced it to a hundredfold rise in photoconductivity [Bryan et al. 1984 rec]. Zinc (1990) and indium (1992) followed from Moscow [Volk et al. 1990 rec; Volk & Rubinina 1992 rec]. Growing crystals with the full share of lithium also helped: by vapor treatment of fibers at Stanford (1987) [Luh et al. 1987 rec] and by a double crucible (Kitamura et al., 1992) [Kitamura et al. 1992 rec].
The colors: in 1962 Armstrong, Bloembergen, Ducuing and Pershan proposed flipping the crystal's nonlinearity every coherence length so that converted light keeps adding up [Armstrong et al. 1962 rec]. Electric-field poling of LN came 31 years later [Yamada et al. 1993 rec]. Story: The stripes.
The stripes
L1
Light at one color and its double travel at different speeds in a crystal, so the converted light builds up and then cancels every few micrometers. In 1962 Armstrong, Bloembergen, Ducuing and Pershan proposed reversing the crystal's nonlinearity at each of those points [Armstrong et al. 1962 rec]. In 1980 Feng Duan's group at Nanjing grew lithium niobate with such stripes built in [Feng et al. 1980 rec]. In 1989-1990 Stanford put stripes into waveguides and fibers [Lim et al. 1989a rec; Magel et al. 1990 rec]. In 1993 Sony engineers wrote them by applying an external field at room temperature [Yamada et al. 1993 rec]. In 1995 Stanford built PPLN OPOs tunable from 1.4 to 4 µm [Myers et al. 1995a rec; Myers et al. 1995b rec], and in 2018 the stripes moved onto chips [Wang et al. 2018c rec].
++++|----|++++|----|++++|----|++++|----|++++|----|++++|----|++++|----|++++|----
| First-order period Λ = 2 lc derived | 6.818 µm |
| SH power after N lc / after 1 lc | 144 |
| Row | Armstrong et al. 1962 VFeng et al. 1980 VYING-HUA et al. 1983 VLim et al. 1989a VMagel et al. 1990 VFejer et al. 1992 VYamada et al. 1993 VMyers et al. 1995a VZhu et al. 1997 VNishida et al. 2003 VWang et al. 2018c VLu et al. 2019 V |
Periodic reversal proposed
Armstrong et al. 1962
Czochralski-grown periodic laminar domains, half-period near lc
QPM for d33 approximately realized Feng et al. 1980
Order-of-magnitude enhancement
SH power proportional to N2, N up to 200 YING-HUA et al. 1983
Planar periodically poled waveguide, 532 nm
5%/W cm2, CW, room temperature Lim et al. 1989a
Laser-heated pedestal growth, 1 µm domains
407 nm, > 230 domains effective Magel et al. 1990
Tuning and tolerances
Fejer et al. 1992
Field poling at room temperature
20.7 mW blue; 600%/W cm2 Yamada et al. 1993
Bulk PPLN OPO
Λ = 31 µm Myers et al. 1995a
Quasi-periodic superlattice THG (LiTaO3)
Zhu et al. 1997
Direct-bonded QPM ridge
44%/W Nishida et al. 2003
Nanophotonic PPLN
Λ = 4 µm, 2600%/W cm2 Wang et al. 2018c
PP-TFLN microring
250,000%/W Lu et al. 2019
- Period Λ (derived)
- 6.818 µm
- SH power / 1 lc
- 144
Undepleted pump, ideal 50% duty cycle; stage drawings are schematic. Period: Zelmon 1997 congruent LN, 21 °C Zelmon et al. 1997.
L2
| Year | Step | Numbers | Source |
|---|---|---|---|
| 1962 | Periodic reversal proposed | - | [Armstrong et al. 1962 rec] |
| 1980 | Czochralski-grown periodic laminar domains, half-period near lc; QPM for d33 approximately realized | [Feng et al. 1980 rec] | |
| 1983 | Order-of-magnitude enhancement; SH power proportional to N2, N up to 200 | [YING-HUA et al. 1983 rec] | |
| 1989 | Planar PP waveguide, 532 nm, 5%/W cm2, CW, room temperature | [Lim et al. 1989a rec] | |
| 1990 | Laser-heated pedestal growth, 1 µm domains, 407 nm, > 230 domains effective | [Magel et al. 1990 rec] | |
| 1992 | Tuning and tolerances | [Fejer et al. 1992 rec] | |
| 1993 | Field poling at room temperature; 20.7 mW blue; 600%/W cm2 | [Yamada et al. 1993 rec] | |
| 1995 | Bulk PPLN OPO, Λ = 31 µm | [Myers et al. 1995a rec] | |
| 1997 | Quasi-periodic superlattice THG (LiTaO3) | [Zhu et al. 1997 rec] | |
| 2003 | Direct-bonded QPM ridge, 44%/W | [Nishida et al. 2003 rec] | |
| 2018 | Nanophotonic PPLN, Λ = 4 µm, 2600%/W cm2 | [Wang et al. 2018c rec] | |
| 2019 | PP-TFLN microring, 250,000%/W | [Lu et al. 2019 rec] |
Normalized efficiencies have different units (%/W cm2 for waveguides, %/W for resonators) and are not comparable across rows.
L3
The 1980 abstract says only “Czochralski method”; the striation mechanism (rotation off the thermal axis) is the usual secondary account and is not stated in the abstract (P). The 1990 Stanford bulk work used growth, not electric poling; “periodically poled” in its title means periodic domains, however made.
L2 Numbers and mechanisms
MgO. The 1980 IQEC abstract (Zhong, Jin, Wu) is cited by Nankai authors for a doping threshold of 4.6 mol% Mg giving at least two orders of magnitude higher damage resistance than congruent LN [Zheng et al. 2016 P]. Zhong's 1983 paper (Southwest Institute of Technical Physics, Chengdu) reports growth of heavily Mg-doped crystals and up to 2 W average second-harmonic power in an intracavity Q-switched Nd:YAG laser [Ji-guo et al. 1983 rec]. Bryan, Gerson and Tomaschke: greatly improved resistance at 4.5 at.% MgO or more, from a hundredfold increase in photoconductivity; OH absorption shifts from 2.87 to 2.83 µm [Bryan et al. 1984 rec]. In the band-transport picture (7.3), a larger photoconductivity shortens the dielectric relaxation time and lowers the saturated space-charge field.
Zn, In. About 50% SHG conversion of 1.06 µm without damage in LiNbO3:Zn, threshold about 4-6 mol% Zn in the melt [Volk et al. 1990 rec]; In in 1992 [Volk & Rubinina 1992 rec]; review 1994 [Volk et al. 1994 rec]; monograph [Volk & Wöhlecke 2009 rec].
Stoichiometry. Lerner, Legras and Dumas showed commercial LiNbO3 is Li-deficient [Lerner et al. 1968 rec]; the congruent composition is 48.6 mol% Li2O [Carruthers et al. 1971 rec]. Vapor transport equilibration with Li-rich powder raised the 1064 nm SHG phase-matching temperature of crystal fibers from 4 to 238 C, above the photorefractive annealing temperature [Luh et al. 1987 rec]. Double-crucible Czochralski growth with automatic powder supply gave stoichiometric boules [Kitamura et al. 1992 rec]. Oxide Corporation was founded in 2000-10 by Y. Furukawa, who left NIMS in 2003 [Oxide Corporation 2026 rec]; Furukawa and Kitamura co-authored the 2000 study of photorefraction versus [Li]/[Nb] and MgO [Furukawa et al. 2000 rec].
QPM. Wave-vector mismatch for SHG: Δ k = k(2 ω) - 2 k(ω). Coherence length lc = π / Δ k. First-order QPM period Λ = 2 lc = λ / (2 (n(2 ω) - n(ω))), with λ the fundamental wavelength. The effective coefficient is deff = (2/π) d33 for a 50% duty cycle (standard result; Fejer et al. 1992 [Fejer et al. 1992 rec]), and the harmonic power grows as N2 with N coherent domains [YING-HUA et al. 1983 rec]. Derived from the Zelmon et al. congruent-LN Sellmeier coefficients at 21 C [Zelmon et al. 1997 rec]: Λ about 6.8 µm for 1064 to 532 nm and 18.99 µm for 1550 to 775 nm.
Steps to PPLN (detail in The stripes): Feng et al. 1980, domains grown in [Feng et al. 1980 rec]; Lim, Fejer, Byer 1989, waveguides [Lim et al. 1989a rec; Lim et al. 1989b rec]; Magel 1990, laser-heated pedestal growth, domains as thin as 1 µm, SHG down to 407 nm [Magel et al. 1990 rec]; Yamada et al. 1993, field poling at room temperature [Yamada et al. 1993 rec]; Myers et al. 1995, PPLN OPOs [Myers et al. 1995a rec; Myers et al. 1995b rec]; Jundt 1997, the temperature-dependent ne Sellmeier equation used for PPLN design [Jundt 1997 rec]; NTT 2003, direct-bonded QPM-LN ridge waveguides, 44%/W SHG over 13 mm with high photorefractive resistance at room temperature [Nishida et al. 2003 rec]; NTT 2021, a PPLN waveguide OPA module giving 6.3 dB of squeezed light from DC to 6 THz [Kashiwazaki et al. 2021 rec].
Sibling crystal. Zhu, Zhu and Ming (Nanjing, 1997) used a quasi-periodic domain superlattice in LiTaO3 to couple SHG and sum-frequency generation and generate the third harmonic directly [Zhu et al. 1997 rec].
L3 Sources and status
| Claim | Source | Status |
|---|---|---|
| MgO 1980 abstract exists in JOSA 70(6) IQEC block | Eleventh International Quantum 1980 (no authors in record) | P |
| 4.6 mol% threshold, > 100x | Zheng et al. 2016 citing the 1980 abstract | P |
| Zhong at SWITP Chengdu (1983) | Ji-guo et al. 1983 journal metadata | rec |
| MgO >= 4.5 at.%, photoconductivity x100 | Bryan et al. 1984 abstract | rec |
| Bryan, Gerson, Tomaschke affiliations | bylines (journal page) | rec |
| Zn 1990, In 1992 | Volk et al. 1990, Volk & Rubinina 1992 | rec |
| Double-crucible SLN 1992 | Kitamura et al. 1992; NIRIM affiliation seen on Furukawa et al. 2000 | rec / P |
| Field poling, Sony 1993 | Yamada et al. 1993 Crossref byline | rec |
The 1980 MgO work is not shown to be from Nankai University; the first author's next paper lists the Southwest Institute of Technical Physics, Chengdu (D4). The 1997 Nanjing quasi-periodic superlattice is LiTaO3.
References
- Journal of the Optical Society of America 70 577 (1980). Eleventh International Quantum Electronics Conference. Issued 1980-06-01. doi:10.1364/josa.70.000577
- Dahuai Zheng et al., Scientific Reports 6 20308 (2016). The simultaneous enhancement of photorefraction and optical damage resistance in MgO and Bi2O3 co-doped LiNbO3 crystals. Issued 2016-02-03. doi:10.1038/srep20308
- Bryan et al., Applied Physics Letters 44 847 (1984). Increased optical damage resistance in lithium niobate. Issued 1984-05-01. doi:10.1063/1.94946
- T. R. Volk et al., Optics Letters 15 996 (1990). Optical-damage-resistant LiNbO_3:Zn crystal. Issued 1990-09-15. doi:10.1364/ol.15.000996
- T. R. Volk & N. M. Rubinina, Ferroelectrics Letters Section 14 37-43 (1992). A new optical damage resistant impurity in lithium niobate crystals: Indium. Issued 1992-05. doi:10.1080/07315179208203341
- Y.S. Luh et al., Journal of Crystal Growth 85 264-269 (1987). Stoichiometric LiNbO3 single-crystal fibers for nonlinear optical applications. Issued 1987-11. doi:10.1016/0022-0248(87)90233-8
- Kitamura et al., Journal of Crystal Growth 116 327-332 (1992). Stoichiometric LiNbO3 single crystal growth by double crucible Czochralski method using automatic powder supply system. Issued 1992-02. doi:10.1016/0022-0248(92)90640-5
- Armstrong et al., Physical Review 127 1918-1939 (1962). Interactions between Light Waves in a Nonlinear Dielectric. Issued 1962-09-15. doi:10.1103/physrev.127.1918
- Yamada et al., Applied Physics Letters 62 435-436 (1993). First-order quasi-phase matched LiNbO3 waveguide periodically poled by applying an external field for efficient blue second-harmonic generation. Issued 1993-02-01. doi:10.1063/1.108925
- Zhong Ji-guo et al., Acta Physica Sinica 32 795 (1983). THE GROWTH AND THE FREQUENCY DOUBLING CHARACTERS OF HEAVILY DOPED Mg:LiNbO3 CRYSTALS. Issued 1983. doi:10.7498/aps.32.795
- T. Volk et al., Journal of the Optical Society of America B 11 1681 (1994). Optical-damage-resistant impurities in lithium niobate. Issued 1994-09-01. doi:10.1364/josab.11.001681
- Volk & Wöhlecke, Springer Series in Materials Science 115 (2009). Lithium Niobate: Defects, Photorefraction and Ferroelectric Switching. Issued 2009. doi:10.1007/978-3-540-70766-0
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- XUE YING-HUA et al., Acta Physica Sinica 32 1515 (1983). THE SECOND HARMONIC GENERATION IN LiNbO3 CRYSTALS WITH PERIODIC LAMINAR FERROELECTRIC DOMAINS. Issued 1983. doi:10.7498/aps.32.1515
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Events of 7.6
| Date | Event | Who | Ref | St |
|---|---|---|---|---|
| 1962-09-15 | Theory of light-wave interactions in nonlinear dielectrics, including periodic reversal (quasi-phase matching) | J. A. Armstrong, N. Bloembergen +2 | DOI | rec |
| 1968-01 | Commercial LiNbO3 crystals are lithium-deficient | P. Lerner, C. Legras +1 | DOI | rec |
| 1971-04-01 | Congruent melting composition located at 48.6 mol% Li2O | J. R. Carruthers, G. E. Peterson +2 | DOI | rec |
| 1980-06 | MgO doping raises the optical-damage resistance of LiNbO3 (conference abstract) | Zhong Ji-guo, Jin J. +1 | DOI | P |
| 1980-10-01 | SHG enhanced in LiNbO3 crystals grown with periodic laminar ferroelectric domains (first QPM experiment in LN, standard attribution) | Duan Feng, Nai-Ben Ming +5 | DOI | rec |
| 1983 | Heavily Mg-doped LiNbO3: growth and 2 W average second-harmonic power | Zhong Ji-guo, Xu Guan-feng +2 | DOI | rec |
| 1984-05-01 | Increased optical damage resistance in MgO-doped lithium niobate | D. A. Bryan, R. Gerson +1 | DOI | rec |
| 1985-08 | "Lithium niobate: summary of physical properties and crystal structure" | R. S. Weis, T. K. Gaylord | DOI | rec |
| 1987-11 | Stoichiometric LiNbO3 single-crystal fibers by vapor transport equilibration | Y. S. Luh, M. M. Fejer +2 | DOI | rec |
| 1989-02-02 | Green SHG in a periodically poled planar LiNbO3 waveguide | E. J. Lim, M. M. Fejer +1 | DOI | rec |
| 1989-05-25 | Blue SHG in a periodically poled LiNbO3 channel waveguide | E. J. Lim, M. M. Fejer +2 | DOI | rec |
| 1990-01-08 | Blue QPM SHG in LiNbO3 with periodic domains grown by laser-heated pedestal growth | G. A. Magel, M. M. Fejer +1 | DOI | rec |
| 1990-09-15 | Zinc as an optical-damage-resistant dopant in LiNbO3 | T. R. Volk, V. I. Pryalkin +1 | DOI | rec |
| 1992 | QPM second-harmonic generation: tuning and tolerances | M. M. Fejer, G. A. Magel +2 | DOI | rec |
| 1992-02 | Stoichiometric LiNbO3 grown by double-crucible Czochralski with automatic powder supply | K. Kitamura, J. K. Yamamoto +3 | DOI | rec |
| 1993-02-01 | Electric-field periodic poling of LiNbO3 at room temperature for first-order QPM blue SHG | M. Yamada, N. Nada +2 | DOI | rec |
| 1994-09-01 | Optical-damage-resistant impurities in lithium niobate (review) | T. Volk, N. Rubinina +1 | DOI | rec |
| 1995-01-01 | Quasi-phase-matched 1.064 µm pumped OPO in bulk periodically poled LiNbO3 | L. E. Myers, W. R. Bosenberg +4 | DOI | rec |
| 1995-11-01 | Quasi-phase-matched OPOs in bulk PPLN (full paper) | L. E. Myers, R. C. Eckardt +4 | DOI | rec |
| 1997-10-15 | Temperature-dependent Sellmeier equation for n_e of congruent LiNbO3 | Dieter H. Jundt | DOI | rec |
| 1997-10-31 | Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice (LiTaO3) | Shi-ning Zhu, Yong-yuan Zhu +1 | DOI | rec |
| 2000-10 | Oxide Corporation founded (Yamanashi) to commercialize 'Super LN/LT' crystals | Yasunori Furukawa | URL | rec |
| 2003-04-03 | Direct-bonded QPM-LN ridge waveguide with high damage resistance at room temperature | Y. Nishida, H. Miyazawa +3 | DOI | rec |
| 2009-09-17 | MgO:PPLN chips for 1060 to 530 nm green in pico-projectors | - | S | |
| 2021-12-20 | Low-loss PPLN waveguide OPA module gives 6.3 dB squeezed light up to 6 THz | Takahiro Kashiwazaki, Taichi Yamashima +3 | DOI | rec |