PPLN Λ = 6.82 µm · 1064 → 532 nm · 2 px/µm
lithium niobate / Colophon

Colophon

Stack

built 2026-10-25
FrameworkSvelteKit 2.70.3, Svelte 5.57.2, static adapter 3.0.10: every route prerendered to HTML, no server at runtime
BuildVite 7.3.7, TypeScript 5.9.3, mdsvex 0.12.8; pnpm 10.12.4
3Dthree.js 0.169.0 (r169), loaded on the first VISUAL view only; scenes render on demand
Physicssrc/lib/physics: dependency-free TypeScript, pure functions, 37 test files run with node --test
Datacanonical YAML in data/ with JSON Schemas, built by scripts/build_data.py (Python, run with uv) into static/api/v1, llms.txt and the page data
TestsPlaywright 1.64.1
TypeTECH: IBM Plex Sans, Mono, Sans Condensed. VISUAL: Newsreader, Inter, STIX Two Text (Greek). All SIL OFL, from Google Fonts
MathMathML in the page source; no math script
Pages85 page sources, of which /data/<property>/ expands to one page per property
Hostingstatic files; every page works without a server, the data API is the same static tree
LicensesCode GPL-3.0 (GPL-3.0-only); data CC BY 4.0; source at github.com/jwt625/lithium-niobate

Data and provenance

143 scalar and 49 tensor records, 7 dispersion models, 280 sources, 39 unverified claims held apart

Record

Scalar
property, symbol, variant (CLN, SLN, MgO-doped, LiTaO3 for comparison), value or range or text, stated uncertainty, unit as UCUM code with a QUDT URI where one exists, conditions (temperature, wavelength, frequency, mechanical and electrical boundary), frame
Tensor
independent components, Voigt matrix and convention, full Cartesian tensor generated by code, 3m symmetry form, frame with +z sign definition
Dispersion
formula, coefficients, validity window in wavelength and temperature, reference temperature, errata, check values reproduced at build time
Provenance
source id with DOI or URL, locator (table, page, equation), original measurement when read through a compilation, status, transcription date

Browse: data, API, library.

Status codes

Psource read at the locator; the value originates there
P(abs)only the abstract (qualifier title: only the title) read; the value is stated there
P-compread in a compilation that cites the original; original not read
P-dbCC0 database transcription of a primary source
Ssecondary source quoting the original
Vvendor datasheet; not traceable to a specific measurement
Uunverified: claimed value and claimed source listed; not shown as fact
reportedas reported by the authors
derivedcomputed in the page from the listed inputs
templatedisplay parameter, not a material property
enginecomputed by the eo-modulator-atlas FEM engine
recbibliographic record verified at the source
P(abs)only the abstract read (used in /data/ tables)
Ccomputed from listed inputs (used in /data/ tables)

Rules

  1. Values in data tables and specification cards carry a status code (table above); its popup gives the source and the locator.
  2. Unverified values (U) are never shown as fact; they live in /api/v1/unverified.json with the claimed value and the claimed source.
  3. Where sources disagree, the records are listed side by side; no value is averaged or blended.
  4. A value read in a review or handbook is P-comp, never P; a vendor number is V.
  5. Numbers computed on a page from listed inputs are marked derived; parameters chosen for display are marked template.
  6. Values are re-keyed with a citation; no figure or table is copied in its layout. Images are public domain or CC with the license recorded.
  7. A placeholder states that it holds no data.

Two design systems

switch with TECH / VISUAL in the masthead
AxisTECHVISUAL
Pageone bordered 1180 px sheet with a hard shadowfull-bleed field, 72 px optic-axis gutter at 1100 px and wider
TypeIBM Plex Sans and Mono; every heading 13 px, hierarchy by weight and ruleNewsreader for reading and display, Inter for numbers and controls; 13 to 88 px scale
Controls18 px sliders, 22 px segmented buttons, active state inverted44 px targets, diamond slider thumb, tabular 22 px readouts
Figurespanels, ASCII renderings, static between inputsinstruments drawn as instruments, 3D where geometry explains it, render on demand
Colormonochrome; accent equals foregroundspectral colors computed from wavelength (CIE 1931 2° functions, Wyman-Sloan-Shirley 2013 fit); 1064 and 1550 nm in declared false color, always dashed; material colors for Au, Si, SiO2, LN
Badgesmono uppercase tags; border style gives the gradediamond glyph and word; fill gives the grade
Motionnoneonly what the reader operates plus the motifs below; off under prefers-reduced-motion
Commonsharp corners, dark default and light theme, no layout shift during interaction, ISO dates, SI units

Field guide to the motifs

8 motifs; motion ones only in VISUAL
MotifWherePhysics
Photorefractive traceVISUAL with motion allowed: the pointer leaves a faint 532 nm green trace that fades and is cleared 15 s after the pointer stops (display timing).Light excites electrons from Fe2+ and other donor sites; the bulk photovoltaic current moves them along the c axis until they are trapped, and the space-charge field changes ne through the Pockels effect. The written index persists for the dielectric relaxation time εε0/σ: about 7 h to 29 days in the dark for ε33 = 28 and a dark conductivity of 10−14 to 10−16 S/m (range from Volk & Wöhlecke 2009, p. 60).
Green-induced infrared absorptionVISUAL: marks drawn in infrared false color within 40 px of the pointer dim to 35% and recover over 2.5 s.532 nm light creates small polarons (electrons bound at NbLi antisites) whose absorption band lies in the near infrared, so a green beam raises the infrared loss of a frequency doubler; the absorption decays after the green light is removed.
Bias driftFooter, VISUAL: the operating point of an MZM transfer curve drifts with a single time constant of 40 s over 90° (display values); a click re-locks it. TECH holds it at quadrature.A DC bias on a thin-film LN modulator is screened by charge moving in the film, cladding and interfaces, so the phase set by a constant voltage relaxes over seconds to hours (EO response measured from 1 mHz to 1 MHz by Holzgrafe et al. 2024, doi:10.1364/OE.507536).
Poled rulesMasthead band and VISUAL section rules: alternating ±z domains at 2 px per µm with the first-order QPM period of the page: 6.82 µm for 1064 → 532 nm (landing), 18.99 µm for 1550 → 775 nm (Light, phase matching).Reversing the ferroelectric domain every coherence length flips the sign of d33 and keeps the second harmonic growing: Λ = λ / (2 (ne(λ/2) − ne(λ))), computed live from the Zelmon 1997 congruent ne at 21 °C.
Li-vacancy textureVISUAL background: a triangular dot lattice with 4.0% of the dots missing and 1.0% drawn as rings.Congruent LN grows Li-poor, [Li]/[Nb] = 0.94 (Volk & Wöhlecke 2009, p. 9). In the Li-site vacancy model (Li1−5xNbxV4x)NbO3, (1 − 5x)/(1 + x) = 0.94 gives x = 0.0101: 4.04% of Li sites empty and 1.01% occupied by Nb antisites. Lattice spacing is decorative.
3m ornamentsVISUAL: a stereogram glyph before every heading (threefold axis, three mirror planes); cards cut with one 60° facet. No four-, five- or eightfold ornament appears.LN belongs to point group 3m: one threefold rotation axis along c and three mirror planes containing it. Neumann's principle then fixes which tensor components vanish or are tied, e.g. four independent Pockels coefficients r13, r22, r33, r51.
Conoscope logoMasthead logo and favicon: the computed conoscopic figure of a 0.6 mm z-cut plate between crossed polarizers, numerical aperture 0.55, no field; 632.8 nm grayscale in TECH, white light in VISUAL.Each pixel is a propagation direction at angle θ to the optic axis; the retardation 2πd(no − ne(θ))/(λ cosθ) draws the isochromatic rings and the polarizer axes the dark cross. A transverse field makes the crystal biaxial and splits the cross (landing Fig. 0).
Birefringent headingsVISUAL with motion allowed: headings carry a faint doubled image in two hues offset by about one pixel; hovering removes it.A ray entering a birefringent crystal splits into ordinary and extraordinary rays; for LN at 633 nm, no − ne is about 0.084, which displaces the two images of an object seen through a thick plate.

Photorefractive trace

VISUAL with motion allowed: the pointer leaves a faint 532 nm green trace that fades and is cleared 15 s after the pointer stops (display timing).

Light excites electrons from Fe2+ and other donor sites; the bulk photovoltaic current moves them along the c axis until they are trapped, and the space-charge field changes ne through the Pockels effect. The written index persists for the dielectric relaxation time εε0/σ: about 7 h to 29 days in the dark for ε33 = 28 and a dark conductivity of 10−14 to 10−16 S/m (range from Volk & Wöhlecke 2009, p. 60).

Green-induced infrared absorption

VISUAL: marks drawn in infrared false color within 40 px of the pointer dim to 35% and recover over 2.5 s.

532 nm light creates small polarons (electrons bound at NbLi antisites) whose absorption band lies in the near infrared, so a green beam raises the infrared loss of a frequency doubler; the absorption decays after the green light is removed.

Bias drift

Footer, VISUAL: the operating point of an MZM transfer curve drifts with a single time constant of 40 s over 90° (display values); a click re-locks it. TECH holds it at quadrature.

A DC bias on a thin-film LN modulator is screened by charge moving in the film, cladding and interfaces, so the phase set by a constant voltage relaxes over seconds to hours (EO response measured from 1 mHz to 1 MHz by Holzgrafe et al. 2024, doi:10.1364/OE.507536).

6.82 µm18.99 µm

Poled rules

Masthead band and VISUAL section rules: alternating ±z domains at 2 px per µm with the first-order QPM period of the page: 6.82 µm for 1064 → 532 nm (landing), 18.99 µm for 1550 → 775 nm (Light, phase matching).

Reversing the ferroelectric domain every coherence length flips the sign of d33 and keeps the second harmonic growing: Λ = λ / (2 (ne(λ/2) − ne(λ))), computed live from the Zelmon 1997 congruent ne at 21 °C.

Li-vacancy texture

VISUAL background: a triangular dot lattice with 4.0% of the dots missing and 1.0% drawn as rings.

Congruent LN grows Li-poor, [Li]/[Nb] = 0.94 (Volk & Wöhlecke 2009, p. 9). In the Li-site vacancy model (Li1−5xNbxV4x)NbO3, (1 − 5x)/(1 + x) = 0.94 gives x = 0.0101: 4.04% of Li sites empty and 1.01% occupied by Nb antisites. Lattice spacing is decorative.

xy mirror plane threefold axis 6 equivalentdirections;no inversion

3m ornaments

VISUAL: a stereogram glyph before every heading (threefold axis, three mirror planes); cards cut with one 60° facet. No four-, five- or eightfold ornament appears.

LN belongs to point group 3m: one threefold rotation axis along c and three mirror planes containing it. Neumann's principle then fixes which tensor components vanish or are tied, e.g. four independent Pockels coefficients r13, r22, r33, r51.

Conoscope logo

Masthead logo and favicon: the computed conoscopic figure of a 0.6 mm z-cut plate between crossed polarizers, numerical aperture 0.55, no field; 632.8 nm grayscale in TECH, white light in VISUAL.

Each pixel is a propagation direction at angle θ to the optic axis; the retardation 2πd(no − ne(θ))/(λ cosθ) draws the isochromatic rings and the polarizer axes the dark cross. A transverse field makes the crystal biaxial and splits the cross (landing Fig. 0).

Aa

Birefringent headings

VISUAL with motion allowed: headings carry a faint doubled image in two hues offset by about one pixel; hovering removes it.

A ray entering a birefringent crystal splits into ordinary and extraordinary rays; for LN at 633 nm, no − ne is about 0.084, which displaces the two images of an object seen through a thick plate.

Status key

Psource read at the locator; the value originates thereP-compread in a compilation that cites the original; original not readP-dbCC0 database transcription of a primary sourceSsecondary source quoting the originalVvendor datasheet; not traceable to a specific measurementUunverified: claimed value and claimed source listed; not shown as factreportedas reported by the authorsderivedcomputed in the page from the listed inputstemplatedisplay parameter, not a material propertyenginecomputed by the eo-modulator-atlas FEM engine

License

Code GPL-3.0. Data CC BY 4.0.
Source: github.com/jwt625/lithium-niobate

Pointer effects

Cursor trace: photorefractive index writing (4.1). IR dimming near the pointer: green-induced infrared absorption (4.4).

MZM bias

0π/2π2π 1 ms1 s1 ks1 Ms
Δφ/φ0 = +0.000, locked
lithium-niobate.com2026-10-25