Optical constants

Refractive index of ZERODUR® (SCHOTT)

ZERODUR®: n 0.365–2.325 µm

Data: formula 2
Range: 0.365–2.325 µm
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.54236
Extinction coefficient k: 0

Permittivity ε₁: 2.37887
Permittivity ε₂: 0

Absorption coefficient α: 0 cm⁻¹
Penetration depth δ = λ/(2πk): — nm

Abbe number V_d: 56.118
Chromatic dispersion dn/dλ: -0.0497862 µm⁻¹

Group index n_g: 1.57161
Group velocity dispersion: 87.5886 fs²/mm

Dispersion parameter D: -477.842 ps/(nm·km)
Photon energy: 2.11001 eV

ε = (n + ik)², α = 4πk/λ, n_g = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.

Use it in Lightsmith

Load this data in Python, simulate in one more line

pip install lightsmith

import lightsmith as ls

# ZERODUR® (SCHOTT): ZERODUR®
schott_zerodur = ls.fetch_refractiveindex("specs", "SCHOTT-misc", "ZERODUR", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_zerodur.range_nm)  # (365, 2325) nm
eps = schott_zerodur.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_6863fa1f2803/lightsmith"
schott_zerodur = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(schott_zerodur.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (schott-zerodur/schott).

# ... load schott_zerodur as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=schott_zerodur)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=1000, num=81),
)
res = ls.solve(sim)  # exact Mie for a sphere
print(res.q_ext)     # extinction efficiency at each wavelength

Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_6863fa1f2803/lightsmith?model=drude_lorentz"
schott_zerodur_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))

A dispersive Drude–Lorentz model for time-domain solvers.

Materials guide Open a sphere of it in Studio Quick start Ask the community

Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.

Dispersion formula

Sellmeier (C in µm²) (formula 2), λ in µm

n^{2} - 1 = \frac{1.3182408 λ^{2}}{λ^{2} - 0.00879} + \frac{0.0244 λ^{2}}{λ^{2} - 0.0609} + \frac{1.08915181 λ^{2}}{λ^{2} - 110.0}

Valid from 0.365 to 2.325 µm.

Coefficients as stored

C_i	Value
C1	0.0
C2	1.3182408
C3	0.00879
C4	0.0244
C5	0.0609
C6	1.08915181
C7	110.0

References

SCHOTT Technical Information: Optical Properties of ZERODUR, November 2007

Cite

SCHOTT Technical Information: Optical Properties of ZERODUR, November 2007; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 400 wavelengths, the same grid as the API and the library

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

ZERODUR® (SCHOTT), ZERODUR®: n and k versus wavelength
λ (µm)	n
0.365	1.566839
0.366698	1.566431
0.368403	1.566028
0.370117	1.565631
0.371838	1.565239
0.373568	1.564852
0.375306	1.564471
0.377051	1.564095
0.378805	1.563723
0.380567	1.563357
0.382337	1.562995
0.384116	1.562638
0.385902	1.562285
0.387697	1.561937
0.3895	1.561594
0.391312	1.561254
0.393132	1.560919
0.394961	1.560588
0.396798	1.560262
0.398644	1.559939
0.400498	1.55962
0.402361	1.559305
0.404232	1.558994
0.406112	1.558686
0.408001	1.558382
0.409899	1.558082
0.411806	1.557785
0.413721	1.557492
0.415645	1.557202
0.417579	1.556916
0.419521	1.556633
0.421472	1.556353
0.423433	1.556076
0.425402	1.555802
0.427381	1.555532
0.429369	1.555265
0.431366	1.555
0.433372	1.554739
0.435388	1.55448
0.437413	1.554225
0.439448	1.553972
0.441492	1.553722
0.443545	1.553474
0.445609	1.55323
0.447681	1.552988
0.449764	1.552748
0.451856	1.552512
0.453957	1.552277
0.456069	1.552046
0.45819	1.551817
0.460321	1.55159
0.462462	1.551365
0.464613	1.551143
0.466775	1.550923
0.468946	1.550706
0.471127	1.550491
0.473318	1.550278
0.47552	1.550067
0.477732	1.549859
0.479954	1.549652
0.482186	1.549448
0.484429	1.549246
0.486682	1.549045
0.488946	1.548847
0.49122	1.548651
0.493505	1.548457
0.4958	1.548265
0.498107	1.548074
0.500423	1.547886
0.502751	1.547699
0.505089	1.547514
0.507439	1.547331
0.509799	1.54715
0.51217	1.546971
0.514553	1.546793
0.516946	1.546617
0.51935	1.546443
0.521766	1.546271
0.524193	1.5461
0.526631	1.54593
0.529081	1.545763
0.531542	1.545597
0.534014	1.545432
0.536498	1.545269
0.538993	1.545108
0.5415	1.544948
0.544019	1.54479
0.546549	1.544633
0.549092	1.544477
0.551646	1.544323
0.554212	1.54417
0.556789	1.544019
0.559379	1.543869
0.561981	1.543721
0.564595	1.543573
0.567221	1.543428
0.569859	1.543283
0.57251	1.54314
0.575173	1.542998
0.577848	1.542857
0.580536	1.542718
0.583236	1.542579
0.585949	1.542442
0.588675	1.542306
0.591413	1.542172
0.594164	1.542038
0.596927	1.541906
0.599704	1.541774
0.602493	1.541644
0.605296	1.541515
0.608111	1.541387
0.61094	1.54126
0.613781	1.541134
0.616636	1.54101
0.619504	1.540886
0.622386	1.540763
0.625281	1.540642
0.628189	1.540521
0.631111	1.540401
0.634047	1.540282
0.636996	1.540164
0.639959	1.540047
0.642935	1.539932
0.645926	1.539816
0.64893	1.539702
0.651949	1.539589
0.654981	1.539477
0.658028	1.539365
0.661088	1.539254
0.664163	1.539145
0.667252	1.539036
0.670356	1.538928
0.673474	1.53882
0.676607	1.538714
0.679754	1.538608
0.682915	1.538503
0.686092	1.538399
0.689283	1.538295
0.692489	1.538192
0.69571	1.53809
0.698946	1.537989
0.702197	1.537889
0.705463	1.537789
0.708745	1.53769
0.712041	1.537591
0.715353	1.537493
0.718681	1.537396
0.722023	1.5373
0.725382	1.537204
0.728756	1.537109
0.732146	1.537014
0.735551	1.53692
0.738972	1.536827
0.742409	1.536734
0.745863	1.536642
0.749332	1.53655
0.752817	1.536459
0.756319	1.536368
0.759837	1.536278
0.763371	1.536189
0.766922	1.5361
0.770489	1.536012
0.774073	1.535924
0.777673	1.535837
0.78129	1.53575
0.784924	1.535663
0.788575	1.535578
0.792243	1.535492
0.795928	1.535407
0.79963	1.535323
0.80335	1.535239
0.807086	1.535155
0.81084	1.535072
0.814612	1.534989
0.818401	1.534907
0.822208	1.534825
0.826032	1.534743
0.829874	1.534662
0.833734	1.534582
0.837612	1.534501
0.841508	1.534421
0.845422	1.534342
0.849355	1.534262
0.853305	1.534183
0.857274	1.534105
0.861262	1.534027
0.865268	1.533949
0.869292	1.533871
0.873336	1.533794
0.877398	1.533717
0.881479	1.53364
0.885579	1.533563
0.889698	1.533487
0.893836	1.533411
0.897994	1.533336
0.902171	1.53326
0.906367	1.533185
0.910583	1.53311
0.914818	1.533036
0.919073	1.532961
0.923348	1.532887
0.927643	1.532813
0.931958	1.532739
0.936293	1.532666
0.940648	1.532592
0.945023	1.532519
0.949419	1.532446
0.953835	1.532373
0.958271	1.532301
0.962729	1.532228
0.967207	1.532156
0.971705	1.532084
0.976225	1.532012
0.980766	1.53194
0.985328	1.531868
0.989911	1.531796
0.994515	1.531725
0.999141	1.531653
1.00379	1.531582
1.00846	1.531511
1.01315	1.531439
1.01786	1.531368
1.02259	1.531297
1.02735	1.531226
1.03213	1.531155
1.03693	1.531085
1.04175	1.531014
1.0466	1.530943
1.05147	1.530872
1.05636	1.530802
1.06127	1.530731
1.06621	1.53066
1.07117	1.53059
1.07615	1.530519
1.08115	1.530448
1.08618	1.530378
1.09124	1.530307
1.09631	1.530236
1.10141	1.530166
1.10653	1.530095
1.11168	1.530024
1.11685	1.529953
1.12205	1.529882
1.12727	1.529811
1.13251	1.52974
1.13778	1.529669
1.14307	1.529598
1.14839	1.529526
1.15373	1.529455
1.15909	1.529384
1.16448	1.529312
1.1699	1.52924
1.17534	1.529168
1.18081	1.529096
1.1863	1.529024
1.19182	1.528952
1.19736	1.528879
1.20293	1.528807
1.20853	1.528734
1.21415	1.528661
1.2198	1.528588
1.22547	1.528515
1.23117	1.528441
1.2369	1.528368
1.24265	1.528294
1.24843	1.52822
1.25424	1.528146
1.26007	1.528071
1.26593	1.527996
1.27182	1.527921
1.27774	1.527846
1.28368	1.527771
1.28965	1.527695
1.29565	1.527619
1.30167	1.527542
1.30773	1.527466
1.31381	1.527389
1.31992	1.527312
1.32606	1.527234
1.33223	1.527157
1.33843	1.527079
1.34465	1.527
1.35091	1.526921
1.35719	1.526842
1.3635	1.526763
1.36985	1.526683
1.37622	1.526603
1.38262	1.526522
1.38905	1.526441
1.39551	1.52636
1.402	1.526279
1.40852	1.526196
1.41507	1.526114
1.42166	1.526031
1.42827	1.525948
1.43491	1.525864
1.44159	1.52578
1.44829	1.525695
1.45503	1.52561
1.4618	1.525524
1.46859	1.525438
1.47543	1.525352
1.48229	1.525265
1.48918	1.525177
1.49611	1.525089
1.50307	1.525001
1.51006	1.524912
1.51708	1.524822
1.52414	1.524732
1.53123	1.524641
1.53835	1.52455
1.54551	1.524458
1.5527	1.524366
1.55992	1.524273
1.56717	1.524179
1.57446	1.524085
1.58179	1.52399
1.58914	1.523895
1.59654	1.523799
1.60396	1.523702
1.61142	1.523605
1.61892	1.523507
1.62645	1.523408
1.63401	1.523309
1.64161	1.523209
1.64925	1.523108
1.65692	1.523007
1.66463	1.522905
1.67237	1.522802
1.68015	1.522698
1.68796	1.522594
1.69581	1.522489
1.7037	1.522383
1.71163	1.522276
1.71959	1.522169
1.72759	1.52206
1.73562	1.521951
1.74369	1.521841
1.75181	1.521731
1.75995	1.521619
1.76814	1.521506
1.77636	1.521393
1.78463	1.521279
1.79293	1.521164
1.80127	1.521048
1.80964	1.520931
1.81806	1.520813
1.82652	1.520694
1.83501	1.520575
1.84355	1.520454
1.85212	1.520332
1.86074	1.520209
1.86939	1.520086
1.87809	1.519961
1.88682	1.519835
1.8956	1.519709
1.90442	1.519581
1.91328	1.519452
1.92218	1.519322
1.93112	1.519191
1.9401	1.519058
1.94912	1.518925
1.95819	1.518791
1.9673	1.518655
1.97645	1.518518
1.98564	1.51838
1.99488	1.518241
2.00416	1.518101
2.01348	1.517959
2.02284	1.517816
2.03225	1.517672
2.0417	1.517527
2.0512	1.51738
2.06074	1.517232
2.07033	1.517083
2.07996	1.516932
2.08963	1.51678
2.09935	1.516627
2.10912	1.516472
2.11893	1.516316
2.12878	1.516159
2.13868	1.516
2.14863	1.515839
2.15862	1.515677
2.16867	1.515514
2.17875	1.515349
2.18889	1.515182
2.19907	1.515014
2.2093	1.514845
2.21957	1.514674
2.2299	1.514501
2.24027	1.514326
2.25069	1.51415
2.26116	1.513973
2.27167	1.513793
2.28224	1.513612
2.29286	1.513429
2.30352	1.513245
2.31424	1.513058
2.325	1.51287

Optical transmission calculator

Free-standing sample in vacuum, normal incidence

Transmittance T: —
Reflectance R: —

Fresnel reflection calculator

R_p: —
R_s: —
R = (R_p+R_s)/2: —
Phase φ_p: —
Phase φ_s: —
Brewster angle θ_B: —
Critical angle θ_C: —

ZERODUR® (SCHOTT): all datasets

ZERODUR® n 0.365–2.325 µm default

About ZERODUR® (SCHOTT)

SCHOTT AG is a German multinational company renowned for its expertise in specialty glass and glass-ceramics. Founded in 1884, the company has been a pioneer in the field, with innovations that have significantly impacted a variety of industries, including healthcare, home appliances, electronics, and optics. In the optical domain, SCHOTT offers a comprehensive range of high-quality glass types, including crown and flint glasses, as well as specialty materials like laser glasses and radiation-shielding glasses. These materials are used in a myriad of applications, from consumer electronics and camera lenses to scientific instruments and aerospace technologies. SCHOTT's glass products are highly regarded for their quality, consistency, and durability, meeting rigorous industry standards. With a strong focus on research and development, the company has continued to introduce innovative products that address the evolving needs of the optical industry. SCHOTT's commitment to quality and innovation has established it as a leading provider of specialty glass solutions, making it a go-to choice for designers and manufacturers seeking high-performance materials. SCHOTT also publishes a glass catalog (SCHOTT Optical Glass Datasheets), which is a standard reference for the properties of many optical glasses.

More about ZERODUR® (SCHOTT) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/specs/schott/misc/ZERODUR.yml
ID: ds_6863fa1f2803
API: /v1/datasets/ds_6863fa1f2803

Plot