Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.4776
Extinction coefficient k: 0

Permittivity ε₁: 2.18331
Permittivity ε₂: 0

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

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.00512566 µm⁻¹

Group index n_g: 1.48452
Group velocity dispersion: 54.8159 fs²/mm

Dispersion parameter D: -56.6552 ps/(nm·km)
Photon energy: 0.918401 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

# Eukitt: Nyakuchena et al. 2023: n 1.10–1.65 µm
eukitt = ls.fetch_refractiveindex("other", "Eukitt", "Nyakuchena", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(eukitt.range_nm)  # (1100, 1650) nm
eps = eukitt.eps([1350])  # 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_cdd0af09f41d/lightsmith"
eukitt = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(eukitt.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (eukitt/nyakuchena-2023).

# ... load eukitt as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=eukitt)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=1100, stop_nm=1650, 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"]).

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

Cauchy (formula 5), λ in µm

n = 1.4736 + 0.00014887 λ^{2.0} + 0.0068 λ^{- 2.0}

Valid from 1.1 to 1.65 µm.

Coefficients as stored

C_i	Value
C1	1.4736
C2	0.00014887
C3	2.0
C4	0.0068
C5	-2.0

Comments and conditions

23 °C

Conditions

temperature: 296 K

References

M. Nyakuchena, C. Juntunen, P. Shea, Y. Sung. Refractive index dispersion measurement in the short-wave infrared range using synthetic phase microscopy. Phys. Chem. Chem. Phys. 25, 23141-23149 (2023)

doi:10.1039/d3cp03158f Refractive index dispersion measurement in the short-wave infrared range using synthetic phase microscopy, Physical Chemistry Chemical Physics (2023)

Cite

Melisa Nyakuchena, Cory Juntunen, Peter Shea and Yongjin Sung. Refractive index dispersion measurement in the short-wave infrared range using synthetic phase microscopy. Physical Chemistry Chemical Physics, 25, 23141-23149 (2023), doi:10.1039/d3cp03158f; 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

Eukitt, Nyakuchena et al. 2023: n 1.10–1.65 µm: n and k versus wavelength
λ (µm)	n
1.1	1.4794
1.10112	1.479389
1.10224	1.479378
1.10336	1.479367
1.10448	1.479356
1.1056	1.479345
1.10673	1.479334
1.10785	1.479323
1.10898	1.479312
1.11011	1.479301
1.11124	1.479291
1.11237	1.47928
1.1135	1.479269
1.11463	1.479258
1.11576	1.479248
1.1169	1.479237
1.11803	1.479226
1.11917	1.479215
1.12031	1.479205
1.12145	1.479194
1.12259	1.479184
1.12373	1.479173
1.12487	1.479162
1.12601	1.479152
1.12716	1.479141
1.1283	1.479131
1.12945	1.47912
1.1306	1.47911
1.13175	1.4791
1.1329	1.479089
1.13405	1.479079
1.1352	1.479069
1.13636	1.479058
1.13751	1.479048
1.13867	1.479038
1.13983	1.479027
1.14099	1.479017
1.14215	1.479007
1.14331	1.478997
1.14447	1.478987
1.14563	1.478976
1.1468	1.478966
1.14796	1.478956
1.14913	1.478946
1.1503	1.478936
1.15147	1.478926
1.15264	1.478916
1.15381	1.478906
1.15499	1.478896
1.15616	1.478886
1.15734	1.478876
1.15851	1.478866
1.15969	1.478856
1.16087	1.478847
1.16205	1.478837
1.16323	1.478827
1.16441	1.478817
1.1656	1.478807
1.16678	1.478798
1.16797	1.478788
1.16916	1.478778
1.17035	1.478768
1.17153	1.478759
1.17273	1.478749
1.17392	1.47874
1.17511	1.47873
1.17631	1.47872
1.1775	1.478711
1.1787	1.478701
1.1799	1.478692
1.1811	1.478682
1.1823	1.478673
1.1835	1.478663
1.1847	1.478654
1.18591	1.478644
1.18711	1.478635
1.18832	1.478626
1.18953	1.478616
1.19074	1.478607
1.19195	1.478598
1.19316	1.478588
1.19437	1.478579
1.19559	1.47857
1.1968	1.478561
1.19802	1.478552
1.19924	1.478542
1.20046	1.478533
1.20168	1.478524
1.2029	1.478515
1.20412	1.478506
1.20535	1.478497
1.20657	1.478488
1.2078	1.478479
1.20903	1.47847
1.21026	1.478461
1.21149	1.478452
1.21272	1.478443
1.21395	1.478434
1.21519	1.478425
1.21642	1.478416
1.21766	1.478407
1.2189	1.478398
1.22014	1.478389
1.22138	1.47838
1.22262	1.478372
1.22386	1.478363
1.22511	1.478354
1.22635	1.478345
1.2276	1.478337
1.22885	1.478328
1.2301	1.478319
1.23135	1.478311
1.2326	1.478302
1.23385	1.478293
1.23511	1.478285
1.23636	1.478276
1.23762	1.478268
1.23888	1.478259
1.24014	1.47825
1.2414	1.478242
1.24266	1.478233
1.24392	1.478225
1.24519	1.478217
1.24645	1.478208
1.24772	1.4782
1.24899	1.478191
1.25026	1.478183
1.25153	1.478175
1.2528	1.478166
1.25408	1.478158
1.25535	1.47815
1.25663	1.478141
1.25791	1.478133
1.25919	1.478125
1.26047	1.478117
1.26175	1.478108
1.26303	1.4781
1.26431	1.478092
1.2656	1.478084
1.26689	1.478076
1.26817	1.478068
1.26946	1.478059
1.27075	1.478051
1.27205	1.478043
1.27334	1.478035
1.27463	1.478027
1.27593	1.478019
1.27723	1.478011
1.27853	1.478003
1.27983	1.477995
1.28113	1.477987
1.28243	1.47798
1.28373	1.477972
1.28504	1.477964
1.28635	1.477956
1.28765	1.477948
1.28896	1.47794
1.29027	1.477932
1.29159	1.477925
1.2929	1.477917
1.29421	1.477909
1.29553	1.477901
1.29685	1.477894
1.29816	1.477886
1.29948	1.477878
1.30081	1.477871
1.30213	1.477863
1.30345	1.477855
1.30478	1.477848
1.3061	1.47784
1.30743	1.477833
1.30876	1.477825
1.31009	1.477817
1.31142	1.47781
1.31276	1.477802
1.31409	1.477795
1.31543	1.477787
1.31677	1.47778
1.3181	1.477773
1.31944	1.477765
1.32079	1.477758
1.32213	1.47775
1.32347	1.477743
1.32482	1.477736
1.32617	1.477728
1.32751	1.477721
1.32886	1.477714
1.33021	1.477706
1.33157	1.477699
1.33292	1.477692
1.33428	1.477685
1.33563	1.477677
1.33699	1.47767
1.33835	1.477663
1.33971	1.477656
1.34107	1.477649
1.34244	1.477642
1.3438	1.477634
1.34517	1.477627
1.34654	1.47762
1.3479	1.477613
1.34927	1.477606
1.35065	1.477599
1.35202	1.477592
1.35339	1.477585
1.35477	1.477578
1.35615	1.477571
1.35753	1.477564
1.35891	1.477557
1.36029	1.47755
1.36167	1.477543
1.36306	1.477537
1.36444	1.47753
1.36583	1.477523
1.36722	1.477516
1.36861	1.477509
1.37	1.477502
1.37139	1.477496
1.37279	1.477489
1.37418	1.477482
1.37558	1.477475
1.37698	1.477469
1.37838	1.477462
1.37978	1.477455
1.38118	1.477449
1.38259	1.477442
1.38399	1.477435
1.3854	1.477429
1.38681	1.477422
1.38822	1.477415
1.38963	1.477409
1.39104	1.477402
1.39246	1.477396
1.39387	1.477389
1.39529	1.477383
1.39671	1.477376
1.39813	1.47737
1.39955	1.477363
1.40097	1.477357
1.4024	1.47735
1.40382	1.477344
1.40525	1.477337
1.40668	1.477331
1.40811	1.477325
1.40954	1.477318
1.41097	1.477312
1.41241	1.477306
1.41384	1.477299
1.41528	1.477293
1.41672	1.477287
1.41816	1.477281
1.4196	1.477274
1.42105	1.477268
1.42249	1.477262
1.42394	1.477256
1.42539	1.477249
1.42683	1.477243
1.42828	1.477237
1.42974	1.477231
1.43119	1.477225
1.43265	1.477219
1.4341	1.477213
1.43556	1.477206
1.43702	1.4772
1.43848	1.477194
1.43994	1.477188
1.44141	1.477182
1.44287	1.477176
1.44434	1.47717
1.44581	1.477164
1.44728	1.477158
1.44875	1.477152
1.45022	1.477146
1.4517	1.47714
1.45317	1.477135
1.45465	1.477129
1.45613	1.477123
1.45761	1.477117
1.45909	1.477111
1.46058	1.477105
1.46206	1.477099
1.46355	1.477094
1.46504	1.477088
1.46653	1.477082
1.46802	1.477076
1.46951	1.47707
1.471	1.477065
1.4725	1.477059
1.474	1.477053
1.47549	1.477048
1.47699	1.477042
1.4785	1.477036
1.48	1.477031
1.4815	1.477025
1.48301	1.477019
1.48452	1.477014
1.48603	1.477008
1.48754	1.477002
1.48905	1.476997
1.49056	1.476991
1.49208	1.476986
1.4936	1.47698
1.49512	1.476975
1.49664	1.476969
1.49816	1.476964
1.49968	1.476958
1.50121	1.476953
1.50273	1.476947
1.50426	1.476942
1.50579	1.476937
1.50732	1.476931
1.50885	1.476926
1.51039	1.47692
1.51192	1.476915
1.51346	1.47691
1.515	1.476904
1.51654	1.476899
1.51808	1.476894
1.51962	1.476888
1.52117	1.476883
1.52272	1.476878
1.52426	1.476873
1.52581	1.476867
1.52736	1.476862
1.52892	1.476857
1.53047	1.476852
1.53203	1.476847
1.53359	1.476841
1.53515	1.476836
1.53671	1.476831
1.53827	1.476826
1.53983	1.476821
1.5414	1.476816
1.54296	1.476811
1.54453	1.476806
1.5461	1.476801
1.54768	1.476795
1.54925	1.47679
1.55082	1.476785
1.5524	1.47678
1.55398	1.476775
1.55556	1.47677
1.55714	1.476765
1.55872	1.47676
1.56031	1.476756
1.5619	1.476751
1.56348	1.476746
1.56507	1.476741
1.56666	1.476736
1.56826	1.476731
1.56985	1.476726
1.57145	1.476721
1.57305	1.476716
1.57465	1.476712
1.57625	1.476707
1.57785	1.476702
1.57945	1.476697
1.58106	1.476692
1.58267	1.476688
1.58428	1.476683
1.58589	1.476678
1.5875	1.476673
1.58911	1.476669
1.59073	1.476664
1.59235	1.476659
1.59396	1.476655
1.59559	1.47665
1.59721	1.476645
1.59883	1.476641
1.60046	1.476636
1.60208	1.476631
1.60371	1.476627
1.60534	1.476622
1.60698	1.476618
1.60861	1.476613
1.61025	1.476609
1.61188	1.476604
1.61352	1.476599
1.61516	1.476595
1.6168	1.47659
1.61845	1.476586
1.62009	1.476582
1.62174	1.476577
1.62339	1.476573
1.62504	1.476568
1.62669	1.476564
1.62835	1.476559
1.63	1.476555
1.63166	1.476551
1.63332	1.476546
1.63498	1.476542
1.63664	1.476537
1.6383	1.476533
1.63997	1.476529
1.64164	1.476524
1.64331	1.47652
1.64498	1.476516
1.64665	1.476512
1.64832	1.476507
1.65	1.476503

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: —

Plot