Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.47986
Extinction coefficient k: 0

Permittivity ε₁: 2.18997
Permittivity ε₂: 0

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

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.0042842 µm⁻¹

Group index n_g: 1.48564
Group velocity dispersion: 42.1639 fs²/mm

Dispersion parameter D: -43.5787 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

# Pharmacoat 606 (Hydroxypropyl methylcellulose, HPMC): Juntunen et al. 2024: n 1.10–1.65 µm
pharmacoat606 = ls.fetch_refractiveindex("other", "Pharmacoat606", "Juntunen", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(pharmacoat606.range_nm)  # (1100, 1650) nm
eps = pharmacoat606.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_8c5948f2aac5/lightsmith"
pharmacoat606 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(pharmacoat606.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (pharmacoat606/juntunen-2024).

# ... load pharmacoat606 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=pharmacoat606)],
    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 = 1.477 + 0.00514 λ^{- 2.0} + 0.0001188 λ^{- 4.0}

Valid from 1.1 to 1.65 µm.

Coefficients as stored

C_i	Value
C1	1.477
C2	0.00514
C3	-2.0
C4	0.0001188
C5	-4.0

Comments and conditions

Hydroxypropyl methylcellulose Pharmacoat 606, Shin-Etsu Chemical Co., Ltd., Tokyo, Japan). Powder. 23 °C

Conditions

temperature: 296 K

References

C. Juntunen, A. J. Rish, C. A. Anderson, Y. Sung. Refractive index measurement of pharmaceutical powders in the short-wave infrared range using index matching assisted with phase imaging. Powder Technol. 438, 119621-23149 (2024)

doi:10.1016/j.powtec.2024.119621 Refractive index measurement of pharmaceutical powders in the short-wave infrared range using index matching assisted with phase imaging, Powder Technology (2024)

Cite

Cory Juntunen, Adam J. Rish, Carl A. Anderson and Yongjin Sung. Refractive index measurement of pharmaceutical powders in the short-wave infrared range using index matching assisted with phase imaging. Powder Technology, 438, 119621 (2024), doi:10.1016/j.powtec.2024.119621; 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

Pharmacoat 606 (Hydroxypropyl methylcellulose, HPMC), Juntunen et al. 2024: n 1.10–1.65 µm: n and k versus wavelength
λ (µm)	n
1.1	1.481329
1.10112	1.48132
1.10224	1.481311
1.10336	1.481302
1.10448	1.481293
1.1056	1.481284
1.10673	1.481276
1.10785	1.481267
1.10898	1.481258
1.11011	1.481249
1.11124	1.48124
1.11237	1.481232
1.1135	1.481223
1.11463	1.481214
1.11576	1.481205
1.1169	1.481197
1.11803	1.481188
1.11917	1.481179
1.12031	1.481171
1.12145	1.481162
1.12259	1.481154
1.12373	1.481145
1.12487	1.481136
1.12601	1.481128
1.12716	1.481119
1.1283	1.481111
1.12945	1.481102
1.1306	1.481094
1.13175	1.481085
1.1329	1.481077
1.13405	1.481068
1.1352	1.48106
1.13636	1.481052
1.13751	1.481043
1.13867	1.481035
1.13983	1.481027
1.14099	1.481018
1.14215	1.48101
1.14331	1.481002
1.14447	1.480993
1.14563	1.480985
1.1468	1.480977
1.14796	1.480969
1.14913	1.480961
1.1503	1.480952
1.15147	1.480944
1.15264	1.480936
1.15381	1.480928
1.15499	1.48092
1.15616	1.480912
1.15734	1.480904
1.15851	1.480896
1.15969	1.480888
1.16087	1.48088
1.16205	1.480872
1.16323	1.480864
1.16441	1.480856
1.1656	1.480848
1.16678	1.48084
1.16797	1.480832
1.16916	1.480824
1.17035	1.480816
1.17153	1.480808
1.17273	1.4808
1.17392	1.480792
1.17511	1.480785
1.17631	1.480777
1.1775	1.480769
1.1787	1.480761
1.1799	1.480753
1.1811	1.480746
1.1823	1.480738
1.1835	1.48073
1.1847	1.480723
1.18591	1.480715
1.18711	1.480707
1.18832	1.4807
1.18953	1.480692
1.19074	1.480684
1.19195	1.480677
1.19316	1.480669
1.19437	1.480662
1.19559	1.480654
1.1968	1.480646
1.19802	1.480639
1.19924	1.480631
1.20046	1.480624
1.20168	1.480616
1.2029	1.480609
1.20412	1.480602
1.20535	1.480594
1.20657	1.480587
1.2078	1.480579
1.20903	1.480572
1.21026	1.480565
1.21149	1.480557
1.21272	1.48055
1.21395	1.480543
1.21519	1.480535
1.21642	1.480528
1.21766	1.480521
1.2189	1.480513
1.22014	1.480506
1.22138	1.480499
1.22262	1.480492
1.22386	1.480485
1.22511	1.480477
1.22635	1.48047
1.2276	1.480463
1.22885	1.480456
1.2301	1.480449
1.23135	1.480442
1.2326	1.480435
1.23385	1.480428
1.23511	1.48042
1.23636	1.480413
1.23762	1.480406
1.23888	1.480399
1.24014	1.480392
1.2414	1.480385
1.24266	1.480378
1.24392	1.480371
1.24519	1.480364
1.24645	1.480358
1.24772	1.480351
1.24899	1.480344
1.25026	1.480337
1.25153	1.48033
1.2528	1.480323
1.25408	1.480316
1.25535	1.480309
1.25663	1.480303
1.25791	1.480296
1.25919	1.480289
1.26047	1.480282
1.26175	1.480276
1.26303	1.480269
1.26431	1.480262
1.2656	1.480255
1.26689	1.480249
1.26817	1.480242
1.26946	1.480235
1.27075	1.480229
1.27205	1.480222
1.27334	1.480215
1.27463	1.480209
1.27593	1.480202
1.27723	1.480195
1.27853	1.480189
1.27983	1.480182
1.28113	1.480176
1.28243	1.480169
1.28373	1.480163
1.28504	1.480156
1.28635	1.48015
1.28765	1.480143
1.28896	1.480137
1.29027	1.48013
1.29159	1.480124
1.2929	1.480117
1.29421	1.480111
1.29553	1.480105
1.29685	1.480098
1.29816	1.480092
1.29948	1.480085
1.30081	1.480079
1.30213	1.480073
1.30345	1.480066
1.30478	1.48006
1.3061	1.480054
1.30743	1.480048
1.30876	1.480041
1.31009	1.480035
1.31142	1.480029
1.31276	1.480023
1.31409	1.480016
1.31543	1.48001
1.31677	1.480004
1.3181	1.479998
1.31944	1.479992
1.32079	1.479985
1.32213	1.479979
1.32347	1.479973
1.32482	1.479967
1.32617	1.479961
1.32751	1.479955
1.32886	1.479949
1.33021	1.479943
1.33157	1.479937
1.33292	1.479931
1.33428	1.479925
1.33563	1.479919
1.33699	1.479913
1.33835	1.479907
1.33971	1.479901
1.34107	1.479895
1.34244	1.479889
1.3438	1.479883
1.34517	1.479877
1.34654	1.479871
1.3479	1.479865
1.34927	1.479859
1.35065	1.479853
1.35202	1.479847
1.35339	1.479842
1.35477	1.479836
1.35615	1.47983
1.35753	1.479824
1.35891	1.479818
1.36029	1.479812
1.36167	1.479807
1.36306	1.479801
1.36444	1.479795
1.36583	1.479789
1.36722	1.479784
1.36861	1.479778
1.37	1.479772
1.37139	1.479767
1.37279	1.479761
1.37418	1.479755
1.37558	1.47975
1.37698	1.479744
1.37838	1.479738
1.37978	1.479733
1.38118	1.479727
1.38259	1.479721
1.38399	1.479716
1.3854	1.47971
1.38681	1.479705
1.38822	1.479699
1.38963	1.479694
1.39104	1.479688
1.39246	1.479683
1.39387	1.479677
1.39529	1.479672
1.39671	1.479666
1.39813	1.479661
1.39955	1.479655
1.40097	1.47965
1.4024	1.479644
1.40382	1.479639
1.40525	1.479633
1.40668	1.479628
1.40811	1.479623
1.40954	1.479617
1.41097	1.479612
1.41241	1.479606
1.41384	1.479601
1.41528	1.479596
1.41672	1.47959
1.41816	1.479585
1.4196	1.47958
1.42105	1.479574
1.42249	1.479569
1.42394	1.479564
1.42539	1.479559
1.42683	1.479553
1.42828	1.479548
1.42974	1.479543
1.43119	1.479538
1.43265	1.479532
1.4341	1.479527
1.43556	1.479522
1.43702	1.479517
1.43848	1.479512
1.43994	1.479507
1.44141	1.479501
1.44287	1.479496
1.44434	1.479491
1.44581	1.479486
1.44728	1.479481
1.44875	1.479476
1.45022	1.479471
1.4517	1.479466
1.45317	1.479461
1.45465	1.479456
1.45613	1.479451
1.45761	1.479446
1.45909	1.479441
1.46058	1.479436
1.46206	1.479431
1.46355	1.479426
1.46504	1.479421
1.46653	1.479416
1.46802	1.479411
1.46951	1.479406
1.471	1.479401
1.4725	1.479396
1.474	1.479391
1.47549	1.479386
1.47699	1.479381
1.4785	1.479376
1.48	1.479371
1.4815	1.479367
1.48301	1.479362
1.48452	1.479357
1.48603	1.479352
1.48754	1.479347
1.48905	1.479342
1.49056	1.479338
1.49208	1.479333
1.4936	1.479328
1.49512	1.479323
1.49664	1.479318
1.49816	1.479314
1.49968	1.479309
1.50121	1.479304
1.50273	1.479299
1.50426	1.479295
1.50579	1.47929
1.50732	1.479285
1.50885	1.479281
1.51039	1.479276
1.51192	1.479271
1.51346	1.479267
1.515	1.479262
1.51654	1.479257
1.51808	1.479253
1.51962	1.479248
1.52117	1.479243
1.52272	1.479239
1.52426	1.479234
1.52581	1.47923
1.52736	1.479225
1.52892	1.479221
1.53047	1.479216
1.53203	1.479211
1.53359	1.479207
1.53515	1.479202
1.53671	1.479198
1.53827	1.479193
1.53983	1.479189
1.5414	1.479184
1.54296	1.47918
1.54453	1.479175
1.5461	1.479171
1.54768	1.479167
1.54925	1.479162
1.55082	1.479158
1.5524	1.479153
1.55398	1.479149
1.55556	1.479144
1.55714	1.47914
1.55872	1.479136
1.56031	1.479131
1.5619	1.479127
1.56348	1.479123
1.56507	1.479118
1.56666	1.479114
1.56826	1.47911
1.56985	1.479105
1.57145	1.479101
1.57305	1.479097
1.57465	1.479092
1.57625	1.479088
1.57785	1.479084
1.57945	1.479079
1.58106	1.479075
1.58267	1.479071
1.58428	1.479067
1.58589	1.479062
1.5875	1.479058
1.58911	1.479054
1.59073	1.47905
1.59235	1.479046
1.59396	1.479041
1.59559	1.479037
1.59721	1.479033
1.59883	1.479029
1.60046	1.479025
1.60208	1.479021
1.60371	1.479016
1.60534	1.479012
1.60698	1.479008
1.60861	1.479004
1.61025	1.479
1.61188	1.478996
1.61352	1.478992
1.61516	1.478988
1.6168	1.478984
1.61845	1.47898
1.62009	1.478976
1.62174	1.478972
1.62339	1.478967
1.62504	1.478963
1.62669	1.478959
1.62835	1.478955
1.63	1.478951
1.63166	1.478947
1.63332	1.478943
1.63498	1.478939
1.63664	1.478935
1.6383	1.478932
1.63997	1.478928
1.64164	1.478924
1.64331	1.47892
1.64498	1.478916
1.64665	1.478912
1.64832	1.478908
1.65	1.478904

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