Optical constants

Refractive index of J-K3 (HIKARI)

J-K3: n,k 0.365–2.058 µm

Data
formula 3 + tabulated k
Range
0.365–2.058 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.058 µm
Refractive index n
1.51823
Extinction coefficient k
2.45299e-08
Permittivity ε1
2.30502
Permittivity ε2
7.44841e-08
Absorption coefficient α
0.00524595 cm⁻¹
Penetration depth δ = λ/(2πk)
3.81246e+09 nm
Abbe number Vd
58.817
Chromatic dispersion dn/dλ
-0.0454857 µm⁻¹
Group index ng
1.54496
Group velocity dispersion
79.7759 fs²/mm
Dispersion parameter D
-435.22 ps/(nm·km)
Photon energy
2.11001 eV

ε = (n + ik)², α = 4πk/λ, ng = 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

# J-K3 (HIKARI): J-K3
hikari_j_k3 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-K3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_k3.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_k3.eps([633])  # complex permittivity

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

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

Polynomial (formula 3), λ in µm
n2=2.27169182−0.00815289465⁢λ2.0−6.46337623×10-5⁢λ4.0+0.0119516164⁢λ−2.0+0.00017667373⁢λ−4.0+1.45062194×10-6⁢λ−6.0+2.2485209×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.27169182
C2-0.00815289465
C32.0
C4-6.46337623e-05
C54.0
C60.0119516164
C7-2.0
C80.00017667373
C9-4.0
C101.45062194e-06
C11-6.0
C122.2485209e-07
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -3.228e-06 1.2024e-08 -1.9137e-12 5.3014e-07 4.7672e-10 0.20454
nd
1.518230
Vd
58.816848
density
value: 2500
thermal expansion
value: 8.9e-06, temperature range: 243 343
dPgF
-0.0008
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = -7.50e-07 K⁻¹ at 633 nm, dn/dT = -1.22e-06 K⁻¹ at 1310 nm, dn/dT = -1.26e-06 K⁻¹ at 1550 nm

References

Cite

NIKON Zemax catalog 2017-11 (obtained from http://www.nikon.com); See also HIKARI glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 421 wavelengths, the same grid as the API and the library
J-K3 (HIKARI), J-K3: n and k versus wavelength
λ (µm)nk
0.3650151.5399961.488669e-07
0.3666011.5396721.358514e-07
0.3681931.5393531.227793e-07
0.3697931.5390371.096505e-07
0.371.5389961.079500e-07
0.3713991.5387241.026905e-07
0.3730131.5384149.662602e-08
0.3746331.5381089.053521e-08
0.3762611.5378058.441795e-08
0.3778951.5375057.827411e-08
0.3795371.5372087.210358e-08
0.381.5371257.036300e-08
0.3811861.5369146.683514e-08
0.3828421.5366236.190816e-08
0.3845051.5363365.695978e-08
0.3861751.5360515.198990e-08
0.3878531.5357694.699843e-08
0.3895381.535494.198528e-08
0.391.5354144.061000e-08
0.391231.5352143.915465e-08
0.392931.5349413.714369e-08
0.3946371.534673.512399e-08
0.3963511.5344033.309552e-08
0.3980731.5341383.105824e-08
0.3998021.5338752.901211e-08
0.41.5338452.877800e-08
0.4015391.5336162.837017e-08
0.4032831.5333582.790791e-08
0.4050351.5331042.744364e-08
0.4067951.5328522.697736e-08
0.4085621.5326032.650905e-08
0.4103371.5323562.603870e-08
0.412121.5321112.556631e-08
0.413911.5318692.509187e-08
0.4157081.531632.461537e-08
0.4175141.5313922.413680e-08
0.4193281.5311572.365614e-08
0.421.5310712.347800e-08
0.4211491.5309252.354225e-08
0.4229791.5306942.364453e-08
0.4248171.5304662.374724e-08
0.4266621.530242.385041e-08
0.4285161.5300172.395402e-08
0.4303771.5297952.405808e-08
0.4322471.5295762.416259e-08
0.4341251.5293592.426756e-08
0.436011.5291442.437299e-08
0.4379051.528932.447887e-08
0.4398071.5287192.458521e-08
0.441.5286982.459600e-08
0.4417181.528512.437563e-08
0.4436371.5283032.412943e-08
0.4455641.5280982.388217e-08
0.4474991.5278952.363383e-08
0.4494431.5276942.338440e-08
0.4513961.5274952.313390e-08
0.4533571.5272982.288231e-08
0.4553261.5271022.262962e-08
0.4573041.5269092.237584e-08
0.4592911.5267172.212095e-08
0.461.5266492.203000e-08
0.4612861.5265272.209155e-08
0.463291.5263382.218744e-08
0.4653031.5261522.228375e-08
0.4673241.5259672.238047e-08
0.4693541.5257842.247761e-08
0.4713931.5256032.257518e-08
0.4734411.5254232.267317e-08
0.4754981.5252452.277158e-08
0.4775641.5250692.287042e-08
0.4796381.5248942.296970e-08
0.481.5248642.298700e-08
0.4817221.5247212.272499e-08
0.4838151.5245492.240659e-08
0.4859171.5243792.208680e-08
0.4880271.5242112.176562e-08
0.4901481.5240442.144304e-08
0.4922771.5238792.111907e-08
0.4944151.5237152.079369e-08
0.4965631.5235522.046689e-08
0.4987211.5233912.013867e-08
0.51.5232971.994400e-08
0.5008871.5232322.005747e-08
0.5030631.5230742.033582e-08
0.5052481.5229172.061538e-08
0.5074431.5227622.089616e-08
0.5096481.5226082.117815e-08
0.5118621.5224552.146137e-08
0.5140861.5223042.174582e-08
0.5163191.5221542.203150e-08
0.5185621.5220062.231843e-08
0.5208151.5218582.260660e-08
0.5230771.5217122.289603e-08
0.5253491.5215682.318671e-08
0.5276321.5214242.347865e-08
0.5299241.5212822.377186e-08
0.5322261.5211412.406635e-08
0.5345381.5210012.436212e-08
0.536861.5208632.465917e-08
0.5391931.5207252.495751e-08
0.5415351.5205892.525715e-08
0.5438871.5204542.555808e-08
0.546251.520322.586033e-08
0.5486231.5201882.616389e-08
0.551.5201122.634000e-08
0.5510071.5200562.629154e-08
0.55341.5199262.617631e-08
0.5558041.5197962.606057e-08
0.5582191.5196682.594434e-08
0.5606441.5195412.582760e-08
0.563081.5194152.571035e-08
0.5655261.519292.559259e-08
0.5679821.5191652.547432e-08
0.570451.5190422.535554e-08
0.5729281.518922.523624e-08
0.5754171.5187992.511642e-08
0.5779171.5186792.499609e-08
0.5804271.518562.487522e-08
0.5829491.5184422.475384e-08
0.5854811.5183252.463193e-08
0.5880251.5182092.450948e-08
0.5905791.5180942.438651e-08
0.5931451.5179792.426300e-08
0.5957221.5178662.413896e-08
0.598311.5177542.401437e-08
0.61.5176812.393300e-08
0.6009091.5176422.406381e-08
0.6035191.5175312.443951e-08
0.6061411.5174212.481684e-08
0.6087741.5173122.519582e-08
0.6114191.5172042.557644e-08
0.6140751.5170972.595871e-08
0.6167431.5169912.634264e-08
0.6194221.5168852.672824e-08
0.6221131.516782.711552e-08
0.6248161.5166762.750448e-08
0.627531.5165732.789513e-08
0.6302561.5164712.828747e-08
0.6329941.5163692.868152e-08
0.6357441.5162682.907728e-08
0.6385061.5161682.947477e-08
0.641281.5160692.987397e-08
0.6440661.515973.027492e-08
0.6468641.5158723.067760e-08
0.6496741.5157753.108203e-08
0.651.5157643.112900e-08
0.6524961.5156783.124851e-08
0.6553311.5155833.138423e-08
0.6581781.5154883.152054e-08
0.6610371.5153933.165744e-08
0.6639081.51533.179494e-08
0.6667931.5152073.193303e-08
0.6696891.5151143.207173e-08
0.6725991.5150233.221102e-08
0.6755211.5149323.235092e-08
0.6784551.5148413.249143e-08
0.6814031.5147513.263255e-08
0.6843631.5146623.277429e-08
0.6873361.5145743.291664e-08
0.6903221.5144863.305960e-08
0.6933211.5143993.320319e-08
0.6963331.5143123.334740e-08
0.6993581.5142263.349224e-08
0.71.5142083.352300e-08
0.7023961.514143.409875e-08
0.7054471.5140553.483206e-08
0.7085121.5139713.556855e-08
0.711591.5138873.630824e-08
0.7146811.5138043.705115e-08
0.7177861.5137213.779728e-08
0.7209041.5136393.854665e-08
0.7240361.5135573.929928e-08
0.7271811.5134764.005518e-08
0.730341.5133954.081436e-08
0.7335131.5133154.157684e-08
0.73671.5132354.234263e-08
0.73991.5131564.311175e-08
0.7431141.5130774.388421e-08
0.7463421.5129994.466002e-08
0.7495851.5129214.543921e-08
0.7528411.5128444.622178e-08
0.7561121.5127674.700775e-08
0.7593961.5126914.779714e-08
0.7626951.5126154.858995e-08
0.7660091.512544.938621e-08
0.7693361.5124655.018593e-08
0.7726791.512395.098912e-08
0.7760351.5123165.179580e-08
0.7794071.5122425.260599e-08
0.7827931.5121695.341969e-08
0.7861931.5120965.423693e-08
0.7896091.5120235.505773e-08
0.7930391.5119515.588208e-08
0.7964841.5118795.671002e-08
0.7999441.5118085.754155e-08
0.81.5118075.755500e-08
0.8034191.5117375.607733e-08
0.8069091.5116665.456895e-08
0.8104151.5115965.305402e-08
0.8139351.5115265.153251e-08
0.8174711.5114575.000439e-08
0.8210231.5113874.846963e-08
0.8245891.5113184.692820e-08
0.8281721.511254.538008e-08
0.8317691.5111824.382523e-08
0.8353831.5111144.226363e-08
0.8390121.5110464.069524e-08
0.8426571.5109793.912004e-08
0.8463171.5109123.753799e-08
0.8499941.5108453.594908e-08
0.8536871.5107793.435326e-08
0.8573951.5107133.275051e-08
0.861121.5106473.114079e-08
0.8648611.5105812.952408e-08
0.8686181.5105162.790035e-08
0.8723911.5104512.626957e-08
0.8761811.5103862.463170e-08
0.8799881.5103222.298671e-08
0.8838111.5102582.133458e-08
0.887651.5101941.967527e-08
0.8915061.510131.800876e-08
0.8953791.5100661.633500e-08
0.8992691.5100031.465397e-08
0.91.5099911.433800e-08
0.9031751.509941.514937e-08
0.9070991.5098771.615189e-08
0.911041.5098141.715877e-08
0.9149981.5097521.817002e-08
0.9189721.509691.918566e-08
0.9229651.5096282.020572e-08
0.9269741.5095662.123020e-08
0.9310011.5095042.225914e-08
0.9350461.5094432.329255e-08
0.9391081.5093822.433044e-08
0.9431881.509322.537285e-08
0.9472851.509262.641978e-08
0.95141.5091992.747126e-08
0.9555331.5091382.852731e-08
0.9596841.5090782.958795e-08
0.9638531.5090173.065320e-08
0.9680411.5089573.172307e-08
0.9722461.5088973.279759e-08
0.976471.5088373.387678e-08
0.9807121.5087783.496065e-08
0.9849721.5087183.604924e-08
0.9892511.5086583.714255e-08
0.9935491.5085993.824062e-08
0.9978651.508543.934345e-08
11.5085113.988900e-08
1.00221.5084813.976583e-08
1.006551.5084223.952206e-08
1.010931.5083633.927724e-08
1.015321.5083043.903134e-08
1.019731.5082453.878438e-08
1.024161.5081863.853635e-08
1.028611.5081283.828724e-08
1.033081.5080693.803705e-08
1.037561.508013.778577e-08
1.042071.5079523.753340e-08
1.04661.5078943.727993e-08
1.051151.5078353.702537e-08
1.055711.5077773.676969e-08
1.06031.5077193.651291e-08
1.06491.5076613.625501e-08
1.069531.5076033.599599e-08
1.074181.5075443.573584e-08
1.078841.5074863.547456e-08
1.083531.5074283.521215e-08
1.088241.507373.494860e-08
1.092961.5073123.468391e-08
1.097711.5072543.441806e-08
1.102481.5071963.415106e-08
1.107271.5071383.388290e-08
1.112081.507083.361357e-08
1.116911.5070223.334308e-08
1.121761.5069643.307141e-08
1.126641.5069063.279856e-08
1.131531.5068483.252452e-08
1.136451.506793.224929e-08
1.141381.5067313.197287e-08
1.146341.5066733.169525e-08
1.151321.5066153.141642e-08
1.156321.5065573.113638e-08
1.161351.5064983.085512e-08
1.166391.506443.057264e-08
1.171461.5063823.028894e-08
1.176551.5063233.000400e-08
1.181661.5062642.971782e-08
1.186791.5062062.943040e-08
1.191951.5061472.914173e-08
1.197131.5060882.885181e-08
1.21.5060552.869100e-08
1.202331.5060292.992286e-08
1.207551.505973.268617e-08
1.21281.5059113.546148e-08
1.218071.5058523.824884e-08
1.223361.5057924.104832e-08
1.228671.5057334.385996e-08
1.234011.5056734.668381e-08
1.239371.5056144.951993e-08
1.244751.5055545.236837e-08
1.250161.5054945.522918e-08
1.255591.5054345.810242e-08
1.261051.5053736.098815e-08
1.266531.5053136.388641e-08
1.272031.5052526.679726e-08
1.277551.5051926.972076e-08
1.28311.5051317.265696e-08
1.288681.505077.560591e-08
1.294281.5050097.856767e-08
1.29991.5049478.154230e-08
1.305551.5048868.452985e-08
1.311221.5048248.753039e-08
1.316911.5047629.054395e-08
1.322641.50479.357061e-08
1.328381.5046389.661042e-08
1.334151.5045759.966343e-08
1.339951.5045121.027297e-07
1.345771.5044491.058093e-07
1.351621.5043861.089023e-07
1.357491.5043231.120087e-07
1.363381.5042591.151286e-07
1.369311.5041951.182621e-07
1.375261.5041311.214091e-07
1.381231.5040661.245699e-07
1.387231.5040021.277443e-07
1.393261.5039371.309326e-07
1.399311.5038721.341347e-07
1.41.5038641.345000e-07
1.405391.5038061.353651e-07
1.411491.5037411.363453e-07
1.417631.5036751.373298e-07
1.423781.5036081.383185e-07
1.429971.5035421.393116e-07
1.436181.5034751.403089e-07
1.442421.5034081.413106e-07
1.448691.503341.423167e-07
1.454981.5032721.433271e-07
1.46131.5032041.443419e-07
1.467651.5031361.453611e-07
1.474031.5030671.463847e-07
1.480431.5029981.474128e-07
1.486861.5029291.484454e-07
1.493321.5028591.494824e-07
1.499811.5027891.505239e-07
1.506321.5027181.515700e-07
1.512871.5026471.526206e-07
1.519441.5025761.536758e-07
1.526041.5025041.547355e-07
1.532671.5024321.557999e-07
1.539331.502361.568689e-07
1.546011.5022871.579425e-07
1.552731.5022141.590208e-07
1.559481.5021411.601038e-07
1.566251.5020671.611915e-07
1.573051.5019921.622839e-07
1.579891.5019171.633810e-07
1.586751.5018421.644830e-07
1.593641.5017661.655897e-07
1.61.5016971.666100e-07
1.600571.501691.679671e-07
1.607521.5016141.845829e-07
1.61451.5015372.012709e-07
1.621521.5014592.180314e-07
1.628561.5013812.348647e-07
1.635641.5013032.517712e-07
1.642741.5012242.687510e-07
1.649881.5011442.858047e-07
1.657051.5010643.029324e-07
1.664251.5009843.201345e-07
1.671481.5009033.374114e-07
1.678741.5008223.547633e-07
1.686031.500743.721906e-07
1.693351.5006573.896936e-07
1.700711.5005744.072727e-07
1.70811.5004914.249281e-07
1.715521.5004064.426602e-07
1.722971.5003224.604694e-07
1.730461.5002364.783559e-07
1.737971.5001514.963201e-07
1.745521.5000645.143623e-07
1.753111.4999775.324830e-07
1.760721.499895.506823e-07
1.768371.4998015.689607e-07
1.776051.4997135.873186e-07
1.783771.4996236.057561e-07
1.791521.4995336.242738e-07
1.79931.4994436.428719e-07
1.81.4994346.445400e-07
1.807121.4993516.756466e-07
1.814971.4992597.099520e-07
1.822851.4991677.444063e-07
1.830771.4990737.790103e-07
1.838731.4989798.137647e-07
1.846711.4988858.486700e-07
1.854741.4987898.837270e-07
1.862791.4986939.189363e-07
1.870891.4985979.542985e-07
1.879011.4984999.898143e-07
1.887181.4984011.025484e-06
1.895371.4983021.061310e-06
1.903611.4982031.097290e-06
1.911881.4981021.133427e-06
1.920181.4980011.169721e-06
1.928531.4978991.206173e-06
1.93691.4977961.242783e-06
1.945321.4976931.279552e-06
1.953771.4975891.316481e-06
1.962261.4974841.353570e-06
1.970781.4973781.390821e-06
1.979341.4972711.428233e-06
1.987941.4971631.465808e-06
1.996581.4970551.503545e-06
21.4970121.518500e-06
2.005251.4969461.569853e-06
2.013961.4968361.655041e-06
2.022711.4967251.740598e-06
2.03151.4966131.826528e-06
2.040321.49651.912830e-06
2.049191.4963871.999508e-06
2.058091.4962722.086562e-06

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—