Optical constants

Refractive index of J-K5 (HIKARI)

J-K5: 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
1.52249
Extinction coefficient k
1.51379e-08
Permittivity ε1
2.31797
Permittivity ε2
4.60944e-08
Absorption coefficient α
0.00323737 cm⁻¹
Penetration depth δ = λ/(2πk)
6.17785e+09 nm
Abbe number Vd
59.214
Chromatic dispersion dn/dλ
-0.04558 µm⁻¹
Group index ng
1.54927
Group velocity dispersion
79.5372 fs²/mm
Dispersion parameter D
-433.918 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-K5 (HIKARI): J-K5
hikari_j_k5 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-K5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_k5.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_k5.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=2.28421062−0.00815537489⁢λ2.0−0.000105573054⁢λ4.0+0.0122386101⁢λ−2.0+0.000110833374⁢λ−4.0+9.05979458×10-6⁢λ−6.0−1.07673777×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.28421062
C2-0.00815537489
C32.0
C4-0.000105573054
C54.0
C60.0122386101
C7-2.0
C80.000110833374
C9-4.0
C109.05979458e-06
C11-6.0
C12-1.07673777e-07
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -2.6386e-07 1.3653e-08 -1.1144e-12 5.2084e-07 5.5907e-10 0.18473
nd
1.522490
Vd
59.213983
density
value: 2520
thermal expansion
value: 7.7e-06, temperature range: 243 343
dPgF
-0.001
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 4.99e-07 K⁻¹ at 633 nm, dn/dT = 1.94e-08 K⁻¹ at 1310 nm, dn/dT = -1.85e-08 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-K5 (HIKARI), J-K5: n and k versus wavelength
λ (µm)nk
0.3650151.5442511.397069e-07
0.3666011.5439281.266955e-07
0.3681931.5436091.136276e-07
0.3697931.5432931.005029e-07
0.371.5432539.880300e-08
0.3713991.5429819.352612e-08
0.3730131.5426718.744166e-08
0.3746331.5423658.133076e-08
0.3762611.5420627.519332e-08
0.3778951.5417636.902921e-08
0.3795371.5414666.283833e-08
0.381.5413836.109200e-08
0.3811861.5411735.791855e-08
0.3828421.5408825.348654e-08
0.3845051.5405954.903527e-08
0.3861751.540314.456467e-08
0.3878531.5400294.007465e-08
0.3895381.539753.556512e-08
0.391.5396743.432800e-08
0.391231.5394743.246183e-08
0.392931.5392012.988320e-08
0.3946371.5389312.729338e-08
0.3963511.5386632.469230e-08
0.3980731.5383982.207992e-08
0.3998021.5381361.945619e-08
0.41.5381061.915600e-08
0.4015391.5378771.897109e-08
0.4032831.537621.876151e-08
0.4050351.5373651.855101e-08
0.4067951.5371141.833960e-08
0.4085621.5368641.812726e-08
0.4103371.5366181.791401e-08
0.412121.5363731.769983e-08
0.413911.5361311.748472e-08
0.4157081.5358921.726868e-08
0.4175141.5356551.705170e-08
0.4193281.535421.683377e-08
0.421.5353341.675300e-08
0.4211491.5351871.679886e-08
0.4229791.5349571.687186e-08
0.4248171.5347291.694518e-08
0.4266621.5345031.701881e-08
0.4285161.534281.709277e-08
0.4303771.5340591.716705e-08
0.4322471.5338391.724165e-08
0.4341251.5336221.731657e-08
0.436011.5334071.739182e-08
0.4379051.5331941.746739e-08
0.4398071.5329831.754330e-08
0.441.5329621.755100e-08
0.4417181.5327741.730375e-08
0.4436371.5325681.702752e-08
0.4455641.5323631.675009e-08
0.4474991.532161.647146e-08
0.4494431.5319591.619161e-08
0.4513961.5317591.591055e-08
0.4533571.5315621.562827e-08
0.4553261.5313671.534476e-08
0.4573041.5311731.506003e-08
0.4592911.5309811.477405e-08
0.461.5309141.467200e-08
0.4612861.5307911.471303e-08
0.463291.5306031.477696e-08
0.4653031.5304171.484116e-08
0.4673241.5302321.490565e-08
0.4693541.5300491.497041e-08
0.4713931.5298681.503545e-08
0.4734411.5296881.510078e-08
0.4754981.529511.516639e-08
0.4775641.5293341.523228e-08
0.4796381.5291591.529846e-08
0.481.5291291.531000e-08
0.4817221.5289861.536485e-08
0.4838151.5288151.543150e-08
0.4859171.5286451.549844e-08
0.4880271.5284761.556568e-08
0.4901481.5283091.563320e-08
0.4922771.5281441.570102e-08
0.4944151.527981.576913e-08
0.4965631.5278171.583754e-08
0.4987211.5276561.590625e-08
0.51.5275621.594700e-08
0.5008871.5274971.597530e-08
0.5030631.5273391.604471e-08
0.5052481.5271821.611443e-08
0.5074431.5270271.618444e-08
0.5096481.5268731.625477e-08
0.5118621.526721.632539e-08
0.5140861.5265691.639633e-08
0.5163191.5264191.646757e-08
0.5185621.526271.653912e-08
0.5208151.5261231.661099e-08
0.5230771.5259771.668316e-08
0.5253491.5258321.675565e-08
0.5276321.5256881.682845e-08
0.5299241.5255461.690157e-08
0.5322261.5254051.697501e-08
0.5345381.5252651.704877e-08
0.536861.5251271.712284e-08
0.5391931.5249891.719724e-08
0.5415351.5248531.727196e-08
0.5438871.5247181.734701e-08
0.546251.5245841.742238e-08
0.5486231.5244511.749808e-08
0.551.5243751.754200e-08
0.5510071.5243191.747764e-08
0.55341.5241881.732458e-08
0.5558041.5240591.717087e-08
0.5582191.523931.701648e-08
0.5606441.5238031.686142e-08
0.563081.5236771.670569e-08
0.5655261.5235511.654929e-08
0.5679821.5234271.639220e-08
0.570451.5233041.623443e-08
0.5729281.5231821.607598e-08
0.5754171.5230611.591683e-08
0.5779171.522941.575700e-08
0.5804271.5228211.559647e-08
0.5829491.5227031.543525e-08
0.5854811.5225851.527332e-08
0.5880251.5224691.511069e-08
0.5905791.5223531.494736e-08
0.5931451.5222391.478331e-08
0.5957221.5221251.461855e-08
0.598311.5220121.445308e-08
0.61.521941.434500e-08
0.6009091.5219011.436674e-08
0.6035191.521791.442918e-08
0.6061411.521681.449190e-08
0.6087741.521571.455488e-08
0.6114191.5214621.461814e-08
0.6140751.5213541.468168e-08
0.6167431.5212481.474549e-08
0.6194221.5211421.480958e-08
0.6221131.5210371.487395e-08
0.6248161.5209321.493859e-08
0.627531.5208291.500352e-08
0.6302561.5207261.506873e-08
0.6329941.5206241.513422e-08
0.6357441.5205231.520000e-08
0.6385061.5204221.526606e-08
0.641281.5203231.533241e-08
0.6440661.5202241.539905e-08
0.6468641.5201261.546598e-08
0.6496741.5200281.553319e-08
0.651.5200171.554100e-08
0.6524961.5199311.587971e-08
0.6553311.5198351.626436e-08
0.6581781.519741.665069e-08
0.6610371.5196451.703869e-08
0.6639081.5195511.742838e-08
0.6667931.5194581.781976e-08
0.6696891.5193651.821285e-08
0.6725991.5192731.860764e-08
0.6755211.5191811.900414e-08
0.6784551.5190911.940237e-08
0.6814031.5191.980233e-08
0.6843631.5189112.020402e-08
0.6873361.5188222.060746e-08
0.6903221.5187342.101266e-08
0.6933211.5186462.141961e-08
0.6963331.5185592.182833e-08
0.6993581.5184722.223883e-08
0.71.5184542.232600e-08
0.7023961.5183862.317001e-08
0.7054471.5183012.424498e-08
0.7085121.5182162.532461e-08
0.711591.5181322.640894e-08
0.7146811.5180482.749798e-08
0.7177861.5179652.859175e-08
0.7209041.5178822.969027e-08
0.7240361.51783.079356e-08
0.7271811.5177183.190165e-08
0.730341.5176373.301455e-08
0.7335131.5175573.413229e-08
0.73671.5174773.525488e-08
0.73991.5173973.638234e-08
0.7431141.5173183.751471e-08
0.7463421.5172393.865199e-08
0.7495851.5171613.979422e-08
0.7528411.5170834.094140e-08
0.7561121.5170064.209358e-08
0.7593961.5169294.325075e-08
0.7626951.5168534.441295e-08
0.7660091.5167774.558021e-08
0.7693361.5167014.675253e-08
0.7726791.5166264.792995e-08
0.7760351.5165524.911248e-08
0.7794071.5164785.030014e-08
0.7827931.5164045.149297e-08
0.7861931.516335.269098e-08
0.7896091.5162575.389419e-08
0.7930391.5161855.510263e-08
0.7964841.5161125.631633e-08
0.7999441.516045.753529e-08
0.81.5160395.755500e-08
0.8034191.5159695.583209e-08
0.8069091.5158985.407338e-08
0.8104151.5158275.230703e-08
0.8139351.5157575.053300e-08
0.8174711.5156874.875127e-08
0.8210231.5156174.696180e-08
0.8245891.5155474.516455e-08
0.8281721.5154784.335950e-08
0.8317691.515414.154660e-08
0.8353831.5153413.972583e-08
0.8390121.5152733.789715e-08
0.8426571.5152053.606053e-08
0.8463171.5151383.421592e-08
0.8499941.5150713.236330e-08
0.8536871.5150043.050264e-08
0.8573951.5149372.863389e-08
0.861121.5148712.675702e-08
0.8648611.5148052.487200e-08
0.8686181.5147392.297879e-08
0.8723911.5146732.107736e-08
0.8761811.5146081.916767e-08
0.8799881.5145431.724968e-08
0.8838111.5144781.532335e-08
0.887651.5144141.338866e-08
0.8915061.5143491.144557e-08
0.8953791.5142859.494029e-09
0.8992691.5142227.534015e-09
0.91.514217.165600e-09
0.9031751.5141587.950882e-09
0.9070991.5140958.921166e-09
0.911041.5140319.895665e-09
0.9149981.5139681.087440e-08
0.9189721.5139061.185738e-08
0.9229651.5138431.284464e-08
0.9269741.5137811.383618e-08
0.9310011.5137181.483203e-08
0.9350461.5136561.583221e-08
0.9391081.5135951.683673e-08
0.9431881.5135331.784562e-08
0.9472851.5134721.885889e-08
0.95141.513411.987656e-08
0.9555331.5133492.089865e-08
0.9596841.5132882.192518e-08
0.9638531.5132272.295618e-08
0.9680411.5131662.399165e-08
0.9722461.5131062.503162e-08
0.976471.5130452.607610e-08
0.9807121.5129852.712513e-08
0.9849721.5129252.817871e-08
0.9892511.5128652.923687e-08
0.9935491.5128053.029962e-08
0.9978651.5127453.136699e-08
11.5127153.189500e-08
1.00221.5126853.185976e-08
1.006551.5126263.179001e-08
1.010931.5125663.171996e-08
1.015321.5125063.164961e-08
1.019731.5124473.157894e-08
1.024161.5123883.150798e-08
1.028611.5123293.143670e-08
1.033081.5122693.136512e-08
1.037561.512213.129322e-08
1.042071.5121513.122101e-08
1.04661.5120923.114849e-08
1.051151.5120333.107565e-08
1.055711.5119743.100250e-08
1.06031.5119163.092902e-08
1.06491.5118573.085523e-08
1.069531.5117983.078112e-08
1.074181.5117393.070669e-08
1.078841.5116813.063193e-08
1.083531.5116223.055685e-08
1.088241.5115633.048144e-08
1.092961.5115053.040571e-08
1.097711.5114463.032964e-08
1.102481.5113873.025325e-08
1.107271.5113283.017652e-08
1.112081.511273.009946e-08
1.116911.5112113.002206e-08
1.121761.5111522.994433e-08
1.126641.5110942.986626e-08
1.131531.5110352.978786e-08
1.136451.5109762.970911e-08
1.141381.5109172.963002e-08
1.146341.5108582.955058e-08
1.151321.5107992.947080e-08
1.156321.510742.939068e-08
1.161351.5106812.931020e-08
1.166391.5106222.922938e-08
1.171461.5105632.914821e-08
1.176551.5105042.906668e-08
1.181661.5104442.898480e-08
1.186791.5103852.890256e-08
1.191951.5103252.881997e-08
1.197131.5102662.873701e-08
1.21.5102332.869100e-08
1.202331.5102062.979165e-08
1.207551.5101463.226063e-08
1.21281.5100873.474034e-08
1.218071.5100273.723081e-08
1.223361.5099663.973211e-08
1.228671.5099064.224427e-08
1.234011.5098464.476735e-08
1.239371.5097854.730138e-08
1.244751.5097254.984643e-08
1.250161.5096645.240253e-08
1.255591.5096035.496974e-08
1.261051.5095425.754809e-08
1.266531.5094816.013765e-08
1.272031.5094196.273846e-08
1.277551.5093586.535057e-08
1.28311.5092966.797402e-08
1.288681.5092347.060888e-08
1.294281.5091727.325517e-08
1.29991.509117.591297e-08
1.305551.5090477.858231e-08
1.311221.5089858.126325e-08
1.316911.5089228.395583e-08
1.322641.5088598.666011e-08
1.328381.5087958.937614e-08
1.334151.5087329.210397e-08
1.339951.5086689.484364e-08
1.345771.5086049.759522e-08
1.351621.508541.003588e-07
1.357491.5084761.031343e-07
1.363381.5084111.059219e-07
1.369311.5083461.087216e-07
1.375261.5082811.115335e-07
1.381231.5082161.143576e-07
1.387231.508151.171939e-07
1.393261.5080841.200426e-07
1.399311.5080181.229036e-07
1.41.508011.232300e-07
1.405391.5079511.233574e-07
1.411491.5078841.235018e-07
1.417631.5078171.236468e-07
1.423781.507751.237925e-07
1.429971.5076821.239388e-07
1.436181.5076141.240857e-07
1.442421.5075461.242332e-07
1.448691.5074771.243814e-07
1.454981.5074081.245303e-07
1.46131.5073391.246798e-07
1.467651.5072691.248299e-07
1.474031.5071991.249807e-07
1.480431.5071291.251321e-07
1.486861.5070581.252842e-07
1.493321.5069871.254370e-07
1.499811.5069161.255904e-07
1.506321.5068441.257445e-07
1.512871.5067721.258993e-07
1.519441.5066991.260547e-07
1.526041.5066261.262108e-07
1.532671.5065531.263676e-07
1.539331.5064791.265251e-07
1.546011.5064051.266832e-07
1.552731.506331.268421e-07
1.559481.5062551.270016e-07
1.566251.506181.271618e-07
1.573051.5061041.273227e-07
1.579891.5060271.274844e-07
1.586751.505951.276467e-07
1.593641.5058731.278097e-07
1.61.5058021.279600e-07
1.600571.5057951.287936e-07
1.607521.5057171.390003e-07
1.61451.5056391.492513e-07
1.621521.5055591.595468e-07
1.628561.505481.698871e-07
1.635641.5053991.802723e-07
1.642741.5053191.907026e-07
1.649881.5052382.011782e-07
1.657051.5051562.116993e-07
1.664251.5050742.222661e-07
1.671481.5049912.328789e-07
1.678741.5049072.435377e-07
1.686031.5048232.542428e-07
1.693351.5047392.649945e-07
1.700711.5046542.757928e-07
1.70811.5045682.866381e-07
1.715521.5044822.975305e-07
1.722971.5043953.084702e-07
1.730461.5043083.194574e-07
1.737971.504223.304924e-07
1.745521.5041313.415752e-07
1.753111.5040423.527063e-07
1.760721.5039523.638857e-07
1.768371.5038623.751136e-07
1.776051.5037713.863904e-07
1.783771.5036793.977161e-07
1.791521.5035864.090910e-07
1.79931.5034934.205154e-07
1.81.5034854.215400e-07
1.807121.50344.385822e-07
1.814971.5033054.573768e-07
1.822851.503214.762530e-07
1.830771.5031144.952113e-07
1.838731.5030175.142519e-07
1.846711.502925.333752e-07
1.854741.5028225.525816e-07
1.862791.5027235.718714e-07
1.870891.5026245.912451e-07
1.879011.5025236.107029e-07
1.887181.5024226.302452e-07
1.895371.502326.498724e-07
1.903611.5022186.695849e-07
1.911881.5021146.893831e-07
1.920181.502017.092672e-07
1.928531.5019057.292377e-07
1.93691.5017997.492950e-07
1.945321.5016927.694394e-07
1.953771.5015847.896713e-07
1.962261.5014768.099911e-07
1.970781.5013668.303992e-07
1.979341.5012568.508960e-07
1.987941.5011458.714818e-07
1.996581.5010338.921570e-07
21.5009899.003500e-07
2.005251.500929.354724e-07
2.013961.5008069.937356e-07
2.022711.5006911.052252e-06
2.03151.5005761.111022e-06
2.040321.5004591.170048e-06
2.049191.5003411.229331e-06
2.058091.5002231.288870e-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
—