Optical constants

Refractive index of J-PKH1 (HIKARI)

J-PKH1: 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
1.5186
Extinction coefficient k
2.34385e-08
Permittivity ε1
2.30614
Permittivity ε2
7.11873e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
69.891
Chromatic dispersion dn/dλ
-0.0385602 µm⁻¹
Group index ng
1.54126
Group velocity dispersion
64.3752 fs²/mm
Dispersion parameter D
-351.201 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-PKH1 (HIKARI): J-PKH1
hikari_j_pkh1 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-PKH1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_pkh1.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_pkh1.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=2.27892705−0.00904327622⁢λ2.0−0.000110679206⁢λ4.0+0.0101870033⁢λ−2.0+9.31149884×10-5⁢λ−4.0+2.7225654×10-6⁢λ−6.0−1.82952398×10-8⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.27892705
C2-0.00904327622
C32.0
C4-0.000110679206
C54.0
C60.0101870033
C7-2.0
C89.31149884e-05
C9-4.0
C102.7225654e-06
C11-6.0
C12-1.82952398e-08
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 3.9674e-06 1.6064e-08 -1.5853e-12 3.5592e-07 2.7773e-10 0.19762
nd
1.518600
Vd
69.890785
density
value: 2600
thermal expansion
value: 6.3e-06, temperature range: 243 343
dPgF
0.0047
resistance
phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 2.12e-06 K⁻¹ at 633 nm, dn/dT = 1.76e-06 K⁻¹ at 1310 nm, dn/dT = 1.73e-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-PKH1 (HIKARI), J-PKH1: n and k versus wavelength
λ (µm)nk
0.3650151.5363977.051776e-08
0.3666011.5361416.605272e-08
0.3681931.5358876.156828e-08
0.3697931.5356355.706436e-08
0.371.5356035.648100e-08
0.3713991.5353865.454340e-08
0.3730131.5351395.230926e-08
0.3746331.5348955.006542e-08
0.3762611.5346534.781182e-08
0.3778951.5344144.554844e-08
0.3795371.5341764.327523e-08
0.381.534114.263400e-08
0.3811861.5339414.090570e-08
0.3828421.5337093.849197e-08
0.3845051.5334783.606776e-08
0.3861751.533253.363302e-08
0.3878531.5330243.118769e-08
0.3895381.53282.873175e-08
0.391.5327392.805800e-08
0.391231.5325782.814656e-08
0.392931.5323592.826893e-08
0.3946371.5321412.839183e-08
0.3963511.5319252.851527e-08
0.3980731.5317122.863924e-08
0.3998021.53152.876375e-08
0.41.5314762.877800e-08
0.4015391.5312912.966845e-08
0.4032831.5310833.067775e-08
0.4050351.5308783.169143e-08
0.4067951.5306743.270952e-08
0.4085621.5304733.373203e-08
0.4103371.5302733.475898e-08
0.412121.5300753.579039e-08
0.413911.5298793.682628e-08
0.4157081.5296843.786668e-08
0.4175141.5294923.891159e-08
0.4193281.5293013.996104e-08
0.421.5292314.035000e-08
0.4211491.5291124.148137e-08
0.4229791.5289254.328222e-08
0.4248171.5287394.509089e-08
0.4266621.5285554.690742e-08
0.4285161.5283734.873183e-08
0.4303771.5281935.056418e-08
0.4322471.5280145.240448e-08
0.4341251.5278375.425278e-08
0.436011.5276615.610911e-08
0.4379051.5274875.797351e-08
0.4398071.5273155.984600e-08
0.441.5272976.003600e-08
0.4417181.5271445.995072e-08
0.4436371.5269755.985545e-08
0.4455641.5268075.975976e-08
0.4474991.526645.966365e-08
0.4494431.5264765.956713e-08
0.4513961.5263125.947019e-08
0.4533571.526155.937283e-08
0.4553261.525995.927504e-08
0.4573041.5258315.917683e-08
0.4592911.5256735.907820e-08
0.461.5256185.904300e-08
0.4612861.5255175.846022e-08
0.463291.5253625.755234e-08
0.4653031.5252095.664051e-08
0.4673241.5250575.572472e-08
0.4693541.5249065.480495e-08
0.4713931.5247565.388119e-08
0.4734411.5246085.295342e-08
0.4754981.5244615.202161e-08
0.4775641.5243165.108576e-08
0.4796381.5241715.014584e-08
0.481.5241464.998200e-08
0.4817221.5240284.912159e-08
0.4838151.5238864.807596e-08
0.4859171.5237464.702580e-08
0.4880271.5236064.597107e-08
0.4901481.5234684.491176e-08
0.4922771.5233314.384784e-08
0.4944151.5231954.277931e-08
0.4965631.523064.170613e-08
0.4987211.5229274.062829e-08
0.51.5228483.998900e-08
0.5008871.5227943.966877e-08
0.5030631.5226633.888324e-08
0.5052481.5225333.809430e-08
0.5074431.5224033.730194e-08
0.5096481.5222753.650613e-08
0.5118621.5221483.570686e-08
0.5140861.5220223.490413e-08
0.5163191.5218973.409790e-08
0.5185621.5217733.328818e-08
0.5208151.5216513.247493e-08
0.5230771.5215293.165816e-08
0.5253491.5214083.083783e-08
0.5276321.5212883.001394e-08
0.5299241.5211692.918647e-08
0.5322261.5210512.835541e-08
0.5345381.5209342.752074e-08
0.536861.5208182.668244e-08
0.5391931.5207032.584050e-08
0.5415351.5205892.499490e-08
0.5438871.5204762.414563e-08
0.546251.5203632.329266e-08
0.5486231.5202522.243600e-08
0.551.5201882.193900e-08
0.5510071.5201412.197914e-08
0.55341.5200322.207460e-08
0.5558041.5199232.217048e-08
0.5582191.5198152.226677e-08
0.5606441.5197082.236348e-08
0.563081.5196012.246061e-08
0.5655261.5194962.255817e-08
0.5679821.5193912.265614e-08
0.570451.5192872.275454e-08
0.5729281.5191842.285337e-08
0.5754171.5190822.295263e-08
0.5779171.5189812.305232e-08
0.5804271.518882.315244e-08
0.5829491.518782.325300e-08
0.5854811.5186812.335400e-08
0.5880251.5185822.345543e-08
0.5905791.5184842.355731e-08
0.5931451.5183872.365962e-08
0.5957221.5182912.376238e-08
0.598311.5181962.386559e-08
0.61.5181342.393300e-08
0.6009091.5181012.434802e-08
0.6035191.5180072.554002e-08
0.6061411.5179132.673720e-08
0.6087741.517822.793958e-08
0.6114191.5177282.914718e-08
0.6140751.5176373.036003e-08
0.6167431.5175463.157815e-08
0.6194221.5174563.280156e-08
0.6221131.5173663.403029e-08
0.6248161.5172773.526435e-08
0.627531.5171893.650378e-08
0.6302561.5171013.774859e-08
0.6329941.5170143.899880e-08
0.6357441.5169284.025445e-08
0.6385061.5168424.151555e-08
0.641281.5167564.278214e-08
0.6440661.5166724.405422e-08
0.6468641.5165884.533183e-08
0.6496741.5165044.661499e-08
0.651.5164944.676400e-08
0.6524961.5164214.722431e-08
0.6553311.5163384.774707e-08
0.6581781.5162564.827210e-08
0.6610371.5161754.879940e-08
0.6639081.5160944.932900e-08
0.6667931.5160144.986090e-08
0.6696891.5159345.039511e-08
0.6725991.5158555.093164e-08
0.6755211.5157765.147050e-08
0.6784551.5156985.201171e-08
0.6814031.515625.255526e-08
0.6843631.5155425.310117e-08
0.6873361.5154655.364946e-08
0.6903221.5153895.420013e-08
0.6933211.5153135.475319e-08
0.6963331.5152385.530865e-08
0.6993581.5151635.586653e-08
0.71.5151475.598500e-08
0.7023961.5150885.586878e-08
0.7054471.5150145.572076e-08
0.7085121.514945.557209e-08
0.711591.5148675.542278e-08
0.7146811.5147945.527282e-08
0.7177861.5147215.512221e-08
0.7209041.5146495.497095e-08
0.7240361.5145785.481902e-08
0.7271811.5145065.466644e-08
0.730341.5144365.451320e-08
0.7335131.5143655.435929e-08
0.73671.5142955.420471e-08
0.73991.5142255.404945e-08
0.7431141.5141565.389353e-08
0.7463421.5140875.373693e-08
0.7495851.5140185.357964e-08
0.7528411.513955.342168e-08
0.7561121.5138825.326302e-08
0.7593961.5138145.310368e-08
0.7626951.5137475.294365e-08
0.7660091.513685.278292e-08
0.7693361.5136145.262149e-08
0.7726791.5135475.245936e-08
0.7760351.5134815.229653e-08
0.7794071.5134155.213299e-08
0.7827931.513355.196874e-08
0.7861931.5132855.180377e-08
0.7896091.513225.163809e-08
0.7930391.5131565.147169e-08
0.7964841.5130915.130456e-08
0.7999441.5130275.113671e-08
0.81.5130265.113400e-08
0.8034191.5129645.036711e-08
0.8069091.51294.958428e-08
0.8104151.5128374.879806e-08
0.8139351.5127744.800841e-08
0.8174711.5127114.721534e-08
0.8210231.5126494.641882e-08
0.8245891.5125874.561884e-08
0.8281721.5125254.481539e-08
0.8317691.5124634.400845e-08
0.8353831.5124024.319800e-08
0.8390121.512344.238403e-08
0.8426571.5122794.156652e-08
0.8463171.5122184.074546e-08
0.8499941.5121583.992084e-08
0.8536871.5120973.909263e-08
0.8573951.5120373.826082e-08
0.861121.5119773.742541e-08
0.8648611.5119173.658636e-08
0.8686181.5118573.574367e-08
0.8723911.5117983.489731e-08
0.8761811.5117383.404728e-08
0.8799881.5116793.319356e-08
0.8838111.511623.233613e-08
0.887651.5115613.147497e-08
0.8915061.5115033.061007e-08
0.8953791.5114442.974142e-08
0.8992691.5113852.886899e-08
0.91.5113752.870500e-08
0.9031751.5113272.906015e-08
0.9070991.5112692.949896e-08
0.911041.5112112.993969e-08
0.9149981.5111533.038232e-08
0.9189721.5110953.082688e-08
0.9229651.5110373.127337e-08
0.9269741.510983.172181e-08
0.9310011.5109223.217218e-08
0.9350461.5108653.262452e-08
0.9391081.5108083.307882e-08
0.9431881.5107513.353509e-08
0.9472851.5106933.399335e-08
0.95141.5106363.445360e-08
0.9555331.5105793.491584e-08
0.9596841.5105233.538010e-08
0.9638531.5104663.584637e-08
0.9680411.5104093.631467e-08
0.9722461.5103523.678500e-08
0.976471.5102963.725737e-08
0.9807121.5102393.773180e-08
0.9849721.5101833.820829e-08
0.9892511.5101263.868685e-08
0.9935491.510073.916748e-08
0.9978651.5100133.965021e-08
11.5099853.988900e-08
1.00221.5099573.987124e-08
1.006551.50993.983608e-08
1.010931.5098443.980077e-08
1.015321.5097883.976531e-08
1.019731.5097313.972969e-08
1.024161.5096753.969392e-08
1.028611.5096193.965799e-08
1.033081.5095623.962191e-08
1.037561.5095063.958567e-08
1.042071.509453.954927e-08
1.04661.5093933.951271e-08
1.051151.5093373.947600e-08
1.055711.5092813.943913e-08
1.06031.5092243.940209e-08
1.06491.5091683.936490e-08
1.069531.5091113.932754e-08
1.074181.5090543.929002e-08
1.078841.5089983.925234e-08
1.083531.5089413.921449e-08
1.088241.5088843.917649e-08
1.092961.5088283.913831e-08
1.097711.5087713.909997e-08
1.102481.5087143.906146e-08
1.107271.5086573.902279e-08
1.112081.50863.898394e-08
1.116911.5085433.894493e-08
1.121761.5084853.890575e-08
1.126641.5084283.886640e-08
1.131531.508373.882688e-08
1.136451.5083133.878718e-08
1.141381.5082553.874732e-08
1.146341.5081973.870728e-08
1.151321.5081393.866707e-08
1.156321.5080813.862668e-08
1.161351.5080233.858611e-08
1.166391.5079653.854537e-08
1.171461.5079073.850446e-08
1.176551.5078483.846336e-08
1.181661.5077893.842209e-08
1.186791.507733.838064e-08
1.191951.5076713.833901e-08
1.197131.5076123.829719e-08
1.21.5075793.827400e-08
1.202331.5075533.887021e-08
1.207551.5074934.020764e-08
1.21281.5074334.155088e-08
1.218071.5073744.289995e-08
1.223361.5073144.425488e-08
1.228671.5072534.561570e-08
1.234011.5071934.698242e-08
1.239371.5071324.835509e-08
1.244751.5070714.973372e-08
1.250161.507015.111834e-08
1.255591.5069495.250898e-08
1.261051.5068875.390565e-08
1.266531.5068265.530839e-08
1.272031.5067645.671723e-08
1.277551.5067015.813219e-08
1.28311.5066395.955329e-08
1.288681.5065766.098057e-08
1.294281.5065136.241405e-08
1.29991.506456.385375e-08
1.305551.5063876.529971e-08
1.311221.5063236.675195e-08
1.316911.5062596.821050e-08
1.322641.5061956.967539e-08
1.328381.506137.114664e-08
1.334151.5060657.262428e-08
1.339951.5067.410834e-08
1.345771.5059357.559885e-08
1.351621.5058697.709584e-08
1.357491.5058037.859932e-08
1.363381.5057378.010934e-08
1.369311.505678.162592e-08
1.375261.5056038.314908e-08
1.381231.5055358.467887e-08
1.387231.5054688.621530e-08
1.393261.50548.775840e-08
1.399311.5053318.930821e-08
1.41.5053248.948500e-08
1.405391.5052631.000075e-07
1.411491.5051941.119298e-07
1.417631.5051241.239040e-07
1.423781.5050541.359301e-07
1.429971.5049841.480085e-07
1.436181.5049131.601394e-07
1.442421.5048421.723230e-07
1.448691.5047711.845595e-07
1.454981.5046991.968492e-07
1.46131.5046272.091922e-07
1.467651.5045542.215889e-07
1.474031.5044812.340394e-07
1.480431.5044082.465440e-07
1.486861.5043342.591030e-07
1.493321.504262.717165e-07
1.499811.5041852.843848e-07
1.506321.504112.971081e-07
1.512871.5040343.098867e-07
1.519441.5039583.227208e-07
1.526041.5038813.356107e-07
1.532671.5038043.485565e-07
1.539331.5037263.615586e-07
1.546011.5036483.746172e-07
1.552731.503573.877325e-07
1.559481.5034914.009048e-07
1.566251.5034114.141343e-07
1.573051.5033314.274213e-07
1.579891.503254.407660e-07
1.586751.5031694.541687e-07
1.593641.5030874.676296e-07
1.61.5030124.800400e-07
1.600571.5030054.827821e-07
1.607521.5029225.163544e-07
1.61451.5028395.500726e-07
1.621521.5027555.839373e-07
1.628561.502676.179490e-07
1.635641.5025856.521086e-07
1.642741.5024996.864165e-07
1.649881.5024137.208735e-07
1.657051.5023267.554801e-07
1.664251.5022397.902371e-07
1.671481.502158.251451e-07
1.678741.5020628.602048e-07
1.686031.5019728.954167e-07
1.693351.5018829.307816e-07
1.700711.5017919.663002e-07
1.70811.50171.001973e-06
1.715521.5016081.037801e-06
1.722971.5015151.073784e-06
1.730461.5014221.109924e-06
1.737971.5013281.146221e-06
1.745521.5012331.182675e-06
1.753111.5011371.219288e-06
1.760721.5010411.256060e-06
1.768371.5009441.292992e-06
1.776051.5008461.330084e-06
1.783771.5007481.367337e-06
1.791521.5006481.404752e-06
1.79931.5005481.442330e-06
1.81.5005391.445700e-06
1.807121.5004471.493010e-06
1.814971.5003461.545185e-06
1.822851.5002431.597586e-06
1.830771.500141.650215e-06
1.838731.5000361.703073e-06
1.846711.4999311.756160e-06
1.854741.4998261.809478e-06
1.862791.4997191.863027e-06
1.870891.4996121.916810e-06
1.879011.4995041.970825e-06
1.887181.4993952.025076e-06
1.895371.4992852.079562e-06
1.903611.4991742.134285e-06
1.911881.4990622.189245e-06
1.920181.4989492.244445e-06
1.928531.4988362.299884e-06
1.93691.4987212.355564e-06
1.945321.4986052.411486e-06
1.953771.4984892.467651e-06
1.962261.4983722.524059e-06
1.970781.4982532.580713e-06
1.979341.4981342.637613e-06
1.987941.4980132.694760e-06
1.996581.4978922.752156e-06
21.4978442.774900e-06
2.005251.4977692.865995e-06
2.013961.4976463.017110e-06
2.022711.4975213.168881e-06
2.03151.4973963.321311e-06
2.040321.4972693.474404e-06
2.049191.4971413.628162e-06
2.058091.4970133.782587e-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
—