Optical constants

Refractive index of 5859 (HIKARI)

5859: n,k 0.3261–2.325 µm

Data
formula 2 + tabulated k
Range
0.3261–2.325 µm
Temperature
295.65 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3261–2.325 µm
Refractive index n
1.59042
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.52943
Permittivity ε2
1.48809e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
59.473
Chromatic dispersion dn/dλ
-0.0514827 µm⁻¹
Group index ng
1.62067
Group velocity dispersion
86.9355 fs²/mm
Dispersion parameter D
-474.279 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

# 5859 (HIKARI): 5859
hikari_5859 = ls.fetch_refractiveindex("specs", "HIKARI-misc", "5859", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_5859.range_nm)  # (326.11, 2325.42) nm
eps = hikari_5859.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

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=1.06973916λ2λ2−0.00562417858+0.422042806λ2λ2−0.0188055076+0.897510953λ2λ2−71.2142596

Valid from 0.32611 to 2.32542 µm.

Coefficients as stored
CiValue
C10.0
C21.06973916
C30.00562417858
C40.422042806
C50.0188055076
C60.897510953
C771.2142596

Comments and conditions

Conditions

temperature
295.65 K

Properties

thermal dispersion
type: formula A, coefficients: 6.18e-06 1.19e-08 2.91e-13 5.05e-07 1.07e-09 0.118
nd
1.590421
Vd
59.473084
density
value: 2870
thermal expansion
value: 4.3e-06, temperature range: 243 343
dPgF
-0.0084
resistance
acid: 7.0; alkali: 4.0; climatic: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 295.65 K): dn/dT = 3.59e-06 K⁻¹ at 633 nm, dn/dT = 3.04e-06 K⁻¹ at 1310 nm, dn/dT = 2.98e-06 K⁻¹ at 1550 nm

References

Cite

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

Data

Computed on 427 wavelengths, the same grid as the API and the library
5859 (HIKARI), 5859: n and k versus wavelength
λ (µm)nk
0.326111.6250642.847263e-08
0.327721.6245392.651530e-08
0.3293371.6240192.454830e-08
0.331.6238092.374200e-08
0.3309621.6235072.302413e-08
0.3325961.6232.180573e-08
0.3342371.62252.058131e-08
0.3358871.6220061.935086e-08
0.3375451.6215181.811432e-08
0.3392111.6210361.687169e-08
0.341.620811.628300e-08
0.3408851.6205591.607752e-08
0.3425671.6200881.568685e-08
0.3442581.6196231.529426e-08
0.3459571.6191641.489974e-08
0.3476651.618711.450326e-08
0.3493811.6182611.410483e-08
0.351.6181011.396100e-08
0.3511051.6178181.368708e-08
0.3528381.617381.325750e-08
0.3545791.6169471.282580e-08
0.3563291.616521.239197e-08
0.3580881.6160971.195600e-08
0.3598551.6156791.151787e-08
0.361.6156451.148200e-08
0.3616311.6152661.058306e-08
0.3634161.6148589.599544e-09
0.3651.6145028.726800e-09
0.365211.6144558.607945e-09
0.3670121.6140567.586941e-09
0.3688241.6136626.560897e-09
0.371.6134095.894600e-09
0.3706441.6132725.904860e-09
0.3724731.6128875.934001e-09
0.3743121.6125075.963285e-09
0.3761591.612135.992715e-09
0.3780161.6117586.022289e-09
0.3798811.6113916.052010e-09
0.381.6113676.053900e-09
0.3817561.6110275.536017e-09
0.383641.6106684.980417e-09
0.3855341.6103124.422074e-09
0.3874371.6099613.860975e-09
0.3893491.6096133.297108e-09
0.391.6094963.105100e-09
0.391271.609273.115213e-09
0.3932021.608933.130585e-09
0.3951421.6085943.146032e-09
0.3970921.6082623.161556e-09
0.3990521.6079333.177157e-09
0.41.6077763.184700e-09
0.4010221.6076083.192834e-09
0.4030011.6072873.208589e-09
0.404991.6069693.224421e-09
0.4069891.6066553.240332e-09
0.4089981.6063443.256321e-09
0.4110161.6060373.272389e-09
0.4130451.6057333.288537e-09
0.4150831.6054323.304764e-09
0.4171321.6051343.321071e-09
0.4191911.604843.337459e-09
0.421.6047263.343900e-09
0.421261.6045493.353934e-09
0.4233391.6042613.370494e-09
0.4254281.6039763.387136e-09
0.4275281.6036943.403860e-09
0.4296381.6034163.420667e-09
0.4317581.603143.437556e-09
0.4338891.6028673.454529e-09
0.4360311.6025973.471586e-09
0.4381831.602333.488727e-09
0.441.6021073.503200e-09
0.4403461.6020653.505951e-09
0.4425191.6018043.523250e-09
0.4447031.6015453.540635e-09
0.4468981.6012893.558106e-09
0.4491031.6010353.575663e-09
0.451321.6007853.593307e-09
0.4535471.6005363.611038e-09
0.4557861.6002913.628856e-09
0.4580351.6000483.646763e-09
0.461.5998393.662400e-09
0.4602961.5998073.664757e-09
0.4625681.5995693.682841e-09
0.4648511.5993333.701013e-09
0.4671451.59913.719276e-09
0.4694511.5988693.737628e-09
0.4717681.5986413.756071e-09
0.4740961.5984153.774606e-09
0.4764361.5981913.793231e-09
0.4787881.5979693.811949e-09
0.481.5978563.821600e-09
0.4811511.597753.830764e-09
0.4835251.5975323.849679e-09
0.4859121.5973173.868687e-09
0.488311.5971053.887789e-09
0.490721.5968943.906985e-09
0.4931421.5966853.926276e-09
0.4955761.5964783.945662e-09
0.4980221.5962743.965144e-09
0.51.5961113.980900e-09
0.500481.5960713.984720e-09
0.502951.5958714.004387e-09
0.5054321.5956724.024151e-09
0.5079271.5954754.044013e-09
0.5104341.595284.063973e-09
0.5129531.5950884.084031e-09
0.5154851.5948964.104188e-09
0.5180291.5947074.124445e-09
0.5205851.594524.144802e-09
0.5231551.5943344.165259e-09
0.5257371.594154.185817e-09
0.5283321.5939684.206476e-09
0.5309391.5937884.227238e-09
0.533561.5936094.248102e-09
0.5361931.5934324.269069e-09
0.5388391.5932574.290139e-09
0.5414991.5930834.311314e-09
0.5441711.5929114.332593e-09
0.5468571.592744.353977e-09
0.5495561.5925714.375467e-09
0.551.5925444.379000e-09
0.5522691.5924044.397058e-09
0.5549941.5922384.418754e-09
0.5577331.5920744.440558e-09
0.5604861.5919114.462470e-09
0.5632521.5917494.484489e-09
0.5660321.5915894.506617e-09
0.5688261.5914314.528855e-09
0.5716331.5912734.551202e-09
0.5744551.5911184.573660e-09
0.577291.5909634.596228e-09
0.5801391.590814.618908e-09
0.5830021.5906594.641700e-09
0.585881.5905084.664604e-09
0.5887711.5903594.687621e-09
0.5916771.5902114.710752e-09
0.5945981.5900654.733997e-09
0.5975321.589924.757356e-09
0.61.5897994.777000e-09
0.6004811.5897764.780832e-09
0.6034451.5896334.804429e-09
0.6064231.5894914.828142e-09
0.6094161.5893514.851973e-09
0.6124241.5892124.875921e-09
0.6154471.5890734.899987e-09
0.6184841.5889364.924172e-09
0.6215371.5888014.948476e-09
0.6246041.5886664.972900e-09
0.6276871.5885324.997445e-09
0.6307851.58845.022111e-09
0.6338981.5882685.046898e-09
0.6370271.5881385.071808e-09
0.6401711.5880085.096841e-09
0.6433311.587885.121998e-09
0.6465061.5877525.147278e-09
0.6496971.5876265.172684e-09
0.651.5876145.175100e-09
0.6529031.58755.198214e-09
0.6561251.5873765.223871e-09
0.6593641.5872525.249655e-09
0.6626181.587135.275565e-09
0.6658881.5870085.301604e-09
0.6691751.5868875.327771e-09
0.6724781.5867675.354067e-09
0.6757971.5866485.380493e-09
0.6791321.586535.407049e-09
0.6824841.5864125.433737e-09
0.6858521.5862965.460556e-09
0.6892371.586185.487508e-09
0.6926391.5860655.514592e-09
0.6960581.5859515.541811e-09
0.6994931.5858385.569163e-09
0.71.5858215.573200e-09
0.7029451.5857255.596651e-09
0.7064151.5856135.624274e-09
0.7099011.5855025.652034e-09
0.7134051.5853925.679930e-09
0.7169261.5852825.707964e-09
0.7204641.5851735.736137e-09
0.724021.5850655.764449e-09
0.7275941.5849585.792900e-09
0.7311851.5848515.821492e-09
0.7347931.5847455.850225e-09
0.738421.5846395.879100e-09
0.7420641.5845345.908117e-09
0.7457271.584435.937278e-09
0.7494071.5843275.966582e-09
0.7531061.5842235.996031e-09
0.7568231.5841216.025626e-09
0.7605581.5840196.055366e-09
0.7643121.5839186.085253e-09
0.7680841.5838176.115288e-09
0.7718751.5837176.145471e-09
0.7756851.5836176.175803e-09
0.7795131.5835186.206285e-09
0.7833611.583426.236917e-09
0.7872271.5833226.267700e-09
0.7911121.5832246.298635e-09
0.7950171.5831276.329723e-09
0.7989411.583036.360965e-09
0.81.5830056.369400e-09
0.8028841.5829346.392360e-09
0.8068461.5828396.423911e-09
0.8108291.5827436.455617e-09
0.814831.5826496.487479e-09
0.8188521.5825546.519499e-09
0.8228931.582466.551677e-09
0.8269551.5823676.584014e-09
0.8310361.5822746.616511e-09
0.8351381.5821816.649167e-09
0.839261.5820886.681985e-09
0.8434021.5819966.714965e-09
0.8475641.5819056.748108e-09
0.8517481.5818136.781414e-09
0.8559511.5817226.814885e-09
0.8601761.5816326.848521e-09
0.8644211.5815416.882323e-09
0.8686881.5814516.916291e-09
0.8729751.5813626.950428e-09
0.8772841.5812726.984733e-09
0.8816131.5811837.019207e-09
0.8859651.5810947.053851e-09
0.8903371.5810067.088666e-09
0.8947321.5809177.123653e-09
0.8991481.5808297.158813e-09
0.91.5808127.165600e-09
0.9035851.5807417.479869e-09
0.9080451.5806547.870775e-09
0.9125271.5805668.263610e-09
0.917031.5804798.658384e-09
0.9215561.5803929.055107e-09
0.9261051.5803059.453787e-09
0.9306761.5802189.854435e-09
0.9352691.5801321.025706e-08
0.9398851.5800451.066167e-08
0.9445241.5799591.106828e-08
0.9491851.5798731.147690e-08
0.953871.5797871.188753e-08
0.9585781.5797011.230019e-08
0.9633091.5796161.271489e-08
0.9680631.579531.313163e-08
0.9728411.5794441.355043e-08
0.9776431.5793591.397130e-08
0.9824681.5792741.439424e-08
0.9873171.5791881.481928e-08
0.992191.5791031.524641e-08
0.9970871.5790181.567564e-08
11.5789681.593100e-08
1.002011.5789331.586698e-08
1.006951.5788481.570930e-08
1.011921.5787631.555084e-08
1.016921.5786781.539160e-08
1.021941.5785931.523157e-08
1.026981.5785081.507075e-08
1.032051.5784231.490914e-08
1.037141.5783381.474673e-08
1.042261.5782531.458352e-08
1.047411.5781671.441950e-08
1.052571.5780821.425467e-08
1.057771.5779971.408903e-08
1.062991.5779121.392258e-08
1.068241.5778261.375530e-08
1.073511.5777411.358720e-08
1.078811.5776551.341826e-08
1.084131.577571.324849e-08
1.089481.5774841.307789e-08
1.094861.5773981.290644e-08
1.100261.5773121.273415e-08
1.105691.5772261.256100e-08
1.111151.577141.238700e-08
1.116641.5770531.221215e-08
1.122151.5769671.203643e-08
1.127681.576881.185984e-08
1.133251.5767931.168238e-08
1.138841.5767061.150404e-08
1.144461.5766191.132483e-08
1.150111.5765311.114473e-08
1.155791.5764431.096374e-08
1.161491.5763551.078186e-08
1.167231.5762671.059908e-08
1.172991.5761791.041540e-08
1.178781.576091.023081e-08
1.184591.5760011.004531e-08
1.190441.5759129.858896e-09
1.196321.5758229.671561e-09
1.21.5757669.554100e-09
1.202221.5757321.372665e-08
1.208151.5756422.487658e-08
1.214121.5755513.608154e-08
1.220111.5754614.734180e-08
1.226131.5753695.865764e-08
1.232181.5752787.002932e-08
1.238261.5751868.145713e-08
1.244381.5750949.294135e-08
1.250521.5750011.044822e-07
1.256691.5749081.160801e-07
1.262891.5748151.277352e-07
1.269121.5747211.394478e-07
1.275391.5746271.512182e-07
1.281681.5745331.630467e-07
1.288011.5744371.749336e-07
1.294371.5743421.868792e-07
1.300751.5742461.988837e-07
1.307171.574152.109475e-07
1.313631.5740532.230708e-07
1.320111.5739552.352540e-07
1.326621.5738582.474972e-07
1.333171.5737592.598009e-07
1.339751.573662.721654e-07
1.346361.5735612.845908e-07
1.353011.5734612.970776e-07
1.359691.573363.096260e-07
1.36641.5732593.222364e-07
1.373141.5731583.349089e-07
1.379921.5730553.476441e-07
1.386731.5729523.604420e-07
1.393571.5728493.733032e-07
1.41.5727523.853800e-07
1.400451.5727453.850324e-07
1.407361.572643.797064e-07
1.414311.5725353.743541e-07
1.421291.5724293.689754e-07
1.42831.5723223.635702e-07
1.435351.5722153.581383e-07
1.442441.5721073.526795e-07
1.449561.5719983.471939e-07
1.456711.5718883.416811e-07
1.46391.5717783.361412e-07
1.471131.5716673.305739e-07
1.478391.5715563.249791e-07
1.485681.5714433.193568e-07
1.493021.571333.137066e-07
1.500381.5712163.080286e-07
1.507791.5711013.023226e-07
1.515231.5709852.965884e-07
1.522711.5708692.908259e-07
1.530231.5707512.850349e-07
1.537781.5706332.792154e-07
1.545371.5705142.733672e-07
1.552991.5703942.674901e-07
1.560661.5702732.615839e-07
1.568361.5701512.556487e-07
1.57611.5700292.496841e-07
1.583881.5699052.436901e-07
1.59171.569782.376665e-07
1.599551.5696552.316132e-07
1.61.5696482.312700e-07
1.607451.5695282.411111e-07
1.615381.5694012.515921e-07
1.623361.5692722.621249e-07
1.631371.5691422.727097e-07
1.639421.5690122.833467e-07
1.647511.568882.940361e-07
1.655641.5687473.047784e-07
1.663811.5686133.155737e-07
1.672021.5684783.264222e-07
1.680281.5683423.373243e-07
1.688571.5682043.482802e-07
1.69691.5680663.592902e-07
1.705281.5679263.703545e-07
1.71371.5677853.814734e-07
1.722151.5676433.926472e-07
1.730651.56754.038761e-07
1.739191.5673554.151605e-07
1.747781.5672094.265005e-07
1.75641.5670624.378966e-07
1.765071.5669144.493488e-07
1.773791.5667644.608576e-07
1.782541.5666134.724232e-07
1.791341.566464.840459e-07
1.81.566314.954900e-07
1.800181.5663074.963100e-07
1.809061.5661515.371049e-07
1.817991.5659955.781012e-07
1.826961.5658376.192998e-07
1.835981.5656776.607017e-07
1.845041.5655167.023080e-07
1.854151.5653537.441197e-07
1.86331.5651897.861376e-07
1.87251.5650248.283630e-07
1.881741.5648568.707968e-07
1.891031.5646889.134400e-07
1.900361.5645179.562937e-07
1.909741.5643459.993588e-07
1.919161.5641721.042637e-06
1.928641.5639961.086128e-06
1.938151.5638191.129834e-06
1.947721.5636411.173756e-06
1.957331.563461.217894e-06
1.966991.5632781.262250e-06
1.97671.5630941.306826e-06
1.986461.5629081.351621e-06
1.996261.562721.396637e-06
21.5626481.413800e-06
2.006111.5625311.546405e-06
2.016021.5623391.761127e-06
2.025971.5621461.976908e-06
2.035971.561952.193755e-06
2.046011.5617532.411672e-06
2.056111.5615542.630665e-06
2.066261.5613522.850738e-06
2.076461.5611493.071897e-06
2.086711.5609433.294148e-06
2.0971.5607363.517496e-06
2.107351.5605263.741947e-06
2.117761.5603143.967505e-06
2.128211.56014.194176e-06
2.138711.5598844.421966e-06
2.149271.5596654.650880e-06
2.159871.5594444.880924e-06
2.170531.5592215.112104e-06
2.181251.5589955.344424e-06
2.192011.5587685.577891e-06
2.21.5585985.751100e-06
2.202831.5585375.891681e-06
2.21371.5583046.431420e-06
2.224631.5580696.973823e-06
2.235611.5578317.518902e-06
2.246641.5575918.066672e-06
2.257731.5573488.617146e-06
2.268871.5571029.170336e-06
2.280071.5568549.726257e-06
2.291331.5566031.028492e-05
2.302631.5563491.084634e-05
2.3141.5560921.141054e-05
2.325421.5558331.197751e-05

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
—