Optical constants

Refractive index of 5165 (HIKARI)

5165: 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
1.51183
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.28562
Permittivity ε2
1.41456e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
64.957
Chromatic dispersion dn/dλ
-0.0409699 µm⁻¹
Group index ng
1.5359
Group velocity dispersion
67.7778 fs²/mm
Dispersion parameter D
-369.764 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

# 5165 (HIKARI): 5165
hikari_5165 = ls.fetch_refractiveindex("specs", "HIKARI-misc", "5165", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_5165.range_nm)  # (326.11, 2325.42) nm
eps = hikari_5165.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=1.12790724λ2λ2−0.00673602593+0.129745283λ2λ2−0.0228274219+0.994872985λ2λ2−94.2587142

Valid from 0.32611 to 2.32542 µm.

Coefficients as stored
CiValue
C10.0
C21.12790724
C30.00673602593
C40.129745283
C50.0228274219
C60.994872985
C794.2587142

Comments and conditions

Conditions

temperature
295.65 K

Properties

thermal dispersion
type: formula A, coefficients: 3.48e-06 1.89e-08 2.59e-13 3.58e-07 4.09e-10 0.212
nd
1.511829
Vd
64.957110
density
value: 2440
thermal expansion
value: 5.8e-06, temperature range: 243 343
dPgF
-0.0044
resistance
acid: 4.0; alkali: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 295.65 K): dn/dT = 1.90e-06 K⁻¹ at 633 nm, dn/dT = 1.54e-06 K⁻¹ at 1310 nm, dn/dT = 1.50e-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
5165 (HIKARI), 5165: n and k versus wavelength
λ (µm)nk
0.326111.5389163.044165e-07
0.327721.538512.514860e-07
0.3293371.5381091.982942e-07
0.331.5379461.764900e-07
0.3309621.5377121.658300e-07
0.3325961.5373211.477372e-07
0.3342371.5369341.295552e-07
0.3358871.5365511.112834e-07
0.3375451.5361749.292140e-08
0.3392111.53587.446881e-08
0.341.5356266.572700e-08
0.3408851.5354316.213883e-08
0.3425671.5350675.531705e-08
0.3442581.5347064.846160e-08
0.3459571.534354.157232e-08
0.3476651.5339983.464903e-08
0.3493811.533652.769157e-08
0.351.5335262.518000e-08
0.3511051.5333072.398445e-08
0.3528381.5329672.210947e-08
0.3545791.5326312.022525e-08
0.3563291.5322991.833172e-08
0.3580881.5319711.642884e-08
0.3598551.5316461.451658e-08
0.361.531621.436000e-08
0.3616311.5313251.347320e-08
0.3634161.5310081.250296e-08
0.3651.5307311.164200e-08
0.365211.5306951.140081e-08
0.3670121.5303859.328877e-09
0.3688241.5300787.246720e-09
0.371.5298825.894600e-09
0.3706441.5297755.709818e-09
0.3724731.5294765.184970e-09
0.3743121.5291794.657531e-09
0.3761591.5288874.127489e-09
0.3780161.5285973.594831e-09
0.3798811.528313.059544e-09
0.381.5282923.025500e-09
0.3817561.5280273.039480e-09
0.383641.5277473.054478e-09
0.3855341.527473.069550e-09
0.3874371.5271963.084696e-09
0.3893491.5269253.099917e-09
0.391.5268343.105100e-09
0.391271.5266573.115213e-09
0.3932021.5263923.130585e-09
0.3951421.526133.146032e-09
0.3970921.5258713.161556e-09
0.3990521.5256143.177157e-09
0.41.5254923.184700e-09
0.4010221.525363.192834e-09
0.4030011.5251093.208589e-09
0.404991.5248613.224421e-09
0.4069891.5246163.240332e-09
0.4089981.5243733.256321e-09
0.4110161.5241323.272389e-09
0.4130451.5238943.288537e-09
0.4150831.5236593.304764e-09
0.4171321.5234263.321071e-09
0.4191911.5231963.337459e-09
0.421.5231063.343900e-09
0.421261.5229683.353934e-09
0.4233391.5227433.370494e-09
0.4254281.522523.387136e-09
0.4275281.5222993.403860e-09
0.4296381.522083.420667e-09
0.4317581.5218643.437556e-09
0.4338891.521653.454529e-09
0.4360311.5214383.471586e-09
0.4381831.5212293.488727e-09
0.441.5210543.503200e-09
0.4403461.5210223.505951e-09
0.4425191.5208163.523250e-09
0.4447031.5206133.540635e-09
0.4468981.5204123.558106e-09
0.4491031.5202133.575663e-09
0.451321.5200163.593307e-09
0.4535471.5198213.611038e-09
0.4557861.5196283.628856e-09
0.4580351.5194373.646763e-09
0.461.5192733.662400e-09
0.4602961.5192483.664757e-09
0.4625681.5190613.682841e-09
0.4648511.5188763.701013e-09
0.4671451.5186923.719276e-09
0.4694511.5185113.737628e-09
0.4717681.5183313.756071e-09
0.4740961.5181533.774606e-09
0.4764361.5179763.793231e-09
0.4787881.5178023.811949e-09
0.481.5177133.821600e-09
0.4811511.5176293.830764e-09
0.4835251.5174583.849679e-09
0.4859121.5172883.868687e-09
0.488311.5171213.887789e-09
0.490721.5169543.906985e-09
0.4931421.516793.926276e-09
0.4955761.5166273.945662e-09
0.4980221.5164653.965144e-09
0.51.5163363.980900e-09
0.500481.5163053.984720e-09
0.502951.5161474.004387e-09
0.5054321.515994.024151e-09
0.5079271.5158354.044013e-09
0.5104341.5156814.063973e-09
0.5129531.5155294.084031e-09
0.5154851.5153784.104188e-09
0.5180291.5152284.124445e-09
0.5205851.515084.144802e-09
0.5231551.5149334.165259e-09
0.5257371.5147884.185817e-09
0.5283321.5146434.206476e-09
0.5309391.5145014.227238e-09
0.533561.5143594.248102e-09
0.5361931.5142194.269069e-09
0.5388391.514084.290139e-09
0.5414991.5139424.311314e-09
0.5441711.5138064.332593e-09
0.5468571.5136714.353977e-09
0.5495561.5135374.375467e-09
0.551.5135154.379000e-09
0.5522691.5134044.397058e-09
0.5549941.5132724.418754e-09
0.5577331.5131424.440558e-09
0.5604861.5130134.462470e-09
0.5632521.5128854.484489e-09
0.5660321.5127584.506617e-09
0.5688261.5126324.528855e-09
0.5716331.5125074.551202e-09
0.5744551.5123834.573660e-09
0.577291.512264.596228e-09
0.5801391.5121394.618908e-09
0.5830021.5120184.641700e-09
0.585881.5118984.664604e-09
0.5887711.511784.687621e-09
0.5916771.5116624.710752e-09
0.5945981.5115454.733997e-09
0.5975321.511434.757356e-09
0.61.5113344.777000e-09
0.6004811.5113154.780832e-09
0.6034451.5112014.804429e-09
0.6064231.5110884.828142e-09
0.6094161.5109764.851973e-09
0.6124241.5108654.875921e-09
0.6154471.5107554.899987e-09
0.6184841.5106464.924172e-09
0.6215371.5105374.948476e-09
0.6246041.510434.972900e-09
0.6276871.5103234.997445e-09
0.6307851.5102175.022111e-09
0.6338981.5101125.046898e-09
0.6370271.5100085.071808e-09
0.6401711.5099045.096841e-09
0.6433311.5098015.121998e-09
0.6465061.5096995.147278e-09
0.6496971.5095985.172684e-09
0.651.5095885.175100e-09
0.6529031.5094985.198214e-09
0.6561251.5093985.223871e-09
0.6593641.5092995.249655e-09
0.6626181.50925.275565e-09
0.6658881.5091035.301604e-09
0.6691751.5090065.327771e-09
0.6724781.508915.354067e-09
0.6757971.5088145.380493e-09
0.6791321.5087195.407049e-09
0.6824841.5086255.433737e-09
0.6858521.5085315.460556e-09
0.6892371.5084385.487508e-09
0.6926391.5083465.514592e-09
0.6960581.5082545.541811e-09
0.6994931.5081635.569163e-09
0.71.5081495.573200e-09
0.7029451.5080725.596651e-09
0.7064151.5079825.624274e-09
0.7099011.5078935.652034e-09
0.7134051.5078045.679930e-09
0.7169261.5077165.707964e-09
0.7204641.5076285.736137e-09
0.724021.507545.764449e-09
0.7275941.5074545.792900e-09
0.7311851.5073675.821492e-09
0.7347931.5072825.850225e-09
0.738421.5071965.879100e-09
0.7420641.5071125.908117e-09
0.7457271.5070275.937278e-09
0.7494071.5069445.966582e-09
0.7531061.506865.996031e-09
0.7568231.5067776.025626e-09
0.7605581.5066956.055366e-09
0.7643121.5066136.085253e-09
0.7680841.5065316.115288e-09
0.7718751.506456.145471e-09
0.7756851.5063696.175803e-09
0.7795131.5062896.206285e-09
0.7833611.5062096.236917e-09
0.7872271.5061296.267700e-09
0.7911121.506056.298635e-09
0.7950171.5059716.329723e-09
0.7989411.5058926.360965e-09
0.81.5058716.369400e-09
0.8028841.5058146.392360e-09
0.8068461.5057366.423911e-09
0.8108291.5056596.455617e-09
0.814831.5055816.487479e-09
0.8188521.5055046.519499e-09
0.8228931.5054286.551677e-09
0.8269551.5053516.584014e-09
0.8310361.5052756.616511e-09
0.8351381.50526.649167e-09
0.839261.5051246.681985e-09
0.8434021.5050496.714965e-09
0.8475641.5049746.748108e-09
0.8517481.5048996.781414e-09
0.8559511.5048256.814885e-09
0.8601761.5047516.848521e-09
0.8644211.5046776.882323e-09
0.8686881.5046036.916291e-09
0.8729751.5045296.950428e-09
0.8772841.5044566.984733e-09
0.8816131.5043837.019207e-09
0.8859651.504317.053851e-09
0.8903371.5042377.088666e-09
0.8947321.5041647.123653e-09
0.8991481.5040927.158813e-09
0.91.5040787.165600e-09
0.9035851.5040197.194143e-09
0.9080451.5039477.229646e-09
0.9125271.5038757.265325e-09
0.917031.5038037.301179e-09
0.9215561.5037327.337211e-09
0.9261051.503667.373420e-09
0.9306761.5035887.409808e-09
0.9352691.5035177.446376e-09
0.9398851.5034467.483124e-09
0.9445241.5033747.520053e-09
0.9491851.5033037.557165e-09
0.953871.5032327.594460e-09
0.9585781.5031617.631939e-09
0.9633091.503097.669603e-09
0.9680631.5030197.707453e-09
0.9728411.5029487.745490e-09
0.9776431.5028787.783714e-09
0.9824681.5028077.822127e-09
0.9873171.5027367.860730e-09
0.992191.5026657.899523e-09
0.9970871.5025957.938508e-09
11.5025537.961700e-09
1.002011.5025247.977687e-09
1.006951.5024538.017062e-09
1.011921.5023828.056632e-09
1.016921.5023128.096397e-09
1.021941.5022418.136358e-09
1.026981.502178.176517e-09
1.032051.5020998.216873e-09
1.037141.5020288.257429e-09
1.042261.5019578.298185e-09
1.047411.5018868.339142e-09
1.052571.5018158.380302e-09
1.057771.5017448.421664e-09
1.062991.5016738.463231e-09
1.068241.5016018.505002e-09
1.073511.501538.546980e-09
1.078811.5014588.589166e-09
1.084131.5013878.631559e-09
1.089481.5013158.674161e-09
1.094861.5012438.716974e-09
1.100261.5011718.759998e-09
1.105691.5010998.803235e-09
1.111151.5010268.846685e-09
1.116641.5009548.890349e-09
1.122151.5008818.934229e-09
1.127681.5008088.978325e-09
1.133251.5007359.022639e-09
1.138841.5006629.067172e-09
1.144461.5005889.111924e-09
1.150111.5005159.156898e-09
1.155791.5004419.202093e-09
1.161491.5003679.247512e-09
1.167231.5002929.293154e-09
1.172991.5002189.339022e-09
1.178781.5001439.385116e-09
1.184591.5000689.431438e-09
1.190441.4999939.477988e-09
1.196321.4999179.524768e-09
1.21.499879.554100e-09
1.202221.4998411.245277e-08
1.208151.4997652.019861e-08
1.214121.4996882.798269e-08
1.220111.4996123.580518e-08
1.226131.4995354.366628e-08
1.232181.4994575.156618e-08
1.238261.499385.950507e-08
1.244381.4993026.748314e-08
1.250521.4992237.550059e-08
1.256691.4991448.355761e-08
1.262891.4990659.165439e-08
1.269121.4989869.979113e-08
1.275391.4989061.079680e-07
1.281681.4988261.161853e-07
1.288011.4987451.244431e-07
1.294371.4986641.327417e-07
1.300751.4985831.410812e-07
1.307171.4985011.494619e-07
1.313631.4984191.578840e-07
1.320111.4983361.663476e-07
1.326621.4982531.748530e-07
1.333171.4981691.834003e-07
1.339751.4980851.919899e-07
1.346361.4980012.006219e-07
1.353011.4979162.092964e-07
1.359691.497832.180138e-07
1.36641.4977442.267742e-07
1.373141.4976582.355778e-07
1.379921.4975712.444249e-07
1.386731.4974832.533156e-07
1.393571.4973952.622502e-07
1.41.4973122.706400e-07
1.400451.4973072.702023e-07
1.407361.4972172.634972e-07
1.414311.4971282.567590e-07
1.421291.4970372.499875e-07
1.42831.4969462.431826e-07
1.435351.4968552.363442e-07
1.442441.4967632.294719e-07
1.449561.496672.225658e-07
1.456711.4965772.156255e-07
1.46391.4964832.086511e-07
1.471131.4963882.016421e-07
1.478391.4962931.945986e-07
1.485681.4961971.875204e-07
1.493021.49611.804072e-07
1.500381.4960031.732589e-07
1.507791.4959051.660753e-07
1.515231.4958061.588562e-07
1.522711.4957071.516016e-07
1.530231.4956071.443111e-07
1.537781.4955061.369846e-07
1.545371.4954041.296220e-07
1.552991.4953021.222230e-07
1.560661.4951981.147876e-07
1.568361.4950941.073154e-07
1.57611.494999.980635e-08
1.583881.4948849.226024e-08
1.59171.4947788.467688e-08
1.599551.494677.705610e-08
1.61.4946647.662400e-08
1.607451.4945628.075107e-08
1.615381.4944538.514650e-08
1.623361.4943438.956363e-08
1.631371.4942339.400256e-08
1.639421.4941219.846340e-08
1.647511.4940081.029463e-07
1.655641.4938951.074512e-07
1.663811.493781.119784e-07
1.672021.4936651.165280e-07
1.680281.4935491.211000e-07
1.688571.4934311.256946e-07
1.69691.4933131.303118e-07
1.705281.4931941.349519e-07
1.71371.4930741.396148e-07
1.722151.4929521.443008e-07
1.730651.492831.490099e-07
1.739191.4927061.537422e-07
1.747781.4925821.584979e-07
1.75641.4924561.632770e-07
1.765071.4923291.680798e-07
1.773791.4922021.729062e-07
1.782541.4920731.777565e-07
1.791341.4919421.826307e-07
1.81.4918141.874300e-07
1.800181.4918111.877102e-07
1.809061.4916792.016486e-07
1.817991.4915452.156559e-07
1.826961.491412.297322e-07
1.835981.4912742.438781e-07
1.845041.4911372.580937e-07
1.854151.4909982.723796e-07
1.86331.4908582.867359e-07
1.87251.4907173.011631e-07
1.881741.4905743.156615e-07
1.891031.490433.302314e-07
1.900361.4902853.448733e-07
1.909741.4901393.595874e-07
1.919161.4899913.743742e-07
1.928641.4898413.892339e-07
1.938151.4896914.041670e-07
1.947721.4895384.191737e-07
1.957331.4893854.342546e-07
1.966991.489234.494099e-07
1.97671.4890734.646399e-07
1.986461.4889154.799452e-07
1.996261.4887554.953259e-07
21.4886945.011900e-07
2.006111.4885945.665953e-07
2.016021.4884316.725038e-07
2.025971.4882677.789350e-07
2.035971.4881018.858915e-07
2.046011.4879339.933758e-07
2.056111.4877641.101391e-06
2.066261.4875931.209939e-06
2.076461.487421.319022e-06
2.086711.4872451.428644e-06
2.0971.4870691.538808e-06
2.107351.4868911.649514e-06
2.117761.4867121.760768e-06
2.128211.486531.872570e-06
2.138711.4863471.984924e-06
2.149271.4861612.097833e-06
2.159871.4859742.211299e-06
2.170531.4857852.325324e-06
2.181251.4855942.439913e-06
2.192011.4854012.555067e-06
2.21.4852572.640500e-06
2.202831.4852062.677326e-06
2.21371.4850092.818711e-06
2.224631.484812.960795e-06
2.235611.4846093.103580e-06
2.246641.4844063.247070e-06
2.257731.4842013.391268e-06
2.268871.4839933.536177e-06
2.280071.4837843.681802e-06
2.291331.4835723.828146e-06
2.302631.4833583.975212e-06
2.3141.4831414.123003e-06
2.325421.4829234.271524e-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
—