Optical constants

Refractive index of H-K9L (CDGM)

H-K9L: n,k 0.302–2.325 µm

Data
formula 2 + tabulated k
Range
0.302–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.302–2.325 µm
Refractive index n
1.5168
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.30068
Permittivity ε2
4.26179e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
64.199
Chromatic dispersion dn/dλ
-0.0417504 µm⁻¹
Group index ng
1.54133
Group velocity dispersion
70.603 fs²/mm
Dispersion parameter D
-385.177 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

# H-K9L (CDGM): H-K9L
cdgm_h_k9l = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-K9L", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_k9l.range_nm)  # (302, 2325) nm
eps = cdgm_h_k9l.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=0.614555251λ2λ2−0.0145987884+0.656775017λ2λ2−0.00287769588+1.02699346λ2λ2−107.653051

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.614555251
C30.0145987884
C40.656775017
C50.00287769588
C61.02699346
C7107.653051

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.04e-06 1.48e-08 -5.17e-11 3.85e-07 4.55e-10 0.211
nd
1.516800
Vd
64.198732
glass code
517642
glass status
standard
density
value: 2520
thermal expansion
value: 7.6e-06, temperature range: 243 343; value: 9.5e-06, temperature range: 293 573
dPgF
-0.0005
resistance
climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.75e-08 K⁻¹ at 633 nm, dn/dT = -3.40e-07 K⁻¹ at 1310 nm, dn/dT = -3.66e-07 K⁻¹ at 1550 nm

References

Cite

CDGM Zemax catalog 2022-06 (obtained from http://www.cdgmgd.com); See also CDGM optical 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 431 wavelengths, the same grid as the API and the library
H-K9L (CDGM), H-K9L: n and k versus wavelength
λ (µm)nk
0.3021.5520871.242722e-06
0.3035491.5515551.123248e-06
0.3051061.5510311.003162e-06
0.306671.5505138.824593e-07
0.3082431.5500017.611380e-07
0.3098241.5494976.391944e-07
0.311.5494416.256100e-07
0.3114131.5489995.775341e-07
0.313011.5485075.231885e-07
0.3146151.5480224.685641e-07
0.3162291.5475434.136596e-07
0.317851.547073.584736e-07
0.3194811.5466033.030045e-07
0.321.5464562.853300e-07
0.3211191.5461422.681649e-07
0.3227661.5456872.429036e-07
0.3244211.5452372.175128e-07
0.3260851.5447941.919918e-07
0.3277571.5443551.663399e-07
0.3294381.5439231.405565e-07
0.331.543781.319400e-07
0.3311281.5434951.250985e-07
0.3328261.5430731.147967e-07
0.3345331.5426571.044421e-07
0.3362491.5422459.403443e-08
0.3379731.5418398.357337e-08
0.3397061.5414377.305865e-08
0.341.541377.127700e-08
0.3414481.5410416.828050e-08
0.34321.5406496.465795e-08
0.344961.5402626.101683e-08
0.3467291.539885.735702e-08
0.3485071.5395035.367845e-08
0.351.5391915.059000e-08
0.3502941.539134.977810e-08
0.3520911.5387614.482338e-08
0.3538971.5383973.984325e-08
0.3557121.5380383.483758e-08
0.3575361.5376832.980624e-08
0.3593691.5373322.474909e-08
0.361.5372122.301000e-08
0.3612121.5369852.200959e-08
0.3630651.5366422.048111e-08
0.3649271.5363031.894478e-08
0.3667981.5359691.740058e-08
0.368681.5356381.584846e-08
0.371.535411.475900e-08
0.370571.5353121.478176e-08
0.3724711.5349891.485759e-08
0.3743811.534671.493381e-08
0.3763011.5343541.501041e-08
0.3782311.5340431.508742e-08
0.381.5337621.515800e-08
0.3801711.5337351.511158e-08
0.382121.533431.458145e-08
0.384081.5331291.404861e-08
0.386051.5328321.351303e-08
0.388031.5325381.297470e-08
0.391.532251.243900e-08
0.390021.5322481.243331e-08
0.392021.531961.185817e-08
0.394031.5316761.128007e-08
0.3960511.5313961.069901e-08
0.3980821.5311181.011498e-08
0.41.5308619.563600e-09
0.4001241.5308449.566566e-09
0.4021761.5305739.615651e-09
0.4042391.5303059.664988e-09
0.4063121.530049.714577e-09
0.4083961.5297789.764421e-09
0.410491.5295189.814521e-09
0.4125951.5292629.864877e-09
0.4147111.5290099.915492e-09
0.4168381.5287589.966366e-09
0.4189761.5285111.001750e-08
0.421.5283931.004200e-08
0.4211251.5282661.006888e-08
0.4232841.5280231.012049e-08
0.4254551.5277841.017238e-08
0.4276371.5275471.022453e-08
0.429831.5273121.027694e-08
0.4320351.5270811.032963e-08
0.434251.5268511.038258e-08
0.4364771.5266251.043581e-08
0.4387161.5264011.048931e-08
0.441.5262741.052000e-08
0.4409661.5261791.054308e-08
0.4432271.5259591.059713e-08
0.44551.5257421.065146e-08
0.4477851.5255281.070606e-08
0.4500821.5253151.076095e-08
0.452391.5251051.081612e-08
0.454711.5248981.087157e-08
0.4570421.5246921.092730e-08
0.4593861.5244891.098332e-08
0.461.5244361.099800e-08
0.4617421.5242871.103963e-08
0.464111.5240881.109623e-08
0.466491.5238911.115311e-08
0.4688831.5236961.121029e-08
0.4712871.5235031.126776e-08
0.4737041.5233131.132553e-08
0.4761341.5231241.138359e-08
0.4785751.5229371.144195e-08
0.481.5228291.147600e-08
0.481031.5227521.150066e-08
0.4834971.5225691.155975e-08
0.4859761.5223881.161913e-08
0.4884691.5222091.167883e-08
0.4909741.5220311.173882e-08
0.4934921.5218561.179913e-08
0.4960231.5216821.185974e-08
0.4985671.521511.192067e-08
0.51.5214141.195500e-08
0.5011231.5213391.198185e-08
0.5036931.5211711.204327e-08
0.5062771.5210041.210501e-08
0.5088731.5208391.216707e-08
0.5114831.5206751.222944e-08
0.5141061.5205141.229213e-08
0.5167431.5203531.235515e-08
0.5193931.5201951.241849e-08
0.5220561.5200381.248215e-08
0.5247341.5198821.254614e-08
0.5274251.5197281.261046e-08
0.530131.5195761.267510e-08
0.5328491.5194241.274008e-08
0.5355811.5192751.280540e-08
0.5383281.5191271.287104e-08
0.5410891.518981.293703e-08
0.5438641.5188351.300335e-08
0.5466531.5186911.307001e-08
0.5494571.5185491.313701e-08
0.551.5185211.315000e-08
0.5522751.5184081.320436e-08
0.5551071.5182681.327206e-08
0.5579541.5181291.334010e-08
0.5608151.5179921.340848e-08
0.5636911.5178561.347722e-08
0.5665821.5177221.354632e-08
0.5694881.5175881.361576e-08
0.5724091.5174561.368557e-08
0.5753441.5173251.375573e-08
0.5782951.5171961.382625e-08
0.5812611.5170671.389713e-08
0.5842421.516941.396838e-08
0.5872381.5168141.403999e-08
0.590251.5166881.411197e-08
0.5932771.5165651.418432e-08
0.5963191.5164421.425703e-08
0.5993781.516321.433013e-08
0.61.5162951.434500e-08
0.6024521.5161991.440364e-08
0.6055411.516081.447755e-08
0.6086471.5159611.455183e-08
0.6117681.5158441.462650e-08
0.6149061.5157271.470154e-08
0.6180591.5156111.477698e-08
0.6212291.5154971.485280e-08
0.6244151.5153831.492901e-08
0.6276171.5152711.500561e-08
0.6308361.5151591.508260e-08
0.6340711.5150481.515998e-08
0.6373231.5149381.523777e-08
0.6405921.514831.531595e-08
0.6438771.5147221.539454e-08
0.6471791.5146141.547352e-08
0.651.5145241.554100e-08
0.6504981.5145081.555291e-08
0.6538341.5144031.563264e-08
0.6571871.5142981.571278e-08
0.6605581.5141941.579333e-08
0.6639451.5140911.587430e-08
0.6673511.5139891.595568e-08
0.6707731.5138881.603748e-08
0.6742131.5137871.611969e-08
0.6776711.5136871.620233e-08
0.6811461.5135881.628540e-08
0.684641.513491.636889e-08
0.6881511.5133921.645280e-08
0.691681.5132961.653715e-08
0.6952271.5131991.662193e-08
0.6987931.5131041.670715e-08
0.71.5130721.673600e-08
0.7023761.5130091.664115e-08
0.7059791.5129151.649739e-08
0.7095991.5128211.635289e-08
0.7132381.5127291.620765e-08
0.7168961.5126371.606167e-08
0.7205731.5125451.591494e-08
0.7242681.5124541.576745e-08
0.7279831.5123641.561921e-08
0.7317161.5122741.547020e-08
0.7354691.5121851.532044e-08
0.7392411.5120961.516990e-08
0.7430321.5120081.501859e-08
0.7468431.5119211.486651e-08
0.7506731.5118341.471365e-08
0.7545231.5117481.456000e-08
0.7583921.5116621.440557e-08
0.7622821.5115761.425034e-08
0.7661911.5114921.409432e-08
0.770121.5114071.393749e-08
0.774071.5113241.377987e-08
0.778041.511241.362143e-08
0.782031.5111571.346218e-08
0.7860411.5110751.330212e-08
0.7900721.5109931.314123e-08
0.7941241.5109111.297952e-08
0.7981961.510831.281698e-08
0.81.5107951.274500e-08
0.802291.510751.278150e-08
0.8064051.5106691.284709e-08
0.810541.5105891.291301e-08
0.8146971.510511.297927e-08
0.8188751.5104311.304587e-08
0.8230751.5103521.311281e-08
0.8272961.5102741.318010e-08
0.8315391.5101961.324773e-08
0.8358031.5101181.331571e-08
0.840091.5100411.338403e-08
0.8443981.5099641.345271e-08
0.8487291.5098871.352174e-08
0.851.5098651.354200e-08
0.8530821.5098111.359106e-08
0.8574571.5097351.366071e-08
0.8618541.5096591.373072e-08
0.8662741.5095831.380108e-08
0.8707171.5095081.387181e-08
0.8751821.5094331.394290e-08
0.8796711.5093591.401436e-08
0.8841821.5092841.408618e-08
0.8887171.509211.415837e-08
0.8932741.5091361.423093e-08
0.8978561.5090621.430386e-08
0.91.5090281.433800e-08
0.902461.5089891.437722e-08
0.9070881.5089161.445099e-08
0.9117411.5088421.452514e-08
0.9164161.508771.459968e-08
0.9211161.5086971.467459e-08
0.925841.5086241.474989e-08
0.9305881.5085521.482558e-08
0.9353611.508481.490165e-08
0.9401581.5084081.497812e-08
0.944981.5083361.505497e-08
0.9498261.5082641.513222e-08
0.951.5082621.513500e-08
0.9546971.5081931.520978e-08
0.9595931.5081211.528772e-08
0.9645151.508051.536607e-08
0.9694611.5079781.544482e-08
0.9744331.5079071.552397e-08
0.979431.5078361.560353e-08
0.9844531.5077651.568350e-08
0.9895021.5076941.576387e-08
0.9945771.5076231.584466e-08
0.9996781.5075531.592587e-08
11.5075481.593100e-08
1.00481.5074821.600755e-08
1.009961.5074111.608966e-08
1.015141.507341.617219e-08
1.020341.507271.625514e-08
1.025581.5071991.633851e-08
1.030841.5071281.642232e-08
1.036121.5070581.650655e-08
1.041441.5069871.659122e-08
1.046781.5069171.667632e-08
1.052151.5068461.676185e-08
1.057541.5067751.684783e-08
1.061.5067431.688700e-08
1.062971.5067041.693425e-08
1.068421.5066341.702113e-08
1.07391.5065631.710844e-08
1.07941.5064921.719621e-08
1.084941.5064211.728443e-08
1.09051.506351.737309e-08
1.09611.5062791.746222e-08
1.101721.5062081.755180e-08
1.107371.5061361.764184e-08
1.113051.5060651.773234e-08
1.118761.5059931.782330e-08
1.124491.5059221.791474e-08
1.130261.505851.800664e-08
1.136061.5057781.809901e-08
1.141881.5057061.819185e-08
1.147741.5056341.828518e-08
1.153621.5055611.837898e-08
1.159541.5054891.847326e-08
1.165491.5054161.856802e-08
1.171471.5053431.866328e-08
1.177471.505271.875902e-08
1.183511.5051961.885525e-08
1.189581.5051231.895197e-08
1.195681.5050491.904919e-08
1.21.5049971.911800e-08
1.201811.5049752.150314e-08
1.207981.5049012.960638e-08
1.214171.5048263.775118e-08
1.22041.5047524.593776e-08
1.226661.5046775.416632e-08
1.232951.5046016.243707e-08
1.239271.5045267.075025e-08
1.245631.504457.910606e-08
1.252021.5043748.750472e-08
1.258441.5042979.594645e-08
1.264891.504221.044315e-07
1.271381.5041431.129600e-07
1.27791.5040661.215323e-07
1.284451.5039881.301486e-07
1.291041.503911.388090e-07
1.297661.5038321.475138e-07
1.304321.5037531.562633e-07
1.311011.5036731.650577e-07
1.317731.5035941.738972e-07
1.324491.5035141.827820e-07
1.331281.5034331.917123e-07
1.338111.5033532.006885e-07
1.344971.5032712.097107e-07
1.351871.503192.187792e-07
1.35881.5031082.278941e-07
1.365771.5030252.370559e-07
1.372771.5029422.462646e-07
1.379811.5028582.555205e-07
1.386891.5027742.648239e-07
1.3941.502692.741750e-07
1.41.5026192.820600e-07
1.401151.5026052.813952e-07
1.408341.502522.772472e-07
1.415561.5024342.730779e-07
1.422821.5023472.688872e-07
1.430121.502262.646750e-07
1.437451.5021722.604413e-07
1.444821.5020842.561858e-07
1.452231.5019952.519085e-07
1.459681.5019062.476092e-07
1.467171.5018162.432880e-07
1.474691.5017262.389445e-07
1.482251.5016342.345788e-07
1.489861.5015432.301907e-07
1.49751.501452.257800e-07
1.505181.5013572.213468e-07
1.51291.5012642.168908e-07
1.520651.5011692.124120e-07
1.528451.5010742.079102e-07
1.536291.5009782.033853e-07
1.544171.5008821.988372e-07
1.552091.5007851.942658e-07
1.560051.5006871.896709e-07
1.568051.5005881.850525e-07
1.576091.5004891.804104e-07
1.584181.5003891.757445e-07
1.59231.5002881.710546e-07
1.61.5001921.666100e-07
1.600471.5001871.676899e-07
1.608671.5000841.866894e-07
1.616921.4999812.057863e-07
1.625221.4998772.249812e-07
1.633551.4997722.442745e-07
1.641931.4996662.636668e-07
1.650351.499562.831585e-07
1.658811.4994523.027502e-07
1.667321.4993443.224424e-07
1.675871.4992353.422356e-07
1.684471.4991243.621302e-07
1.693111.4990133.821269e-07
1.701791.4989014.022262e-07
1.710521.4987884.224285e-07
1.719291.4986744.427344e-07
1.728111.4985594.631445e-07
1.736971.4984444.836593e-07
1.745881.4983275.042792e-07
1.754831.4982095.250049e-07
1.763831.498095.458370e-07
1.772881.497975.667758e-07
1.781971.4978495.878220e-07
1.791111.4977276.089762e-07
1.81.4976076.295600e-07
1.800291.4976036.309922e-07
1.809531.4974796.760826e-07
1.818811.4973537.214042e-07
1.828131.4972277.669583e-07
1.837511.4970998.127460e-07
1.846931.496978.587685e-07
1.856411.496849.050270e-07
1.865931.4967099.515228e-07
1.87551.4965769.982570e-07
1.885111.4964421.045231e-06
1.894781.4963071.092446e-06
1.90451.4961711.139903e-06
1.914271.4960331.187603e-06
1.924081.4958941.235548e-06
1.933951.4957541.283739e-06
1.943871.4956121.332177e-06
1.953841.4954691.380863e-06
1.963861.4953251.429799e-06
1.973931.4951791.478986e-06
1.984051.4950321.528426e-06
1.994231.4948831.578119e-06
21.4947981.606300e-06
2.004461.4947331.668441e-06
2.014741.4945811.811768e-06
2.025071.4944281.955831e-06
2.035461.4942742.100632e-06
2.045891.4941172.246176e-06
2.056391.493962.392466e-06
2.066931.49382.539506e-06
2.077531.493642.687301e-06
2.088191.4934772.835854e-06
2.09891.4933132.985168e-06
2.109661.4931473.135248e-06
2.120481.4929793.286098e-06
2.131361.492813.437722e-06
2.142291.4926393.590123e-06
2.153271.4924663.743305e-06
2.164321.4922923.897274e-06
2.175421.4921164.052032e-06
2.186571.4919374.207583e-06
2.197791.4917574.363933e-06
2.21.4917224.394800e-06
2.209061.4915764.493219e-06
2.220391.4913924.616322e-06
2.231771.4912064.740056e-06
2.243221.4910184.864425e-06
2.254721.4908294.989431e-06
2.266291.4906375.115079e-06
2.277911.4904435.241371e-06
2.289591.4902475.368311e-06
2.301331.4900495.495902e-06
2.313141.4898495.624147e-06
2.3251.4896475.753050e-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
—