Optical constants

Refractive index of H-K9LA (CDGM)

H-K9LA: 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
1.04495e-08
Permittivity ε1
2.30068
Permittivity ε2
3.16995e-08
Absorption coefficient α
0.00223472 cm⁻¹
Penetration depth δ = λ/(2πk)
8.94966e+09 nm
Abbe number Vd
64.199
Chromatic dispersion dn/dλ
-0.0417699 µm⁻¹
Group index ng
1.54134
Group velocity dispersion
70.3289 fs²/mm
Dispersion parameter D
-383.682 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-K9LA (CDGM): H-K9LA
cdgm_h_k9la = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-K9LA", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_k9la.range_nm)  # (302, 2325) nm
eps = cdgm_h_k9la.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=0.684743072λ2λ2−0.00313539741+0.586772376λ2λ2−0.014810133+1.14804248λ2λ2−116.583792

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.684743072
C30.00313539741
C40.586772376
C50.014810133
C61.14804248
C7116.583792

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 9.03e-07 1.85e-08 -2.98e-11 4.55e-07 1e-10 0.182
nd
1.516800
Vd
64.198695
glass code
517642
glass status
standard
density
value: 2510
thermal expansion
value: 7.2e-06, temperature range: 243 343; value: 8.8e-06, temperature range: 293 573
dPgF
-0.0013
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 9.15e-07 K⁻¹ at 633 nm, dn/dT = 4.92e-07 K⁻¹ at 1310 nm, dn/dT = 4.57e-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-K9LA (CDGM), H-K9LA: n and k versus wavelength
λ (µm)nk
0.3021.5520153.167480e-06
0.3035491.5514842.887207e-06
0.3051061.5509612.605497e-06
0.306671.5504452.322342e-06
0.3082431.5499352.037734e-06
0.3098241.5494321.751667e-06
0.311.5493761.719800e-06
0.3114131.5489351.595509e-06
0.313011.5484451.455008e-06
0.3146151.5479611.313787e-06
0.3162291.5474831.171842e-06
0.317851.5470111.029169e-06
0.3194811.5465458.857641e-07
0.321.5463998.400700e-07
0.3211191.5460867.924410e-07
0.3227661.5456327.223471e-07
0.3244211.5451836.518938e-07
0.3260851.5447415.810792e-07
0.3277571.5443045.099014e-07
0.3294381.5438724.383586e-07
0.331.543734.144500e-07
0.3311281.5434463.921580e-07
0.3328261.5430253.585915e-07
0.3345331.542613.248529e-07
0.3362491.5421992.909412e-07
0.3379731.5417942.568556e-07
0.3397061.5413932.225952e-07
0.341.5413262.167900e-07
0.3414481.5409982.014374e-07
0.34321.5406071.828773e-07
0.344961.5402211.642219e-07
0.3467291.539841.454709e-07
0.3485071.5394641.266237e-07
0.351.5391531.108000e-07
0.3502941.5390921.092420e-07
0.3520911.5387249.973428e-08
0.3538971.5383619.017777e-08
0.3557121.5380038.057226e-08
0.3575361.5376487.091748e-08
0.3593691.5372986.121319e-08
0.361.5371795.787600e-08
0.3612121.5369525.444665e-08
0.3630651.536614.920709e-08
0.3649271.5362734.394065e-08
0.3667981.5359393.864721e-08
0.368681.5356093.332661e-08
0.371.5353812.959200e-08
0.370571.5352832.946349e-08
0.3724711.5349612.903532e-08
0.3743811.5346432.860494e-08
0.3763011.5343282.817236e-08
0.3782311.5340172.773756e-08
0.381.5337372.733900e-08
0.3801711.533712.703144e-08
0.382121.5334062.351916e-08
0.384081.5331061.998886e-08
0.386051.5328091.644045e-08
0.388031.5325161.287385e-08
0.391.5322299.324600e-09
0.390021.5322269.325073e-09
0.392021.531949.372878e-09
0.394031.5316569.420929e-09
0.3960511.5313769.469226e-09
0.3980821.53119.517770e-09
0.41.5308429.563600e-09
0.4001241.5308269.566566e-09
0.4021761.5305559.615651e-09
0.4042391.5302889.664988e-09
0.4063121.5300239.714577e-09
0.4083961.5297629.764421e-09
0.410491.5295039.814521e-09
0.4125951.5292479.864877e-09
0.4147111.5289949.915492e-09
0.4168381.5287449.966366e-09
0.4189761.5284971.001750e-08
0.421.528381.004200e-08
0.4211251.5282531.006888e-08
0.4232841.5280111.012049e-08
0.4254551.5277721.017238e-08
0.4276371.5275351.022453e-08
0.429831.5273021.027694e-08
0.4320351.527071.032963e-08
0.434251.5268411.038258e-08
0.4364771.5266151.043581e-08
0.4387161.5263911.048931e-08
0.441.5262651.052000e-08
0.4409661.526171.054308e-08
0.4432271.5259511.059713e-08
0.44551.5257341.065146e-08
0.4477851.525521.070606e-08
0.4500821.5253081.076095e-08
0.452391.5250981.081612e-08
0.454711.5248911.087157e-08
0.4570421.5246861.092730e-08
0.4593861.5244831.098332e-08
0.461.524431.099800e-08
0.4617421.5242821.103963e-08
0.464111.5240831.109623e-08
0.466491.5238861.115311e-08
0.4688831.5236921.121029e-08
0.4712871.5234991.126776e-08
0.4737041.5233081.132553e-08
0.4761341.523121.138359e-08
0.4785751.5229331.144195e-08
0.481.5228261.147600e-08
0.481031.5227481.150066e-08
0.4834971.5225661.155975e-08
0.4859761.5223851.161913e-08
0.4884691.5222061.167883e-08
0.4909741.5220291.173882e-08
0.4934921.5218531.179913e-08
0.4960231.521681.185974e-08
0.4985671.5215081.192067e-08
0.51.5214121.195500e-08
0.5011231.5213381.198185e-08
0.5036931.5211691.204327e-08
0.5062771.5210031.210501e-08
0.5088731.5208381.216707e-08
0.5114831.5206741.222944e-08
0.5141061.5205131.229213e-08
0.5167431.5203521.235515e-08
0.5193931.5201941.241849e-08
0.5220561.5200371.248215e-08
0.5247341.5198811.254614e-08
0.5274251.5197281.261046e-08
0.530131.5195751.267510e-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
0.5522751.5184081.298664e-08
0.5551071.5182681.278321e-08
0.5579541.518131.257874e-08
0.5608151.5179921.237323e-08
0.5636911.5178561.216666e-08
0.5665821.5177221.195903e-08
0.5694881.5175891.175033e-08
0.5724091.5174561.154057e-08
0.5753441.5173251.132972e-08
0.5782951.5171961.111780e-08
0.5812611.5170671.090479e-08
0.5842421.516941.069069e-08
0.5872381.5168141.047549e-08
0.590251.5166881.025919e-08
0.5932771.5165641.004177e-08
0.5963191.5164419.823247e-09
0.5993781.516329.603599e-09
0.61.5162959.558900e-09
0.6024521.5161999.597934e-09
0.6055411.5160799.647128e-09
0.6086471.515969.696574e-09
0.6117681.5158439.746274e-09
0.6149061.5157269.796228e-09
0.6180591.515619.846439e-09
0.6212291.5154969.896908e-09
0.6244151.5153829.947635e-09
0.6276171.5152699.998622e-09
0.6308361.5151581.004987e-08
0.6340711.5150471.010138e-08
0.6373231.5149371.015316e-08
0.6405921.5148281.020520e-08
0.6438771.5147191.025751e-08
0.6471791.5146121.031008e-08
0.651.5145211.035500e-08
0.6504981.5145051.036294e-08
0.6538341.51441.041612e-08
0.6571871.5142951.046957e-08
0.6605581.5141911.052329e-08
0.6639451.5140881.057729e-08
0.6673511.5139851.063157e-08
0.6707731.5138841.068612e-08
0.6742131.5137831.074096e-08
0.6776711.5136831.079607e-08
0.6811461.5135841.085147e-08
0.684641.5134851.090715e-08
0.6881511.5133871.096312e-08
0.691681.513291.101938e-08
0.6952271.5131941.107592e-08
0.6987931.5130981.113276e-08
0.71.5130661.115200e-08
0.7023761.5130031.118986e-08
0.7059791.5129081.124724e-08
0.7095991.5128141.130492e-08
0.7132381.5127211.136289e-08
0.7168961.5126291.142116e-08
0.7205731.5125371.147973e-08
0.7242681.5124461.153860e-08
0.7279831.5123551.159777e-08
0.7317161.5122651.165724e-08
0.7354691.5121751.171702e-08
0.7392411.5120861.177711e-08
0.7430321.5119981.183750e-08
0.7468431.511911.189820e-08
0.7506731.5118231.195922e-08
0.7545231.5117361.202055e-08
0.7583921.511651.208219e-08
0.7622821.5115641.214415e-08
0.7661911.5114791.220642e-08
0.770121.5113941.226902e-08
0.774071.511311.233194e-08
0.778041.5112261.239517e-08
0.782031.5111431.245874e-08
0.7860411.511061.252263e-08
0.7900721.5109771.258685e-08
0.7941241.5108951.265139e-08
0.7981961.5108141.271627e-08
0.81.5107781.274500e-08
0.802291.5107321.278150e-08
0.8064051.5106521.284709e-08
0.810541.5105711.291301e-08
0.8146971.5104911.297927e-08
0.8188751.5104121.304587e-08
0.8230751.5103321.311281e-08
0.8272961.5102531.318010e-08
0.8315391.5101751.324773e-08
0.8358031.5100971.331571e-08
0.840091.5100191.338403e-08
0.8443981.5099411.345271e-08
0.8487291.5098641.352174e-08
0.851.5098411.354200e-08
0.8530821.5097871.359106e-08
0.8574571.509711.366071e-08
0.8618541.5096341.373072e-08
0.8662741.5095581.380108e-08
0.8707171.5094821.387181e-08
0.8751821.5094061.394290e-08
0.8796711.5093311.401436e-08
0.8841821.5092561.408618e-08
0.8887171.5091811.415837e-08
0.8932741.5091061.423093e-08
0.8978561.5090321.430386e-08
0.91.5089971.433800e-08
0.902461.5089581.475013e-08
0.9070881.5088841.552546e-08
0.9117411.508811.630477e-08
0.9164161.5087361.708807e-08
0.9211161.5086631.787539e-08
0.925841.5085891.866675e-08
0.9305881.5085161.946217e-08
0.9353611.5084432.026166e-08
0.9401581.5083712.106526e-08
0.944981.5082982.187297e-08
0.9498261.5082252.268483e-08
0.951.5082232.271400e-08
0.9546971.5081532.207679e-08
0.9595931.5080812.141258e-08
0.9645151.5080082.074496e-08
0.9694611.5079362.007391e-08
0.9744331.5078641.939942e-08
0.979431.5077921.872148e-08
0.9844531.507721.804005e-08
0.9895021.5076481.735513e-08
0.9945771.5075771.666670e-08
0.9996781.5075051.597474e-08
11.50751.593100e-08
1.00481.5074331.600755e-08
1.009961.5073621.608966e-08
1.015141.507291.617219e-08
1.020341.5072181.625514e-08
1.025581.5071471.633851e-08
1.030841.5070751.642232e-08
1.036121.5070031.650655e-08
1.041441.5069321.659122e-08
1.046781.506861.667632e-08
1.052151.5067881.676185e-08
1.057541.5067171.684783e-08
1.061.5066841.688700e-08
1.062971.5066451.693425e-08
1.068421.5065731.702113e-08
1.07391.5065011.710844e-08
1.07941.5064291.719621e-08
1.084941.5063571.728443e-08
1.09051.5062851.737309e-08
1.09611.5062131.746222e-08
1.101721.506141.755180e-08
1.107371.5060681.764184e-08
1.113051.5059951.773234e-08
1.118761.5059231.782330e-08
1.124491.505851.791474e-08
1.130261.5057771.800664e-08
1.136061.5057031.809901e-08
1.141881.505631.819185e-08
1.147741.5055571.828518e-08
1.153621.5054831.837898e-08
1.159541.5054091.847326e-08
1.165491.5053351.856802e-08
1.171471.5052611.866328e-08
1.177471.5051861.875902e-08
1.183511.5051121.885525e-08
1.189581.5050371.895197e-08
1.195681.5049621.904919e-08
1.21.5049091.911800e-08
1.201811.5048862.067732e-08
1.207981.5048112.597493e-08
1.214171.5047353.129970e-08
1.22041.5046583.665179e-08
1.226661.5045824.203133e-08
1.232951.5045054.743845e-08
1.239271.5044285.287330e-08
1.245631.5043515.833603e-08
1.252021.5042736.382677e-08
1.258441.5041956.934567e-08
1.264891.5041177.489288e-08
1.271381.5040388.046853e-08
1.27791.5039598.607278e-08
1.284451.503889.170577e-08
1.291041.50389.736765e-08
1.297661.503721.030586e-07
1.304321.503641.087787e-07
1.311011.5035591.145281e-07
1.317731.5034771.203070e-07
1.324491.5033961.261156e-07
1.331281.5033141.319539e-07
1.338111.5032311.378222e-07
1.344971.5031481.437206e-07
1.351871.5030651.496493e-07
1.35881.5029811.556083e-07
1.365771.5028961.615979e-07
1.372771.5028111.676182e-07
1.379811.5027261.736694e-07
1.386891.502641.797517e-07
1.3941.5025541.858651e-07
1.41.5024811.910200e-07
1.401151.5024671.904351e-07
1.408341.502381.867854e-07
1.415561.5022921.831170e-07
1.422821.5022031.794298e-07
1.430121.5021141.757236e-07
1.437451.5020251.719985e-07
1.444821.5019341.682543e-07
1.452231.5018441.644908e-07
1.459681.5017521.607081e-07
1.467171.501661.569060e-07
1.474691.5015681.530843e-07
1.482251.5014741.492431e-07
1.489861.501381.453822e-07
1.49751.5012861.415014e-07
1.505181.5011911.376008e-07
1.51291.5010951.336801e-07
1.520651.5009981.297394e-07
1.528451.5009011.257784e-07
1.536291.5008031.217972e-07
1.544171.5007041.177955e-07
1.552091.5006051.137733e-07
1.560051.5005051.097304e-07
1.568051.5004041.056668e-07
1.576091.5003021.015824e-07
1.584181.50029.747705e-08
1.59231.5000969.335064e-08
1.61.4999988.944000e-08
1.600471.4999928.987230e-08
1.608671.4998879.747826e-08
1.616921.4997811.051232e-07
1.625221.4996751.128074e-07
1.633551.4995671.205310e-07
1.641931.4994591.282942e-07
1.650351.499351.360972e-07
1.658811.499241.439402e-07
1.667321.4991291.518235e-07
1.675871.4990171.597471e-07
1.684471.4989041.677114e-07
1.693111.498791.757166e-07
1.701791.4986761.837628e-07
1.710521.498561.918503e-07
1.719291.4984431.999792e-07
1.728111.4983252.081499e-07
1.736971.4982072.163624e-07
1.745881.4980872.246171e-07
1.754831.4979662.329141e-07
1.763831.4978442.412537e-07
1.772881.4977212.496360e-07
1.781971.4975972.580613e-07
1.791111.4974722.665298e-07
1.81.497352.747700e-07
1.800291.4973462.753441e-07
1.809531.4972182.934183e-07
1.818811.4970893.115852e-07
1.828131.496963.298452e-07
1.837511.4968293.481989e-07
1.846931.4966973.666468e-07
1.856411.4965633.851892e-07
1.865931.4964294.038267e-07
1.87551.4962934.225598e-07
1.885111.4961564.413890e-07
1.894781.4960174.603148e-07
1.90451.4958774.793376e-07
1.914271.4957364.984580e-07
1.924081.4955945.176764e-07
1.933951.495455.369934e-07
1.943871.4953055.564095e-07
1.953841.4951585.759251e-07
1.963861.4950115.955408e-07
1.973931.4948616.152572e-07
1.984051.494716.350746e-07
1.994231.4945586.549937e-07
21.4944716.662900e-07
2.004461.4944046.995457e-07
2.014741.4942497.762496e-07
2.025071.4940928.533468e-07
2.035461.4939349.308395e-07
2.045891.4937741.008730e-06
2.056391.4936121.087019e-06
2.066931.4934491.165710e-06
2.077531.4932841.244805e-06
2.088191.4931171.324305e-06
2.09891.4929491.404213e-06
2.109661.4927791.484531e-06
2.120481.4926081.565261e-06
2.131361.4924341.646404e-06
2.142291.4922591.727964e-06
2.153271.4920821.809942e-06
2.164321.4919041.892341e-06
2.175421.4917231.975162e-06
2.186571.4915412.058408e-06
2.197791.4913562.142081e-06
2.21.491322.158600e-06
2.209061.491172.212678e-06
2.220391.4909822.280319e-06
2.231771.4907922.348306e-06
2.243221.49062.416643e-06
2.254721.4904052.485330e-06
2.266291.4902092.554369e-06
2.277911.4900112.623762e-06
2.289591.489812.693511e-06
2.301331.4896082.763618e-06
2.313141.4894032.834085e-06
2.3251.4891962.904912e-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
—