Optical constants

Refractive index of H-K11 (CDGM)

H-K11: 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
1.52638
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.32983
Permittivity ε2
2.85779e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
60.157
Chromatic dispersion dn/dλ
-0.0451911 µm⁻¹
Group index ng
1.55293
Group velocity dispersion
79.1102 fs²/mm
Dispersion parameter D
-431.588 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-K11 (CDGM): H-K11
cdgm_h_k11 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-K11", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_k11.range_nm)  # (302, 2325) nm
eps = cdgm_h_k11.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=0.795536936λ2λ2−0.00400873219+0.500949252λ2λ2−0.0175436655+0.905052235λ2λ2−111.287063

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.795536936
C30.00400873219
C40.500949252
C50.0175436655
C60.905052235
C7111.287063

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -5.26e-06 1.82e-08 -8.49e-11 5.16e-07 1.16e-09 0.136
nd
1.526380
Vd
60.157370
glass code
526602
density
value: 2690
thermal expansion
value: 9.4e-06, temperature range: 243 343; value: 1.1e-05, temperature range: 293 573
dPgF
0.0005
resistance
climatic: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.70e-06 K⁻¹ at 633 nm, dn/dT = -2.11e-06 K⁻¹ at 1310 nm, dn/dT = -2.14e-06 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-K11 (CDGM), H-K11: n and k versus wavelength
λ (µm)nk
0.3021.5657681.840488e-06
0.3035491.5651621.653150e-06
0.3051061.5645641.464851e-06
0.306671.5639751.275587e-06
0.3082431.5633941.085351e-06
0.3098241.562828.941406e-07
0.311.5627578.728400e-07
0.3114131.5622548.000395e-07
0.313011.5616967.177449e-07
0.3146151.5611456.350282e-07
0.3162291.5606025.518873e-07
0.317851.5600654.683200e-07
0.3194811.5595363.843242e-07
0.321.559373.575600e-07
0.3211191.5590143.351062e-07
0.3227661.5584993.020619e-07
0.3244211.557992.688481e-07
0.3260851.5574892.354640e-07
0.3277571.5569932.019087e-07
0.3294381.5565041.681812e-07
0.331.5563431.569100e-07
0.3311281.5560221.481937e-07
0.3328261.5555461.350691e-07
0.3345331.5550751.218771e-07
0.3362491.5546111.086175e-07
0.3379731.5541539.528984e-08
0.3397061.5537018.189386e-08
0.341.5536257.962400e-08
0.3414481.5532547.377846e-08
0.34321.5528136.671163e-08
0.344961.5523785.960855e-08
0.3467291.5519485.246905e-08
0.3485071.5515244.529292e-08
0.351.5511733.926800e-08
0.3502941.5511043.887447e-08
0.3520911.5506913.647293e-08
0.3538971.5502823.405906e-08
0.3557121.5498783.163282e-08
0.3575361.549482.919413e-08
0.3593691.5490862.674294e-08
0.361.5489522.590000e-08
0.3612121.5486972.526745e-08
0.3630651.5483132.430101e-08
0.3649271.5479342.332962e-08
0.3667981.5475592.235324e-08
0.368681.5471892.137185e-08
0.371.5469332.068300e-08
0.370571.5468232.071488e-08
0.3724711.5464622.082112e-08
0.3743811.5461052.092790e-08
0.3763011.5457532.103523e-08
0.3782311.5454052.114311e-08
0.381.5450912.124200e-08
0.3801711.5450612.114494e-08
0.382121.5447212.003653e-08
0.384081.5443851.892244e-08
0.386051.5440531.780263e-08
0.388031.5437251.667707e-08
0.391.5434041.555700e-08
0.390021.5434011.554514e-08
0.392021.5430811.434633e-08
0.394031.5427651.314136e-08
0.3960511.5424521.193022e-08
0.3980821.5421431.071287e-08
0.41.5418569.563600e-09
0.4001241.5418389.587363e-09
0.4021761.5415369.980575e-09
0.4042391.5412371.037580e-08
0.4063121.5409431.077306e-08
0.4083961.5406511.117235e-08
0.410491.5403631.157369e-08
0.4125951.5400791.197709e-08
0.4147111.5397971.238256e-08
0.4168381.5395191.279011e-08
0.4189761.5392441.319975e-08
0.421.5391141.339600e-08
0.4211251.5389721.343187e-08
0.4232841.5387041.350077e-08
0.4254551.5384381.357002e-08
0.4276371.5381751.363962e-08
0.429831.5379161.370958e-08
0.4320351.5376591.377990e-08
0.434251.5374051.385058e-08
0.4364771.5371541.392163e-08
0.4387161.5369061.399304e-08
0.441.5367661.403400e-08
0.4409661.5366611.388739e-08
0.4432271.5364181.354410e-08
0.44551.5361781.319904e-08
0.4477851.5359411.285221e-08
0.4500821.5357061.250361e-08
0.452391.5354741.215322e-08
0.454711.5352451.180103e-08
0.4570421.5350181.144703e-08
0.4593861.5347941.109122e-08
0.461.5347351.099800e-08
0.4617421.5345721.137354e-08
0.464111.5343521.188410e-08
0.466491.5341351.239727e-08
0.4688831.533921.291307e-08
0.4712871.5337081.343152e-08
0.4737041.5334981.395262e-08
0.4761341.533291.447640e-08
0.4785751.5330841.500286e-08
0.481.5329661.531000e-08
0.481031.5328811.534280e-08
0.4834971.5326791.542137e-08
0.4859761.532481.550035e-08
0.4884691.5322831.557973e-08
0.4909741.5320881.565952e-08
0.4934921.5318961.573971e-08
0.4960231.5317051.582032e-08
0.4985671.5315161.590135e-08
0.51.5314111.594700e-08
0.5011231.5313291.578556e-08
0.5036931.5311451.541627e-08
0.5062771.5309621.504508e-08
0.5088731.5307811.467198e-08
0.5114831.5306021.429697e-08
0.5141061.5304241.392004e-08
0.5167431.5302491.354118e-08
0.5193931.5300751.316037e-08
0.5220561.5299041.277761e-08
0.5247341.5297341.239289e-08
0.5274251.5295651.200620e-08
0.530131.5293991.161752e-08
0.5328491.5292341.122684e-08
0.5355811.5290711.083417e-08
0.5383281.5289091.043948e-08
0.5410891.5287491.004277e-08
0.5438641.5285919.644017e-09
0.5466531.5284349.243223e-09
0.5494571.5282798.840374e-09
0.551.5282498.762300e-09
0.5522751.5281258.798538e-09
0.5551071.5279738.843663e-09
0.5579541.5278228.889020e-09
0.5608151.5276738.934609e-09
0.5636911.5275268.980431e-09
0.5665821.5273799.026489e-09
0.5694881.5272359.072783e-09
0.5724091.5270919.119315e-09
0.5753441.5269499.166085e-09
0.5782951.5268099.213095e-09
0.5812611.5266699.260346e-09
0.5842421.5265319.307839e-09
0.5872381.5263959.355576e-09
0.590251.5262599.403558e-09
0.5932771.5261259.451786e-09
0.5963191.5259929.500261e-09
0.5993781.5258619.548985e-09
0.61.5258349.558900e-09
0.6024521.5257319.597934e-09
0.6055411.5256019.647128e-09
0.6086471.5254739.696574e-09
0.6117681.5253479.746274e-09
0.6149061.5252219.796228e-09
0.6180591.5250979.846439e-09
0.6212291.5249739.896908e-09
0.6244151.5248519.947635e-09
0.6276171.524739.998622e-09
0.6308361.524611.004987e-08
0.6340711.5244911.010138e-08
0.6373231.5243731.015316e-08
0.6405921.5242571.020520e-08
0.6438771.5241411.025751e-08
0.6471791.5240261.031008e-08
0.651.5239291.035500e-08
0.6504981.5239121.036294e-08
0.6538341.5237991.041612e-08
0.6571871.5236871.046957e-08
0.6605581.5235771.052329e-08
0.6639451.5234671.057729e-08
0.6673511.5233581.063157e-08
0.6707731.5232491.068612e-08
0.6742131.5231421.074096e-08
0.6776711.5230361.079607e-08
0.6811461.5229311.085147e-08
0.684641.5228261.090715e-08
0.6881511.5227221.096312e-08
0.691681.5226191.101938e-08
0.6952271.5225171.107592e-08
0.6987931.5224161.113276e-08
0.71.5223821.115200e-08
0.7023761.5223161.118986e-08
0.7059791.5222161.124724e-08
0.7095991.5221171.130492e-08
0.7132381.5220191.136289e-08
0.7168961.5219221.142116e-08
0.7205731.5218251.147973e-08
0.7242681.5217291.153860e-08
0.7279831.5216341.159777e-08
0.7317161.521541.165724e-08
0.7354691.5214461.171702e-08
0.7392411.5213531.177711e-08
0.7430321.521261.183750e-08
0.7468431.5211691.189820e-08
0.7506731.5210781.195922e-08
0.7545231.5209871.202055e-08
0.7583921.5208971.208219e-08
0.7622821.5208081.214415e-08
0.7661911.520721.220642e-08
0.770121.5206321.226902e-08
0.774071.5205441.233194e-08
0.778041.5204571.239517e-08
0.782031.5203711.245874e-08
0.7860411.5202861.252263e-08
0.7900721.52021.258685e-08
0.7941241.5201161.265139e-08
0.7981961.5200321.271627e-08
0.81.5199951.274500e-08
0.802291.5199481.278150e-08
0.8064051.5198651.284709e-08
0.810541.5197831.291301e-08
0.8146971.5197011.297927e-08
0.8188751.5196191.304587e-08
0.8230751.5195381.311281e-08
0.8272961.5194581.318010e-08
0.8315391.5193771.324773e-08
0.8358031.5192981.331571e-08
0.840091.5192181.338403e-08
0.8443981.519141.345271e-08
0.8487291.5190611.352174e-08
0.851.5190381.354200e-08
0.8530821.5189831.359106e-08
0.8574571.5189061.366071e-08
0.8618541.5188281.373072e-08
0.8662741.5187511.380108e-08
0.8707171.5186751.387181e-08
0.8751821.5185991.394290e-08
0.8796711.5185231.401436e-08
0.8841821.5184481.408618e-08
0.8887171.5183731.415837e-08
0.8932741.5182981.423093e-08
0.8978561.5182231.430386e-08
0.91.5181891.433800e-08
0.902461.5181491.437722e-08
0.9070881.5180761.445099e-08
0.9117411.5180021.452514e-08
0.9164161.5179291.459968e-08
0.9211161.5178561.467459e-08
0.925841.5177831.474989e-08
0.9305881.5177111.482558e-08
0.9353611.5176391.490165e-08
0.9401581.5175671.497812e-08
0.944981.5174951.505497e-08
0.9498261.5174241.513222e-08
0.951.5174211.513500e-08
0.9546971.5173521.520978e-08
0.9595931.5172811.528772e-08
0.9645151.5172111.536607e-08
0.9694611.517141.544482e-08
0.9744331.517071.552397e-08
0.979431.5169991.560353e-08
0.9844531.5169291.568350e-08
0.9895021.516861.576387e-08
0.9945771.516791.584466e-08
0.9996781.516721.592587e-08
11.5167161.593100e-08
1.00481.5166511.600755e-08
1.009961.5165821.608966e-08
1.015141.5165121.617219e-08
1.020341.5164431.625514e-08
1.025581.5163741.633851e-08
1.030841.5163061.642232e-08
1.036121.5162371.650655e-08
1.041441.5161681.659122e-08
1.046781.51611.667632e-08
1.052151.5160311.676185e-08
1.057541.5159631.684783e-08
1.061.5159321.688700e-08
1.062971.5158951.693425e-08
1.068421.5158261.702113e-08
1.07391.5157581.710844e-08
1.07941.515691.719621e-08
1.084941.5156221.728443e-08
1.09051.5155531.737309e-08
1.09611.5154851.746222e-08
1.101721.5154171.755180e-08
1.107371.5153491.764184e-08
1.113051.5152811.773234e-08
1.118761.5152131.782330e-08
1.124491.5151441.791474e-08
1.130261.5150761.800664e-08
1.136061.5150081.809901e-08
1.141881.514941.819185e-08
1.147741.5148711.828518e-08
1.153621.5148031.837898e-08
1.159541.5147341.847326e-08
1.165491.5146661.856802e-08
1.171471.5145971.866328e-08
1.177471.5145281.875902e-08
1.183511.5144591.885525e-08
1.189581.514391.895197e-08
1.195681.5143211.904919e-08
1.21.5142721.911800e-08
1.201811.5142521.975630e-08
1.207981.5141832.192484e-08
1.214171.5141132.410450e-08
1.22041.5140432.629535e-08
1.226661.5139742.849743e-08
1.232951.5139043.071080e-08
1.239271.5138343.293552e-08
1.245631.5137633.517165e-08
1.252021.5136933.741925e-08
1.258441.5136223.967838e-08
1.264891.5135514.194910e-08
1.271381.513484.423145e-08
1.27791.5134094.652552e-08
1.284451.5133374.883135e-08
1.291041.5132655.114900e-08
1.297661.5131935.347854e-08
1.304321.5131215.582003e-08
1.311011.5130485.817353e-08
1.317731.5129756.053909e-08
1.324491.5129026.291679e-08
1.331281.5128296.530668e-08
1.338111.5127556.770883e-08
1.344971.5126817.012330e-08
1.351871.5126077.255015e-08
1.35881.5125327.498945e-08
1.365771.5124577.744126e-08
1.372771.5123827.990564e-08
1.379811.5123068.238266e-08
1.386891.512238.487238e-08
1.3941.5121548.737487e-08
1.41.512098.948500e-08
1.401151.5120778.978066e-08
1.408341.5129.162544e-08
1.415561.5119239.347969e-08
1.422821.5118459.534344e-08
1.430121.5117679.721675e-08
1.437451.5116889.909967e-08
1.444821.5116091.009922e-07
1.452231.5115291.028945e-07
1.459681.5114491.048066e-07
1.467171.5113691.067284e-07
1.474691.5112881.086601e-07
1.482251.5112061.106017e-07
1.489861.5111251.125533e-07
1.49751.5110421.145148e-07
1.505181.5109591.164865e-07
1.51291.5108761.184682e-07
1.520651.5107921.204601e-07
1.528451.5107081.224622e-07
1.536291.5106231.244746e-07
1.544171.5105371.264973e-07
1.552091.5104511.285304e-07
1.560051.5103641.305739e-07
1.568051.5102771.326279e-07
1.576091.5101891.346924e-07
1.584181.5101011.367676e-07
1.59231.5100121.388533e-07
1.61.5099271.408300e-07
1.600471.5099221.420050e-07
1.608671.5098321.626773e-07
1.616921.5097411.834556e-07
1.625221.509652.043405e-07
1.633551.5095572.253324e-07
1.641931.5094642.464321e-07
1.650351.5093712.676400e-07
1.658811.5092772.889566e-07
1.667321.5091823.103825e-07
1.675871.5090863.319183e-07
1.684471.5089893.535646e-07
1.693111.5088923.753219e-07
1.701791.5087943.971908e-07
1.710521.5086964.191718e-07
1.719291.5085964.412656e-07
1.728111.5084964.634726e-07
1.736971.5083954.857936e-07
1.745881.5082935.082290e-07
1.754831.508195.307795e-07
1.763831.5080865.534456e-07
1.772881.5079825.762280e-07
1.781971.5078775.991272e-07
1.791111.507776.221439e-07
1.81.5076676.445400e-07
1.800291.5076636.460278e-07
1.809531.5075556.928687e-07
1.818811.5074477.399499e-07
1.828131.5073377.872725e-07
1.837511.5072268.348378e-07
1.846931.5071148.826470e-07
1.856411.5070019.307015e-07
1.865931.5068889.790023e-07
1.87551.5067731.027551e-06
1.885111.5066571.076348e-06
1.894781.5065411.125396e-06
1.90451.5064231.174696e-06
1.914271.5063041.224248e-06
1.924081.5061841.274054e-06
1.933951.5060631.324116e-06
1.943871.5059411.374435e-06
1.953841.5058181.425011e-06
1.963861.5056931.475847e-06
1.973931.5055681.526944e-06
1.984051.5054411.578302e-06
1.994231.5053131.629925e-06
21.505241.659200e-06
2.004461.5051841.706368e-06
2.014741.5050531.815160e-06
2.025071.5049221.924510e-06
2.035461.5047892.034421e-06
2.045891.5046552.144895e-06
2.056391.504522.255936e-06
2.066931.5043832.367547e-06
2.077531.5042452.479730e-06
2.088191.5041052.592488e-06
2.09891.5039652.705824e-06
2.109661.5038232.819742e-06
2.120481.5036792.934244e-06
2.131361.5035343.049333e-06
2.142291.5033883.165013e-06
2.153271.503243.281286e-06
2.164321.5030913.398155e-06
2.175421.502943.515623e-06
2.186571.5027883.633694e-06
2.197791.5026343.752370e-06
2.21.5026033.775800e-06
2.209061.5024783.872280e-06
2.220391.5023213.992959e-06
2.231771.5021634.114256e-06
2.243221.5020034.236176e-06
2.254721.5018414.358720e-06
2.266291.5016774.481894e-06
2.277911.5015124.605698e-06
2.289591.5013454.730138e-06
2.301331.5011764.855216e-06
2.313141.5010064.980936e-06
2.3251.5008345.107300e-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
—