Optical constants

Refractive index of H-K5 (CDGM)

H-K5: n,k 0.365–1.014 µm

Data
formula 3 + tabulated k
Range
0.365–1.014 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–1.014 µm
Refractive index n
1.51007
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.28031
Permittivity ε2
4.24289e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
63.365
Chromatic dispersion dn/dλ
-0.0417068 µm⁻¹
Group index ng
1.53458
Group velocity dispersion
70.8111 fs²/mm
Dispersion parameter D
-386.312 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-K5 (CDGM): H-K5
cdgm_h_k5 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-K5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_k5.range_nm)  # (365, 1014) nm
eps = cdgm_h_k5.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

Polynomial (formula 3), λ in µm
n2=2.25018356−0.00894066156⁢λ2.0+0.0114317829⁢λ−2.0−7.33393278×10-5⁢λ−4.0+3.49616695×10-5⁢λ−6.0−1.80100775×10-6⁢λ−8.0

Valid from 0.365 to 1.014 µm.

Coefficients as stored
CiValue
C12.25018356
C2-0.00894066156
C32.0
C40.0114317829
C5-2.0
C6-7.33393278e-05
C7-4.0
C83.49616695e-05
C9-6.0
C10-1.80100775e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.53e-07 1.48e-08 -9.74e-12 4.45e-07 7.77e-10 0.202
nd
1.510072
Vd
63.364525
glass code
510634
density
value: 2470
thermal expansion
value: 7.5e-06, temperature range: 243 343; value: 8.9e-06, temperature range: 293 573
dPgF
0.0012
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.16e-07 K⁻¹ at 633 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 418 wavelengths, the same grid as the API and the library
H-K5 (CDGM), H-K5: n and k versus wavelength
λ (µm)nk
0.3651.529622.329150e-08
0.3659361.5294532.280325e-08
0.3668741.5292862.231374e-08
0.3678151.5291212.182298e-08
0.3687581.5289562.133096e-08
0.3697041.5287922.083768e-08
0.371.5287412.068300e-08
0.3706511.528632.052111e-08
0.3716021.5284682.028494e-08
0.3725551.5283072.004817e-08
0.373511.5281471.981078e-08
0.3744681.5279871.957279e-08
0.3754281.5278291.933419e-08
0.376391.5276721.909498e-08
0.3773561.5275151.885515e-08
0.3783231.5273591.861471e-08
0.3792931.5272051.837365e-08
0.381.5270931.819800e-08
0.3802661.5270511.812783e-08
0.3812411.5268981.787032e-08
0.3822181.5267451.761216e-08
0.3831981.5265941.735333e-08
0.3841811.5264431.709383e-08
0.3851661.5262941.683368e-08
0.3861541.5261451.657285e-08
0.3871441.5259971.631136e-08
0.3881361.525851.604919e-08
0.3891321.5257031.578636e-08
0.391.5255771.555700e-08
0.3901291.5255581.556215e-08
0.391131.5254131.560196e-08
0.3921331.5252691.564187e-08
0.3931381.5251261.568189e-08
0.3941461.5249841.572201e-08
0.3951571.5248421.576223e-08
0.396171.5247021.580256e-08
0.3971861.5245621.584299e-08
0.3982041.5244221.588352e-08
0.3992251.5242841.592416e-08
0.41.524181.595500e-08
0.4002491.5241471.596493e-08
0.4012751.524011.600587e-08
0.4023041.5238741.604693e-08
0.4033351.5237381.608809e-08
0.404371.5236041.612935e-08
0.4054071.523471.617072e-08
0.4064461.5233371.621220e-08
0.4074881.5232051.625378e-08
0.4085331.5230731.629547e-08
0.4095811.5229431.633726e-08
0.4106311.5228131.637917e-08
0.4116841.5226831.642118e-08
0.4127391.5225551.646329e-08
0.4137981.5224271.650552e-08
0.4148591.52231.654786e-08
0.4159221.5221731.659030e-08
0.4169891.5220481.663285e-08
0.4180581.5219231.667551e-08
0.419131.5217981.671828e-08
0.421.5216981.675300e-08
0.4202051.5216751.676116e-08
0.4212821.5215521.680415e-08
0.4223621.5214291.684725e-08
0.4234451.5213081.689046e-08
0.4245311.5211871.693378e-08
0.4256191.5210671.697722e-08
0.4267111.5209471.702076e-08
0.4278051.5208281.706441e-08
0.4289021.520711.710818e-08
0.4300021.5205921.715206e-08
0.4311041.5204761.719605e-08
0.4322091.5203591.724016e-08
0.4333181.5202441.728438e-08
0.4344291.5201291.732871e-08
0.4355431.5200141.737315e-08
0.4366591.5199011.741771e-08
0.4377791.5197881.746239e-08
0.4389021.5196751.750717e-08
0.441.5195661.755100e-08
0.4400271.5195631.755208e-08
0.4411551.5194521.759709e-08
0.4422861.5193411.764223e-08
0.443421.5192311.768748e-08
0.4445571.5191221.773284e-08
0.4456971.5190131.777832e-08
0.446841.5189051.782392e-08
0.4479861.5187971.786964e-08
0.4491351.518691.791547e-08
0.4502861.5185841.796142e-08
0.4514411.5184781.800749e-08
0.4525981.5183731.805367e-08
0.4537591.5182681.809997e-08
0.4549221.5181641.814640e-08
0.4560891.518061.819294e-08
0.4572581.5179571.823960e-08
0.4584311.5178551.828638e-08
0.4596061.5177531.833328e-08
0.461.5177191.834900e-08
0.4607851.5176521.822979e-08
0.4619661.5175511.805026e-08
0.4631511.5174511.787028e-08
0.4643381.5173511.768983e-08
0.4655291.5172521.750891e-08
0.4667221.5171531.732754e-08
0.4679191.5170551.714570e-08
0.4691191.5169571.696339e-08
0.4703221.516861.678062e-08
0.4715281.5167641.659737e-08
0.4727371.5166681.641366e-08
0.4739491.5165721.622947e-08
0.4751641.5164771.604482e-08
0.4763821.5163831.585969e-08
0.4776041.5162891.567408e-08
0.4788291.5161951.548800e-08
0.481.5161061.531000e-08
0.4800561.5161021.531179e-08
0.4812871.516011.535100e-08
0.4825211.5159181.539030e-08
0.4837581.5158261.542971e-08
0.4849991.5157351.546921e-08
0.4862421.5156441.550882e-08
0.4874891.5155541.554853e-08
0.4887391.5154651.558834e-08
0.4899921.5153761.562826e-08
0.4912491.5152871.566827e-08
0.4925081.5151991.570839e-08
0.4937711.5151111.574861e-08
0.4950371.5150231.578894e-08
0.4963071.5149371.582936e-08
0.4975791.514851.586990e-08
0.4988551.5147641.591053e-08
0.51.5146881.594700e-08
0.5001341.5146791.593950e-08
0.5014161.5145941.586776e-08
0.5027021.5145091.579584e-08
0.5039911.5144251.572374e-08
0.5052831.5143411.565145e-08
0.5065791.5142581.557897e-08
0.5078781.5141751.550631e-08
0.509181.5140921.543346e-08
0.5104861.514011.536043e-08
0.5117951.5139281.528721e-08
0.5131071.5138471.521380e-08
0.5144231.5137661.514020e-08
0.5157421.5136861.506641e-08
0.5170641.5136061.499244e-08
0.518391.5135261.491827e-08
0.5197191.5134471.484392e-08
0.5210521.5133681.476937e-08
0.5223881.513291.469464e-08
0.5237271.5132121.461971e-08
0.525071.5131341.454459e-08
0.5264161.5130571.446927e-08
0.5277661.512981.439377e-08
0.5291191.5129041.431807e-08
0.5304761.5128281.424217e-08
0.5318361.5127521.416608e-08
0.53321.5126761.408980e-08
0.5345671.5126011.401332e-08
0.5359381.5125271.393664e-08
0.5373121.5124531.385977e-08
0.538691.5123791.378270e-08
0.5400711.5123051.370544e-08
0.5414561.5122321.362797e-08
0.5428441.5121591.355031e-08
0.5442361.5120871.347244e-08
0.5456311.5120151.339438e-08
0.547031.5119431.331612e-08
0.5484331.5118721.323766e-08
0.5498391.5118011.315899e-08
0.551.5117921.315000e-08
0.5512491.511731.317985e-08
0.5526631.5116591.321364e-08
0.554081.5115891.324750e-08
0.55551.511521.328146e-08
0.5569251.511451.331550e-08
0.5583531.5113811.334963e-08
0.5597841.5113131.338385e-08
0.561221.5112441.341815e-08
0.5626591.5111761.345254e-08
0.5641011.5111081.348702e-08
0.5655481.5110411.352159e-08
0.5669981.5109741.355625e-08
0.5684521.5109071.359100e-08
0.5699091.5108411.362583e-08
0.5713711.5107751.366076e-08
0.5728361.5107091.369577e-08
0.5743041.5106431.373088e-08
0.5757771.5105781.376607e-08
0.5772531.5105131.380136e-08
0.5787331.5104481.383673e-08
0.5802171.5103841.387220e-08
0.5817051.510321.390775e-08
0.5831971.5102561.394340e-08
0.5846921.5101931.397914e-08
0.5861911.510131.401497e-08
0.5876941.5100671.405089e-08
0.5892011.5100041.408691e-08
0.5907121.5099421.412302e-08
0.5922271.509881.415922e-08
0.5937451.5098181.419551e-08
0.5952681.5097571.423189e-08
0.5967941.5096951.426837e-08
0.5983241.5096341.430495e-08
0.5998581.5095741.434161e-08
0.61.5095681.434500e-08
0.6013961.5095131.437840e-08
0.6029381.5094531.441529e-08
0.6044841.5093931.445227e-08
0.6060341.5093341.448934e-08
0.6075881.5092751.452651e-08
0.6091461.5092151.456378e-08
0.6107081.5091571.460114e-08
0.6122741.5090981.463859e-08
0.6138441.509041.467614e-08
0.6154181.5089821.471379e-08
0.6169961.5089241.475154e-08
0.6185781.5088661.478938e-08
0.6201641.5088091.482732e-08
0.6217541.5087521.486536e-08
0.6233481.5086951.490349e-08
0.6249471.5086391.494172e-08
0.6265491.5085821.498005e-08
0.6281561.5085261.501848e-08
0.6297661.508471.505701e-08
0.6313811.5084151.509563e-08
0.6331.5083591.513436e-08
0.6346231.5083041.517318e-08
0.636251.5082491.521210e-08
0.6378821.5081951.525113e-08
0.6395171.508141.529025e-08
0.6411571.5080861.532947e-08
0.6428011.5080321.536880e-08
0.6444491.5079781.540822e-08
0.6461021.5079251.544775e-08
0.6477581.5078711.548738e-08
0.6494191.5078181.552710e-08
0.651.50781.554100e-08
0.6510841.5077651.544582e-08
0.6527541.5077131.529928e-08
0.6544271.507661.515236e-08
0.6561051.5076081.500507e-08
0.6577881.5075561.485739e-08
0.6594741.5075041.470934e-08
0.6611651.5074521.456091e-08
0.6628611.5074011.441210e-08
0.664561.5073491.426290e-08
0.6662641.5072981.411333e-08
0.6679731.5072481.396337e-08
0.6696851.5071971.381302e-08
0.6714021.5071461.366229e-08
0.6731241.5070961.351118e-08
0.674851.5070461.335967e-08
0.676581.5069961.320778e-08
0.6783151.5069471.305550e-08
0.6800541.5068971.290283e-08
0.6817981.5068481.274976e-08
0.6835461.5067991.259631e-08
0.6852991.506751.244246e-08
0.6870561.5067011.228821e-08
0.6888181.5066521.213358e-08
0.6905841.5066041.197854e-08
0.6923551.5065561.182311e-08
0.694131.5065081.166727e-08
0.695911.506461.151104e-08
0.6976941.5064121.135441e-08
0.6994831.5063651.119738e-08
0.71.5063511.115200e-08
0.7012771.5063171.117234e-08
0.7030751.506271.120098e-08
0.7048771.5062231.122970e-08
0.7066851.5061761.125849e-08
0.7084971.506131.128735e-08
0.7103131.5060831.131629e-08
0.7121351.5060371.134531e-08
0.7139611.5059911.137440e-08
0.7157911.5059451.140356e-08
0.7176271.5058991.143279e-08
0.7194671.5058531.146211e-08
0.7213121.5058081.149149e-08
0.7231611.5057621.152096e-08
0.7250151.5057171.155049e-08
0.7268741.5056721.158011e-08
0.7287381.5056271.160980e-08
0.7306071.5055821.163956e-08
0.732481.5055381.166941e-08
0.7343581.5054931.169933e-08
0.7362411.5054491.172932e-08
0.7381291.5054051.175939e-08
0.7400221.5053611.178954e-08
0.7419191.5053171.181977e-08
0.7438211.5052731.185007e-08
0.7457291.5052291.188046e-08
0.7476411.5051861.191092e-08
0.7495581.5051431.194145e-08
0.751481.5050991.197207e-08
0.7534061.5050561.200277e-08
0.7553381.5050131.203354e-08
0.7572751.5049711.206439e-08
0.7592171.5049281.209532e-08
0.7611631.5048851.212633e-08
0.7631151.5048431.215742e-08
0.7650721.5048011.218859e-08
0.7670341.5047591.221984e-08
0.7691.5047171.225117e-08
0.7709721.5046751.228259e-08
0.7729491.5046331.231408e-08
0.7749311.5045911.234565e-08
0.7769181.504551.237730e-08
0.778911.5045081.240903e-08
0.7809071.5044671.244085e-08
0.7829091.5044261.247275e-08
0.7849171.5043851.250473e-08
0.7869291.5043441.253679e-08
0.7889471.5043031.256893e-08
0.790971.5042631.260115e-08
0.7929981.5042221.263346e-08
0.7950321.5041821.266585e-08
0.797071.5041411.269833e-08
0.7991141.5041011.273088e-08
0.81.5040841.274500e-08
0.8011631.5040611.276354e-08
0.8032171.5040211.279628e-08
0.8052771.5039811.282911e-08
0.8073411.5039411.286202e-08
0.8094111.5039011.289502e-08
0.8114871.5038621.292810e-08
0.8135681.5038221.296127e-08
0.8156541.5037831.299452e-08
0.8177451.5037431.302786e-08
0.8198421.5037041.306128e-08
0.8219441.5036651.309479e-08
0.8240521.5036261.312838e-08
0.8261641.5035871.316206e-08
0.8282831.5035481.319583e-08
0.8304071.5035091.322968e-08
0.8325361.5034711.326362e-08
0.8346711.5034321.329765e-08
0.8368111.5033941.333176e-08
0.8389561.5033551.336596e-08
0.8411081.5033171.340025e-08
0.8432641.5032791.343463e-08
0.8454261.5032411.346910e-08
0.8475941.5032031.350365e-08
0.8497671.5031651.353829e-08
0.851.5031611.354200e-08
0.8519461.5031271.357299e-08
0.8541311.5030891.360776e-08
0.8563211.5030511.364263e-08
0.8585171.5030141.367758e-08
0.8607181.5029761.371263e-08
0.8629251.5029391.374776e-08
0.8651371.5029011.378299e-08
0.8673561.5028641.381830e-08
0.869581.5028271.385371e-08
0.8718091.5027891.388920e-08
0.8740451.5027521.392479e-08
0.8762861.5027151.396047e-08
0.8785331.5026781.399624e-08
0.8807851.5026411.403210e-08
0.8830441.5026051.406806e-08
0.8853081.5025681.410410e-08
0.8875781.5025311.414024e-08
0.8898541.5024951.417647e-08
0.8921351.5024581.421280e-08
0.8944231.5024211.424921e-08
0.8967161.5023851.428572e-08
0.8990161.5023491.432233e-08
0.91.5023331.433800e-08
0.9013211.5023121.435905e-08
0.9036321.5022761.439589e-08
0.9059491.502241.443282e-08
0.9082721.5022041.446985e-08
0.9106011.5021681.450697e-08
0.9129351.5021321.454419e-08
0.9152761.5020961.458150e-08
0.9176231.502061.461891e-08
0.9199761.5020241.465642e-08
0.9223351.5019881.469402e-08
0.92471.5019521.473172e-08
0.9270711.5019161.476951e-08
0.9294481.5018811.480740e-08
0.9318311.5018451.484539e-08
0.934221.501811.488347e-08
0.9366161.5017741.492166e-08
0.9390171.5017391.495994e-08
0.9414251.5017031.499832e-08
0.9438391.5016681.503679e-08
0.9462591.5016321.507537e-08
0.9486851.5015971.511405e-08
0.951.5015781.513500e-08
0.9511181.5015621.515280e-08
0.9535571.5015261.519162e-08
0.9560021.5014911.523055e-08
0.9584531.5014561.526957e-08
0.9609111.5014211.530870e-08
0.9633741.5013861.534792e-08
0.9658451.5013511.538725e-08
0.9683211.5013161.542667e-08
0.9708041.5012811.546620e-08
0.9732931.5012461.550583e-08
0.9757891.5012111.554556e-08
0.9782911.5011761.558539e-08
0.9807991.5011411.562532e-08
0.9833141.5011061.566536e-08
0.9858351.5010711.570550e-08
0.9883631.5010371.574574e-08
0.9908971.5010021.578609e-08
0.9934381.5009671.582653e-08
0.9959851.5009321.586709e-08
0.9985391.5008981.590774e-08
11.5008781.593100e-08
1.00111.5008631.594852e-08
1.003671.5008281.598942e-08
1.006241.5007941.603042e-08
1.008821.5007591.607153e-08
1.011411.5007251.611275e-08
1.0141.500691.615407e-08

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
—