Optical constants

Refractive index of H-K6 (CDGM)

H-K6: 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
1.51112
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.2835
Permittivity ε2
2.82923e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
60.479
Chromatic dispersion dn/dλ
-0.0436831 µm⁻¹
Group index ng
1.53679
Group velocity dispersion
75.5111 fs²/mm
Dispersion parameter D
-411.953 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-K6 (CDGM): H-K6
cdgm_h_k6 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-K6", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_k6.range_nm)  # (365, 1014) nm
eps = cdgm_h_k6.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=2.25024516−0.00758714819⁢λ2.0+0.0126303778⁢λ−2.0−0.000229001819⁢λ−4.0+5.80225939×10-5⁢λ−6.0−2.84094604×10-6⁢λ−8.0

Valid from 0.365 to 1.014 µm.

Coefficients as stored
CiValue
C12.25024516
C2-0.00758714819
C32.0
C40.0126303778
C5-2.0
C6-0.000229001819
C7-4.0
C85.80225939e-05
C9-6.0
C10-2.84094604e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.84e-06 1.68e-08 -6.96e-11 4.72e-07 -6.38e-11 0.217
nd
1.511125
Vd
60.478905
glass code
511605
density
value: 2530
thermal expansion
value: 8.5e-06, temperature range: 243 343; value: 9.9e-06, temperature range: 293 573
resistance
climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -6.37e-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-K6 (CDGM), H-K6: n and k versus wavelength
λ (µm)nk
0.3651.531881.452100e-08
0.3659361.5317011.401188e-08
0.3668741.5315231.350144e-08
0.3678151.5313451.298971e-08
0.3687581.5311691.247665e-08
0.3697041.5309941.196229e-08
0.371.5309391.180100e-08
0.3706511.5308191.182178e-08
0.3716021.5306461.185210e-08
0.3725551.5304731.188249e-08
0.373511.5303021.191297e-08
0.3744681.5301311.194352e-08
0.3754281.5299621.197415e-08
0.376391.5297931.200485e-08
0.3773561.5296261.203564e-08
0.3783231.5294591.206651e-08
0.3792931.5292931.209745e-08
0.381.5291731.212000e-08
0.3802661.5291291.204573e-08
0.3812411.5289651.177317e-08
0.3822181.5288021.149991e-08
0.3831981.528641.122594e-08
0.3841811.5284791.095128e-08
0.3851661.5283191.067591e-08
0.3861541.5281591.039984e-08
0.3871441.5280011.012306e-08
0.3881361.5278449.845569e-09
0.3891321.5276879.567367e-09
0.391.5275529.324600e-09
0.3901291.5275319.327691e-09
0.391131.5273779.351598e-09
0.3921331.5272239.375567e-09
0.3931381.527079.399598e-09
0.3941461.5269189.423690e-09
0.3951571.5267679.447844e-09
0.396171.5266169.472060e-09
0.3971861.5264679.496338e-09
0.3982041.5263189.520678e-09
0.3992251.526179.545081e-09
0.41.5260599.563600e-09
0.4002491.5260249.569551e-09
0.4012751.5258779.594099e-09
0.4023041.5257329.618711e-09
0.4033351.5255889.643385e-09
0.404371.5254449.668123e-09
0.4054071.5253029.692924e-09
0.4064461.525169.717789e-09
0.4074881.5250199.742717e-09
0.4085331.5248789.767710e-09
0.4095811.5247399.792766e-09
0.4106311.52469.817887e-09
0.4116841.5244629.843072e-09
0.4127391.5243259.868322e-09
0.4137981.5241899.893636e-09
0.4148591.5240539.919016e-09
0.4159221.5239199.944460e-09
0.4169891.5237859.969970e-09
0.4180581.5236519.995545e-09
0.419131.5235191.002119e-08
0.421.5234121.004200e-08
0.4202051.5233871.004689e-08
0.4212821.5232561.007264e-08
0.4223621.5231261.009846e-08
0.4234451.5229971.012434e-08
0.4245311.5228681.015029e-08
0.4256191.522741.017630e-08
0.4267111.5226131.020239e-08
0.4278051.5224861.022854e-08
0.4289021.5223611.025475e-08
0.4300021.5222351.028104e-08
0.4311041.5221111.030739e-08
0.4322091.5219881.033381e-08
0.4333181.5218651.036029e-08
0.4344291.5217421.038685e-08
0.4355431.5216211.041347e-08
0.4366591.52151.044016e-08
0.4377791.521381.046692e-08
0.4389021.521261.049375e-08
0.441.5211441.052000e-08
0.4400271.5211411.052064e-08
0.4411551.5210231.054761e-08
0.4422861.5209061.057465e-08
0.443421.5207891.060175e-08
0.4445571.5206731.062892e-08
0.4456971.5205571.065617e-08
0.446841.5204421.068348e-08
0.4479861.5203281.071086e-08
0.4491351.5202151.073832e-08
0.4502861.5201021.076584e-08
0.4514411.5199891.079343e-08
0.4525981.5198781.082110e-08
0.4537591.5197671.084883e-08
0.4549221.5196561.087664e-08
0.4560891.5195461.090452e-08
0.4572581.5194371.093247e-08
0.4584311.5193291.096049e-08
0.4596061.5192211.098858e-08
0.461.5191851.099800e-08
0.4607851.5191131.101675e-08
0.4619661.5190071.104499e-08
0.4631511.51891.107330e-08
0.4643381.5187951.110168e-08
0.4655291.518691.113014e-08
0.4667221.5185851.115866e-08
0.4679191.5184811.118727e-08
0.4691191.5183781.121594e-08
0.4703221.5182751.124469e-08
0.4715281.5181731.127351e-08
0.4727371.5180711.130241e-08
0.4739491.517971.133138e-08
0.4751641.517871.136042e-08
0.4763821.517771.138954e-08
0.4776041.517671.141873e-08
0.4788291.5175711.144800e-08
0.481.5174781.147600e-08
0.4800561.5174731.147735e-08
0.4812871.5173751.150683e-08
0.4825211.5172781.153638e-08
0.4837581.5171811.156602e-08
0.4849991.5170851.159572e-08
0.4862421.5169891.162551e-08
0.4874891.5168941.165537e-08
0.4887391.5167991.168530e-08
0.4899921.5167051.171532e-08
0.4912491.5166111.174541e-08
0.4925081.5165181.177558e-08
0.4937711.5164261.180582e-08
0.4950371.5163331.183614e-08
0.4963071.5162421.186654e-08
0.4975791.516151.189702e-08
0.4988551.516061.192758e-08
0.51.5159791.195500e-08
0.5001341.5159691.194644e-08
0.5014161.515881.186455e-08
0.5027021.515791.178246e-08
0.5039911.5157021.170015e-08
0.5052831.5156131.161763e-08
0.5065791.5155251.153490e-08
0.5078781.5154381.145196e-08
0.509181.5153511.136881e-08
0.5104861.5152641.128544e-08
0.5117951.5151781.120186e-08
0.5131071.5150931.111807e-08
0.5144231.5150071.103406e-08
0.5157421.5149231.094983e-08
0.5170641.5148381.086539e-08
0.518391.5147541.078074e-08
0.5197191.5146711.069586e-08
0.5210521.5145881.061077e-08
0.5223881.5145051.052546e-08
0.5237271.5144231.043993e-08
0.525071.5143411.035418e-08
0.5264161.514261.026821e-08
0.5277661.5141791.018203e-08
0.5291191.5140991.009562e-08
0.5304761.5140191.000898e-08
0.5318361.5139399.922131e-09
0.53321.513869.835055e-09
0.5345671.5137819.747756e-09
0.5359381.5137029.660233e-09
0.5373121.5136249.572485e-09
0.538691.5135469.484513e-09
0.5400711.5134699.396314e-09
0.5414561.5133929.307890e-09
0.5428441.5133169.219239e-09
0.5442361.513249.130361e-09
0.5456311.5131649.041255e-09
0.547031.5130888.951920e-09
0.5484331.5130138.862356e-09
0.5498391.5129398.772563e-09
0.551.512938.762300e-09
0.5512491.5128648.782201e-09
0.5526631.512798.804720e-09
0.554081.5127178.827297e-09
0.55551.5126448.849931e-09
0.5569251.5125718.872624e-09
0.5583531.5124988.895375e-09
0.5597841.5124268.918184e-09
0.561221.5123548.941052e-09
0.5626591.5122838.963979e-09
0.5641011.5122128.986964e-09
0.5655481.5121419.010008e-09
0.5669981.5120719.033111e-09
0.5684521.5120019.056273e-09
0.5699091.5119319.079495e-09
0.5713711.5118629.102777e-09
0.5728361.5117939.126118e-09
0.5743041.5117249.149519e-09
0.5757771.5116559.172980e-09
0.5772531.5115879.196501e-09
0.5787331.511529.220082e-09
0.5802171.5114529.243724e-09
0.5817051.5113859.267426e-09
0.5831971.5113189.291190e-09
0.5846921.5112529.315014e-09
0.5861911.5111869.338899e-09
0.5876941.511129.362846e-09
0.5892011.5110549.386853e-09
0.5907121.5109899.410923e-09
0.5922271.5109249.435054e-09
0.5937451.5108599.459247e-09
0.5952681.5107959.483502e-09
0.5967941.5107319.507820e-09
0.5983241.5106679.532199e-09
0.5998581.5106049.556641e-09
0.61.5105989.558900e-09
0.6013961.510549.581132e-09
0.6029381.5104789.605684e-09
0.6044841.5104159.630300e-09
0.6060341.5103539.654978e-09
0.6075881.5102919.679719e-09
0.6091461.5102299.704524e-09
0.6107081.5101679.729393e-09
0.6122741.5101069.754326e-09
0.6138441.5100459.779322e-09
0.6154181.5099859.804382e-09
0.6169961.5099249.829507e-09
0.6185781.5098649.854696e-09
0.6201641.5098049.879950e-09
0.6217541.5097459.905268e-09
0.6233481.5096859.930651e-09
0.6249471.5096269.956100e-09
0.6265491.5095689.981614e-09
0.6281561.5095091.000719e-08
0.6297661.5094511.003284e-08
0.6313811.5093931.005855e-08
0.6331.5093351.008432e-08
0.6346231.5092771.011017e-08
0.636251.509221.013608e-08
0.6378821.5091631.016205e-08
0.6395171.5091061.018809e-08
0.6411571.509051.021420e-08
0.6428011.5089941.024038e-08
0.6444491.5089381.026662e-08
0.6461021.5088821.029293e-08
0.6477581.5088261.031931e-08
0.6494191.5087711.034575e-08
0.651.5087521.035500e-08
0.6510841.5087161.037228e-08
0.6527541.5086611.039889e-08
0.6544271.5086061.042557e-08
0.6561051.5085521.045232e-08
0.6577881.5084981.047914e-08
0.6594741.5084441.050602e-08
0.6611651.508391.053298e-08
0.6628611.5083361.056000e-08
0.664561.5082831.058709e-08
0.6662641.508231.061425e-08
0.6679731.5081771.064148e-08
0.6696851.5081251.066878e-08
0.6714021.5080721.069615e-08
0.6731241.508021.072360e-08
0.674851.5079681.075111e-08
0.676581.5079161.077869e-08
0.6783151.5078651.080634e-08
0.6800541.5078131.083407e-08
0.6817981.5077621.086186e-08
0.6835461.5077111.088973e-08
0.6852991.507661.091767e-08
0.6870561.507611.094567e-08
0.6888181.5075591.097376e-08
0.6905841.5075091.100191e-08
0.6923551.5074591.103013e-08
0.694131.5074091.105843e-08
0.695911.507361.108680e-08
0.6976941.507311.111524e-08
0.6994831.5072611.114376e-08
0.71.5072471.115200e-08
0.7012771.5072121.117234e-08
0.7030751.5071631.120098e-08
0.7048771.5071151.122970e-08
0.7066851.5070661.125849e-08
0.7084971.5070181.128735e-08
0.7103131.506971.131629e-08
0.7121351.5069221.134531e-08
0.7139611.5068741.137440e-08
0.7157911.5068271.140356e-08
0.7176271.5067791.143279e-08
0.7194671.5067321.146211e-08
0.7213121.5066851.149149e-08
0.7231611.5066381.152096e-08
0.7250151.5065921.155049e-08
0.7268741.5065451.158011e-08
0.7287381.5064991.160980e-08
0.7306071.5064531.163956e-08
0.732481.5064071.166941e-08
0.7343581.5063611.169933e-08
0.7362411.5063151.172932e-08
0.7381291.506271.175939e-08
0.7400221.5062241.178954e-08
0.7419191.5061791.181977e-08
0.7438211.5061341.185007e-08
0.7457291.5060891.188046e-08
0.7476411.5060451.191092e-08
0.7495581.5061.194145e-08
0.751481.5059561.197207e-08
0.7534061.5059111.200277e-08
0.7553381.5058671.203354e-08
0.7572751.5058231.206439e-08
0.7592171.505781.209532e-08
0.7611631.5057361.212633e-08
0.7631151.5056921.215742e-08
0.7650721.5056491.218859e-08
0.7670341.5056061.221984e-08
0.7691.5055631.225117e-08
0.7709721.505521.228259e-08
0.7729491.5054771.231408e-08
0.7749311.5054341.234565e-08
0.7769181.5053921.237730e-08
0.778911.5053491.240903e-08
0.7809071.5053071.244085e-08
0.7829091.5052651.247275e-08
0.7849171.5052231.250473e-08
0.7869291.5051811.253679e-08
0.7889471.505141.256893e-08
0.790971.5050981.260115e-08
0.7929981.5050571.263346e-08
0.7950321.5050151.266585e-08
0.797071.5049741.269833e-08
0.7991141.5049331.273088e-08
0.81.5049151.274500e-08
0.8011631.5048921.276354e-08
0.8032171.5048511.279628e-08
0.8052771.504811.282911e-08
0.8073411.504771.286202e-08
0.8094111.5047291.289502e-08
0.8114871.5046891.292810e-08
0.8135681.5046491.296127e-08
0.8156541.5046091.299452e-08
0.8177451.5045691.302786e-08
0.8198421.5045291.306128e-08
0.8219441.5044891.309479e-08
0.8240521.5044491.312838e-08
0.8261641.504411.316206e-08
0.8282831.504371.319583e-08
0.8304071.5043311.322968e-08
0.8325361.5042921.326362e-08
0.8346711.5042531.329765e-08
0.8368111.5042141.333176e-08
0.8389561.5041751.336596e-08
0.8411081.5041361.340025e-08
0.8432641.5040971.343463e-08
0.8454261.5040591.346910e-08
0.8475941.504021.350365e-08
0.8497671.5039821.353829e-08
0.851.5039781.354200e-08
0.8519461.5039441.357299e-08
0.8541311.5039061.360776e-08
0.8563211.5038671.364263e-08
0.8585171.503831.367758e-08
0.8607181.5037921.371263e-08
0.8629251.5037541.374776e-08
0.8651371.5037161.378299e-08
0.8673561.5036781.381830e-08
0.869581.5036411.385371e-08
0.8718091.5036041.388920e-08
0.8740451.5035661.392479e-08
0.8762861.5035291.396047e-08
0.8785331.5034921.399624e-08
0.8807851.5034551.403210e-08
0.8830441.5034181.406806e-08
0.8853081.5033811.410410e-08
0.8875781.5033441.414024e-08
0.8898541.5033071.417647e-08
0.8921351.503271.421280e-08
0.8944231.5032341.424921e-08
0.8967161.5031971.428572e-08
0.8990161.5031611.432233e-08
0.91.5031451.433800e-08
0.9013211.5031251.435905e-08
0.9036321.5030881.439589e-08
0.9059491.5030521.443282e-08
0.9082721.5030161.446985e-08
0.9106011.502981.450697e-08
0.9129351.5029441.454419e-08
0.9152761.5029081.458150e-08
0.9176231.5028721.461891e-08
0.9199761.5028361.465642e-08
0.9223351.5028011.469402e-08
0.92471.5027651.473172e-08
0.9270711.502731.476951e-08
0.9294481.5026941.480740e-08
0.9318311.5026591.484539e-08
0.934221.5026231.488347e-08
0.9366161.5025881.492166e-08
0.9390171.5025531.495994e-08
0.9414251.5025181.499832e-08
0.9438391.5024821.503679e-08
0.9462591.5024471.507537e-08
0.9486851.5024121.511405e-08
0.951.5023931.513500e-08
0.9511181.5023771.515280e-08
0.9535571.5023431.519162e-08
0.9560021.5023081.523055e-08
0.9584531.5022731.526957e-08
0.9609111.5022381.530870e-08
0.9633741.5022041.534792e-08
0.9658451.5021691.538725e-08
0.9683211.5021341.542667e-08
0.9708041.50211.546620e-08
0.9732931.5020651.550583e-08
0.9757891.5020311.554556e-08
0.9782911.5019971.558539e-08
0.9807991.5019621.562532e-08
0.9833141.5019281.566536e-08
0.9858351.5018941.570550e-08
0.9883631.501861.574574e-08
0.9908971.5018251.578609e-08
0.9934381.5017911.582653e-08
0.9959851.5017571.586709e-08
0.9985391.5017231.590774e-08
11.5017041.593100e-08
1.00111.5016891.594852e-08
1.003671.5016551.598942e-08
1.006241.5016211.603042e-08
1.008821.5015881.607153e-08
1.011411.5015541.611275e-08
1.0141.501521.615407e-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
—