Optical constants

Refractive index of H-K50 (CDGM)

H-K50: 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. Note: k data cover 320-2400 nm only; k = 0 elsewhere in the n range 302-2325 nm.

At one wavelength

Range 0.302–2.325 µm
Refractive index n
1.52249
Extinction coefficient k
3.39405e-08
Permittivity ε1
2.31797
Permittivity ε2
1.03348e-07
Absorption coefficient α
0.00725849 cm⁻¹
Penetration depth δ = λ/(2πk)
2.75539e+09 nm
Abbe number Vd
59.481
Chromatic dispersion dn/dλ
-0.045372 µm⁻¹
Group index ng
1.54915
Group velocity dispersion
79.2036 fs²/mm
Dispersion parameter D
-432.098 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-K50 (CDGM): H-K50
cdgm_h_k50 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-K50", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_k50.range_nm)  # (302, 2325) nm
eps = cdgm_h_k50.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=1.19524701λ2λ2−0.00764077104+0.0895076933λ2λ2−0.0318085706+0.920217443λ2λ2−109.312054

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.19524701
C30.00764077104
C40.0895076933
C50.0318085706
C60.920217443
C7109.312054

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.18e-06 1.18e-08 -7.33e-11 5.47e-07 1.51e-09 0.174
nd
1.522490
Vd
59.480754
glass code
522595
density
value: 2520
thermal expansion
value: 7.9e-06, temperature range: 243 343; value: 9.6e-06, temperature range: 293 573
dPgF
-0.0003
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.28e-07 K⁻¹ at 633 nm, dn/dT = -3.62e-07 K⁻¹ at 1310 nm, dn/dT = -4.00e-07 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 320-2400 nm only; k = 0 elsewhere in the n range 302-2325 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 430 wavelengths, the same grid as the API and the library
H-K50 (CDGM), H-K50: n and k versus wavelength
λ (µm)nk
0.3021.5624380
0.3035491.5618080
0.3051061.5611880
0.306671.5605770
0.3082431.5599760
0.3098241.5593830
0.3114131.5587980
0.313011.5582220
0.3146151.5576540
0.3162291.5570950
0.317851.5565430
0.3194811.5559990
0.321.5558285.620800e-06
0.3211191.5554635.233060e-06
0.3227661.5549344.662438e-06
0.3244211.5544134.088890e-06
0.3260851.5538993.512400e-06
0.3277571.5533922.932954e-06
0.3294381.5528912.350536e-06
0.331.5527262.155900e-06
0.3311281.5523982.012998e-06
0.3328261.5519111.797822e-06
0.3345331.5514311.581542e-06
0.3362491.5509581.364153e-06
0.3379731.5504911.145649e-06
0.3397061.550039.260240e-07
0.341.5499528.888100e-07
0.3414481.5495758.181091e-07
0.34321.5491267.326367e-07
0.344961.5486836.467260e-07
0.3467291.5482465.603747e-07
0.3485071.5478144.735806e-07
0.351.5474584.007100e-07
0.3502941.5473893.947623e-07
0.3520911.5469683.584661e-07
0.3538971.5465543.219836e-07
0.3557121.5461442.853141e-07
0.3575361.545742.484565e-07
0.3593691.5453412.114099e-07
0.361.5452051.986700e-07
0.3612121.5449471.876705e-07
0.3630651.5445581.708647e-07
0.3649271.5441741.539728e-07
0.3667981.5437941.369943e-07
0.368681.543421.199287e-07
0.371.5431611.079500e-07
0.370571.543051.063366e-07
0.3724711.5426851.009607e-07
0.3743811.5423249.555724e-08
0.3763011.5419689.012608e-08
0.3782311.5416168.466707e-08
0.381.5412997.966300e-08
0.3801711.5412697.921143e-08
0.382121.5409267.405444e-08
0.384081.5405876.887100e-08
0.386051.5402526.366099e-08
0.388031.5399215.842425e-08
0.391.5395975.321300e-08
0.390021.5395945.319012e-08
0.392021.5392715.087766e-08
0.394031.5389524.855335e-08
0.3960511.5386374.621711e-08
0.3980821.5383264.386889e-08
0.41.5380374.165200e-08
0.4001241.5380184.164393e-08
0.4021761.5377144.151034e-08
0.4042391.5374144.137607e-08
0.4063121.5371174.124110e-08
0.4083961.5368244.110545e-08
0.410491.5365344.096910e-08
0.4125951.5362474.083205e-08
0.4147111.5359644.069430e-08
0.4168381.5356844.055584e-08
0.4189761.5354074.041667e-08
0.421.5352774.035000e-08
0.4211251.5351344.025886e-08
0.4232841.5348644.008381e-08
0.4254551.5345973.990786e-08
0.4276371.5343333.973102e-08
0.429831.5340723.955326e-08
0.4320351.5338143.937460e-08
0.434251.5335583.919501e-08
0.4364771.5333063.901451e-08
0.4387161.5330573.883308e-08
0.441.5329163.872900e-08
0.4409661.532813.881399e-08
0.4432271.5325673.901300e-08
0.44551.5323253.921303e-08
0.4477851.5320873.941409e-08
0.4500821.5318513.961618e-08
0.452391.5316183.981931e-08
0.454711.5313884.002348e-08
0.4570421.531164.022869e-08
0.4593861.5309354.043496e-08
0.461.5308764.048900e-08
0.4617421.5307124.030610e-08
0.464111.5304914.005746e-08
0.466491.5302733.980754e-08
0.4688831.5300583.955634e-08
0.4712871.5298443.930385e-08
0.4737041.5296343.905006e-08
0.4761341.5294253.879497e-08
0.4785751.5292183.853858e-08
0.481.5290993.838900e-08
0.481031.5290143.826455e-08
0.4834971.5288123.796641e-08
0.4859761.5286123.766675e-08
0.4884691.5284153.736555e-08
0.4909741.5282193.706281e-08
0.4934921.5280263.675851e-08
0.4960231.5278343.645266e-08
0.4985671.5276453.614523e-08
0.51.5275393.597200e-08
0.5011231.5274573.595364e-08
0.5036931.5272723.591165e-08
0.5062771.5270883.586944e-08
0.5088731.5269073.582701e-08
0.5114831.5267273.578437e-08
0.5141061.5265493.574151e-08
0.5167431.5263733.569842e-08
0.5193931.5261993.565512e-08
0.5220561.5260263.561160e-08
0.5247341.5258563.556785e-08
0.5274251.5256873.552388e-08
0.530131.525523.547968e-08
0.5328491.5253543.543525e-08
0.5355811.5251913.539060e-08
0.5383281.5250283.534572e-08
0.5410891.5248683.530061e-08
0.5438641.5247093.525526e-08
0.5466531.5245523.520969e-08
0.5494571.5243963.516388e-08
0.551.5243663.515500e-08
0.5522751.5242423.508153e-08
0.5551071.5240893.499005e-08
0.5579541.5239383.489809e-08
0.5608151.5237883.480567e-08
0.5636911.523643.471277e-08
0.5665821.5234933.461939e-08
0.5694881.5233483.452554e-08
0.5724091.5232043.443120e-08
0.5753441.5230613.433638e-08
0.5782951.522923.424107e-08
0.5812611.522783.414528e-08
0.5842421.5226423.404899e-08
0.5872381.5225053.395221e-08
0.590251.5223693.385494e-08
0.5932771.5222343.375716e-08
0.5963191.5221013.365888e-08
0.5993781.5219693.356010e-08
0.61.5219423.354000e-08
0.6024521.5218383.393259e-08
0.6055411.5217083.442738e-08
0.6086471.521583.492469e-08
0.6117681.5214523.542456e-08
0.6149061.5213263.592700e-08
0.6180591.5212013.643201e-08
0.6212291.5210773.693961e-08
0.6244151.5209553.744981e-08
0.6276171.5208333.796263e-08
0.6308361.5207123.847808e-08
0.6340711.5205933.899617e-08
0.6373231.5204753.951692e-08
0.6405921.5203574.004034e-08
0.6438771.5202414.056645e-08
0.6471791.5201254.109525e-08
0.651.5200284.154700e-08
0.6504981.5200114.157884e-08
0.6538341.5198984.179208e-08
0.6571871.5197854.200642e-08
0.6605581.5196744.222185e-08
0.6639451.5195634.243840e-08
0.6673511.5194544.265605e-08
0.6707731.5193454.287481e-08
0.6742131.5192374.309470e-08
0.6776711.519134.331572e-08
0.6811461.5190244.353787e-08
0.684641.5189194.376116e-08
0.6881511.5188154.398560e-08
0.691681.5187114.421118e-08
0.6952271.5186084.443792e-08
0.6987931.5185074.466583e-08
0.71.5184724.474300e-08
0.7023761.5184054.489488e-08
0.7059791.5183054.512509e-08
0.7095991.5182064.535649e-08
0.7132381.5181074.558907e-08
0.7168961.5180094.582284e-08
0.7205731.5179124.605781e-08
0.7242681.5178154.629399e-08
0.7279831.5177194.653138e-08
0.7317161.5176244.676999e-08
0.7354691.517534.700982e-08
0.7392411.5174364.725088e-08
0.7430321.5173434.749317e-08
0.7468431.517254.773671e-08
0.7506731.5171594.798150e-08
0.7545231.5170684.822754e-08
0.7583921.5169774.847485e-08
0.7622821.5168874.872342e-08
0.7661911.5167984.897327e-08
0.770121.5167094.922440e-08
0.774071.5166214.947681e-08
0.778041.5165344.973053e-08
0.782031.5164474.998554e-08
0.7860411.516365.024186e-08
0.7900721.5162745.049950e-08
0.7941241.5161895.075845e-08
0.7981961.5161045.101874e-08
0.81.5160675.113400e-08
0.802291.516024.941226e-08
0.8064051.5159364.631877e-08
0.810541.5158534.320941e-08
0.8146971.515774.008411e-08
0.8188751.5156883.694279e-08
0.8230751.5156063.378535e-08
0.8272961.5155243.061172e-08
0.8315391.5154432.742181e-08
0.8358031.5153632.421554e-08
0.840091.5152832.099283e-08
0.8443981.5152031.775360e-08
0.8487291.5151241.449775e-08
0.851.5151011.354200e-08
0.8530821.5150451.359106e-08
0.8574571.5149661.366071e-08
0.8618541.5148881.373072e-08
0.8662741.514811.380108e-08
0.8707171.5147331.387181e-08
0.8751821.5146561.394290e-08
0.8796711.5145791.401436e-08
0.8841821.5145031.408618e-08
0.8887171.5144271.415837e-08
0.8932741.5143511.423093e-08
0.8978561.5142761.430386e-08
0.91.5142411.433800e-08
0.902461.5142011.437722e-08
0.9070881.5141261.445099e-08
0.9117411.5140521.452514e-08
0.9164161.5139781.459968e-08
0.9211161.5139041.467459e-08
0.925841.513831.474989e-08
0.9305881.5137571.482558e-08
0.9353611.5136831.490165e-08
0.9401581.5136111.497812e-08
0.944981.5135381.505497e-08
0.9498261.5134651.513222e-08
0.951.5134631.513500e-08
0.9546971.5133931.520978e-08
0.9595931.5133211.528772e-08
0.9645151.5132491.536607e-08
0.9694611.5131781.544482e-08
0.9744331.5131061.552397e-08
0.979431.5130351.560353e-08
0.9844531.5129641.568350e-08
0.9895021.5128931.576387e-08
0.9945771.5128221.584466e-08
0.9996781.5127511.592587e-08
11.5127471.593100e-08
1.00481.512681.600755e-08
1.009961.512611.608966e-08
1.015141.512541.617219e-08
1.020341.512471.625514e-08
1.025581.5123991.633851e-08
1.030841.5123291.642232e-08
1.036121.5122591.650655e-08
1.041441.512191.659122e-08
1.046781.512121.667632e-08
1.052151.512051.676185e-08
1.057541.511981.684783e-08
1.061.5119491.688700e-08
1.062971.5119111.693425e-08
1.068421.5118411.702113e-08
1.07391.5117721.710844e-08
1.07941.5117021.719621e-08
1.084941.5116331.728443e-08
1.09051.5115631.737309e-08
1.09611.5114941.746222e-08
1.101721.5114241.755180e-08
1.107371.5113541.764184e-08
1.113051.5112851.773234e-08
1.118761.5112151.782330e-08
1.124491.5111461.791474e-08
1.130261.5110761.800664e-08
1.136061.5110061.809901e-08
1.141881.5109371.819185e-08
1.147741.5108671.828518e-08
1.153621.5107971.837898e-08
1.159541.5107271.847326e-08
1.165491.5106571.856802e-08
1.171471.5105861.866328e-08
1.177471.5105161.875902e-08
1.183511.5104461.885525e-08
1.189581.5103751.895197e-08
1.195681.5103041.904919e-08
1.21.5102541.911800e-08
1.201811.5102331.934963e-08
1.207981.5101622.013655e-08
1.214171.5100912.092752e-08
1.22041.510022.172254e-08
1.226661.5099482.252164e-08
1.232951.5098772.332483e-08
1.239271.5098052.413215e-08
1.245631.5097332.494360e-08
1.252021.5096612.575922e-08
1.258441.5095882.657902e-08
1.264891.5095152.740302e-08
1.271381.5094432.823125e-08
1.27791.5093692.906373e-08
1.284451.5092962.990047e-08
1.291041.5092223.074151e-08
1.297661.5091483.158686e-08
1.304321.5090743.243655e-08
1.311011.5093.329059e-08
1.317731.5089253.414902e-08
1.324491.508853.501184e-08
1.331281.5087743.587910e-08
1.338111.5086993.675080e-08
1.344971.5086233.762697e-08
1.351871.5085463.850763e-08
1.35881.508473.939281e-08
1.365771.5083934.028253e-08
1.372771.5083154.117681e-08
1.379811.5082374.207568e-08
1.386891.5081594.297916e-08
1.3941.5080814.388727e-08
1.41.5080154.465300e-08
1.401151.5080024.483710e-08
1.408341.5079234.598579e-08
1.415561.5078434.714037e-08
1.422821.5077634.830088e-08
1.430121.5076824.946733e-08
1.437451.5076015.063977e-08
1.444821.507525.181822e-08
1.452231.5074385.300271e-08
1.459681.5073555.419328e-08
1.467171.5072725.538995e-08
1.474691.5071895.659276e-08
1.482251.5071055.780174e-08
1.489861.5070215.901692e-08
1.49751.5069366.023833e-08
1.505181.506856.146601e-08
1.51291.5067656.269998e-08
1.520651.5066786.394028e-08
1.528451.5065916.518694e-08
1.536291.5065036.644000e-08
1.544171.5064156.769948e-08
1.552091.5063266.896542e-08
1.560051.5062377.023785e-08
1.568051.5061477.151681e-08
1.576091.5060567.280233e-08
1.584181.5059657.409444e-08
1.59231.5058737.539318e-08
1.61.5057867.662400e-08
1.600471.5057817.732547e-08
1.608671.5056878.966729e-08
1.616921.5055941.020724e-07
1.625221.5054991.145411e-07
1.633551.5054041.270738e-07
1.641931.5053081.396708e-07
1.650351.5052111.523323e-07
1.658811.5051141.650588e-07
1.667321.5050161.778506e-07
1.675871.5049171.907080e-07
1.684471.5048172.036313e-07
1.693111.5047162.166209e-07
1.701791.5046152.296771e-07
1.710521.5045132.428002e-07
1.719291.504412.559907e-07
1.728111.5043072.692488e-07
1.736971.5042022.825749e-07
1.745881.5040972.959693e-07
1.754831.503993.094325e-07
1.763831.5038833.229647e-07
1.772881.5037753.365662e-07
1.781971.5036663.502376e-07
1.791111.5035563.639790e-07
1.81.5034493.773500e-07
1.800291.5034463.783153e-07
1.809531.5033344.087075e-07
1.818811.5032214.392556e-07
1.828131.5031074.699603e-07
1.837511.5029935.008224e-07
1.846931.5028775.318429e-07
1.856411.502765.630224e-07
1.865931.5026435.943619e-07
1.87551.5025246.258621e-07
1.885111.5024046.575238e-07
1.894781.5022836.893479e-07
1.90451.5021617.213352e-07
1.914271.5020387.534865e-07
1.924081.5019147.858028e-07
1.933951.5017888.182848e-07
1.943871.5016628.509333e-07
1.953841.5015348.837493e-07
1.963861.5014059.167336e-07
1.973931.5012759.498871e-07
1.984051.5011449.832106e-07
1.994231.5010111.016705e-06
21.5009361.035700e-06
2.004461.5008771.073281e-06
2.014741.5007421.159961e-06
2.025071.5006061.247085e-06
2.035461.5004681.334657e-06
2.045891.5003291.422677e-06
2.056391.5001891.511149e-06
2.066931.5000471.600075e-06
2.077531.4999041.689457e-06
2.088191.4997591.779297e-06
2.09891.4996131.869597e-06
2.109661.4994661.960361e-06
2.120481.4993172.051591e-06
2.131361.4991662.143288e-06
2.142291.4990152.235456e-06
2.153271.4988612.328096e-06
2.164321.4987062.421211e-06
2.175421.498552.514804e-06
2.186571.4983922.608877e-06
2.197791.4982322.703432e-06
2.21.49822.722100e-06
2.209061.4980712.775757e-06
2.220391.4979082.842871e-06
2.231771.4977432.910329e-06
2.243221.4975772.978133e-06
2.254721.4974093.046285e-06
2.266291.4972393.114787e-06
2.277911.4970683.183639e-06
2.289591.4968943.252845e-06
2.301331.4967193.322406e-06
2.313141.4965423.392324e-06
2.3251.4963633.462600e-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
—