Optical constants

Refractive index of H-BAK2 (CDGM)

H-BAK2: 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
1.53996
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.37147
Permittivity ε2
4.32686e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
59.724
Chromatic dispersion dn/dλ
-0.0466784 µm⁻¹
Group index ng
1.56739
Group velocity dispersion
81.8559 fs²/mm
Dispersion parameter D
-446.568 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-BAK2 (CDGM): H-BAK2
cdgm_h_bak2 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-BAK2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_bak2.range_nm)  # (302, 2325) nm
eps = cdgm_h_bak2.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=0.618389223λ2λ2−0.00174653825+0.718400306λ2λ2−0.0158112967+1.07451466λ2λ2−126.584788

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.618389223
C30.00174653825
C40.718400306
C50.0158112967
C61.07451466
C7126.584788

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.36e-06 2.63e-08 -8.17e-11 4.48e-07 -8.32e-10 0.226
nd
1.539960
Vd
59.724182
glass code
540597
density
value: 2840
thermal expansion
value: 8e-06, temperature range: 243 343; value: 9.4e-06, temperature range: 293 573
dPgF
0.0004

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -3.49e-08 K⁻¹ at 633 nm, dn/dT = -4.75e-07 K⁻¹ at 1310 nm, dn/dT = -5.07e-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-BAK2 (CDGM), H-BAK2: n and k versus wavelength
λ (µm)nk
0.3021.5807441.568424e-06
0.3035491.5801161.418363e-06
0.3051061.5794971.267532e-06
0.306671.5788861.115927e-06
0.3082431.5782839.635456e-07
0.3098241.5776898.103822e-07
0.311.5776237.933200e-07
0.3114131.5771027.313404e-07
0.313011.5765246.612778e-07
0.3146151.5759535.908560e-07
0.3162291.575395.200730e-07
0.317851.5748344.489269e-07
0.3194811.5742863.774160e-07
0.321.5741133.546300e-07
0.3211191.5737443.325041e-07
0.3227661.573212.999423e-07
0.3244211.5726832.672135e-07
0.3260851.5721632.343169e-07
0.3277571.571652.012516e-07
0.3294381.5711431.680166e-07
0.331.5709761.569100e-07
0.3311281.5706431.485081e-07
0.3328261.5701491.358567e-07
0.3345331.5696621.231404e-07
0.3362491.5691811.103589e-07
0.3379731.5687069.751192e-08
0.3397061.5682388.459901e-08
0.341.5681598.241100e-08
0.3414481.5677757.739125e-08
0.34321.5673187.132273e-08
0.344961.5668676.522309e-08
0.3467291.5664215.909216e-08
0.3485071.5659815.292980e-08
0.351.5656184.775600e-08
0.3502941.5655474.728296e-08
0.3520911.5651184.439618e-08
0.3538971.5646954.149460e-08
0.3557121.5642763.857813e-08
0.3575361.5638633.564671e-08
0.3593691.5634563.270025e-08
0.361.5633173.168700e-08
0.3612121.5630533.071254e-08
0.3630651.5626552.922370e-08
0.3649271.5622622.772722e-08
0.3667981.5618742.622307e-08
0.368681.561492.471120e-08
0.371.5612252.365000e-08
0.370571.5611112.351265e-08
0.3724711.5607372.305502e-08
0.3743811.5603682.259504e-08
0.3763011.5600032.213270e-08
0.3782311.5596422.166798e-08
0.381.5593172.124200e-08
0.3801711.5592852.130493e-08
0.382121.5589332.202359e-08
0.384081.5585852.274594e-08
0.386051.5582422.347200e-08
0.388031.5579022.420177e-08
0.391.557572.492800e-08
0.390021.5575672.492292e-08
0.392021.5572352.440926e-08
0.394031.5569072.389297e-08
0.3960511.5565842.337403e-08
0.3980821.5562642.285243e-08
0.41.5559672.236000e-08
0.4001241.5559482.234607e-08
0.4021761.5556352.211563e-08
0.4042391.5553262.188400e-08
0.4063121.5550212.165119e-08
0.4083961.5547192.141718e-08
0.410491.5544212.118197e-08
0.4125951.5541262.094556e-08
0.4147111.5538352.070793e-08
0.4168381.5535472.046909e-08
0.4189761.5532632.022902e-08
0.421.5531282.011400e-08
0.4211251.5529812.016787e-08
0.4232841.5527032.027132e-08
0.4254551.5524282.037530e-08
0.4276371.5521562.047982e-08
0.429831.5518882.058487e-08
0.4320351.5516222.069046e-08
0.434251.5513592.079659e-08
0.4364771.55112.090327e-08
0.4387161.5508432.101049e-08
0.441.5506972.107200e-08
0.4409661.5505892.058553e-08
0.4432271.5503381.944641e-08
0.44551.550091.830145e-08
0.4477851.5498441.715062e-08
0.4500821.5496021.599389e-08
0.452391.5493621.483122e-08
0.454711.5491241.366259e-08
0.4570421.5488891.248797e-08
0.4593861.5486571.130733e-08
0.461.5485971.099800e-08
0.4617421.5484281.103963e-08
0.464111.5482011.109623e-08
0.466491.5479761.115311e-08
0.4688831.5477541.121029e-08
0.4712871.5475341.126776e-08
0.4737041.5473171.132553e-08
0.4761341.5471021.138359e-08
0.4785751.5468891.144195e-08
0.481.5467671.147600e-08
0.481031.5466791.150066e-08
0.4834971.5464711.155975e-08
0.4859761.5462651.161913e-08
0.4884691.5460611.167883e-08
0.4909741.545861.173882e-08
0.4934921.545661.179913e-08
0.4960231.5454631.185974e-08
0.4985671.5452681.192067e-08
0.51.5451591.195500e-08
0.5011231.5450751.198185e-08
0.5036931.5448841.204327e-08
0.5062771.5446951.210501e-08
0.5088731.5445071.216707e-08
0.5114831.5443221.222944e-08
0.5141061.5441391.229213e-08
0.5167431.5439581.235515e-08
0.5193931.5437781.241849e-08
0.5220561.5436011.248215e-08
0.5247341.5434251.254614e-08
0.5274251.5432511.261046e-08
0.530131.5430791.267510e-08
0.5328491.5429091.274008e-08
0.5355811.542741.280540e-08
0.5383281.5425731.287104e-08
0.5410891.5424081.293703e-08
0.5438641.5422441.300335e-08
0.5466531.5420821.307001e-08
0.5494571.5419221.313701e-08
0.551.5418911.315000e-08
0.5522751.5417631.320436e-08
0.5551071.5416061.327206e-08
0.5579541.541451.334010e-08
0.5608151.5412961.340848e-08
0.5636911.5411441.347722e-08
0.5665821.5409921.354632e-08
0.5694881.5408431.361576e-08
0.5724091.5406951.368557e-08
0.5753441.5405481.375573e-08
0.5782951.5404031.382625e-08
0.5812611.5402591.389713e-08
0.5842421.5401161.396838e-08
0.5872381.5399751.403999e-08
0.590251.5398351.411197e-08
0.5932771.5396971.418432e-08
0.5963191.539561.425703e-08
0.5993781.5394241.433013e-08
0.61.5393961.434500e-08
0.6024521.5392891.440364e-08
0.6055411.5391561.447755e-08
0.6086471.5390241.455183e-08
0.6117681.5388931.462650e-08
0.6149061.5387631.470154e-08
0.6180591.5386351.477698e-08
0.6212291.5385071.485280e-08
0.6244151.5383811.492901e-08
0.6276171.5382561.500561e-08
0.6308361.5381321.508260e-08
0.6340711.5380091.515998e-08
0.6373231.5378881.523777e-08
0.6405921.5377671.531595e-08
0.6438771.5376481.539454e-08
0.6471791.5375291.547352e-08
0.651.5374291.554100e-08
0.6504981.5374121.555291e-08
0.6538341.5372951.563264e-08
0.6571871.537181.571278e-08
0.6605581.5370651.579333e-08
0.6639451.5369521.587430e-08
0.6673511.5368391.595568e-08
0.6707731.5367271.603748e-08
0.6742131.5366171.611969e-08
0.6776711.5365071.620233e-08
0.6811461.5363981.628540e-08
0.684641.536291.636889e-08
0.6881511.5361831.645280e-08
0.691681.5360771.653715e-08
0.6952271.5359721.662193e-08
0.6987931.5358671.670715e-08
0.71.5358321.673600e-08
0.7023761.5357641.679282e-08
0.7059791.5356611.687895e-08
0.7095991.5355591.696552e-08
0.7132381.5354571.705253e-08
0.7168961.5353571.713999e-08
0.7205731.5352571.722790e-08
0.7242681.5351581.731626e-08
0.7279831.535061.740507e-08
0.7317161.5349631.749434e-08
0.7354691.5348661.758406e-08
0.7392411.534771.767425e-08
0.7430321.5346741.776489e-08
0.7468431.534581.785601e-08
0.7506731.5344861.794759e-08
0.7545231.5343921.803964e-08
0.7583921.53431.813216e-08
0.7622821.5342081.822515e-08
0.7661911.5341161.831863e-08
0.770121.5340261.841258e-08
0.774071.5339351.850701e-08
0.778041.5338461.860193e-08
0.782031.5337571.869734e-08
0.7860411.5336691.879323e-08
0.7900721.5335811.888962e-08
0.7941241.5334931.898650e-08
0.7981961.5334071.908388e-08
0.81.5333691.912700e-08
0.802291.533321.887120e-08
0.8064051.5332351.841161e-08
0.810541.533151.794965e-08
0.8146971.5330651.748533e-08
0.8188751.5329811.701863e-08
0.8230751.5328971.654953e-08
0.8272961.5328141.607803e-08
0.8315391.5327311.560411e-08
0.8358031.5326491.512776e-08
0.840091.5325671.464896e-08
0.8443981.5324861.416771e-08
0.8487291.5324051.368399e-08
0.851.5323821.354200e-08
0.8530821.5323251.359106e-08
0.8574571.5322451.366071e-08
0.8618541.5321651.373072e-08
0.8662741.5320861.380108e-08
0.8707171.5320071.387181e-08
0.8751821.5319281.394290e-08
0.8796711.531851.401436e-08
0.8841821.5317721.408618e-08
0.8887171.5316951.415837e-08
0.8932741.5316181.423093e-08
0.8978561.5315411.430386e-08
0.91.5315051.433800e-08
0.902461.5314641.437722e-08
0.9070881.5313881.445099e-08
0.9117411.5313131.452514e-08
0.9164161.5312371.459968e-08
0.9211161.5311621.467459e-08
0.925841.5310871.474989e-08
0.9305881.5310121.482558e-08
0.9353611.5309381.490165e-08
0.9401581.5308641.497812e-08
0.944981.530791.505497e-08
0.9498261.5307161.513222e-08
0.951.5307131.513500e-08
0.9546971.5306421.520978e-08
0.9595931.5305691.528772e-08
0.9645151.5304961.536607e-08
0.9694611.5304231.544482e-08
0.9744331.5303511.552397e-08
0.979431.5302781.560353e-08
0.9844531.5302061.568350e-08
0.9895021.5301341.576387e-08
0.9945771.5300621.584466e-08
0.9996781.529991.592587e-08
11.5299861.593100e-08
1.00481.5299191.600755e-08
1.009961.5298471.608966e-08
1.015141.5297761.617219e-08
1.020341.5297051.625514e-08
1.025581.5296341.633851e-08
1.030841.5295631.642232e-08
1.036121.5294921.650655e-08
1.041441.5294211.659122e-08
1.046781.529351.667632e-08
1.052151.529281.676185e-08
1.057541.5292091.684783e-08
1.061.5291771.688700e-08
1.062971.5291391.693425e-08
1.068421.5290681.702113e-08
1.07391.5289981.710844e-08
1.07941.5289271.719621e-08
1.084941.5288571.728443e-08
1.09051.5287871.737309e-08
1.09611.5287171.746222e-08
1.101721.5286461.755180e-08
1.107371.5285761.764184e-08
1.113051.5285061.773234e-08
1.118761.5284351.782330e-08
1.124491.5283651.791474e-08
1.130261.5282951.800664e-08
1.136061.5282241.809901e-08
1.141881.5281541.819185e-08
1.147741.5280831.828518e-08
1.153621.5280131.837898e-08
1.159541.5279421.847326e-08
1.165491.5278711.856802e-08
1.171471.52781.866328e-08
1.177471.527731.875902e-08
1.183511.5276591.885525e-08
1.189581.5275871.895197e-08
1.195681.5275161.904919e-08
1.21.5274661.911800e-08
1.201811.5274451.975630e-08
1.207981.5273732.192484e-08
1.214171.5273022.410450e-08
1.22041.527232.629535e-08
1.226661.5271582.849743e-08
1.232951.5270863.071080e-08
1.239271.5270133.293552e-08
1.245631.5269413.517165e-08
1.252021.5268683.741925e-08
1.258441.5267953.967838e-08
1.264891.5267224.194910e-08
1.271381.5266494.423145e-08
1.27791.5265754.652552e-08
1.284451.5265024.883135e-08
1.291041.5264285.114900e-08
1.297661.5263535.347854e-08
1.304321.5262795.582003e-08
1.311011.5262045.817353e-08
1.317731.5261296.053909e-08
1.324491.5260546.291679e-08
1.331281.5259786.530668e-08
1.338111.5259026.770883e-08
1.344971.5258267.012330e-08
1.351871.5257497.255015e-08
1.35881.5256727.498945e-08
1.365771.5255957.744126e-08
1.372771.5255177.990564e-08
1.379811.5254398.238266e-08
1.386891.5253618.487238e-08
1.3941.5252828.737487e-08
1.41.5252168.948500e-08
1.401151.5252038.941094e-08
1.408341.5251248.894886e-08
1.415561.5250448.848440e-08
1.422821.5249648.801757e-08
1.430121.5248838.754834e-08
1.437451.5248028.707670e-08
1.444821.5247218.660264e-08
1.452231.5246398.612616e-08
1.459681.5245568.564722e-08
1.467171.5244738.516584e-08
1.474691.524398.468198e-08
1.482251.5243068.419565e-08
1.489861.5242228.370681e-08
1.49751.5241378.321548e-08
1.505181.5240528.272162e-08
1.51291.5239668.222523e-08
1.520651.523888.172629e-08
1.528451.5237938.122479e-08
1.536291.5237058.072073e-08
1.544171.5236178.021407e-08
1.552091.5235297.970482e-08
1.560051.5234397.919296e-08
1.568051.523357.867847e-08
1.576091.5232597.816135e-08
1.584181.5231687.764157e-08
1.59231.5230777.711912e-08
1.61.522997.662400e-08
1.600471.5229847.718853e-08
1.608671.5228918.712088e-08
1.616921.5227989.710418e-08
1.625221.5227041.071387e-07
1.633551.5226091.172246e-07
1.641931.5225131.273623e-07
1.650351.5224171.375520e-07
1.658811.522321.477939e-07
1.667321.5222221.580884e-07
1.675871.5221241.684356e-07
1.684471.5220241.788360e-07
1.693111.5219241.892896e-07
1.701791.5218241.997969e-07
1.710521.5217222.103580e-07
1.719291.521622.209734e-07
1.728111.5215172.316431e-07
1.736971.5214132.423676e-07
1.745881.5213082.531471e-07
1.754831.5212022.639818e-07
1.763831.5210962.748722e-07
1.772881.5209892.858183e-07
1.781971.520882.968207e-07
1.791111.5207713.078794e-07
1.81.5206653.186400e-07
1.800291.5206613.192473e-07
1.809531.520553.383671e-07
1.818811.5204383.575850e-07
1.828131.5203253.769014e-07
1.837511.5202123.963169e-07
1.846931.5200974.158320e-07
1.856411.5199814.354471e-07
1.865931.5198644.551628e-07
1.87551.5197464.749797e-07
1.885111.5196284.948982e-07
1.894781.5195085.149188e-07
1.90451.5193875.350421e-07
1.914271.5192655.552686e-07
1.924081.5191415.755989e-07
1.933951.5190175.960334e-07
1.943871.5188926.165727e-07
1.953841.5187656.372174e-07
1.963861.5186386.579679e-07
1.973931.5185096.788248e-07
1.984051.5183796.997887e-07
1.994231.5182477.208602e-07
21.5181737.328100e-07
2.004461.5181157.580182e-07
2.014741.5179818.161608e-07
2.025071.5178468.746015e-07
2.035461.517719.333419e-07
2.045891.5175739.923836e-07
2.056391.5174341.051728e-06
2.066931.5172941.111377e-06
2.077531.5171521.171332e-06
2.088191.5170091.231594e-06
2.09891.5168651.292165e-06
2.109661.5167191.353047e-06
2.120481.5165721.414241e-06
2.131361.5164241.475749e-06
2.142291.5162741.537573e-06
2.153271.5161221.599713e-06
2.164321.5159691.662172e-06
2.175421.5158151.724952e-06
2.186571.5156591.788053e-06
2.197791.5155011.851478e-06
2.21.515471.864000e-06
2.209061.5153421.908024e-06
2.220391.5151811.963089e-06
2.231771.5150192.018437e-06
2.243221.5148552.074069e-06
2.254721.5146892.129986e-06
2.266291.5145222.186190e-06
2.277911.5143532.242682e-06
2.289591.5141822.299464e-06
2.301331.514012.356537e-06
2.313141.5138352.413903e-06
2.3251.5136592.471563e-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
—