Optical constants

Refractive index of H-BAK4 (CDGM)

H-BAK4: 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
1.55248
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.41019
Permittivity ε2
4.36204e-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
-0.0451934 µm⁻¹
Group index ng
1.57903
Group velocity dispersion
76.8783 fs²/mm
Dispersion parameter D
-419.412 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-BAK4 (CDGM): H-BAK4
cdgm_h_bak4 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-BAK4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_bak4.range_nm)  # (302, 2325) nm
eps = cdgm_h_bak4.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=0.559279457λ2λ2−0.0017275627+0.985286498λ2λ2−97.8673314+0.818059461λ2λ2−0.0135929957

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.559279457
C30.0017275627
C40.985286498
C597.8673314
C60.818059461
C70.0135929957

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 9.33e-07 2.01e-08 -2.04e-11 3.94e-07 2.14e-10 0.158
nd
1.552480
Vd
63.365490
glass code
552634
density
value: 2900
thermal expansion
value: 6.1e-06, temperature range: 243 343; value: 7.6e-06, temperature range: 293 573
dPgF
-0.0009
resistance
climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 8.97e-07 K⁻¹ at 633 nm, dn/dT = 5.18e-07 K⁻¹ at 1310 nm, dn/dT = 4.86e-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-BAK4 (CDGM), H-BAK4: n and k versus wavelength
λ (µm)nk
0.3021.5907531.900740e-06
0.3035491.5901771.751156e-06
0.3051061.5896091.600804e-06
0.306671.5890471.449682e-06
0.3082431.5884941.297784e-06
0.3098241.5879471.145108e-06
0.311.5878861.128100e-06
0.3114131.5874071.053981e-06
0.313011.5868749.701966e-07
0.3146151.5863488.859822e-07
0.3162291.5858298.013359e-07
0.317851.5853167.162555e-07
0.3194811.584816.307388e-07
0.321.5846516.034900e-07
0.3211191.584315.728560e-07
0.3227661.5838175.277731e-07
0.3244211.583334.824590e-07
0.3260851.5828494.369125e-07
0.3277571.5823733.911324e-07
0.3294381.5819043.451175e-07
0.331.5817493.297400e-07
0.3311281.5814413.146964e-07
0.3328261.5809832.920442e-07
0.3345331.5805312.692758e-07
0.3362491.5800852.463906e-07
0.3379731.5796442.233881e-07
0.3397061.5792092.002676e-07
0.341.5791361.963500e-07
0.3414481.5787791.835381e-07
0.34321.5783541.680494e-07
0.344961.5779341.524813e-07
0.3467291.577521.368333e-07
0.3485071.577111.211051e-07
0.351.5767721.079000e-07
0.3502941.5767051.066860e-07
0.3520911.5763069.927725e-08
0.3538971.5759119.183053e-08
0.3557121.5755218.434562e-08
0.3575361.5751357.682232e-08
0.3593691.5747546.926044e-08
0.361.5746256.666000e-08
0.3612121.5743786.433582e-08
0.3630651.5740066.078479e-08
0.3649271.5736395.721555e-08
0.3667981.5732765.362801e-08
0.368681.5729175.002207e-08
0.371.5726694.749100e-08
0.370571.5725624.703914e-08
0.3724711.5722124.553359e-08
0.3743811.5718664.402031e-08
0.3763011.5715244.249927e-08
0.3782311.5711854.097043e-08
0.381.570883.956900e-08
0.3801711.5708513.947952e-08
0.382121.5705213.845768e-08
0.384081.5701943.743059e-08
0.386051.5698713.639824e-08
0.388031.5695523.536060e-08
0.391.569243.432800e-08
0.390021.5692373.431702e-08
0.392021.5689253.320689e-08
0.394031.5686173.209108e-08
0.3960511.5683123.096954e-08
0.3980821.5680112.984225e-08
0.41.5677312.877800e-08
0.4001241.5677142.876602e-08
0.4021761.5674192.856779e-08
0.4042391.5671282.836855e-08
0.4063121.566842.816828e-08
0.4083961.5665562.796699e-08
0.410491.5662752.776467e-08
0.4125951.5659972.756130e-08
0.4147111.5657222.735690e-08
0.4168381.565452.715144e-08
0.4189761.5651812.694494e-08
0.421.5650532.684600e-08
0.4211251.5649152.691786e-08
0.4232841.5646522.705587e-08
0.4254551.5643922.719458e-08
0.4276371.5641352.733401e-08
0.429831.563882.747415e-08
0.4320351.5636292.761501e-08
0.434251.563382.775659e-08
0.4364771.5631342.789890e-08
0.4387161.5628912.804194e-08
0.441.5627532.812400e-08
0.4409661.562652.747441e-08
0.4432271.5624122.595332e-08
0.44551.5621762.442444e-08
0.4477851.5619432.288771e-08
0.4500821.5617132.134310e-08
0.452391.5614851.979057e-08
0.454711.5612591.823008e-08
0.4570421.5610361.666159e-08
0.4593861.5608161.508505e-08
0.461.5607581.467200e-08
0.4617421.5605971.472757e-08
0.464111.5603811.480311e-08
0.466491.5601671.487903e-08
0.4688831.5599561.495535e-08
0.4712871.5597471.503206e-08
0.4737041.559541.510916e-08
0.4761341.5593351.518666e-08
0.4785751.5591321.526456e-08
0.481.5590151.531000e-08
0.481031.5589311.534280e-08
0.4834971.5587331.542137e-08
0.4859761.5585361.550035e-08
0.4884691.5583421.557973e-08
0.4909741.558151.565952e-08
0.4934921.5579591.573971e-08
0.4960231.5577711.582032e-08
0.4985671.5575841.590135e-08
0.51.557481.594700e-08
0.5011231.5573991.588415e-08
0.5036931.5572171.574039e-08
0.5062771.5570361.559588e-08
0.5088731.5568561.545064e-08
0.5114831.5566791.530465e-08
0.5141061.5565041.515791e-08
0.5167431.556331.501042e-08
0.5193931.5561581.486217e-08
0.5220561.5559881.471316e-08
0.5247341.5558191.456339e-08
0.5274251.5556521.441285e-08
0.530131.5554871.426153e-08
0.5328491.5553231.410945e-08
0.5355811.5551611.395658e-08
0.5383281.5551.380292e-08
0.5410891.5548411.364848e-08
0.5438641.5546841.349325e-08
0.5466531.5545281.333722e-08
0.5494571.5543741.318039e-08
0.551.5543441.315000e-08
0.5522751.5542211.320436e-08
0.5551071.554071.327206e-08
0.5579541.553921.334010e-08
0.5608151.5537711.340848e-08
0.5636911.5536241.347722e-08
0.5665821.5534781.354632e-08
0.5694881.5533341.361576e-08
0.5724091.553191.368557e-08
0.5753441.5530491.375573e-08
0.5782951.5529081.382625e-08
0.5812611.5527691.389713e-08
0.5842421.5526311.396838e-08
0.5872381.5524951.403999e-08
0.590251.5523591.411197e-08
0.5932771.5522251.418432e-08
0.5963191.5520921.425703e-08
0.5993781.551961.433013e-08
0.61.5519341.434500e-08
0.6024521.551831.440364e-08
0.6055411.55171.447755e-08
0.6086471.5515721.455183e-08
0.6117681.5514451.462650e-08
0.6149061.5513191.470154e-08
0.6180591.5511941.477698e-08
0.6212291.551071.485280e-08
0.6244151.5509471.492901e-08
0.6276171.5508261.500561e-08
0.6308361.5507051.508260e-08
0.6340711.5505851.515998e-08
0.6373231.5504661.523777e-08
0.6405921.5503491.531595e-08
0.6438771.5502321.539454e-08
0.6471791.5501161.547352e-08
0.651.5500181.554100e-08
0.6504981.5500011.555291e-08
0.6538341.5498871.563264e-08
0.6571871.5497741.571278e-08
0.6605581.5496621.579333e-08
0.6639451.5495511.587430e-08
0.6673511.5494411.595568e-08
0.6707731.5493321.603748e-08
0.6742131.5492231.611969e-08
0.6776711.5491151.620233e-08
0.6811461.5490081.628540e-08
0.684641.5489021.636889e-08
0.6881511.5487971.645280e-08
0.691681.5486921.653715e-08
0.6952271.5485891.662193e-08
0.6987931.5484861.670715e-08
0.71.5484511.673600e-08
0.7023761.5483831.679282e-08
0.7059791.5482821.687895e-08
0.7095991.5481811.696552e-08
0.7132381.5480811.705253e-08
0.7168961.5479821.713999e-08
0.7205731.5478831.722790e-08
0.7242681.5477851.731626e-08
0.7279831.5476881.740507e-08
0.7317161.5475911.749434e-08
0.7354691.5474961.758406e-08
0.7392411.54741.767425e-08
0.7430321.5473051.776489e-08
0.7468431.5472111.785601e-08
0.7506731.5471181.794759e-08
0.7545231.5470251.803964e-08
0.7583921.5469331.813216e-08
0.7622821.5468411.822515e-08
0.7661911.546751.831863e-08
0.770121.5466591.841258e-08
0.774071.5465691.850701e-08
0.778041.5464791.860193e-08
0.782031.546391.869734e-08
0.7860411.5463021.879323e-08
0.7900721.5462141.888962e-08
0.7941241.5461261.898650e-08
0.7981961.5460391.908388e-08
0.81.5460011.912700e-08
0.802291.5459531.887120e-08
0.8064051.5458661.841161e-08
0.810541.5457811.794965e-08
0.8146971.5456951.748533e-08
0.8188751.5456111.701863e-08
0.8230751.5455261.654953e-08
0.8272961.5454421.607803e-08
0.8315391.5453591.560411e-08
0.8358031.5452751.512776e-08
0.840091.5451931.464896e-08
0.8443981.545111.416771e-08
0.8487291.5450281.368399e-08
0.851.5450041.354200e-08
0.8530821.5449461.359106e-08
0.8574571.5448651.366071e-08
0.8618541.5447841.373072e-08
0.8662741.5447031.380108e-08
0.8707171.5446231.387181e-08
0.8751821.5445421.394290e-08
0.8796711.5444631.401436e-08
0.8841821.5443831.408618e-08
0.8887171.5443041.415837e-08
0.8932741.5442251.423093e-08
0.8978561.5441461.430386e-08
0.91.5441091.433800e-08
0.902461.5440681.437722e-08
0.9070881.5439891.445099e-08
0.9117411.5439111.452514e-08
0.9164161.5438341.459968e-08
0.9211161.5437561.467459e-08
0.925841.5436791.474989e-08
0.9305881.5436021.482558e-08
0.9353611.5435251.490165e-08
0.9401581.5434481.497812e-08
0.944981.5433711.505497e-08
0.9498261.5432951.513222e-08
0.951.5432921.513500e-08
0.9546971.5432191.520978e-08
0.9595931.5431421.528772e-08
0.9645151.5430661.536607e-08
0.9694611.5429911.544482e-08
0.9744331.5429151.552397e-08
0.979431.5428391.560353e-08
0.9844531.5427641.568350e-08
0.9895021.5426881.576387e-08
0.9945771.5426131.584466e-08
0.9996781.5425381.592587e-08
11.5425331.593100e-08
1.00481.5424631.600755e-08
1.009961.5423881.608966e-08
1.015141.5423131.617219e-08
1.020341.5422381.625514e-08
1.025581.5421631.633851e-08
1.030841.5420881.642232e-08
1.036121.5420131.650655e-08
1.041441.5419381.659122e-08
1.046781.5418631.667632e-08
1.052151.5417881.676185e-08
1.057541.5417131.684783e-08
1.061.5416791.688700e-08
1.062971.5416381.693425e-08
1.068421.5415631.702113e-08
1.07391.5414881.710844e-08
1.07941.5414131.719621e-08
1.084941.5413381.728443e-08
1.09051.5412631.737309e-08
1.09611.5411881.746222e-08
1.101721.5411131.755180e-08
1.107371.5410371.764184e-08
1.113051.5409621.773234e-08
1.118761.5408861.782330e-08
1.124491.540811.791474e-08
1.130261.5407351.800664e-08
1.136061.5406591.809901e-08
1.141881.5405831.819185e-08
1.147741.5405061.828518e-08
1.153621.540431.837898e-08
1.159541.5403531.847326e-08
1.165491.5402771.856802e-08
1.171471.54021.866328e-08
1.177471.5401231.875902e-08
1.183511.5400451.885525e-08
1.189581.5399681.895197e-08
1.195681.539891.904919e-08
1.21.5398351.911800e-08
1.201811.5398122.119264e-08
1.207981.5397342.824100e-08
1.214171.5396563.532550e-08
1.22041.5395774.244634e-08
1.226661.5394984.960370e-08
1.232951.5394195.679776e-08
1.239271.5393396.402872e-08
1.245631.539267.129676e-08
1.252021.539187.860208e-08
1.258441.5390998.594487e-08
1.264891.5390189.332531e-08
1.271381.5389371.007436e-07
1.27791.5388561.081999e-07
1.284451.5387741.156945e-07
1.291041.5386921.232275e-07
1.297661.538611.307992e-07
1.304321.5385271.384096e-07
1.311011.5384441.460592e-07
1.317731.5383611.537479e-07
1.324491.5382771.614761e-07
1.331281.5381921.692439e-07
1.338111.5381081.770515e-07
1.344971.5380221.848992e-07
1.351871.5379371.927871e-07
1.35881.5378512.007155e-07
1.365771.5377642.086845e-07
1.372771.5376772.166945e-07
1.379811.537592.247454e-07
1.386891.5375022.328377e-07
1.3941.5374132.409715e-07
1.41.5373382.478300e-07
1.401151.5373242.469918e-07
1.408341.5372352.417620e-07
1.415561.5371452.365053e-07
1.422821.5370542.312217e-07
1.430121.5369632.259110e-07
1.437451.5368712.205730e-07
1.444821.5367792.152077e-07
1.452231.5366862.098148e-07
1.459681.5365932.043943e-07
1.467171.5364991.989460e-07
1.474691.5364041.934697e-07
1.482251.5363091.879654e-07
1.489861.5362131.824328e-07
1.49751.5361161.768719e-07
1.505181.5360191.712825e-07
1.51291.5359211.656643e-07
1.520651.5358231.600174e-07
1.528451.5357231.543415e-07
1.536291.5356231.486365e-07
1.544171.5355231.429022e-07
1.552091.5354211.371386e-07
1.560051.5353191.313453e-07
1.568051.5352161.255224e-07
1.576091.5351121.196696e-07
1.584181.5350081.137868e-07
1.59231.5349021.078738e-07
1.61.5348021.022700e-07
1.600471.5347961.026724e-07
1.608671.5346891.097518e-07
1.616921.5345821.168675e-07
1.625221.5344731.240197e-07
1.633551.5343641.312086e-07
1.641931.5342531.384344e-07
1.650351.5341421.456972e-07
1.658811.534031.529973e-07
1.667321.5339171.603348e-07
1.675871.5338031.677099e-07
1.684471.5336881.751229e-07
1.693111.5335721.825739e-07
1.701791.5334551.900630e-07
1.710521.5333371.975906e-07
1.719291.5332192.051568e-07
1.728111.5330992.127619e-07
1.736971.5329782.204059e-07
1.745881.5328562.280891e-07
1.754831.5327332.358117e-07
1.763831.5326092.435739e-07
1.772881.5324842.513759e-07
1.781971.5323582.592180e-07
1.791111.532232.671003e-07
1.81.5321062.747700e-07
1.800291.5321022.752712e-07
1.809531.5319722.910506e-07
1.818811.5318413.069109e-07
1.828131.5317093.228525e-07
1.837511.5315763.388759e-07
1.846931.5314413.549815e-07
1.856411.5313063.711696e-07
1.865931.5311693.874408e-07
1.87551.5310314.037955e-07
1.885111.5308914.202340e-07
1.894781.530754.367568e-07
1.90451.5306084.533643e-07
1.914271.5304654.700571e-07
1.924081.530324.868354e-07
1.933951.5301735.036998e-07
1.943871.5300265.206506e-07
1.953841.5298775.376884e-07
1.963861.5297265.548136e-07
1.973931.5295745.720266e-07
1.984051.5294215.893279e-07
1.994231.5292666.067179e-07
21.5291776.165800e-07
2.004461.5291096.576199e-07
2.014741.5289517.522782e-07
2.025071.5287918.474219e-07
2.035461.528639.430535e-07
2.045891.5284671.039176e-06
2.056391.5283031.135791e-06
2.066931.5281371.232901e-06
2.077531.5279691.330510e-06
2.088191.52781.428619e-06
2.09891.5276281.527231e-06
2.109661.5274551.626349e-06
2.120481.5272811.725976e-06
2.131361.5271041.826113e-06
2.142291.5269261.926764e-06
2.153271.5267462.027931e-06
2.164321.5265642.129617e-06
2.175421.526382.231824e-06
2.186571.5261942.334556e-06
2.197791.5260062.437814e-06
2.21.5259692.458200e-06
2.209061.5258162.533413e-06
2.220391.5256242.627491e-06
2.231771.525432.722051e-06
2.243221.5252352.817096e-06
2.254721.5250372.912628e-06
2.266291.5248373.008651e-06
2.277911.5246343.105166e-06
2.289591.524433.202175e-06
2.301331.5242233.299683e-06
2.313141.5240143.397690e-06
2.3251.5238033.496200e-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
—