Optical constants

Refractive index of E-BAF8 (HOYA)

E-BAF8: 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
1.62374
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.63652
Permittivity ε2
3.04007e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
47.051
Chromatic dispersion dn/dλ
-0.067865 µm⁻¹
Group index ng
1.66361
Group velocity dispersion
125.615 fs²/mm
Dispersion parameter D
-685.295 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

# E-BAF8 (HOYA): E-BAF8
hoya_e_baf8 = ls.fetch_refractiveindex("specs", "HOYA-optical", "E-BAF8", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_e_baf8.range_nm)  # (365.01, 1013.98) nm
eps = hoya_e_baf8.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=2.5801121−0.0079717945⁢λ2.0+0.019728054⁢λ−2.0+0.00013876076⁢λ−4.0+3.7632071×10-5⁢λ−6.0−7.4634717×10-7⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.5801121
C2-0.0079717945
C32.0
C40.019728054
C5-2.0
C60.00013876076
C7-4.0
C83.7632071e-05
C9-6.0
C10-7.4634717e-07
C11-8.0

Comments and conditions

Not in a position to accept new order because of discontinuation.

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 4.14929e-06 0.0 0.0 0.0 0.0 0.0
nd
1.62374
Vd
47.05
glass code
624471
glass status
special
density
value: 3320
thermal expansion
value: 8e-06, temperature range: 243 343; value: 9.5e-06, temperature range: 293 573
dPgF
-0.001
resistance
acid: 3.0; stain: 2.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.08e-06 K⁻¹ at 633 nm

References

Cite

HOYA Zemax catalog 2017-04-01 (obtained from http://www.hoya-opticalworld.com); Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 421 wavelengths, the same grid as the API and the library
E-BAF8 (HOYA), E-BAF8: n and k versus wavelength
λ (µm)nk
0.365011.6578551.054353e-06
0.3659461.6575439.867782e-07
0.3668841.6572329.190302e-07
0.3678251.6569248.511084e-07
0.3687681.6566187.830126e-07
0.3697131.6563147.147421e-07
0.371.6562226.940500e-07
0.3706611.6560126.730333e-07
0.3716121.6557126.428327e-07
0.3725651.6554156.125546e-07
0.373521.6551195.821989e-07
0.3744771.6548255.517653e-07
0.3754381.6545345.212537e-07
0.37641.6542444.906639e-07
0.3773651.6539564.599957e-07
0.3783331.653674.292488e-07
0.3793031.6533873.984231e-07
0.381.6531843.762700e-07
0.3802751.6531053.717433e-07
0.381251.6528253.557170e-07
0.3822281.6525473.396496e-07
0.3832081.6522713.235410e-07
0.384191.6519963.073911e-07
0.3851761.6517242.911998e-07
0.3861631.6514532.749670e-07
0.3871531.6511842.586925e-07
0.3881461.6509172.423764e-07
0.3891411.6506522.260184e-07
0.391.6504252.119000e-07
0.3901391.6503882.106705e-07
0.3911391.6501272.018098e-07
0.3921421.6498671.929264e-07
0.3931471.6496081.840202e-07
0.3941551.6493521.750912e-07
0.3951661.6490971.661393e-07
0.3961791.6488441.571644e-07
0.3971951.6485921.481665e-07
0.3982131.6483421.391456e-07
0.3992341.6480941.301015e-07
0.41.647911.233200e-07
0.4002581.6478481.224244e-07
0.4012841.6476031.188627e-07
0.4023131.6473591.152919e-07
0.4033451.6471181.117119e-07
0.4043791.6468771.081228e-07
0.4054161.6466391.045244e-07
0.4064551.6464021.009168e-07
0.4074971.6461669.729995e-08
0.4085421.6459329.367384e-08
0.409591.64579.003842e-08
0.410641.6454698.639369e-08
0.4116931.6452398.273961e-08
0.4127481.6450117.907616e-08
0.4138061.6447857.540332e-08
0.4148671.6445597.172106e-08
0.4159311.6443366.802936e-08
0.4169981.6441146.432819e-08
0.4180671.6438936.061754e-08
0.4191391.6436735.689737e-08
0.421.6434985.390800e-08
0.4202131.6434555.370836e-08
0.4212911.6432395.270001e-08
0.4223711.6430245.168907e-08
0.4234541.642815.067554e-08
0.424541.6425974.965941e-08
0.4256281.6423864.864068e-08
0.4267191.6421764.761934e-08
0.4278131.6419684.659537e-08
0.428911.641764.556879e-08
0.430011.6415544.453956e-08
0.4311131.641354.350771e-08
0.4322181.6411474.247320e-08
0.4333261.6409444.143604e-08
0.4344371.6407444.039623e-08
0.4355511.6405443.935374e-08
0.4366681.6403463.830859e-08
0.4377871.6401493.726075e-08
0.438911.6399533.621023e-08
0.441.6397643.519000e-08
0.4400351.6397583.517330e-08
0.4411631.6395653.463874e-08
0.4422951.6393733.410281e-08
0.4434291.6391813.356551e-08
0.4445661.6389923.302683e-08
0.4457051.6388033.248677e-08
0.4468481.6386153.194532e-08
0.4479941.6384293.140249e-08
0.4491431.6382443.085826e-08
0.4502941.6380593.031264e-08
0.4514491.6378762.976562e-08
0.4526061.6376942.921719e-08
0.4537671.6375142.866737e-08
0.454931.6373342.811613e-08
0.4560971.6371552.756347e-08
0.4572661.6369782.700940e-08
0.4584381.6368012.645391e-08
0.4596141.6366262.589700e-08
0.461.6365692.571400e-08
0.4607921.6364522.545384e-08
0.4619741.6362782.506585e-08
0.4631581.6361062.467687e-08
0.4643461.6359352.428689e-08
0.4655361.6357652.389590e-08
0.466731.6355952.350392e-08
0.4679271.6354272.311093e-08
0.4691261.635262.271693e-08
0.4703291.6350942.232192e-08
0.4715351.6349292.192590e-08
0.4727441.6347642.152887e-08
0.4739561.6346012.113081e-08
0.4751711.6344392.073174e-08
0.476391.6342782.033164e-08
0.4776111.6341171.993052e-08
0.4788361.6339581.952837e-08
0.481.6338071.914600e-08
0.4800631.6337991.913586e-08
0.4812941.6336421.893898e-08
0.4825281.6334851.874160e-08
0.4837651.6333291.854371e-08
0.4850061.6331741.834532e-08
0.4862491.6330211.814641e-08
0.4874961.6328681.794700e-08
0.4887461.6327151.774708e-08
0.4899991.6325641.754664e-08
0.4912551.6324141.734569e-08
0.4925151.6322641.714422e-08
0.4937781.6321161.694223e-08
0.4950441.6319681.673973e-08
0.4963131.6318211.653671e-08
0.4975861.6316751.633317e-08
0.4988611.631531.612911e-08
0.51.6314011.594700e-08
0.5001411.6313851.592681e-08
0.5014231.6312421.574254e-08
0.5027091.6310991.555780e-08
0.5039971.6309571.537259e-08
0.505291.6308161.518691e-08
0.5065851.6306751.500074e-08
0.5078841.6305361.481410e-08
0.5091861.6303971.462699e-08
0.5104921.6302591.443939e-08
0.5118011.6301221.425131e-08
0.5131131.6299851.406275e-08
0.5144291.629851.387370e-08
0.5157481.6297151.368417e-08
0.517071.6295811.349416e-08
0.5183961.6294471.330366e-08
0.5197251.6293151.311267e-08
0.5210571.6291831.292119e-08
0.5223931.6290521.272921e-08
0.5237331.6289211.253675e-08
0.5250761.6287911.234379e-08
0.5264221.6286621.215034e-08
0.5277721.6285341.195639e-08
0.5291251.6284071.176195e-08
0.5304811.628281.156701e-08
0.5318421.6281541.137156e-08
0.5332051.6280281.117562e-08
0.5345721.6279031.097917e-08
0.5359431.6277791.078222e-08
0.5373171.6276561.058476e-08
0.5386951.6275331.038680e-08
0.5400761.6274111.018833e-08
0.5414611.627299.989354e-09
0.5428491.6271699.789865e-09
0.5442411.6270499.589865e-09
0.5456361.6269299.389352e-09
0.5470351.6268119.188325e-09
0.5484381.6266938.986783e-09
0.5498441.6265758.784724e-09
0.551.6265628.762300e-09
0.5512541.6264588.782274e-09
0.5526671.6263428.804793e-09
0.5540841.6262268.827369e-09
0.5555051.6261118.850002e-09
0.5569291.6259978.872694e-09
0.5583571.6258838.895444e-09
0.5597891.625778.918253e-09
0.5612241.6256588.941120e-09
0.5626631.6255468.964045e-09
0.5641061.6254348.987030e-09
0.5655521.6253249.010073e-09
0.5670021.6252139.033175e-09
0.5684561.6251049.056337e-09
0.5699131.6249959.079558e-09
0.5713741.6248869.102838e-09
0.5728391.6247799.126178e-09
0.5743081.6246719.149578e-09
0.5757811.6245659.173038e-09
0.5772571.6244589.196558e-09
0.5787371.6243539.220139e-09
0.5802211.6242489.243780e-09
0.5817091.6241439.267481e-09
0.58321.6240399.291243e-09
0.5846951.6239369.315067e-09
0.5861951.6238339.338951e-09
0.5876971.6237319.362896e-09
0.5892041.6236299.386903e-09
0.5907151.6235289.410972e-09
0.592231.6234279.435102e-09
0.5937481.6233279.459294e-09
0.595271.6232279.483548e-09
0.5967971.6231289.507864e-09
0.5983271.6230299.532243e-09
0.5998611.6229319.556684e-09
0.61.6229229.558900e-09
0.6013991.6228339.726273e-09
0.6029411.6227369.910757e-09
0.6044871.6226391.009571e-08
0.6060371.6225431.028115e-08
0.6075911.6224471.046705e-08
0.6091481.6223521.065344e-08
0.610711.6222571.084030e-08
0.6122761.6221631.102764e-08
0.6138461.6220691.121546e-08
0.615421.6219761.140376e-08
0.6169981.6218831.159254e-08
0.618581.621791.178181e-08
0.6201661.6216981.197157e-08
0.6217561.6216071.216181e-08
0.623351.6215161.235254e-08
0.6249481.6214251.254376e-08
0.6265511.6213351.273546e-08
0.6281571.6212461.292766e-08
0.6297681.6211561.312036e-08
0.6313821.6210671.331354e-08
0.6330011.6209791.350722e-08
0.6346241.6208911.370140e-08
0.6362511.6208041.389608e-08
0.6378831.6207171.409125e-08
0.6395181.620631.428693e-08
0.6411581.6205441.448311e-08
0.6428021.6204581.467979e-08
0.644451.6203731.487697e-08
0.6461021.6202881.507466e-08
0.6477591.6202031.527286e-08
0.649421.6201191.547156e-08
0.651.620091.554100e-08
0.6510851.6200351.544578e-08
0.6527541.6199521.529925e-08
0.6544281.6198691.515233e-08
0.6561061.6197861.500505e-08
0.6577881.6197041.485738e-08
0.6594741.6196221.470933e-08
0.6611651.6195411.456091e-08
0.6628611.619461.441210e-08
0.664561.619381.426292e-08
0.6662641.6192991.411335e-08
0.6679721.6192191.396340e-08
0.6696851.619141.381306e-08
0.6714021.6190611.366234e-08
0.6731231.6189821.351123e-08
0.6748491.6189041.335973e-08
0.676581.6188261.320784e-08
0.6783141.6187481.305557e-08
0.6800531.6186711.290291e-08
0.6817971.6185941.274985e-08
0.6835451.6185181.259640e-08
0.6852981.6184411.244256e-08
0.6870551.6183661.228832e-08
0.6888161.618291.213369e-08
0.6905831.6182151.197866e-08
0.6923531.618141.182324e-08
0.6941281.6180661.166741e-08
0.6959081.6179921.151119e-08
0.6976921.6179181.135456e-08
0.6994811.6178441.119754e-08
0.71.6178231.115200e-08
0.7012751.6177711.101992e-08
0.7030731.6176991.083362e-08
0.7048751.6176261.064684e-08
0.7066831.6175541.045958e-08
0.7084951.6174821.027184e-08
0.7103111.6174111.008362e-08
0.7121321.617349.894918e-09
0.7139581.6172699.705730e-09
0.7157891.6171989.516058e-09
0.7176241.6171289.325900e-09
0.7194641.6170589.135254e-09
0.7213091.6169888.944119e-09
0.7231581.6169198.752494e-09
0.7250121.616858.560377e-09
0.7268711.6167828.367769e-09
0.7287351.6167138.174666e-09
0.7306031.6166457.981068e-09
0.7324771.6165777.786974e-09
0.7343551.616517.592382e-09
0.7362371.6164437.397291e-09
0.7381251.6163767.201700e-09
0.7400181.6163097.005608e-09
0.7419151.6162436.809012e-09
0.7438171.6161776.611913e-09
0.7457241.6161116.414308e-09
0.7476361.6160456.216197e-09
0.7495531.615986.017578e-09
0.751.6159655.971300e-09
0.7514751.6159155.983043e-09
0.7534021.615855.998380e-09
0.7553341.6157866.013756e-09
0.757271.6157226.029172e-09
0.7592121.6156586.044627e-09
0.7611591.6155946.060122e-09
0.763111.6155316.075656e-09
0.7650671.6154686.091231e-09
0.7670281.6154056.106845e-09
0.7689951.6153436.122500e-09
0.7709671.615286.138194e-09
0.7729431.6152186.153929e-09
0.7749251.6151566.169704e-09
0.7769121.6150956.185520e-09
0.7789041.6150336.201376e-09
0.781.6156.210100e-09
0.7809011.6149726.217277e-09
0.7829031.6149126.233225e-09
0.7849111.6148516.249213e-09
0.7869231.6147916.265243e-09
0.7889411.6147316.281313e-09
0.7909641.6146716.297425e-09
0.7929921.6146116.313578e-09
0.7950251.6145526.329772e-09
0.7970631.6144936.346008e-09
0.7991071.6144346.362286e-09
0.81.6144086.369400e-09
0.8011561.6143756.378600e-09
0.803211.6143166.394951e-09
0.8052691.6142586.411343e-09
0.8073341.61426.427778e-09
0.8094041.6141426.444255e-09
0.8114791.6140856.460775e-09
0.813561.6140276.477336e-09
0.8156461.613976.493940e-09
0.8177371.6139136.510587e-09
0.8198341.6138576.527276e-09
0.8219361.61386.544008e-09
0.8240431.6137446.560783e-09
0.8261561.6136886.577602e-09
0.8282741.6136326.594463e-09
0.831.6135876.608200e-09
0.8303981.6135766.611369e-09
0.8325271.6135216.628327e-09
0.8346621.6134656.645329e-09
0.8368021.613416.662375e-09
0.8389471.6133556.679464e-09
0.8410981.6133016.696597e-09
0.8432551.6132466.713774e-09
0.8454171.6131926.730995e-09
0.8475841.6131386.748260e-09
0.8497581.6130846.765569e-09
0.851.6130786.767500e-09
0.8519361.613036.782917e-09
0.8541211.6129776.800309e-09
0.8563111.6129236.817745e-09
0.8585061.612876.835226e-09
0.8607071.6128176.852752e-09
0.8629141.6127646.870323e-09
0.8651271.6127126.887939e-09
0.8673451.6126596.905599e-09
0.8695691.6126076.923306e-09
0.8717981.6125556.941057e-09
0.8740331.6125036.958855e-09
0.8762741.6124516.976697e-09
0.8785211.61246.994586e-09
0.8807741.6123487.012520e-09
0.8830321.6122977.030501e-09
0.8852961.6122467.048527e-09
0.8875661.6121957.066600e-09
0.8898421.6121457.084719e-09
0.8921231.6120947.102884e-09
0.8944111.6120447.121096e-09
0.8967041.6119937.139355e-09
0.8990031.6119437.157661e-09
0.91.6119227.165600e-09
0.9013081.6118937.176011e-09
0.9036191.6118437.194406e-09
0.9059361.6117947.212848e-09
0.9082581.6117447.231337e-09
0.9105871.6116957.249874e-09
0.9129221.6116467.268458e-09
0.9152631.6115977.287090e-09
0.9176091.6115487.305770e-09
0.9199621.6114997.324498e-09
0.9223211.6114517.343273e-09
0.9246861.6114027.362097e-09
0.9270561.6113547.380969e-09
0.9294331.6113067.399890e-09
0.9318161.6112587.418859e-09
0.9342061.611217.437876e-09
0.9366011.6111627.456943e-09
0.9390021.6111147.476058e-09
0.941411.6110677.495222e-09
0.9438241.611027.514436e-09
0.9462441.6109727.533698e-09
0.948671.6109257.553010e-09
0.951.61097.563600e-09
0.9511021.6108787.572374e-09
0.9535411.6108317.591790e-09
0.9559851.6107857.611256e-09
0.9584371.6107387.630772e-09
0.9608941.6106927.650338e-09
0.9633581.6106457.669954e-09
0.9658281.6105997.689620e-09
0.9683041.6105537.709337e-09
0.9707871.6105077.729104e-09
0.9732761.6104617.748922e-09
0.9757711.6104157.768791e-09
0.9782731.610377.788710e-09
0.9807811.6103247.808681e-09
0.9832961.6102797.828703e-09
0.9858171.6102337.848776e-09
0.9883451.6101887.868901e-09
0.9908791.6101437.889077e-09
0.9934191.6100987.909306e-09
0.9959671.6100537.929586e-09
0.998521.6100087.949918e-09
11.6099837.961700e-09
1.001081.6099648.151111e-09
1.003651.6099198.601126e-09
1.006221.6098759.052296e-09
1.00881.609839.504622e-09
1.011391.6097869.958109e-09
1.013981.6097421.041276e-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
—