Optical constants

Refractive index of E-FD7 (HOYA)

E-FD7: 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
1.6398
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.68893
Permittivity ε2
4.25051e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
34.571
Chromatic dispersion dn/dλ
-0.0935592 µm⁻¹
Group index ng
1.69477
Group velocity dispersion
184.225 fs²/mm
Dispersion parameter D
-1005.05 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-FD7 (HOYA): E-FD7
hoya_e_fd7 = ls.fetch_refractiveindex("specs", "HOYA-optical", "E-FD7", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_e_fd7.range_nm)  # (365.01, 1013.98) nm
eps = hoya_e_fd7.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=2.6165865−0.011427854⁢λ2.0+0.022534361⁢λ−2.0+0.001551289⁢λ−4.0−0.00011769852⁢λ−6.0+1.2401891×10-5⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.6165865
C2-0.011427854
C32.0
C40.022534361
C5-2.0
C60.001551289
C7-4.0
C8-0.00011769852
C9-6.0
C101.2401891e-05
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: 3.8611e-07 0.0 0.0 0.0 0.0 0.0
nd
1.63980
Vd
34.57
glass code
640346
glass status
special
density
value: 2750
thermal expansion
value: 8.7e-06, temperature range: 243 343; value: 1.07e-05, temperature range: 293 573
dPgF
0.0055
resistance
acid: 1.0; stain: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.98e-07 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-FD7 (HOYA), E-FD7: n and k versus wavelength
λ (µm)nk
0.365011.6915044.844468e-06
0.3659461.6909714.411009e-06
0.3668841.6904443.976438e-06
0.3678251.6899213.540754e-06
0.3687681.6894043.103952e-06
0.3697131.6888912.666030e-06
0.371.6887372.533300e-06
0.3706611.6883842.429796e-06
0.3716121.6878812.281062e-06
0.3725651.6873832.131947e-06
0.373521.686891.982450e-06
0.3744771.6864011.832569e-06
0.3754381.6859171.682304e-06
0.37641.6854381.531653e-06
0.3773651.6849621.380617e-06
0.3783331.6844921.229193e-06
0.3793031.6840251.077381e-06
0.381.6836939.682800e-07
0.3802751.6835639.533203e-07
0.381251.6831059.003575e-07
0.3822281.6826518.472590e-07
0.3832081.6822017.940243e-07
0.384191.6817557.406531e-07
0.3851761.6813146.871451e-07
0.3861631.6808766.334999e-07
0.3871531.6804425.797172e-07
0.3881461.6800115.257965e-07
0.3891411.6795854.717376e-07
0.391.6792214.250800e-07
0.3901391.6791624.222438e-07
0.3911391.6787434.018046e-07
0.3921421.6783283.813130e-07
0.3931471.6779163.607689e-07
0.3941551.6775073.401720e-07
0.3951661.6771033.195224e-07
0.3961791.6767012.988199e-07
0.3971951.6763032.780642e-07
0.3982131.6759082.572553e-07
0.3992341.6755172.363931e-07
0.41.6752262.207500e-07
0.4002581.6751292.190822e-07
0.4012841.6747442.124490e-07
0.4023131.6743632.057989e-07
0.4033451.6739841.991318e-07
0.4043791.6736091.924475e-07
0.4054161.6732361.857461e-07
0.4064551.6728671.790275e-07
0.4074971.6725011.722917e-07
0.4085421.6721381.655387e-07
0.409591.6717771.587683e-07
0.410641.671421.519805e-07
0.4116931.6710651.451754e-07
0.4127481.6707131.383528e-07
0.4138061.6703641.315127e-07
0.4148671.6700181.246550e-07
0.4159311.6696751.177798e-07
0.4169981.6693341.108870e-07
0.4180671.6689961.039765e-07
0.4191391.668669.704823e-08
0.421.6683939.148100e-08
0.4202131.6683279.118361e-08
0.4212911.6679978.968159e-08
0.4223711.6676698.817572e-08
0.4234541.6673448.666599e-08
0.424541.6670218.515238e-08
0.4256281.6667018.363490e-08
0.4267191.6663838.211352e-08
0.4278131.6660688.058824e-08
0.428911.6657557.905905e-08
0.430011.6654447.752595e-08
0.4311131.6651367.598891e-08
0.4322181.664837.444793e-08
0.4333261.6645267.290299e-08
0.4344371.6642247.135410e-08
0.4355511.6639256.980124e-08
0.4366681.6636286.824439e-08
0.4377871.6633336.668355e-08
0.438911.663046.511872e-08
0.441.6627596.359900e-08
0.4400351.662756.357133e-08
0.4411631.6624616.268567e-08
0.4422951.6621756.179773e-08
0.4434291.6618916.090752e-08
0.4445661.6616096.001502e-08
0.4457051.6613285.912024e-08
0.4468481.661055.822316e-08
0.4479941.6607745.732378e-08
0.4491431.66055.642210e-08
0.4502941.6602275.551810e-08
0.4514491.6599575.461179e-08
0.4526061.6596895.370315e-08
0.4537671.6594225.279219e-08
0.454931.6591575.187888e-08
0.4560971.6588955.096324e-08
0.4572661.6586345.004525e-08
0.4584381.6583744.912490e-08
0.4596141.6581174.820220e-08
0.461.6580334.789900e-08
0.4607921.6578614.752231e-08
0.4619741.6576084.696053e-08
0.4631581.6573564.639731e-08
0.4643461.6571054.583264e-08
0.4655361.6568574.526652e-08
0.466731.656614.469896e-08
0.4679271.6563654.412994e-08
0.4691261.6561214.355946e-08
0.4703291.6558794.298751e-08
0.4715351.6556394.241410e-08
0.4727441.65544.183922e-08
0.4739561.6551634.126287e-08
0.4751711.6549284.068504e-08
0.476391.6546944.010573e-08
0.4776111.6544613.952493e-08
0.4788361.6542313.894264e-08
0.481.6540133.838900e-08
0.4800631.6540013.836862e-08
0.4812941.6537743.797290e-08
0.4825281.6535483.757616e-08
0.4837651.6533233.717840e-08
0.4850061.65313.677963e-08
0.4862491.6528783.637983e-08
0.4874961.6526583.597901e-08
0.4887461.6524393.557716e-08
0.4899991.6522213.517428e-08
0.4912551.6520053.477036e-08
0.4925151.6517913.436541e-08
0.4937781.6515773.395942e-08
0.4950441.6513663.355240e-08
0.4963131.6511553.314432e-08
0.4975861.6509463.273521e-08
0.4988611.6507383.232504e-08
0.51.6505543.195900e-08
0.5001411.6505323.189380e-08
0.5014231.6503273.129888e-08
0.5027091.6501233.070243e-08
0.5039971.649923.010445e-08
0.505291.6497192.950494e-08
0.5065851.6495192.890389e-08
0.5078841.649322.830130e-08
0.5091861.6491232.769717e-08
0.5104921.6489272.709149e-08
0.5118011.6487322.648425e-08
0.5131131.6485382.587546e-08
0.5144291.6483462.526511e-08
0.5157481.6481542.465319e-08
0.517071.6479642.403970e-08
0.5183961.6477752.342464e-08
0.5197251.6475872.280800e-08
0.5210571.6474012.218978e-08
0.5223931.6472152.156998e-08
0.5237331.6470312.094858e-08
0.5250761.6468482.032560e-08
0.5264221.6466661.970102e-08
0.5277721.6464851.907483e-08
0.5291251.6463051.844704e-08
0.5304811.6461261.781764e-08
0.5318421.6459491.718663e-08
0.5332051.6457721.655399e-08
0.5345721.6455971.591974e-08
0.5359431.6454221.528386e-08
0.5373171.6452491.464635e-08
0.5386951.6450771.400721e-08
0.5400761.6449051.336642e-08
0.5414611.6447351.272400e-08
0.5428491.6445661.207992e-08
0.5442411.6443981.143420e-08
0.5456361.6442311.078682e-08
0.5470351.6440641.013778e-08
0.5484381.6438999.487071e-09
0.5498441.6437358.834697e-09
0.551.6437178.762300e-09
0.5512541.6435728.902284e-09
0.5526671.643419.060095e-09
0.5540841.6432489.218311e-09
0.5555051.6430889.376933e-09
0.5569291.6429289.535961e-09
0.5583571.642779.695398e-09
0.5597891.6426129.855242e-09
0.5612241.6424561.001550e-08
0.5626631.64231.017616e-08
0.5641061.6421451.033724e-08
0.5655521.6419911.049873e-08
0.5670021.6418391.066064e-08
0.5684561.6416861.082296e-08
0.5699131.6415351.098569e-08
0.5713741.6413851.114884e-08
0.5728391.6412351.131242e-08
0.5743081.6410871.147641e-08
0.5757811.6409391.164082e-08
0.5772571.6407921.180565e-08
0.5787371.6406461.197091e-08
0.5802211.6405011.213659e-08
0.5817091.6403571.230269e-08
0.58321.6402131.246922e-08
0.5846951.640071.263618e-08
0.5861951.6399281.280356e-08
0.5876971.6397871.297138e-08
0.5892041.6396471.313962e-08
0.5907151.6395071.330830e-08
0.592231.6393691.347740e-08
0.5937481.6392311.364695e-08
0.595271.6390931.381692e-08
0.5967971.6389571.398733e-08
0.5983271.6388211.415818e-08
0.5998611.6386861.432947e-08
0.61.6386741.434500e-08
0.6013991.6385521.481460e-08
0.6029411.6384191.533221e-08
0.6044871.6382861.585114e-08
0.6060371.6381541.637141e-08
0.6075911.6380231.689300e-08
0.6091481.6378931.741594e-08
0.610711.6377631.794022e-08
0.6122761.6376341.846584e-08
0.6138461.6375061.899281e-08
0.615421.6373781.952113e-08
0.6169981.6372512.005080e-08
0.618581.6371252.058184e-08
0.6201661.6369992.111423e-08
0.6217561.6368752.164799e-08
0.623351.6367512.218312e-08
0.6249481.6366272.271962e-08
0.6265511.6365042.325750e-08
0.6281571.6363822.379675e-08
0.6297681.6362612.433739e-08
0.6313821.636142.487941e-08
0.6330011.636022.542283e-08
0.6346241.63592.596763e-08
0.6362511.6357812.651384e-08
0.6378831.6356632.706144e-08
0.6395181.6355452.761045e-08
0.6411581.6354282.816086e-08
0.6428021.6353122.871269e-08
0.644451.6351962.926593e-08
0.6461021.6350812.982059e-08
0.6477591.6349663.037668e-08
0.649421.6348523.093418e-08
0.651.6348133.112900e-08
0.6510851.6347393.081675e-08
0.6527541.6346263.033621e-08
0.6544281.6345142.985443e-08
0.6561061.6344032.937142e-08
0.6577881.6342922.888718e-08
0.6594741.6341812.840169e-08
0.6611651.6340712.791495e-08
0.6628611.6339622.742697e-08
0.664561.6338532.693774e-08
0.6662641.6337452.644725e-08
0.6679721.6336382.595551e-08
0.6696851.6335312.546250e-08
0.6714021.6334242.496823e-08
0.6731231.6333182.447269e-08
0.6748491.6332132.397588e-08
0.676581.6331082.347780e-08
0.6783141.6330042.297844e-08
0.6800531.63292.247780e-08
0.6817971.6327962.197588e-08
0.6835451.6326942.147267e-08
0.6852981.6325912.096817e-08
0.6870551.632492.046238e-08
0.6888161.6323881.995529e-08
0.6905831.6322881.944690e-08
0.6923531.6321871.893720e-08
0.6941281.6320881.842620e-08
0.6959081.6319891.791389e-08
0.6976921.631891.740027e-08
0.6994811.6317921.688533e-08
0.71.6317631.673600e-08
0.7012751.6316941.661396e-08
0.7030731.6315961.644182e-08
0.7048751.63151.626923e-08
0.7066831.6314031.609620e-08
0.7084951.6313071.592273e-08
0.7103111.6312121.574881e-08
0.7121321.6311171.557445e-08
0.7139581.6310231.539964e-08
0.7157891.6309291.522438e-08
0.7176241.6308351.504867e-08
0.7194641.6307421.487251e-08
0.7213091.6306491.469590e-08
0.7231581.6305571.451884e-08
0.7250121.6304651.434132e-08
0.7268711.6303741.416335e-08
0.7287351.6302831.398492e-08
0.7306031.6301921.380604e-08
0.7324771.6301021.362669e-08
0.7343551.6300121.344689e-08
0.7362371.6299231.326662e-08
0.7381251.6298341.308590e-08
0.7400181.6297461.290471e-08
0.7419151.6296581.272305e-08
0.7438171.629571.254093e-08
0.7457241.6294831.235834e-08
0.7476361.6293961.217529e-08
0.7495531.629311.199176e-08
0.751.629291.194900e-08
0.7514751.6292241.197250e-08
0.7534021.6291381.200320e-08
0.7553341.6290531.203398e-08
0.757271.6289681.206484e-08
0.7592121.6288831.209578e-08
0.7611591.6287991.212679e-08
0.763111.6287161.215789e-08
0.7650671.6286321.218906e-08
0.7670281.6285491.222032e-08
0.7689951.6284671.225165e-08
0.7709671.6283841.228307e-08
0.7729431.6283021.231456e-08
0.7749251.6282211.234614e-08
0.7769121.628141.237780e-08
0.7789041.6280591.240954e-08
0.781.6280151.242700e-08
0.7809011.6279781.244133e-08
0.7829031.6278981.247316e-08
0.7849111.6278181.250508e-08
0.7869231.6277391.253708e-08
0.7889411.627661.256916e-08
0.7909641.6275811.260132e-08
0.7929921.6275021.263357e-08
0.7950251.6274241.266589e-08
0.7970631.6273471.269830e-08
0.7991071.6272691.273080e-08
0.81.6272351.274500e-08
0.8011561.6271921.276341e-08
0.803211.6271151.279614e-08
0.8052691.6270391.282896e-08
0.8073341.6269621.286185e-08
0.8094041.6268861.289484e-08
0.8114791.6268111.292790e-08
0.813561.6267361.296105e-08
0.8156461.6266611.299429e-08
0.8177371.6265861.302761e-08
0.8198341.6265111.306102e-08
0.8219361.6264371.309451e-08
0.8240431.6263641.312809e-08
0.8261561.626291.316175e-08
0.8282741.6262171.319550e-08
0.831.6261581.322300e-08
0.8303981.6261441.322935e-08
0.8325271.6260711.326331e-08
0.8346621.6259991.329735e-08
0.8368021.6259271.333149e-08
0.8389471.6258551.336571e-08
0.8410981.6257831.340002e-08
0.8432551.6257121.343441e-08
0.8454171.6256411.346890e-08
0.8475841.625571.350347e-08
0.8497581.62551.353813e-08
0.851.6254921.354200e-08
0.8519361.625431.357283e-08
0.8541211.625361.360760e-08
0.8563111.625291.364247e-08
0.8585061.6252211.367742e-08
0.8607071.6251511.371246e-08
0.8629141.6250821.374759e-08
0.8651271.6250141.378282e-08
0.8673451.6249451.381813e-08
0.8695691.6248771.385353e-08
0.8717981.6248091.388903e-08
0.8740331.6247411.392461e-08
0.8762741.6246741.396029e-08
0.8785211.6246071.399606e-08
0.8807741.624541.403192e-08
0.8830321.6244731.406787e-08
0.8852961.6244061.410391e-08
0.8875661.624341.414005e-08
0.8898421.6242741.417628e-08
0.8921231.6242081.421260e-08
0.8944111.6241421.424902e-08
0.8967041.6240771.428552e-08
0.8990031.6240121.432213e-08
0.91.6239831.433800e-08
0.9013081.6239461.435885e-08
0.9036191.6238821.439568e-08
0.9059361.6238171.443261e-08
0.9082581.6237531.446964e-08
0.9105871.6236881.450676e-08
0.9129221.6236241.454398e-08
0.9152631.6235611.458129e-08
0.9176091.6234971.461869e-08
0.9199621.6234341.465619e-08
0.9223211.623371.469379e-08
0.9246861.6233071.473149e-08
0.9270561.6232441.476928e-08
0.9294331.6231821.480717e-08
0.9318161.6231191.484515e-08
0.9342061.6230571.488324e-08
0.9366011.6229951.492142e-08
0.9390021.6229331.495970e-08
0.941411.6228711.499807e-08
0.9438241.622811.503655e-08
0.9462441.6227481.507512e-08
0.948671.6226871.511379e-08
0.951.6226541.513500e-08
0.9511021.6226261.515254e-08
0.9535411.6225651.519137e-08
0.9559851.6225041.523029e-08
0.9584371.6224441.526931e-08
0.9608941.6223831.530843e-08
0.9633581.6223231.534765e-08
0.9658281.6222631.538698e-08
0.9683041.6222031.542640e-08
0.9707871.6221431.546592e-08
0.9732761.6220841.550555e-08
0.9757711.6220241.554528e-08
0.9782731.6219651.558511e-08
0.9807811.6219061.562504e-08
0.9832961.6218471.566507e-08
0.9858171.6217881.570521e-08
0.9883451.6217291.574545e-08
0.9908791.6216711.578579e-08
0.9934191.6216121.582624e-08
0.9959671.6215541.586679e-08
0.998521.6214961.590744e-08
11.6214621.593100e-08
1.001081.6214381.594822e-08
1.003651.621381.598913e-08
1.006221.6213221.603015e-08
1.00881.6212641.607128e-08
1.011391.6212071.611251e-08
1.013981.6211491.615384e-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
—