Optical constants

Refractive index of E-F8 (HOYA)

E-F8: 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
1.59551
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.54564
Permittivity ε2
2.98722e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
39.221
Chromatic dispersion dn/dλ
-0.0771518 µm⁻¹
Group index ng
1.64084
Group velocity dispersion
147.77 fs²/mm
Dispersion parameter D
-806.163 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-F8 (HOYA): E-F8
hoya_e_f8 = ls.fetch_refractiveindex("specs", "HOYA-optical", "E-F8", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_e_f8.range_nm)  # (365.01, 1013.98) nm
eps = hoya_e_f8.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=2.4866561−0.010188484⁢λ2.0+0.019287417⁢λ−2.0+0.00088553737⁢λ−4.0−5.0937106×10-5⁢λ−6.0+6.4256956×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.4866561
C2-0.010188484
C32.0
C40.019287417
C5-2.0
C60.00088553737
C7-4.0
C8-5.0937106e-05
C9-6.0
C106.4256956e-06
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: 2.25928e-06 0.0 0.0 0.0 0.0 0.0
nd
1.59551
Vd
39.22
glass code
596392
glass status
special
density
value: 2620
thermal expansion
value: 8.2e-06, temperature range: 243 343; value: 1e-05, temperature range: 293 573
dPgF
0.0027
resistance
acid: 1.0; stain: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.09e-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-F8 (HOYA), E-F8: n and k versus wavelength
λ (µm)nk
0.365011.6367062.603856e-06
0.3659461.6362962.361081e-06
0.3668841.6358912.117683e-06
0.3678251.6354891.873662e-06
0.3687681.635091.629015e-06
0.3697131.6346951.383740e-06
0.371.6345761.309400e-06
0.3706611.6343031.255069e-06
0.3716121.6339151.176995e-06
0.3725651.633531.098722e-06
0.373521.6331491.020248e-06
0.3744771.6327719.415723e-07
0.3754381.6323968.626952e-07
0.37641.6320247.836158e-07
0.3773651.6316567.043337e-07
0.3783331.631296.248483e-07
0.3793031.6309285.451591e-07
0.381.630674.878900e-07
0.3802751.6305694.802892e-07
0.381251.6302134.533798e-07
0.3822281.6298594.264014e-07
0.3832081.6295093.993539e-07
0.384191.6291623.722370e-07
0.3851761.6288173.450505e-07
0.3861631.6284753.177944e-07
0.3871531.6281372.904683e-07
0.3881461.62782.630722e-07
0.3891411.6274672.356059e-07
0.391.6271822.119000e-07
0.3901391.6271362.105328e-07
0.3911391.6268082.006798e-07
0.3921421.6264831.908015e-07
0.3931471.626161.808980e-07
0.3941551.625841.709690e-07
0.3951661.6255231.610146e-07
0.3961791.6252071.510346e-07
0.3971951.6248951.410291e-07
0.3982131.6245851.309979e-07
0.3992341.6242771.209410e-07
0.41.6240481.134000e-07
0.4002581.6239721.126324e-07
0.4012841.6236691.095797e-07
0.4023131.6233681.065192e-07
0.4033451.623071.034509e-07
0.4043791.6227741.003747e-07
0.4054161.622489.729056e-08
0.4064551.6221899.419855e-08
0.4074971.6218999.109860e-08
0.4085421.6216128.799071e-08
0.409591.6213278.487485e-08
0.410641.6210458.175100e-08
0.4116931.6207647.861915e-08
0.4127481.6204867.547926e-08
0.4138061.6202097.233132e-08
0.4148671.6199356.917531e-08
0.4159311.6196626.601121e-08
0.4169981.6193926.283899e-08
0.4180671.6191245.965865e-08
0.4191391.6188575.647014e-08
0.421.6186455.390800e-08
0.4202131.6185935.378388e-08
0.4212911.6183315.315699e-08
0.4223711.618075.252849e-08
0.4234541.6178115.189838e-08
0.424541.6175555.126665e-08
0.4256281.61735.063330e-08
0.4267191.6170474.999833e-08
0.4278131.6167954.936173e-08
0.428911.6165464.872350e-08
0.430011.6162984.808363e-08
0.4311131.6160524.744213e-08
0.4322181.6158084.679897e-08
0.4333261.6155654.615417e-08
0.4344371.6153254.550772e-08
0.4355511.6150854.485960e-08
0.4366681.6148484.420983e-08
0.4377871.6146124.355839e-08
0.438911.6143784.290528e-08
0.441.6141534.227100e-08
0.4400351.6141464.225483e-08
0.4411631.6139154.173714e-08
0.4422951.6136854.121812e-08
0.4434291.6134584.069777e-08
0.4445661.6132314.017609e-08
0.4457051.6130073.965306e-08
0.4468481.6127843.912870e-08
0.4479941.6125623.860300e-08
0.4491431.6123423.807594e-08
0.4502941.6121243.754754e-08
0.4514491.6119063.701778e-08
0.4526061.6116913.648666e-08
0.4537671.6114773.595418e-08
0.454931.6112643.542033e-08
0.4560971.6110533.488512e-08
0.4572661.6108433.434853e-08
0.4584381.6106343.381057e-08
0.4596141.6104273.327123e-08
0.461.6103593.309400e-08
0.4607921.6102213.299842e-08
0.4619741.6100173.285588e-08
0.4631581.6098143.271297e-08
0.4643461.6096123.256970e-08
0.4655361.6094123.242605e-08
0.466731.6092123.228204e-08
0.4679271.6090153.213766e-08
0.4691261.6088183.199291e-08
0.4703291.6086233.184779e-08
0.4715351.6084293.170230e-08
0.4727441.6082363.155644e-08
0.4739561.6080453.141020e-08
0.4751711.6078543.126358e-08
0.476391.6076653.111659e-08
0.4776111.6074783.096922e-08
0.4788361.6072913.082148e-08
0.481.6071153.068100e-08
0.4800631.6071063.065965e-08
0.4812941.6069213.024510e-08
0.4825281.6067382.982948e-08
0.4837651.6065562.941279e-08
0.4850061.6063752.899504e-08
0.4862491.6061962.857622e-08
0.4874961.6060172.815632e-08
0.4887461.605842.773534e-08
0.4899991.6056642.731329e-08
0.4912551.6054882.689015e-08
0.4925151.6053142.646593e-08
0.4937781.6051412.604062e-08
0.4950441.6049692.561422e-08
0.4963131.6047982.518673e-08
0.4975861.6046292.475814e-08
0.4988611.604462.432846e-08
0.51.6043112.394500e-08
0.5001411.6042922.390233e-08
0.5014231.6041252.351294e-08
0.5027091.603962.312255e-08
0.5039971.6037952.273116e-08
0.505291.6036312.233877e-08
0.5065851.6034692.194537e-08
0.5078841.6033072.155097e-08
0.5091861.6031462.115555e-08
0.5104921.6029872.075912e-08
0.5118011.6028282.036167e-08
0.5131131.602671.996320e-08
0.5144291.6025131.956371e-08
0.5157481.6023571.916320e-08
0.517071.6022021.876166e-08
0.5183961.6020481.835909e-08
0.5197251.6018951.795549e-08
0.5210571.6017431.755085e-08
0.5223931.6015921.714518e-08
0.5237331.6014411.673847e-08
0.5250761.6012921.633071e-08
0.5264221.6011431.592191e-08
0.5277721.6009951.551206e-08
0.5291251.6008491.510115e-08
0.5304811.6007021.468920e-08
0.5318421.6005571.427619e-08
0.5332051.6004131.386212e-08
0.5345721.600271.344699e-08
0.5359431.6001271.303079e-08
0.5373171.5999851.261353e-08
0.5386951.5998441.219519e-08
0.5400761.5997041.177579e-08
0.5414611.5995651.135531e-08
0.5428491.5994261.093375e-08
0.5442411.5992881.051111e-08
0.5456361.5991511.008739e-08
0.5470351.5990159.662576e-09
0.5484381.598889.236677e-09
0.5498441.5987458.809686e-09
0.551.598738.762300e-09
0.5512541.5986118.782274e-09
0.5526671.5984788.804793e-09
0.5540841.5983468.827369e-09
0.5555051.5982148.850002e-09
0.5569291.5980848.872694e-09
0.5583571.5979548.895444e-09
0.5597891.5978248.918253e-09
0.5612241.5976968.941120e-09
0.5626631.5975688.964045e-09
0.5641061.5974418.987030e-09
0.5655521.5973149.010073e-09
0.5670021.5971889.033175e-09
0.5684561.5970639.056337e-09
0.5699131.5969399.079558e-09
0.5713741.5968159.102838e-09
0.5728391.5966929.126178e-09
0.5743081.596579.149578e-09
0.5757811.5964489.173038e-09
0.5772571.5963289.196558e-09
0.5787371.5962079.220139e-09
0.5802211.5960889.243780e-09
0.5817091.5959699.267481e-09
0.58321.595859.291243e-09
0.5846951.5957339.315067e-09
0.5861951.5956169.338951e-09
0.5876971.5954999.362896e-09
0.5892041.5953849.386903e-09
0.5907151.5952699.410972e-09
0.592231.5951549.435102e-09
0.5937481.595049.459294e-09
0.595271.5949279.483548e-09
0.5967971.5948149.507864e-09
0.5983271.5947029.532243e-09
0.5998611.5945919.556684e-09
0.61.5945819.558900e-09
0.6013991.594489.871511e-09
0.6029411.594371.021608e-08
0.6044871.594261.056154e-08
0.6060371.5941511.090788e-08
0.6075911.5940431.125511e-08
0.6091481.5939351.160322e-08
0.610711.5938271.195224e-08
0.6122761.5937211.230214e-08
0.6138461.5936141.265294e-08
0.615421.5935091.300465e-08
0.6169981.5934041.335725e-08
0.618581.5932991.371076e-08
0.6201661.5931951.406517e-08
0.6217561.5930921.442050e-08
0.623351.5929891.477673e-08
0.6249481.5928861.513388e-08
0.6265511.5927851.549194e-08
0.6281571.5926831.585093e-08
0.6297681.5925831.621083e-08
0.6313821.5924821.657165e-08
0.6330011.5923831.693340e-08
0.6346241.5922831.729608e-08
0.6362511.5921851.765969e-08
0.6378831.5920861.802423e-08
0.6395181.5919891.838970e-08
0.6411581.5918911.875611e-08
0.6428021.5917951.912346e-08
0.644451.5916981.949176e-08
0.6461021.5916031.986099e-08
0.6477591.5915072.023118e-08
0.649421.5914132.060231e-08
0.651.591382.073200e-08
0.6510851.5913182.040314e-08
0.6527541.5912241.989703e-08
0.6544281.5911311.938962e-08
0.6561061.5910381.888091e-08
0.6577881.5909461.837090e-08
0.6594741.5908541.785958e-08
0.6611651.5907621.734695e-08
0.6628611.5906711.683300e-08
0.664561.5905811.631774e-08
0.6662641.590491.580115e-08
0.6679721.5904011.528324e-08
0.6696851.5903111.476401e-08
0.6714021.5902221.424344e-08
0.6731231.5901341.372153e-08
0.6748491.5900461.319829e-08
0.676581.5899581.267371e-08
0.6783141.5898711.214778e-08
0.6800531.5897851.162051e-08
0.6817971.5896981.109188e-08
0.6835451.5896121.056189e-08
0.6852981.5895271.003055e-08
0.6870551.5894429.497846e-09
0.6888161.5893578.963775e-09
0.6905831.5892738.428335e-09
0.6923531.5891897.891523e-09
0.6941281.5891067.353333e-09
0.6959081.5890226.813764e-09
0.6976921.588946.272812e-09
0.6994811.5888575.730472e-09
0.71.5888345.573200e-09
0.7012751.5887765.583349e-09
0.7030731.5886945.597665e-09
0.7048751.5886135.612018e-09
0.7066831.5885325.626407e-09
0.7084951.5884525.640834e-09
0.7103111.5883725.655297e-09
0.7121321.5882925.669798e-09
0.7139581.5882135.684336e-09
0.7157891.5881345.698911e-09
0.7176241.5880555.713523e-09
0.7194641.5879775.728173e-09
0.7213091.5878995.742860e-09
0.7231581.5878215.757585e-09
0.7250121.5877445.772348e-09
0.7268711.5876675.787148e-09
0.7287351.5875915.801987e-09
0.7306031.5875155.816864e-09
0.7324771.5874395.831778e-09
0.7343551.5873645.846731e-09
0.7362371.5872885.861723e-09
0.7381251.5872145.876752e-09
0.7400181.5871395.891821e-09
0.7419151.5870655.906928e-09
0.7438171.5869915.922073e-09
0.7457241.5869185.937258e-09
0.7476361.5868455.952481e-09
0.7495531.5867725.967744e-09
0.751.5867555.971300e-09
0.7514751.5866995.983043e-09
0.7534021.5866275.998380e-09
0.7553341.5865556.013756e-09
0.757271.5864836.029172e-09
0.7592121.5864126.044627e-09
0.7611591.5863416.060122e-09
0.763111.586276.075656e-09
0.7650671.58626.091231e-09
0.7670281.586136.106845e-09
0.7689951.586066.122500e-09
0.7709671.585996.138194e-09
0.7729431.5859216.153929e-09
0.7749251.5858526.169704e-09
0.7769121.5857836.185520e-09
0.7789041.5857156.201376e-09
0.781.5856776.210100e-09
0.7809011.5856476.217277e-09
0.7829031.5855796.233225e-09
0.7849111.5855116.249213e-09
0.7869231.5854446.265243e-09
0.7889411.5853776.281313e-09
0.7909641.585316.297425e-09
0.7929921.5852436.313578e-09
0.7950251.5851776.329772e-09
0.7970631.5851116.346008e-09
0.7991071.5850456.362286e-09
0.81.5850176.369400e-09
0.8011561.584986.378600e-09
0.803211.5849156.394951e-09
0.8052691.584856.411343e-09
0.8073341.5847856.427778e-09
0.8094041.584726.444255e-09
0.8114791.5846566.460775e-09
0.813561.5845926.477336e-09
0.8156461.5845286.493940e-09
0.8177371.5844656.510587e-09
0.8198341.5844026.527276e-09
0.8219361.5843386.544008e-09
0.8240431.5842766.560783e-09
0.8261561.5842136.577602e-09
0.8282741.5841516.594463e-09
0.831.58416.608200e-09
0.8303981.5840896.611369e-09
0.8325271.5840276.628327e-09
0.8346621.5839656.645329e-09
0.8368021.5839036.662375e-09
0.8389471.5838426.679464e-09
0.8410981.5837816.696597e-09
0.8432551.583726.713774e-09
0.8454171.583666.730995e-09
0.8475841.5835996.748260e-09
0.8497581.5835396.765569e-09
0.851.5835336.767500e-09
0.8519361.5834796.782917e-09
0.8541211.5834196.800309e-09
0.8563111.583366.817745e-09
0.8585061.5833016.835226e-09
0.8607071.5832416.852752e-09
0.8629141.5831826.870323e-09
0.8651271.5831246.887939e-09
0.8673451.5830656.905599e-09
0.8695691.5830076.923306e-09
0.8717981.5829486.941057e-09
0.8740331.582896.958855e-09
0.8762741.5828336.976697e-09
0.8785211.5827756.994586e-09
0.8807741.5827187.012520e-09
0.8830321.582667.030501e-09
0.8852961.5826037.048527e-09
0.8875661.5825467.066600e-09
0.8898421.582497.084719e-09
0.8921231.5824337.102884e-09
0.8944111.5823777.121096e-09
0.8967041.582327.139355e-09
0.8990031.5822647.157661e-09
0.91.582247.165600e-09
0.9013081.5822087.176011e-09
0.9036191.5821537.194406e-09
0.9059361.5820977.212848e-09
0.9082581.5820427.231337e-09
0.9105871.5819877.249874e-09
0.9129221.5819327.268458e-09
0.9152631.5818777.287090e-09
0.9176091.5818227.305770e-09
0.9199621.5817677.324498e-09
0.9223211.5817137.343273e-09
0.9246861.5816587.362097e-09
0.9270561.5816047.380969e-09
0.9294331.581557.399890e-09
0.9318161.5814967.418859e-09
0.9342061.5814437.437876e-09
0.9366011.5813897.456943e-09
0.9390021.5813367.476058e-09
0.941411.5812827.495222e-09
0.9438241.5812297.514436e-09
0.9462441.5811767.533698e-09
0.948671.5811237.553010e-09
0.951.5810947.563600e-09
0.9511021.5810717.572374e-09
0.9535411.5810187.591790e-09
0.9559851.5809657.611256e-09
0.9584371.5809137.630772e-09
0.9608941.5808617.650338e-09
0.9633581.5808097.669954e-09
0.9658281.5807577.689620e-09
0.9683041.5807057.709337e-09
0.9707871.5806537.729104e-09
0.9732761.5806017.748922e-09
0.9757711.580557.768791e-09
0.9782731.5804997.788710e-09
0.9807811.5804477.808681e-09
0.9832961.5803967.828703e-09
0.9858171.5803457.848776e-09
0.9883451.5802947.868901e-09
0.9908791.5802437.889077e-09
0.9934191.5801927.909306e-09
0.9959671.5801427.929586e-09
0.998521.5800917.949918e-09
11.5800627.961700e-09
1.001081.5800417.970302e-09
1.003651.579997.990738e-09
1.006221.579948.011227e-09
1.00881.579898.031768e-09
1.011391.579848.052362e-09
1.013981.579798.073009e-09

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
—