Optical constants

Refractive index of E-F5 (HOYA)

E-F5: 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
1.60342
Extinction coefficient k
1.51379e-08
Permittivity ε1
2.57095
Permittivity ε2
4.85446e-08
Absorption coefficient α
0.00323737 cm⁻¹
Penetration depth δ = λ/(2πk)
6.17785e+09 nm
Abbe number Vd
38.011
Chromatic dispersion dn/dλ
-0.0805813 µm⁻¹
Group index ng
1.65077
Group velocity dispersion
155.056 fs²/mm
Dispersion parameter D
-845.914 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-F5 (HOYA): E-F5
hoya_e_f5 = ls.fetch_refractiveindex("specs", "HOYA-optical", "E-F5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_e_f5.range_nm)  # (365.01, 1013.98) nm
eps = hoya_e_f5.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=2.5095673−0.010862661⁢λ2.0+0.019894774⁢λ−2.0+0.0010137134⁢λ−4.0−6.2697117×10-5⁢λ−6.0+7.5080045×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.5095673
C2-0.010862661
C32.0
C40.019894774
C5-2.0
C60.0010137134
C7-4.0
C8-6.2697117e-05
C9-6.0
C107.5080045e-06
C11-8.0

Comments and conditions

General glass Type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.63967e-06 0.0 0.0 0.0 0.0 0.0
nd
1.60342
Vd
38.01
glass code
603380
density
value: 2630
thermal expansion
value: 8e-06, temperature range: 243 343; value: 9.5e-06, temperature range: 293 573
dPgF
0.0029
resistance
acid: 1.0; stain: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.29e-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-F5 (HOYA), E-F5: n and k versus wavelength
λ (µm)nk
0.365011.6467753.192927e-06
0.3659461.6463412.900644e-06
0.3668841.645912.607612e-06
0.3678251.6454832.313829e-06
0.3687681.6450612.019292e-06
0.3697131.6446421.724000e-06
0.371.6445161.634500e-06
0.3706611.6442261.566089e-06
0.3716121.6438151.467783e-06
0.3725651.6434071.369226e-06
0.373521.6430021.270415e-06
0.3744771.6426021.171352e-06
0.3754381.6422041.072034e-06
0.37641.6418119.724616e-07
0.3773651.641428.726340e-07
0.3783331.6410337.725504e-07
0.3793031.640656.722101e-07
0.381.6403776.001000e-07
0.3802751.6402695.910724e-07
0.381251.6398925.591114e-07
0.3822281.6395195.270686e-07
0.3832081.6391484.949435e-07
0.384191.638784.627361e-07
0.3851761.6384164.304461e-07
0.3861631.6380543.980733e-07
0.3871531.6376963.656175e-07
0.3881461.6373413.330785e-07
0.3891411.6369883.004561e-07
0.391.6366872.723000e-07
0.3901391.6366392.704622e-07
0.3911391.6362922.572182e-07
0.3921421.6359482.439402e-07
0.3931471.6356072.306282e-07
0.3941551.6352692.172821e-07
0.3951661.6349332.039017e-07
0.3961791.6346011.904870e-07
0.3971951.634271.770380e-07
0.3982131.6339431.635544e-07
0.3992341.6336181.500363e-07
0.41.6333771.399000e-07
0.4002581.6332961.390543e-07
0.4012841.6329761.356907e-07
0.4023131.6326591.323186e-07
0.4033451.6323441.289378e-07
0.4043791.6320321.255483e-07
0.4054161.6317221.221502e-07
0.4064551.6314141.187433e-07
0.4074971.6311091.153277e-07
0.4085421.6308071.119033e-07
0.409591.6305061.084702e-07
0.410641.6302081.050282e-07
0.4116931.6299121.015775e-07
0.4127481.6296199.811783e-08
0.4138061.6293289.464934e-08
0.4148671.6290389.117196e-08
0.4159311.6287528.768566e-08
0.4169981.6284678.419043e-08
0.4180671.6281848.068623e-08
0.4191391.6279047.717304e-08
0.421.627687.435000e-08
0.4202131.6276257.415936e-08
0.4212911.6273497.319647e-08
0.4223711.6270747.223112e-08
0.4234541.6268027.126329e-08
0.424541.6265327.029298e-08
0.4256281.6262636.932019e-08
0.4267191.6259976.834489e-08
0.4278131.6257326.736710e-08
0.428911.625476.638680e-08
0.430011.6252096.540399e-08
0.4311131.624956.441866e-08
0.4322181.6246946.343080e-08
0.4333261.6244386.244041e-08
0.4344371.6241856.144748e-08
0.4355511.6239346.045200e-08
0.4366681.6236845.945397e-08
0.4377871.6234365.845338e-08
0.438911.623195.745023e-08
0.441.6229535.647600e-08
0.4400351.6229455.647397e-08
0.4411631.6227035.640898e-08
0.4422951.6224625.634383e-08
0.4434291.6222225.627851e-08
0.4445661.6219855.621302e-08
0.4457051.6217495.614737e-08
0.4468481.6215145.608154e-08
0.4479941.6212815.601555e-08
0.4491431.621055.594939e-08
0.4502941.6208215.588306e-08
0.4514491.6205935.581656e-08
0.4526061.6203665.574988e-08
0.4537671.6201415.568304e-08
0.454931.6199185.561603e-08
0.4560971.6196965.554884e-08
0.4572661.6194755.548148e-08
0.4584381.6192565.541395e-08
0.4596141.6190395.534625e-08
0.461.6189685.532400e-08
0.4607921.6188235.495919e-08
0.4619741.6186085.441513e-08
0.4631581.6183955.386968e-08
0.4643461.6181845.332282e-08
0.4655361.6179735.277457e-08
0.466731.6177645.222491e-08
0.4679271.6175575.167383e-08
0.4691261.6173515.112135e-08
0.4703291.6171465.056745e-08
0.4715351.6169425.001213e-08
0.4727441.616744.945538e-08
0.4739561.6165394.889721e-08
0.4751711.616344.833761e-08
0.476391.6161414.777657e-08
0.4776111.6159444.721409e-08
0.4788361.6157494.665017e-08
0.481.6155644.611400e-08
0.4800631.6155544.608186e-08
0.4812941.6153614.545768e-08
0.4825281.6151694.483191e-08
0.4837651.6149784.420453e-08
0.4850061.6147894.357555e-08
0.4862491.6146014.294495e-08
0.4874961.6144134.231273e-08
0.4887461.6142274.167890e-08
0.4899991.6140434.104344e-08
0.4912551.6138594.040634e-08
0.4925151.6136773.976762e-08
0.4937781.6134953.912726e-08
0.4950441.6133153.848525e-08
0.4963131.6131363.784160e-08
0.4975861.6129583.719630e-08
0.4988611.6127823.654935e-08
0.51.6126253.597200e-08
0.5001411.6126063.592020e-08
0.5014231.6124313.544753e-08
0.5027091.6122583.497364e-08
0.5039971.6120853.449854e-08
0.505291.6119143.402223e-08
0.5065851.6117433.354469e-08
0.5078841.6115743.306593e-08
0.5091861.6114063.258594e-08
0.5104921.6112393.210471e-08
0.5118011.6110723.162226e-08
0.5131131.6109073.113857e-08
0.5144291.6107433.065364e-08
0.5157481.610583.016746e-08
0.517071.6104182.968004e-08
0.5183961.6102562.919137e-08
0.5197251.6100962.870144e-08
0.5210571.6099372.821026e-08
0.5223931.6097782.771782e-08
0.5237331.6096212.722412e-08
0.5250761.6094652.672915e-08
0.5264221.6093092.623291e-08
0.5277721.6091542.573540e-08
0.5291251.6090012.523662e-08
0.5304811.6088482.473655e-08
0.5318421.6086962.423521e-08
0.5332051.6085452.373258e-08
0.5345721.6083952.322866e-08
0.5359431.6082462.272344e-08
0.5373171.6080972.221693e-08
0.5386951.607952.170913e-08
0.5400761.6078032.120002e-08
0.5414611.6076582.068960e-08
0.5428491.6075132.017788e-08
0.5442411.6073691.966485e-08
0.5456361.6072251.915050e-08
0.5470351.6070831.863483e-08
0.5484381.6069421.811784e-08
0.5498441.6068011.759952e-08
0.551.6067851.754200e-08
0.5512541.6066611.746184e-08
0.5526671.6065221.737146e-08
0.5540841.6063831.728086e-08
0.5555051.6062461.719002e-08
0.5569291.6061091.709895e-08
0.5583571.6059731.700765e-08
0.5597891.6058381.691611e-08
0.5612241.6057041.682434e-08
0.5626631.605571.673233e-08
0.5641061.6054371.664009e-08
0.5655521.6053051.654761e-08
0.5670021.6051731.645490e-08
0.5684561.6050431.636194e-08
0.5699131.6049131.626875e-08
0.5713741.6047841.617532e-08
0.5728391.6046551.608165e-08
0.5743081.6045271.598773e-08
0.5757811.60441.589358e-08
0.5772571.6042741.579919e-08
0.5787371.6041481.570455e-08
0.5802211.6040231.560967e-08
0.5817091.6038991.551455e-08
0.58321.6037761.541919e-08
0.5846951.6036531.532358e-08
0.5861951.603531.522772e-08
0.5876971.6034091.513162e-08
0.5892041.6032881.503528e-08
0.5907151.6031681.493868e-08
0.592231.6030481.484184e-08
0.5937481.6029291.474475e-08
0.595271.6028111.464741e-08
0.5967971.6026941.454982e-08
0.5983271.6025771.445198e-08
0.5998611.602461.435389e-08
0.61.602451.434500e-08
0.6013991.6023441.481460e-08
0.6029411.6022291.533221e-08
0.6044871.6021151.585114e-08
0.6060371.6020011.637141e-08
0.6075911.6018881.689300e-08
0.6091481.6017751.741594e-08
0.610711.6016631.794022e-08
0.6122761.6015521.846584e-08
0.6138461.6014411.899281e-08
0.615421.6013311.952113e-08
0.6169981.6012212.005080e-08
0.618581.6011122.058184e-08
0.6201661.6010032.111423e-08
0.6217561.6008952.164799e-08
0.623351.6007882.218312e-08
0.6249481.6006812.271962e-08
0.6265511.6005752.325750e-08
0.6281571.6004692.379675e-08
0.6297681.6003642.433739e-08
0.6313821.6002592.487941e-08
0.6330011.6001552.542283e-08
0.6346241.6000522.596763e-08
0.6362511.5999492.651384e-08
0.6378831.5998462.706144e-08
0.6395181.5997442.761045e-08
0.6411581.5996432.816086e-08
0.6428021.5995422.871269e-08
0.644451.5994412.926593e-08
0.6461021.5993422.982059e-08
0.6477591.5992423.037668e-08
0.649421.5991433.093418e-08
0.651.5991093.112900e-08
0.6510851.5990453.093802e-08
0.6527541.5989473.064412e-08
0.6544281.598853.034945e-08
0.6561061.5987533.005404e-08
0.6577881.5986562.975786e-08
0.6594741.598562.946093e-08
0.6611651.5984652.916324e-08
0.6628611.598372.886478e-08
0.664561.5982752.856555e-08
0.6662641.5981812.826556e-08
0.6679721.5980882.796480e-08
0.6696851.5979952.766327e-08
0.6714021.5979022.736097e-08
0.6731231.597812.705789e-08
0.6748491.5977182.675403e-08
0.676581.5976272.644940e-08
0.6783141.5975362.614398e-08
0.6800531.5974452.583778e-08
0.6817971.5973552.553080e-08
0.6835451.5972662.522303e-08
0.6852981.5971772.491447e-08
0.6870551.5970882.460512e-08
0.6888161.5972.429497e-08
0.6905831.5969122.398403e-08
0.6923531.5968242.367229e-08
0.6941281.5967372.335976e-08
0.6959081.5966512.304642e-08
0.6976921.5965652.273228e-08
0.6994811.5964792.241733e-08
0.71.5964542.232600e-08
0.7012751.5963932.190905e-08
0.7030731.5963082.132092e-08
0.7048751.5962242.073129e-08
0.7066831.596142.014014e-08
0.7084951.5960561.954747e-08
0.7103111.5959721.895329e-08
0.7121321.5958891.835758e-08
0.7139581.5958071.776034e-08
0.7157891.5957241.716157e-08
0.7176241.5956431.656127e-08
0.7194641.5955611.595943e-08
0.7213091.595481.535605e-08
0.7231581.5953991.475112e-08
0.7250121.5953191.414463e-08
0.7268711.5952391.353660e-08
0.7287351.5951591.292700e-08
0.7306031.5950791.231584e-08
0.7324771.5951.170311e-08
0.7343551.5949221.108881e-08
0.7362371.5948441.047294e-08
0.7381251.5947669.855490e-09
0.7400181.5946889.236456e-09
0.7419151.5946118.615834e-09
0.7438171.5945347.993620e-09
0.7457241.5944577.369812e-09
0.7476361.5943816.744404e-09
0.7495531.5943056.117392e-09
0.751.5942875.971300e-09
0.7514751.5942295.983043e-09
0.7534021.5941545.998380e-09
0.7553341.5940796.013756e-09
0.757271.5940046.029172e-09
0.7592121.593936.044627e-09
0.7611591.5938566.060122e-09
0.763111.5937826.075656e-09
0.7650671.5937096.091231e-09
0.7670281.5936366.106845e-09
0.7689951.5935636.122500e-09
0.7709671.5934916.138194e-09
0.7729431.5934186.153929e-09
0.7749251.5933476.169704e-09
0.7769121.5932756.185520e-09
0.7789041.5932046.201376e-09
0.781.5931656.210100e-09
0.7809011.5931336.217277e-09
0.7829031.5930626.233225e-09
0.7849111.5929926.249213e-09
0.7869231.5929216.265243e-09
0.7889411.5928516.281313e-09
0.7909641.5927826.297425e-09
0.7929921.5927136.313578e-09
0.7950251.5926446.329772e-09
0.7970631.5925756.346008e-09
0.7991071.5925066.362286e-09
0.81.5924766.369400e-09
0.8011561.5924386.378600e-09
0.803211.592376.394951e-09
0.8052691.5923026.411343e-09
0.8073341.5922356.427778e-09
0.8094041.5921686.444255e-09
0.8114791.5921016.460775e-09
0.813561.5920346.477336e-09
0.8156461.5919686.493940e-09
0.8177371.5919016.510587e-09
0.8198341.5918356.527276e-09
0.8219361.591776.544008e-09
0.8240431.5917046.560783e-09
0.8261561.5916396.577602e-09
0.8282741.5915746.594463e-09
0.831.5915216.608200e-09
0.8303981.5915096.611369e-09
0.8325271.5914456.628327e-09
0.8346621.5913816.645329e-09
0.8368021.5913176.662375e-09
0.8389471.5912536.679464e-09
0.8410981.5911896.696597e-09
0.8432551.5911266.713774e-09
0.8454171.5910636.730995e-09
0.8475841.5916.748260e-09
0.8497581.5909376.765569e-09
0.851.590936.767500e-09
0.8519361.5908746.782917e-09
0.8541211.5908126.800309e-09
0.8563111.590756.817745e-09
0.8585061.5906886.835226e-09
0.8607071.5906276.852752e-09
0.8629141.5905656.870323e-09
0.8651271.5905046.887939e-09
0.8673451.5904436.905599e-09
0.8695691.5903826.923306e-09
0.8717981.5903216.941057e-09
0.8740331.5902616.958855e-09
0.8762741.5902016.976697e-09
0.8785211.5901416.994586e-09
0.8807741.5900817.012520e-09
0.8830321.5900217.030501e-09
0.8852961.5899627.048527e-09
0.8875661.5899027.066600e-09
0.8898421.5898437.084719e-09
0.8921231.5897847.102884e-09
0.8944111.5897257.121096e-09
0.8967041.5896677.139355e-09
0.8990031.5896087.157661e-09
0.91.5895837.165600e-09
0.9013081.589557.374060e-09
0.9036191.5894927.742393e-09
0.9059361.5894348.111671e-09
0.9082581.5893768.481896e-09
0.9105871.5893198.853070e-09
0.9129221.5892619.225196e-09
0.9152631.5892049.598276e-09
0.9176091.5891479.972312e-09
0.9199621.589091.034731e-08
0.9223211.5890331.072326e-08
0.9246861.5889771.110018e-08
0.9270561.588921.147807e-08
0.9294331.5888641.185693e-08
0.9318161.5888081.223676e-08
0.9342061.5887521.261756e-08
0.9366011.5886961.299933e-08
0.9390021.588641.338209e-08
0.941411.5885851.376583e-08
0.9438241.5885291.415055e-08
0.9462441.5884741.453626e-08
0.948671.5884191.492296e-08
0.951.5883891.513500e-08
0.9511021.5883641.515254e-08
0.9535411.5883091.519137e-08
0.9559851.5882541.523029e-08
0.9584371.5881991.526931e-08
0.9608941.5881451.530843e-08
0.9633581.5880911.534765e-08
0.9658281.5880361.538698e-08
0.9683041.5879821.542640e-08
0.9707871.5879281.546592e-08
0.9732761.5878741.550555e-08
0.9757711.5878211.554528e-08
0.9782731.5877671.558511e-08
0.9807811.5877131.562504e-08
0.9832961.587661.566507e-08
0.9858171.5876071.570521e-08
0.9883451.5875541.574545e-08
0.9908791.5875011.578579e-08
0.9934191.5874481.582624e-08
0.9959671.5873951.586679e-08
0.998521.5873421.590744e-08
11.5873121.593100e-08
1.001081.5872891.594822e-08
1.003651.5872371.598913e-08
1.006221.5871841.603015e-08
1.00881.5871321.607128e-08
1.011391.587081.611251e-08
1.013981.5870281.615384e-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
—