Optical constants

Refractive index of E-F8 (HIKARI)

E-F8: n,k 0.4–0.7 µm

Data
formula 3 + tabulated k
Range
0.4–0.7 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4–0.7 µm
Refractive index n
1.59551
Extinction coefficient k
5.76535e-09
Permittivity ε1
2.54564
Permittivity ε2
1.83973e-08
Absorption coefficient α
0.00123297 cm⁻¹
Penetration depth δ = λ/(2πk)
1.62209e+10 nm
Abbe number Vd
39.216
Chromatic dispersion dn/dλ
-0.0772668 µm⁻¹
Group index ng
1.64091
Group velocity dispersion
146.763 fs²/mm
Dispersion parameter D
-800.671 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 (HIKARI): E-F8
hikari_e_f8 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-F8", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_f8.range_nm)  # (400, 700) nm
eps = hikari_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=2.47286461−0.00151192688⁢λ2.0+0.0276004612⁢λ−2.0−0.00152550371⁢λ−4.0+0.000290711488⁢λ−6.0−1.28484326×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.47286461
C2-0.00151192688
C32.0
C40.0276004612
C5-2.0
C6-0.00152550371
C7-4.0
C80.000290711488
C9-6.0
C10-1.28484326e-05
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.595510
Vd
39.216011
glass status
preferred
density
value: 2630
thermal expansion
value: 9.4e-06, temperature range: 243 343
dPgF
-0.0009

References

Cite

NIKON Zemax catalog 2017-11 (obtained from http://www.nikon.com); See also HIKARI 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 408 wavelengths, the same grid as the API and the library
E-F8 (HIKARI), E-F8: n and k versus wavelength
λ (µm)nk
0.41.6238551.499000e-07
0.4005611.6236931.476834e-07
0.4011241.6235311.454637e-07
0.4016871.623371.432409e-07
0.402251.623211.410149e-07
0.4028151.623051.387859e-07
0.403381.6228911.365537e-07
0.4039461.6227331.343184e-07
0.4045131.6225751.320799e-07
0.4050811.6224181.298383e-07
0.405651.6222611.275935e-07
0.4062191.6221051.253456e-07
0.4067891.6219491.230946e-07
0.407361.6217941.208404e-07
0.4079321.621641.185830e-07
0.4085041.6214861.163224e-07
0.4090781.6213331.140587e-07
0.4096521.621181.117918e-07
0.4102271.6210281.095217e-07
0.4108031.6208761.072485e-07
0.4113791.6207251.049720e-07
0.4119571.6205751.026923e-07
0.4125351.6204251.004095e-07
0.4131141.6202769.812344e-08
0.4136941.6201279.583417e-08
0.4142741.6199799.354169e-08
0.4148561.6198329.124600e-08
0.4154381.6196858.894708e-08
0.4160211.6195388.664494e-08
0.4166051.6193928.433956e-08
0.417191.6192478.203095e-08
0.4177751.6191027.971910e-08
0.4183621.6189587.740401e-08
0.4189491.6188147.508566e-08
0.4195371.6186717.276406e-08
0.421.6185587.093500e-08
0.4201261.6185287.079958e-08
0.4207151.6183867.016366e-08
0.4213061.6182446.952685e-08
0.4218971.6181036.888914e-08
0.4224891.6179626.825054e-08
0.4230821.6178226.761105e-08
0.4236761.6176836.697066e-08
0.4242711.6175446.632937e-08
0.4248661.6174056.568717e-08
0.4254621.6172676.504408e-08
0.426061.617136.440009e-08
0.4266581.6169936.375519e-08
0.4272561.6168576.310938e-08
0.4278561.6167216.246267e-08
0.4284571.6165856.181505e-08
0.4290581.616456.116652e-08
0.429661.6163166.051709e-08
0.4302631.6161825.986674e-08
0.4308671.6160485.921548e-08
0.4314721.6159155.856330e-08
0.4320771.6157835.791021e-08
0.4326841.6156515.725620e-08
0.4332911.615525.660127e-08
0.4338991.6153895.594543e-08
0.4345081.6152585.528866e-08
0.4351181.6151285.463097e-08
0.4357291.6149995.397236e-08
0.436341.6148695.331283e-08
0.4369531.6147415.265237e-08
0.4375661.6146135.199098e-08
0.438181.6144855.132866e-08
0.4387951.6143585.066542e-08
0.4394111.6142315.000124e-08
0.441.6141114.936600e-08
0.4400281.6141054.935371e-08
0.4406451.6139794.907959e-08
0.4412641.6138544.880509e-08
0.4418831.6137294.853020e-08
0.4425031.6136044.825492e-08
0.4431241.613484.797926e-08
0.4437461.6133574.770322e-08
0.4443691.6132344.742678e-08
0.4449931.6131114.714996e-08
0.4456171.6129894.687275e-08
0.4462431.6128674.659515e-08
0.4468691.6127464.631716e-08
0.4474961.6126254.603878e-08
0.4481241.6125054.576001e-08
0.4487531.6123854.548085e-08
0.4493831.6122654.520129e-08
0.4500141.6121464.492135e-08
0.4506451.6120284.464101e-08
0.4512781.6119094.436027e-08
0.4519111.6117914.407915e-08
0.4525461.6116744.379763e-08
0.4531811.6115574.351571e-08
0.4538171.6114414.323340e-08
0.4544541.6113244.295069e-08
0.4550921.6112094.266758e-08
0.455731.6110934.238408e-08
0.456371.6109794.210018e-08
0.4570111.6108644.181588e-08
0.4576521.610754.153118e-08
0.4582941.6106364.124609e-08
0.4589381.6105234.096059e-08
0.4595821.610414.067469e-08
0.461.6103374.048900e-08
0.4602271.6102984.033422e-08
0.4608731.6101863.989314e-08
0.4615191.6100743.945144e-08
0.4621671.6099633.900912e-08
0.4628161.6098523.856617e-08
0.4634651.6097423.812261e-08
0.4641161.6096323.767843e-08
0.4647671.6095223.723362e-08
0.465421.6094133.678818e-08
0.4660731.6093043.634213e-08
0.4667271.6091953.589544e-08
0.4673821.6090873.544813e-08
0.4680381.6089793.500019e-08
0.4686951.6088723.455162e-08
0.4693531.6087653.410243e-08
0.4700121.6086583.365260e-08
0.4706711.6085523.320214e-08
0.4713321.6084463.275105e-08
0.4719931.6083413.229932e-08
0.4726561.6082363.184696e-08
0.4733191.6081313.139397e-08
0.4739841.6080263.094034e-08
0.4746491.6079223.048607e-08
0.4753151.6078193.003117e-08
0.4759821.6077152.957563e-08
0.476651.6076122.911945e-08
0.4773191.607512.866263e-08
0.4779891.6074082.820516e-08
0.478661.6073062.774706e-08
0.4793321.6072042.728831e-08
0.481.6071042.683200e-08
0.4800051.6071032.683045e-08
0.4806781.6070022.659842e-08
0.4813531.6069022.636608e-08
0.4820281.6068022.613340e-08
0.4827051.6067022.590040e-08
0.4833821.6066022.566707e-08
0.4840611.6065032.543342e-08
0.484741.6064042.519943e-08
0.4854211.6063062.496512e-08
0.4861021.6062082.473048e-08
0.4867841.606112.449551e-08
0.4874671.6060132.426021e-08
0.4881521.6059162.402458e-08
0.4888371.6058192.378862e-08
0.4895231.6057222.355233e-08
0.490211.6056262.331571e-08
0.4908981.6055312.307875e-08
0.4915871.6054352.284146e-08
0.4922771.605342.260384e-08
0.4929681.6052452.236589e-08
0.493661.6051512.212760e-08
0.4943531.6050572.188897e-08
0.4950461.6049632.165002e-08
0.4957411.6048692.141072e-08
0.4964371.6047762.117109e-08
0.4971341.6046832.093113e-08
0.4978321.6045912.069083e-08
0.498531.6044982.045019e-08
0.499231.6044062.020921e-08
0.4999311.6043151.996789e-08
0.51.6043061.994400e-08
0.5006321.6042231.980260e-08
0.5013351.6041321.964546e-08
0.5020391.6040421.948810e-08
0.5027431.6039511.933053e-08
0.5034491.6038611.917273e-08
0.5041551.6037711.901470e-08
0.5048631.6036821.885646e-08
0.5055721.6035921.869800e-08
0.5062811.6035041.853931e-08
0.5069921.6034151.838040e-08
0.5077031.6033271.822127e-08
0.5084161.6032381.806191e-08
0.509131.6031511.790233e-08
0.5098441.6030631.774253e-08
0.510561.6029761.758250e-08
0.5112761.6028891.742225e-08
0.5119941.6028031.726177e-08
0.5127121.6027161.710106e-08
0.5134321.602631.694014e-08
0.5141531.6025441.677898e-08
0.5148741.6024591.661760e-08
0.5155971.6023741.645599e-08
0.5163211.6022891.629416e-08
0.5170451.6022041.613210e-08
0.5177711.602121.596981e-08
0.5184981.6020361.580729e-08
0.5192251.6019521.564455e-08
0.5199541.6018681.548158e-08
0.5206841.6017851.531837e-08
0.5214151.6017021.515494e-08
0.5221471.6016191.499128e-08
0.5228791.6015371.482739e-08
0.5236131.6014551.466327e-08
0.5243481.6013731.449892e-08
0.5250841.6012911.433434e-08
0.5258211.601211.416953e-08
0.5265591.6011281.400449e-08
0.5272981.6010471.383921e-08
0.5280381.6009671.367371e-08
0.5287791.6008861.350797e-08
0.5295211.6008061.334200e-08
0.5302651.6007261.317579e-08
0.5310091.6006471.300935e-08
0.5317541.6005681.284268e-08
0.5325011.6004881.267578e-08
0.5332481.600411.250864e-08
0.5339961.6003311.234126e-08
0.5347461.6002531.217365e-08
0.5354961.6001751.200581e-08
0.5362481.6000971.183773e-08
0.5370011.6000191.166941e-08
0.5377541.5999421.150086e-08
0.5385091.5998651.133207e-08
0.5392651.5997881.116305e-08
0.5400221.5997111.099378e-08
0.540781.5996351.082428e-08
0.5415391.5995591.065454e-08
0.5422991.5994831.048457e-08
0.543061.5994071.031435e-08
0.5438221.5993311.014390e-08
0.5445851.5992569.973206e-09
0.545351.5991819.802273e-09
0.5461151.5991079.631100e-09
0.5468821.5990329.459687e-09
0.5476491.5989589.288034e-09
0.5484181.5988849.116139e-09
0.5491871.598818.944004e-09
0.5499581.5987368.771626e-09
0.551.5987328.762300e-09
0.550731.5986638.704100e-09
0.5515031.598598.642490e-09
0.5522771.5985178.580794e-09
0.5530521.5984448.519011e-09
0.5538291.5983728.457141e-09
0.5546061.59838.395184e-09
0.5553841.5982288.333140e-09
0.5561641.5981568.271010e-09
0.5569441.5980848.208792e-09
0.5577261.5980138.146487e-09
0.5585091.5979428.084094e-09
0.5592931.5978718.021614e-09
0.5600781.59787.959046e-09
0.5608641.597737.896390e-09
0.5616511.597667.833646e-09
0.5624391.597597.770815e-09
0.5632291.597527.707895e-09
0.5640191.597457.644886e-09
0.5648111.5973817.581790e-09
0.5656041.5973117.518604e-09
0.5663971.5972437.455331e-09
0.5671921.5971747.391968e-09
0.5679881.5971057.328516e-09
0.5687861.5970377.264975e-09
0.5695841.5969697.201346e-09
0.5703831.5969017.137626e-09
0.5711841.5968337.073818e-09
0.5719861.5967657.009919e-09
0.5727881.5966986.945932e-09
0.5735921.5966316.881854e-09
0.5743971.5965646.817686e-09
0.5752041.5964976.753429e-09
0.5760111.5964316.689081e-09
0.5768191.5963646.624643e-09
0.5776291.5962986.560114e-09
0.578441.5962326.495495e-09
0.5792511.5961676.430785e-09
0.5800641.5961016.365984e-09
0.5808791.5960366.301092e-09
0.5816941.5959716.236110e-09
0.582511.5959066.171036e-09
0.5833281.5958416.105870e-09
0.5841471.5957766.040614e-09
0.5849661.5957125.975265e-09
0.5857871.5956485.909825e-09
0.586611.5955845.844293e-09
0.5874331.595525.778670e-09
0.5882571.5954565.712954e-09
0.5890831.5953935.647145e-09
0.589911.595335.581245e-09
0.5907381.5952675.515252e-09
0.5915671.5952045.449166e-09
0.5923971.5951415.382988e-09
0.5932291.5950795.316716e-09
0.5940611.5950165.250352e-09
0.5948951.5949545.183894e-09
0.595731.5948925.117344e-09
0.5965661.594835.050700e-09
0.5974031.5947694.983962e-09
0.5982421.5947074.917130e-09
0.5990821.5946464.850205e-09
0.5999221.5945854.783186e-09
0.61.5945794.777000e-09
0.6007641.5945244.941559e-09
0.6016081.5944635.123081e-09
0.6024521.5944035.304858e-09
0.6032981.5943435.486890e-09
0.6041441.5942825.669178e-09
0.6049921.5942225.851721e-09
0.6058411.5941626.034521e-09
0.6066921.5941036.217577e-09
0.6075431.5940436.400890e-09
0.6083961.5939846.584460e-09
0.609251.5939256.768288e-09
0.6101051.5938666.952374e-09
0.6109611.5938077.136719e-09
0.6118191.5937487.321322e-09
0.6126771.593697.506184e-09
0.6135371.5936327.691305e-09
0.6143981.5935747.876687e-09
0.6152611.5935168.062329e-09
0.6161241.5934588.248231e-09
0.6169891.59348.434394e-09
0.6178551.5933438.620818e-09
0.6187221.5932858.807504e-09
0.6195911.5932288.994452e-09
0.620461.5931719.181663e-09
0.6213311.5931149.369136e-09
0.6222031.5930589.556872e-09
0.6230761.5930019.744872e-09
0.6239511.5929459.933136e-09
0.6248271.5928891.012166e-08
0.6257041.5928331.031046e-08
0.6265821.5927771.049951e-08
0.6274611.5927211.068884e-08
0.6283421.5926661.087843e-08
0.6292241.592611.106828e-08
0.6301071.5925551.125840e-08
0.6309911.59251.144879e-08
0.6318771.5924451.163944e-08
0.6327641.592391.183037e-08
0.6336521.5923361.202156e-08
0.6345411.5922811.221302e-08
0.6354321.5922271.240474e-08
0.6363241.5921731.259674e-08
0.6372171.5921191.278901e-08
0.6381111.5920651.298154e-08
0.6390071.5920111.317435e-08
0.6399041.5919581.336743e-08
0.6408021.5919041.356078e-08
0.6417011.5918511.375440e-08
0.6426021.5917981.394829e-08
0.6435041.5917451.414245e-08
0.6444071.5916921.433689e-08
0.6453111.5916391.453159e-08
0.6462171.5915871.472658e-08
0.6471241.5915341.492183e-08
0.6480321.5914821.511736e-08
0.6489421.591431.531317e-08
0.6498521.5913781.550925e-08
0.651.591371.554100e-08
0.6507651.5913261.538858e-08
0.6516781.5912751.520649e-08
0.6525931.5912231.502415e-08
0.6535091.5911721.484155e-08
0.6544261.5911211.465870e-08
0.6553441.591071.447559e-08
0.6562641.5910191.429222e-08
0.6571851.5909681.410860e-08
0.6581081.5909171.392472e-08
0.6590311.5908671.374058e-08
0.6599561.5908161.355618e-08
0.6608821.5907661.337152e-08
0.661811.5907161.318661e-08
0.6627391.5906661.300143e-08
0.6636691.5906161.281599e-08
0.6646011.5905661.263030e-08
0.6655331.5905171.244434e-08
0.6664671.5904671.225812e-08
0.6674031.5904181.207165e-08
0.668341.5903691.188490e-08
0.6692781.590321.169790e-08
0.6702171.5902711.151064e-08
0.6711581.5902221.132311e-08
0.67211.5901741.113532e-08
0.6730431.5901251.094726e-08
0.6739881.5900771.075894e-08
0.6749331.5900281.057036e-08
0.6758811.589981.038151e-08
0.6768291.5899321.019240e-08
0.6777791.5898851.000302e-08
0.6787311.5898379.813377e-09
0.6796831.5897899.623467e-09
0.6806371.5897429.433290e-09
0.6815921.5896949.242847e-09
0.6825491.5896479.052136e-09
0.6835071.58968.861157e-09
0.6844661.5895538.669910e-09
0.6854271.5895068.478395e-09
0.6863891.589468.286611e-09
0.6873521.5894138.094558e-09
0.6883171.5893677.902235e-09
0.6892831.589327.709643e-09
0.6902511.5892747.516780e-09
0.6912191.5892287.323646e-09
0.692191.5891827.130242e-09
0.6931611.5891366.936565e-09
0.6941341.5890916.742618e-09
0.6951081.5890456.548397e-09
0.6960841.5896.353905e-09
0.6970611.5889546.159139e-09
0.6980391.5889095.964100e-09
0.6990191.5888645.768787e-09
0.71.5888195.573200e-09

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
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Reflectance R
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Fresnel reflection calculator

Direction
Rp
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Rs
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R = (Rp+Rs)/2
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Phase φp
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Phase φs
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Brewster angle θB
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Critical angle θC
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