Optical constants

Refractive index of E-LASFH17 (HIKARI)

E-LASFH17: 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
2.00068
Extinction coefficient k
7.14442e-08
Permittivity ε1
4.00273
Permittivity ε2
2.85874e-07
Absorption coefficient α
0.015279 cm⁻¹
Penetration depth δ = λ/(2πk)
1.30899e+09 nm
Abbe number Vd
25.454
Chromatic dispersion dn/dλ
-0.196816 µm⁻¹
Group index ng
2.11633
Group velocity dispersion
406.377 fs²/mm
Dispersion parameter D
-2217 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-LASFH17 (HIKARI): E-LASFH17
hikari_e_lasfh17 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LASFH17", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lasfh17.range_nm)  # (400, 700) nm
eps = hikari_e_lasfh17.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=3.81220648−0.0171101271⁢λ2.0+0.0575348609⁢λ−2.0+0.00395166224⁢λ−4.0−0.000247712063⁢λ−6.0+3.77234212×10-5⁢λ−8.0+0.000103512503⁢λ4.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.81220648
C2-0.0171101271
C32.0
C40.0575348609
C5-2.0
C60.00395166224
C7-4.0
C8-0.000247712063
C9-6.0
C103.77234212e-05
C11-8.0
C120.000103512503
C134.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
2.000690
Vd
25.454379
glass status
preferred
density
value: 4680
thermal expansion
value: 8.1e-06, temperature range: 243 343
dPgF
0.0131

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-LASFH17 (HIKARI), E-LASFH17: n and k versus wavelength
λ (µm)nk
0.42.0785842.081500e-06
0.4005612.0780992.048819e-06
0.4011242.0776172.016091e-06
0.4016872.0771381.983318e-06
0.402252.076661.950499e-06
0.4028152.0761851.917633e-06
0.403382.0757131.884722e-06
0.4039462.0752431.851764e-06
0.4045132.0747751.818760e-06
0.4050812.0743091.785710e-06
0.405652.0738461.752613e-06
0.4062192.0733851.719470e-06
0.4067892.0729261.686281e-06
0.407362.072471.653045e-06
0.4079322.0720151.619762e-06
0.4085042.0715631.586432e-06
0.4090782.0711131.553056e-06
0.4096522.0706661.519633e-06
0.4102272.070221.486163e-06
0.4108032.0697771.452646e-06
0.4113792.0693351.419082e-06
0.4119572.0688961.385470e-06
0.4125352.0684591.351812e-06
0.4131142.0680241.318106e-06
0.4136942.0675911.284353e-06
0.4142742.0671611.250553e-06
0.4148562.0667321.216705e-06
0.4154382.0663051.182810e-06
0.4160212.0658811.148867e-06
0.4166052.0654581.114877e-06
0.417192.0650371.080839e-06
0.4177752.0646181.046753e-06
0.4183622.0642021.012619e-06
0.4189492.0637879.784373e-07
0.4195372.0633749.442077e-07
0.422.0630519.172400e-07
0.4201262.0629639.145425e-07
0.4207152.0625549.018757e-07
0.4213062.0621478.891912e-07
0.4218972.0617428.764889e-07
0.4224892.0613398.637687e-07
0.4230822.0609378.510307e-07
0.4236762.0605388.382748e-07
0.4242712.060148.255010e-07
0.4248662.0597448.127093e-07
0.4254622.059357.998996e-07
0.426062.0589577.870719e-07
0.4266582.0585677.742263e-07
0.4272562.0581787.613626e-07
0.4278562.0577917.484808e-07
0.4284572.0574067.355810e-07
0.4290582.0570227.226631e-07
0.429662.0566417.097270e-07
0.4302632.0562616.967728e-07
0.4308672.0558826.838004e-07
0.4314722.0555066.708098e-07
0.4320772.0551316.578009e-07
0.4326842.0547576.447738e-07
0.4332912.0543866.317284e-07
0.4338992.0540166.186647e-07
0.4345082.0536486.055827e-07
0.4351182.0532815.924823e-07
0.4357292.0529165.793635e-07
0.436342.0525535.662264e-07
0.4369532.0521915.530707e-07
0.4375662.0518315.398966e-07
0.438182.0514725.267041e-07
0.4387952.0511155.134930e-07
0.4394112.050765.002633e-07
0.442.0504224.876100e-07
0.4400282.0504064.873795e-07
0.4406452.0500534.822399e-07
0.4412642.0497034.770931e-07
0.4418832.0493534.719391e-07
0.4425032.0490054.667778e-07
0.4431242.0486594.616093e-07
0.4437462.0483144.564335e-07
0.4443692.0479714.512505e-07
0.4449932.0476294.460602e-07
0.4456172.0472894.408626e-07
0.4462432.046954.356577e-07
0.4468692.0466134.304455e-07
0.4474962.0462774.252260e-07
0.4481242.0459424.199992e-07
0.4487532.0456094.147650e-07
0.4493832.0452784.095235e-07
0.4500142.0449474.042746e-07
0.4506452.0446183.990184e-07
0.4512782.0442913.937547e-07
0.4519112.0439653.884837e-07
0.4525462.043643.832053e-07
0.4531812.0433173.779195e-07
0.4538172.0429953.726263e-07
0.4544542.0426743.673256e-07
0.4550922.0423553.620175e-07
0.455732.0420373.567020e-07
0.456372.041723.513790e-07
0.4570112.0414053.460485e-07
0.4576522.0410913.407105e-07
0.4582942.0407783.353651e-07
0.4589382.0404673.300121e-07
0.4595822.0401573.246516e-07
0.462.0399573.211700e-07
0.4602272.0398483.200708e-07
0.4608732.0395413.169383e-07
0.4615192.0392343.138014e-07
0.4621672.0389293.106601e-07
0.4628162.0386263.075144e-07
0.4634652.0383233.043643e-07
0.4641162.0380223.012097e-07
0.4647672.0377222.980508e-07
0.465422.0374232.948873e-07
0.4660732.0371262.917195e-07
0.4667272.0368292.885472e-07
0.4673822.0365342.853705e-07
0.4680382.036242.821893e-07
0.4686952.0359472.790036e-07
0.4693532.0356562.758135e-07
0.4700122.0353652.726189e-07
0.4706712.0350762.694198e-07
0.4713322.0347882.662162e-07
0.4719932.0345012.630081e-07
0.4726562.0342152.597955e-07
0.4733192.0339312.565784e-07
0.4739842.0336472.533568e-07
0.4746492.0333652.501307e-07
0.4753152.0330842.469000e-07
0.4759822.0328042.436648e-07
0.476652.0325252.404251e-07
0.4773192.0322472.371808e-07
0.4779892.031972.339320e-07
0.478662.0316942.306786e-07
0.4793322.031422.274206e-07
0.482.0311482.241800e-07
0.4800052.0311462.241670e-07
0.4806782.0308742.222264e-07
0.4813532.0306022.202831e-07
0.4820282.0303322.183370e-07
0.4827052.0300632.163883e-07
0.4833822.0297952.144368e-07
0.4840612.0295282.124825e-07
0.484742.0292612.105255e-07
0.4854212.0289962.085658e-07
0.4861022.0287322.066033e-07
0.4867842.0284692.046380e-07
0.4874672.0282072.026700e-07
0.4881522.0279462.006993e-07
0.4888372.0276871.987257e-07
0.4895232.0274281.967494e-07
0.490212.027171.947703e-07
0.4908982.0269131.927885e-07
0.4915872.0266571.908039e-07
0.4922772.0264021.888164e-07
0.4929682.0261481.868262e-07
0.493662.0258951.848332e-07
0.4943532.0256431.828374e-07
0.4950462.0253921.808388e-07
0.4957412.0251421.788374e-07
0.4964372.0248921.768332e-07
0.4971342.0246441.748262e-07
0.4978322.0243971.728163e-07
0.498532.0241511.708037e-07
0.499232.0239051.687882e-07
0.4999312.0236611.667698e-07
0.52.0236371.665700e-07
0.5006322.0234171.655253e-07
0.5013352.0231751.643644e-07
0.5020392.0229331.632018e-07
0.5027432.0226921.620376e-07
0.5034492.0224521.608718e-07
0.5041552.0222131.597043e-07
0.5048632.0219751.585352e-07
0.5055722.0217381.573645e-07
0.5062812.0215021.561921e-07
0.5069922.0212661.550180e-07
0.5077032.0210321.538424e-07
0.5084162.0207981.526650e-07
0.509132.0205651.514860e-07
0.5098442.0203331.503054e-07
0.510562.0201021.491231e-07
0.5112762.0198721.479391e-07
0.5119942.0196431.467535e-07
0.5127122.0194141.455662e-07
0.5134322.0191861.443773e-07
0.5141532.018961.431867e-07
0.5148742.0187341.419944e-07
0.5155972.0185081.408004e-07
0.5163212.0182841.396048e-07
0.5170452.0180611.384075e-07
0.5177712.0178381.372085e-07
0.5184982.0176161.360078e-07
0.5192252.0173951.348054e-07
0.5199542.0171751.336014e-07
0.5206842.0169551.323956e-07
0.5214152.0167371.311882e-07
0.5221472.0165191.299791e-07
0.5228792.0163021.287682e-07
0.5236132.0160851.275557e-07
0.5243482.015871.263415e-07
0.5250842.0156551.251255e-07
0.5258212.0154411.239079e-07
0.5265592.0152281.226886e-07
0.5272982.0150161.214675e-07
0.5280382.0148041.202447e-07
0.5287792.0145931.190202e-07
0.5295212.0143831.177940e-07
0.5302652.0141741.165661e-07
0.5310092.0139651.153365e-07
0.5317542.0137571.141051e-07
0.5325012.013551.128720e-07
0.5332482.0133441.116371e-07
0.5339962.0131381.104006e-07
0.5347462.0129331.091623e-07
0.5354962.0127291.079222e-07
0.5362482.0125261.066804e-07
0.5370012.0123231.054369e-07
0.5377542.0121211.041916e-07
0.5385092.011921.029446e-07
0.5392652.0117191.016958e-07
0.5400222.011521.004453e-07
0.540782.011329.919304e-08
0.5415392.0111229.793900e-08
0.5422992.0109249.668321e-08
0.543062.0107279.542565e-08
0.5438222.0105319.416633e-08
0.5445852.0103359.290524e-08
0.545352.010149.164238e-08
0.5461152.0099469.037774e-08
0.5468822.0097528.911133e-08
0.5476492.009568.784315e-08
0.5484182.0093678.657318e-08
0.5491872.0091768.530144e-08
0.5499582.0089858.402790e-08
0.552.0089758.395900e-08
0.550732.0087958.371597e-08
0.5515032.0086058.345869e-08
0.5522772.0084168.320106e-08
0.5530522.0082288.294306e-08
0.5538292.008048.268470e-08
0.5546062.0078538.242598e-08
0.5553842.0076678.216690e-08
0.5561642.0074818.190745e-08
0.5569442.0072968.164764e-08
0.5577262.0071128.138746e-08
0.5585092.0069288.112692e-08
0.5592932.0067458.086601e-08
0.5600782.0065638.060473e-08
0.5608642.0063818.034309e-08
0.5616512.00628.008109e-08
0.5624392.0060197.981871e-08
0.5632292.0058397.955597e-08
0.5640192.005667.929285e-08
0.5648112.0054817.902937e-08
0.5656042.0053037.876552e-08
0.5663972.0051267.850130e-08
0.5671922.0049497.823670e-08
0.5679882.0047727.797174e-08
0.5687862.0045977.770640e-08
0.5695842.0044227.744069e-08
0.5703832.0042477.717461e-08
0.5711842.0040737.690816e-08
0.5719862.00397.664133e-08
0.5727882.0037277.637412e-08
0.5735922.0035557.610655e-08
0.5743972.0033837.583859e-08
0.5752042.0032127.557026e-08
0.5760112.0030427.530156e-08
0.5768192.0028727.503247e-08
0.5776292.0027037.476301e-08
0.578442.0025347.449317e-08
0.5792512.0023667.422295e-08
0.5800642.0021987.395235e-08
0.5808792.0020317.368138e-08
0.5816942.0018657.341002e-08
0.582512.0016997.313828e-08
0.5833282.0015347.286616e-08
0.5841472.0013697.259366e-08
0.5849662.0012057.232077e-08
0.5857872.0010417.204750e-08
0.586612.0008787.177385e-08
0.5874332.0007157.149982e-08
0.5882572.0005537.122540e-08
0.5890832.0003927.095059e-08
0.589912.0002317.067540e-08
0.5907382.000077.039983e-08
0.5915671.9999117.012386e-08
0.5923971.9997516.984751e-08
0.5932291.9995926.957077e-08
0.5940611.9994346.929364e-08
0.5948951.9992766.901613e-08
0.595731.9991196.873822e-08
0.5965661.9989626.845993e-08
0.5974031.9988066.818124e-08
0.5982421.998656.790216e-08
0.5990821.9984956.762269e-08
0.5999221.998346.734283e-08
0.61.9983266.731700e-08
0.6007641.9981866.724253e-08
0.6016081.9980326.716039e-08
0.6024521.9978796.707813e-08
0.6032981.9977276.699576e-08
0.6041441.9975746.691327e-08
0.6049921.9974236.683066e-08
0.6058411.9972726.674794e-08
0.6066921.9971216.666510e-08
0.6075431.9969716.658215e-08
0.6083961.9968216.649908e-08
0.609251.9966726.641589e-08
0.6101051.9965236.633258e-08
0.6109611.9963756.624916e-08
0.6118191.9962276.616563e-08
0.6126771.996086.608197e-08
0.6135371.9959336.599820e-08
0.6143981.9957866.591431e-08
0.6152611.995646.583030e-08
0.6161241.9954956.574617e-08
0.6169891.995356.566193e-08
0.6178551.9952066.557757e-08
0.6187221.9950626.549309e-08
0.6195911.9949186.540849e-08
0.620461.9947756.532377e-08
0.6213311.9946326.523893e-08
0.6222031.994496.515398e-08
0.6230761.9943486.506890e-08
0.6239511.9942076.498371e-08
0.6248271.9940666.489840e-08
0.6257041.9939266.481296e-08
0.6265821.9937866.472741e-08
0.6274611.9936476.464173e-08
0.6283421.9935086.455594e-08
0.6292241.9933696.447003e-08
0.6301071.9932316.438399e-08
0.6309911.9930936.429784e-08
0.6318771.9929566.421156e-08
0.6327641.9928196.412516e-08
0.6336521.9926836.403864e-08
0.6345411.9925476.395200e-08
0.6354321.9924116.386524e-08
0.6363241.9922766.377836e-08
0.6372171.9921416.369135e-08
0.6381111.9920076.360422e-08
0.6390071.9918736.351697e-08
0.6399041.991746.342960e-08
0.6408021.9916076.334210e-08
0.6417011.9914746.325449e-08
0.6426021.9913426.316675e-08
0.6435041.991216.307888e-08
0.6444071.9910796.299089e-08
0.6453111.9909486.290278e-08
0.6462171.9908186.281455e-08
0.6471241.9906886.272619e-08
0.6480321.9905586.263771e-08
0.6489421.9904296.254910e-08
0.6498521.99036.246037e-08
0.651.9902796.244600e-08
0.6507651.9901716.226120e-08
0.6516781.9900436.204044e-08
0.6525931.9899156.181937e-08
0.6535091.9897886.159799e-08
0.6544261.9896616.137630e-08
0.6553441.9895356.115429e-08
0.6562641.9894096.093198e-08
0.6571851.9892836.070935e-08
0.6581081.9891576.048641e-08
0.6590311.9890336.026316e-08
0.6599561.9889086.003960e-08
0.6608821.9887845.981572e-08
0.661811.988665.959152e-08
0.6627391.9885375.936702e-08
0.6636691.9884145.914219e-08
0.6646011.9882915.891705e-08
0.6655331.9881695.869160e-08
0.6664671.9880475.846583e-08
0.6674031.9879255.823974e-08
0.668341.9878045.801334e-08
0.6692781.9876835.778661e-08
0.6702171.9875635.755957e-08
0.6711581.9874435.733221e-08
0.67211.9873235.710453e-08
0.6730431.9872045.687653e-08
0.6739881.9870855.664822e-08
0.6749331.9869665.641958e-08
0.6758811.9868485.619062e-08
0.6768291.986735.596134e-08
0.6777791.9866125.573173e-08
0.6787311.9864955.550181e-08
0.6796831.9863785.527156e-08
0.6806371.9862625.504099e-08
0.6815921.9861465.481009e-08
0.6825491.986035.457888e-08
0.6835071.9859155.434733e-08
0.6844661.9857995.411546e-08
0.6854271.9856855.388327e-08
0.6863891.985575.365075e-08
0.6873521.9854565.341790e-08
0.6883171.9853435.318473e-08
0.6892831.9852295.295123e-08
0.6902511.9851165.271740e-08
0.6912191.9850035.248325e-08
0.692191.9848915.224876e-08
0.6931611.9847795.201395e-08
0.6941341.9846675.177881e-08
0.6951081.9845565.154333e-08
0.6960841.9844455.130753e-08
0.6970611.9843345.107139e-08
0.6980391.9842245.083493e-08
0.6990191.9841145.059813e-08
0.71.9840045.036100e-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
—