Optical constants

Refractive index of E-LASFH15 (HIKARI)

E-LASFH15: 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
1.94999
Extinction coefficient k
3.61311e-08
Permittivity ε1
3.80248
Permittivity ε2
1.40911e-07
Absorption coefficient α
0.00772697 cm⁻¹
Penetration depth δ = λ/(2πk)
2.58834e+09 nm
Abbe number Vd
29.365
Chromatic dispersion dn/dλ
-0.162884 µm⁻¹
Group index ng
2.0457
Group velocity dispersion
328.149 fs²/mm
Dispersion parameter D
-1790.23 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-LASFH15 (HIKARI): E-LASFH15
hikari_e_lasfh15 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LASFH15", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lasfh15.range_nm)  # (400, 700) nm
eps = hikari_e_lasfh15.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=3.64564579−0.0149009227⁢λ2.0+0.0493219809⁢λ−2.0+0.00239217482⁢λ−4.0−9.28226213×10-5⁢λ−6.0+1.87217041×10-5⁢λ−8.0−2.00969759×10-5⁢λ4.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.64564579
C2-0.0149009227
C32.0
C40.0493219809
C5-2.0
C60.00239217482
C7-4.0
C8-9.28226213e-05
C9-6.0
C101.87217041e-05
C11-8.0
C12-2.00969759e-05
C134.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.950000
Vd
29.365360
glass status
preferred
density
value: 4780
thermal expansion
value: 8.6e-06, temperature range: 243 343
dPgF
0.0058

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-LASFH15 (HIKARI), E-LASFH15: n and k versus wavelength
λ (µm)nk
0.42.0126781.045700e-06
0.4005612.01231.030497e-06
0.4011242.0119241.015272e-06
0.4016872.0115491.000026e-06
0.402252.0111769.847586e-07
0.4028152.0108059.694697e-07
0.403382.0104359.541594e-07
0.4039462.0100689.388276e-07
0.4045132.0097019.234743e-07
0.4050812.0093379.080995e-07
0.405652.0089748.927030e-07
0.4062192.0086138.772850e-07
0.4067892.0082538.618453e-07
0.407362.0078968.463839e-07
0.4079322.0075398.309008e-07
0.4085042.0071848.153961e-07
0.4090782.0068317.998695e-07
0.4096522.006487.843211e-07
0.4102272.006137.687510e-07
0.4108032.0057817.531590e-07
0.4113792.0054357.375451e-07
0.4119572.0050897.219092e-07
0.4125352.0047457.062515e-07
0.4131142.0044036.905717e-07
0.4136942.0040626.748700e-07
0.4142742.0037236.591462e-07
0.4148562.0033856.434003e-07
0.4154382.0030496.276324e-07
0.4160212.0027146.118423e-07
0.4166052.0023815.960300e-07
0.417192.0020495.801956e-07
0.4177752.0017195.643389e-07
0.4183622.001395.484600e-07
0.4189492.0010625.325588e-07
0.4195372.0007365.166353e-07
0.422.000485.040900e-07
0.4201262.0004115.026865e-07
0.4207152.0000884.960958e-07
0.4213061.9997664.894960e-07
0.4218971.9994454.828869e-07
0.4224891.9991264.762684e-07
0.4230821.9988084.696408e-07
0.4236761.9984924.630038e-07
0.4242711.9981774.563574e-07
0.4248661.9978634.497018e-07
0.4254621.9975514.430368e-07
0.426061.997244.363625e-07
0.4266581.996934.296788e-07
0.4272561.9966224.229857e-07
0.4278561.9963144.162832e-07
0.4284571.9960094.095713e-07
0.4290581.9957044.028500e-07
0.429661.9954013.961193e-07
0.4302631.9950993.893791e-07
0.4308671.9947983.826295e-07
0.4314721.9944993.758703e-07
0.4320771.99423.691017e-07
0.4326841.9939043.623236e-07
0.4332911.9936083.555360e-07
0.4338991.9933133.487389e-07
0.4345081.993023.419322e-07
0.4351181.9927283.351159e-07
0.4357291.9924373.282901e-07
0.436341.9921483.214547e-07
0.4369531.9918593.146098e-07
0.4375661.9915723.077552e-07
0.438181.9912863.008910e-07
0.4387951.9910012.940171e-07
0.4394111.9907172.871336e-07
0.441.9904472.805500e-07
0.4400281.9904352.804215e-07
0.4406451.9901532.775562e-07
0.4412641.9898732.746869e-07
0.4418831.9895942.718135e-07
0.4425031.9893162.689361e-07
0.4431241.9890392.660547e-07
0.4437461.9887642.631692e-07
0.4443691.9884892.602796e-07
0.4449931.9882162.573861e-07
0.4456171.9879432.544884e-07
0.4462431.9876722.515867e-07
0.4468691.9874022.486809e-07
0.4474961.9871332.457710e-07
0.4481241.9868652.428571e-07
0.4487531.9865982.399390e-07
0.4493831.9863322.370169e-07
0.4500141.9860672.340907e-07
0.4506451.9858032.311603e-07
0.4512781.9855412.282259e-07
0.4519111.9852792.252873e-07
0.4525461.9850182.223446e-07
0.4531811.9847592.193978e-07
0.4538171.98452.164468e-07
0.4544541.9842432.134917e-07
0.4550921.9839862.105324e-07
0.455731.9837312.075690e-07
0.456371.9834762.046014e-07
0.4570111.9832232.016297e-07
0.4576521.982971.986538e-07
0.4582941.9827191.956737e-07
0.4589381.9824681.926895e-07
0.4595821.9822191.897010e-07
0.461.9820571.877600e-07
0.4602271.981971.871295e-07
0.4608731.9817221.853328e-07
0.4615191.9814761.835336e-07
0.4621671.981231.817319e-07
0.4628161.9809851.799276e-07
0.4634651.9807421.781208e-07
0.4641161.9804991.763115e-07
0.4647671.9802571.744996e-07
0.465421.9800161.726852e-07
0.4660731.9797761.708683e-07
0.4667271.9795371.690487e-07
0.4673821.9792991.672267e-07
0.4680381.9790611.654021e-07
0.4686951.9788251.635749e-07
0.4693531.978591.617451e-07
0.4700121.9783551.599128e-07
0.4706711.9781211.580779e-07
0.4713321.9778891.562405e-07
0.4719931.9776571.544004e-07
0.4726561.9774261.525578e-07
0.4733191.9771961.507126e-07
0.4739841.9769661.488648e-07
0.4746491.9767381.470144e-07
0.4753151.9765111.451614e-07
0.4759821.9762841.433058e-07
0.476651.9760581.414476e-07
0.4773191.9758331.395868e-07
0.4779891.9756091.377234e-07
0.478661.9753861.358574e-07
0.4793321.9751631.339887e-07
0.481.9749431.321300e-07
0.4800051.9749421.321211e-07
0.4806781.9747211.307889e-07
0.4813531.9745011.294549e-07
0.4820281.9742821.281190e-07
0.4827051.9740641.267813e-07
0.4833821.9738461.254416e-07
0.4840611.973631.241001e-07
0.484741.9734141.227567e-07
0.4854211.9731991.214114e-07
0.4861021.9729841.200643e-07
0.4867841.9727711.187152e-07
0.4874671.9725581.173642e-07
0.4881521.9723461.160114e-07
0.4888371.9721351.146566e-07
0.4895231.9719251.133000e-07
0.490211.9717151.119414e-07
0.4908981.9715061.105810e-07
0.4915871.9712981.092186e-07
0.4922771.9710911.078543e-07
0.4929681.9708851.064881e-07
0.493661.9706791.051200e-07
0.4943531.9704741.037499e-07
0.4950461.970271.023780e-07
0.4957411.9700661.010041e-07
0.4964371.9698639.962828e-08
0.4971341.9696619.825053e-08
0.4978321.969469.687085e-08
0.498531.9692599.548924e-08
0.499231.969069.410568e-08
0.4999311.968869.272018e-08
0.51.9688419.258300e-08
0.5006321.9686629.196848e-08
0.5013351.9684649.128557e-08
0.5020391.9682679.060170e-08
0.5027431.9680718.991688e-08
0.5034491.9678768.923109e-08
0.5041551.9676818.854434e-08
0.5048631.9674878.785663e-08
0.5055721.9672938.716795e-08
0.5062811.96718.647830e-08
0.5069921.9669088.578769e-08
0.5077031.9667178.509610e-08
0.5084161.9665268.440355e-08
0.509131.9663368.371003e-08
0.5098441.9661478.301553e-08
0.510561.9659588.232005e-08
0.5112761.965778.162360e-08
0.5119941.9655838.092618e-08
0.5127121.9653968.022777e-08
0.5134321.965217.952838e-08
0.5141531.9650257.882802e-08
0.5148741.964847.812667e-08
0.5155971.9646567.742433e-08
0.5163211.9644727.672101e-08
0.5170451.964297.601670e-08
0.5177711.9641087.531140e-08
0.5184981.9639267.460512e-08
0.5192251.9637457.389784e-08
0.5199541.9635657.318957e-08
0.5206841.9633857.248031e-08
0.5214151.9632077.177005e-08
0.5221471.9630287.105879e-08
0.5228791.9628517.034653e-08
0.5236131.9626736.963328e-08
0.5243481.9624976.891902e-08
0.5250841.9623216.820376e-08
0.5258211.9621466.748750e-08
0.5265591.9619716.677023e-08
0.5272981.9617976.605196e-08
0.5280381.9616246.533268e-08
0.5287791.9614516.461239e-08
0.5295211.9612796.389108e-08
0.5302651.9611076.316877e-08
0.5310091.9609366.244544e-08
0.5317541.9607666.172109e-08
0.5325011.9605966.099573e-08
0.5332481.9604266.026935e-08
0.5339961.9602585.954196e-08
0.5347461.960095.881354e-08
0.5354961.9599225.808409e-08
0.5362481.9597555.735363e-08
0.5370011.9595895.662214e-08
0.5377541.9594235.588962e-08
0.5385091.9592585.515607e-08
0.5392651.9590935.442150e-08
0.5400221.9589295.368589e-08
0.540781.9587655.294925e-08
0.5415391.9586025.221158e-08
0.5422991.958445.147287e-08
0.543061.9582785.073313e-08
0.5438221.9581164.999235e-08
0.5445851.9579564.925052e-08
0.545351.9577954.850766e-08
0.5461151.9576364.776375e-08
0.5468821.9574764.701880e-08
0.5476491.9573184.627281e-08
0.5484181.957164.552576e-08
0.5491871.9570024.477767e-08
0.5499581.9568454.402853e-08
0.551.9568364.398800e-08
0.550731.9566884.383542e-08
0.5515031.9565324.367390e-08
0.5522771.9563774.351216e-08
0.5530521.9562224.335018e-08
0.5538291.9560684.318798e-08
0.5546061.9559144.302556e-08
0.5553841.955764.286290e-08
0.5561641.9556074.270002e-08
0.5569441.9554554.253690e-08
0.5577261.9553034.237356e-08
0.5585091.9551524.220999e-08
0.5592931.9550014.204619e-08
0.5600781.954854.188216e-08
0.5608641.95474.171790e-08
0.5616511.9545514.155341e-08
0.5624391.9544024.138869e-08
0.5632291.9542544.122373e-08
0.5640191.9541064.105855e-08
0.5648111.9539584.089313e-08
0.5656041.9538124.072748e-08
0.5663971.9536654.056160e-08
0.5671921.9535194.039549e-08
0.5679881.9533744.022914e-08
0.5687861.9532294.006256e-08
0.5695841.9530843.989575e-08
0.5703831.952943.972870e-08
0.5711841.9527963.956142e-08
0.5719861.9526533.939390e-08
0.5727881.9525113.922615e-08
0.5735921.9523693.905816e-08
0.5743971.9522273.888993e-08
0.5752041.9520863.872147e-08
0.5760111.9519453.855278e-08
0.5768191.9518043.838384e-08
0.5776291.9516653.821467e-08
0.578441.9515253.804527e-08
0.5792511.9513863.787562e-08
0.5800641.9512483.770574e-08
0.5808791.951113.753561e-08
0.5816941.9509723.736525e-08
0.582511.9508353.719465e-08
0.5833281.9506983.702381e-08
0.5841471.9505623.685273e-08
0.5849661.9504263.668141e-08
0.5857871.9502913.650985e-08
0.586611.9501563.633805e-08
0.5874331.9500213.616601e-08
0.5882571.9498873.599373e-08
0.5890831.9497533.582120e-08
0.589911.949623.564844e-08
0.5907381.9494873.547543e-08
0.5915671.9493553.530217e-08
0.5923971.9492233.512868e-08
0.5932291.9490913.495494e-08
0.5940611.948963.478096e-08
0.5948951.9488293.460673e-08
0.595731.9486993.443226e-08
0.5965661.9485693.425754e-08
0.5974031.948443.408258e-08
0.5982421.9483113.390737e-08
0.5990821.9481823.373192e-08
0.5999221.9480543.355622e-08
0.61.9480423.354000e-08
0.6007641.9479263.366241e-08
0.6016081.9477993.379744e-08
0.6024521.9476723.393266e-08
0.6032981.9475453.406807e-08
0.6041441.9474193.420366e-08
0.6049921.9472933.433945e-08
0.6058411.9471673.447543e-08
0.6066921.9470423.461160e-08
0.6075431.9469183.474796e-08
0.6083961.9467933.488451e-08
0.609251.946673.502126e-08
0.6101051.9465463.515819e-08
0.6109611.9464233.529532e-08
0.6118191.94633.543264e-08
0.6126771.9461783.557015e-08
0.6135371.9460563.570786e-08
0.6143981.9459353.584576e-08
0.6152611.9458133.598385e-08
0.6161241.9456933.612214e-08
0.6169891.9455723.626062e-08
0.6178551.9454523.639930e-08
0.6187221.9453333.653816e-08
0.6195911.9452133.667723e-08
0.620461.9450943.681649e-08
0.6213311.9449763.695595e-08
0.6222031.9448583.709560e-08
0.6230761.944743.723544e-08
0.6239511.9446223.737549e-08
0.6248271.9445053.751573e-08
0.6257041.9443883.765616e-08
0.6265821.9442723.779680e-08
0.6274611.9441563.793763e-08
0.6283421.944043.807866e-08
0.6292241.9439253.821988e-08
0.6301071.943813.836131e-08
0.6309911.9436963.850293e-08
0.6318771.9435813.864476e-08
0.6327641.9434673.878678e-08
0.6336521.9433543.892900e-08
0.6345411.9432413.907142e-08
0.6354321.9431283.921404e-08
0.6363241.9430153.935686e-08
0.6372171.9429033.949988e-08
0.6381111.9427913.964310e-08
0.6390071.942683.978652e-08
0.6399041.9425693.993015e-08
0.6408021.9424584.007397e-08
0.6417011.9423474.021800e-08
0.6426021.9422374.036223e-08
0.6435041.9421284.050666e-08
0.6444071.9420184.065130e-08
0.6453111.9419094.079614e-08
0.6462171.94184.094118e-08
0.6471241.9416924.108642e-08
0.6480321.9415834.123187e-08
0.6489421.9414764.137752e-08
0.6498521.9413684.152338e-08
0.651.9413514.154700e-08
0.6507651.9412614.168178e-08
0.6516781.9411544.184279e-08
0.6525931.9410484.200402e-08
0.6535091.9409414.216548e-08
0.6544261.9408354.232717e-08
0.6553441.940734.248909e-08
0.6562641.9406254.265123e-08
0.6571851.940524.281360e-08
0.6581081.9404154.297619e-08
0.6590311.9403114.313902e-08
0.6599561.9402074.330207e-08
0.6608821.9401034.346535e-08
0.661811.944.362887e-08
0.6627391.9398974.379261e-08
0.6636691.9397944.395658e-08
0.6646011.9396914.412078e-08
0.6655331.9395894.428521e-08
0.6664671.9394874.444987e-08
0.6674031.9393864.461477e-08
0.668341.9392844.477989e-08
0.6692781.9391834.494525e-08
0.6702171.9390834.511084e-08
0.6711581.9389824.527666e-08
0.67211.9388824.544271e-08
0.6730431.9387824.560900e-08
0.6739881.9386834.577552e-08
0.6749331.9385844.594227e-08
0.6758811.9384854.610926e-08
0.6768291.9383864.627649e-08
0.6777791.9382884.644394e-08
0.6787311.938194.661163e-08
0.6796831.9380924.677956e-08
0.6806371.9379954.694773e-08
0.6815921.9378974.711612e-08
0.6825491.93784.728476e-08
0.6835071.9377044.745363e-08
0.6844661.9376084.762274e-08
0.6854271.9375114.779209e-08
0.6863891.9374164.796167e-08
0.6873521.937324.813150e-08
0.6883171.9372254.830156e-08
0.6892831.937134.847186e-08
0.6902511.9370354.864239e-08
0.6912191.9369414.881317e-08
0.692191.9368474.898419e-08
0.6931611.9367534.915545e-08
0.6941341.9366594.932695e-08
0.6951081.9365664.949868e-08
0.6960841.9364734.967066e-08
0.6970611.936384.984289e-08
0.6980391.9362875.001535e-08
0.6990191.9361955.018805e-08
0.71.9361035.036100e-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
—