Optical constants

Refractive index of E-LF5 (HIKARI)

E-LF5: 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
1.58144
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.50094
Permittivity ε2
1.47969e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
40.738
Chromatic dispersion dn/dλ
-0.0726118 µm⁻¹
Group index ng
1.6241
Group velocity dispersion
137.92 fs²/mm
Dispersion parameter D
-752.429 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-LF5 (HIKARI): E-LF5
hikari_e_lf5 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LF5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lf5.range_nm)  # (400, 700) nm
eps = hikari_e_lf5.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=2.44577168−0.0100665627⁢λ2.0+0.0184371468⁢λ−2.0+0.000644165105⁢λ−4.0−1.74180822×10-5⁢λ−6.0+3.77641526×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.44577168
C2-0.0100665627
C32.0
C40.0184371468
C5-2.0
C60.000644165105
C7-4.0
C8-1.74180822e-05
C9-6.0
C103.77641526e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.581439
Vd
40.738479
glass code
581407
glass status
preferred
density
value: 2580
thermal expansion
value: 8.6e-06, temperature range: 243 343
dPgF
0.0014

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-LF5 (HIKARI), E-LF5: n and k versus wavelength
λ (µm)nk
0.41.6081255.781800e-08
0.4005611.607975.628888e-08
0.4011241.6078175.475761e-08
0.4016871.6076635.322420e-08
0.402251.6075115.168863e-08
0.4028151.6073595.015091e-08
0.403381.6072084.861102e-08
0.4039461.6070574.706898e-08
0.4045131.6069074.552477e-08
0.4050811.6067574.397840e-08
0.405651.6066094.242985e-08
0.4062191.606464.087914e-08
0.4067891.6063133.932624e-08
0.407361.6061663.777117e-08
0.4079321.6060193.621391e-08
0.4085041.6058733.465447e-08
0.4090781.6057283.309284e-08
0.4096521.6055833.152901e-08
0.4102271.6054392.996300e-08
0.4108031.6052962.839478e-08
0.4113791.6051532.682436e-08
0.4119571.6050112.525174e-08
0.4125351.6048692.367691e-08
0.4131141.6047272.209988e-08
0.4136941.6045872.052062e-08
0.4142741.6044471.893916e-08
0.4148561.6043071.735547e-08
0.4154381.6041681.576956e-08
0.4160211.604031.418142e-08
0.4166051.6038921.259105e-08
0.417191.6037541.099846e-08
0.4177751.6036189.403623e-09
0.4183621.6034817.806551e-09
0.4189491.6033466.207238e-09
0.4195371.603214.605680e-09
0.421.6031043.343900e-09
0.4201261.6030763.344900e-09
0.4207151.6029413.349597e-09
0.4213061.6028083.354300e-09
0.4218971.6026753.359010e-09
0.4224891.6025423.363726e-09
0.4230821.602413.368449e-09
0.4236761.6022783.373179e-09
0.4242711.6021473.377915e-09
0.4248661.6020173.382658e-09
0.4254621.6018873.387408e-09
0.426061.6017573.392164e-09
0.4266581.6016283.396927e-09
0.4272561.60153.401697e-09
0.4278561.6013723.406473e-09
0.4284571.6012443.411256e-09
0.4290581.6011173.416046e-09
0.429661.600993.420843e-09
0.4302631.6008643.425646e-09
0.4308671.6007393.430456e-09
0.4314721.6006133.435272e-09
0.4320771.6004893.440096e-09
0.4326841.6003643.444926e-09
0.4332911.6002413.449763e-09
0.4338991.6001173.454607e-09
0.4345081.5999953.459458e-09
0.4351181.5998723.464315e-09
0.4357291.599753.469179e-09
0.436341.5996293.474050e-09
0.4369531.5995083.478928e-09
0.4375661.5993883.483813e-09
0.438181.5992673.488705e-09
0.4387951.5991483.493603e-09
0.4394111.5990293.498508e-09
0.441.5989153.503200e-09
0.4400281.598913.503420e-09
0.4406451.5987923.508336e-09
0.4412641.5986743.513259e-09
0.4418831.5985573.518189e-09
0.4425031.598443.523126e-09
0.4431241.5983233.528070e-09
0.4437461.5982073.533020e-09
0.4443691.5980913.537978e-09
0.4449931.5979763.542942e-09
0.4456171.5978613.547914e-09
0.4462431.5977473.552892e-09
0.4468691.5976333.557878e-09
0.4474961.5975193.562870e-09
0.4481241.5974063.567870e-09
0.4487531.5972933.572876e-09
0.4493831.5971813.577890e-09
0.4500141.5970693.582910e-09
0.4506451.5969583.587938e-09
0.4512781.5968473.592973e-09
0.4519111.5967363.598014e-09
0.4525461.5966263.603063e-09
0.4531811.5965163.608119e-09
0.4538171.5964063.613182e-09
0.4544541.5962973.618252e-09
0.4550921.5961893.623329e-09
0.455731.596083.628414e-09
0.456371.5959723.633505e-09
0.4570111.5958653.638604e-09
0.4576521.5957583.643709e-09
0.4582941.5956513.648822e-09
0.4589381.5955453.653943e-09
0.4595821.5954393.659070e-09
0.461.595373.662400e-09
0.4602271.5953333.664204e-09
0.4608731.5952283.669346e-09
0.4615191.5951233.674495e-09
0.4621671.5950193.679651e-09
0.4628161.5949143.684814e-09
0.4634651.5948113.689985e-09
0.4641161.5947073.695163e-09
0.4647671.5946043.700348e-09
0.465421.5945023.705541e-09
0.4660731.5943993.710740e-09
0.4667271.5942983.715947e-09
0.4673821.5941963.721162e-09
0.4680381.5940953.726383e-09
0.4686951.5939943.731612e-09
0.4693531.5938933.736848e-09
0.4700121.5937933.742092e-09
0.4706711.5936943.747343e-09
0.4713321.5935943.752602e-09
0.4719931.5934953.757867e-09
0.4726561.5933963.763140e-09
0.4733191.5932983.768421e-09
0.4739841.59323.773709e-09
0.4746491.5931023.779004e-09
0.4753151.5930053.784307e-09
0.4759821.5929083.789617e-09
0.476651.5928113.794935e-09
0.4773191.5927153.800260e-09
0.4779891.5926193.805593e-09
0.478661.5925233.810933e-09
0.4793321.5924283.816281e-09
0.481.5923333.821600e-09
0.4800051.5923333.821636e-09
0.4806781.5922383.827002e-09
0.4813531.5921443.832376e-09
0.4820281.592053.837757e-09
0.4827051.5919563.843145e-09
0.4833821.5918623.848541e-09
0.4840611.5917693.853945e-09
0.484741.5916773.859357e-09
0.4854211.5915843.864776e-09
0.4861021.5914923.870202e-09
0.4867841.59143.875636e-09
0.4874671.5913093.881078e-09
0.4881521.5912183.886528e-09
0.4888371.5911273.891985e-09
0.4895231.5910363.897450e-09
0.490211.5909463.902922e-09
0.4908981.5908563.908402e-09
0.4915871.5907663.913890e-09
0.4922771.5906773.919385e-09
0.4929681.5905883.924889e-09
0.493661.5904993.930400e-09
0.4943531.5904113.935918e-09
0.4950461.5903223.941445e-09
0.4957411.5902353.946979e-09
0.4964371.5901473.952521e-09
0.4971341.590063.958071e-09
0.4978321.5899733.963628e-09
0.498531.5898863.969193e-09
0.499231.58983.974766e-09
0.4999311.5897143.980347e-09
0.51.5897053.980900e-09
0.5006321.5896283.985934e-09
0.5013351.5895423.991529e-09
0.5020391.5894573.997131e-09
0.5027431.5893724.002741e-09
0.5034491.5892874.008360e-09
0.5041551.5892034.013986e-09
0.5048631.5891194.019619e-09
0.5055721.5890354.025261e-09
0.5062811.5889514.030911e-09
0.5069921.5888684.036569e-09
0.5077031.5887854.042234e-09
0.5084161.5887024.047908e-09
0.509131.588624.053589e-09
0.5098441.5885384.059279e-09
0.510561.5884564.064976e-09
0.5112761.5883744.070682e-09
0.5119941.5882934.076395e-09
0.5127121.5882124.082117e-09
0.5134321.5881314.087846e-09
0.5141531.588054.093584e-09
0.5148741.587974.099329e-09
0.5155971.587894.105083e-09
0.5163211.587814.110845e-09
0.5170451.587734.116614e-09
0.5177711.5876514.122392e-09
0.5184981.5875724.128178e-09
0.5192251.5874934.133973e-09
0.5199541.5874154.139775e-09
0.5206841.5873364.145585e-09
0.5214151.5872584.151404e-09
0.5221471.5871814.157231e-09
0.5228791.5871034.163066e-09
0.5236131.5870264.168909e-09
0.5243481.5869494.174760e-09
0.5250841.5868724.180620e-09
0.5258211.5867964.186487e-09
0.5265591.5867194.192363e-09
0.5272981.5866434.198248e-09
0.5280381.5865684.204140e-09
0.5287791.5864924.210041e-09
0.5295211.5864174.215950e-09
0.5302651.5863424.221867e-09
0.5310091.5862674.227793e-09
0.5317541.5861924.233727e-09
0.5325011.5861184.239669e-09
0.5332481.5860444.245620e-09
0.5339961.585974.251579e-09
0.5347461.5858964.257546e-09
0.5354961.5858234.263522e-09
0.5362481.585754.269506e-09
0.5370011.5856774.275499e-09
0.5377541.5856044.281500e-09
0.5385091.5855324.287509e-09
0.5392651.5854594.293527e-09
0.5400221.5853874.299553e-09
0.540781.5853154.305588e-09
0.5415391.5852444.311631e-09
0.5422991.5851734.317682e-09
0.543061.5851014.323743e-09
0.5438221.5850314.329811e-09
0.5445851.584964.335888e-09
0.545351.5848894.341974e-09
0.5461151.5848194.348068e-09
0.5468821.5847494.354171e-09
0.5476491.5846794.360282e-09
0.5484181.584614.366402e-09
0.5491871.584544.372531e-09
0.5499581.5844714.378668e-09
0.551.5844674.379000e-09
0.550731.5844024.384812e-09
0.5515031.5843344.390965e-09
0.5522771.5842654.397126e-09
0.5530521.5841974.403297e-09
0.5538291.5841294.409475e-09
0.5546061.5840614.415663e-09
0.5553841.5839934.421859e-09
0.5561641.5839264.428064e-09
0.5569441.5838584.434277e-09
0.5577261.5837914.440499e-09
0.5585091.5837244.446730e-09
0.5592931.5836584.452970e-09
0.5600781.5835914.459219e-09
0.5608641.5835254.465476e-09
0.5616511.5834594.471742e-09
0.5624391.5833934.478017e-09
0.5632291.5833284.484300e-09
0.5640191.5832624.490593e-09
0.5648111.5831974.496894e-09
0.5656041.5831324.503204e-09
0.5663971.5830674.509523e-09
0.5671921.5830034.515851e-09
0.5679881.5829384.522188e-09
0.5687861.5828744.528533e-09
0.5695841.582814.534888e-09
0.5703831.5827464.541251e-09
0.5711841.5826824.547624e-09
0.5719861.5826194.554005e-09
0.5727881.5825564.560395e-09
0.5735921.5824924.566795e-09
0.5743971.582434.573203e-09
0.5752041.5823674.579620e-09
0.5760111.5823044.586046e-09
0.5768191.5822424.592481e-09
0.5776291.582184.598926e-09
0.578441.5821184.605379e-09
0.5792511.5820564.611841e-09
0.5800641.5819954.618313e-09
0.5808791.5819334.624793e-09
0.5816941.5818724.631283e-09
0.582511.5818114.637782e-09
0.5833281.581754.644290e-09
0.5841471.5816894.650807e-09
0.5849661.5816294.657333e-09
0.5857871.5815684.663868e-09
0.586611.5815084.670413e-09
0.5874331.5814484.676966e-09
0.5882571.5813894.683529e-09
0.5890831.5813294.690101e-09
0.589911.581274.696682e-09
0.5907381.581214.703273e-09
0.5915671.5811514.709873e-09
0.5923971.5810924.716482e-09
0.5932291.5810344.723100e-09
0.5940611.5809754.729728e-09
0.5948951.5809174.736365e-09
0.595731.5808584.743011e-09
0.5965661.58084.749666e-09
0.5974031.5807424.756331e-09
0.5982421.5806854.763006e-09
0.5990821.5806274.769689e-09
0.5999221.580574.776382e-09
0.61.5805644.777000e-09
0.6007641.5805124.783086e-09
0.6016081.5804554.789800e-09
0.6024521.5803994.796523e-09
0.6032981.5803424.803255e-09
0.6041441.5802854.809997e-09
0.6049921.5802294.816748e-09
0.6058411.5801734.823509e-09
0.6066921.5801174.830279e-09
0.6075431.5800614.837059e-09
0.6083961.5800054.843848e-09
0.609251.5799494.850647e-09
0.6101051.5798944.857455e-09
0.6109611.5798394.864273e-09
0.6118191.5797834.871100e-09
0.6126771.5797294.877937e-09
0.6135371.5796744.884784e-09
0.6143981.5796194.891640e-09
0.6152611.5795654.898506e-09
0.6161241.579514.905381e-09
0.6169891.5794564.912266e-09
0.6178551.5794024.919161e-09
0.6187221.5793484.926066e-09
0.6195911.5792944.932980e-09
0.620461.5792414.939904e-09
0.6213311.5791874.946837e-09
0.6222031.5791344.953781e-09
0.6230761.5790814.960734e-09
0.6239511.5790284.967697e-09
0.6248271.5789754.974669e-09
0.6257041.5789234.981652e-09
0.6265821.578874.988644e-09
0.6274611.5788184.995646e-09
0.6283421.5787665.002658e-09
0.6292241.5787135.009679e-09
0.6301071.5786615.016711e-09
0.6309911.578615.023752e-09
0.6318771.5785585.030803e-09
0.6327641.5785075.037865e-09
0.6336521.5784555.044936e-09
0.6345411.5784045.052017e-09
0.6354321.5783535.059108e-09
0.6363241.5783025.066208e-09
0.6372171.5782515.073319e-09
0.6381111.57825.080440e-09
0.6390071.578155.087571e-09
0.6399041.57815.094712e-09
0.6408021.5780495.101863e-09
0.6417011.5779995.109024e-09
0.6426021.5779495.116194e-09
0.6435041.5778995.123375e-09
0.6444071.577855.130567e-09
0.6453111.57785.137768e-09
0.6462171.5777515.144979e-09
0.6471241.5777015.152200e-09
0.6480321.5776525.159432e-09
0.6489421.5776035.166674e-09
0.6498521.5775545.173926e-09
0.651.5775475.175100e-09
0.6507651.5775065.181188e-09
0.6516781.5774575.188460e-09
0.6525931.5774095.195742e-09
0.6535091.577365.203035e-09
0.6544261.5773125.210338e-09
0.6553441.5772645.217651e-09
0.6562641.5772165.224974e-09
0.6571851.5771685.232308e-09
0.6581081.577125.239652e-09
0.6590311.5770735.247006e-09
0.6599561.5770255.254371e-09
0.6608821.5769785.261746e-09
0.661811.5769315.269131e-09
0.6627391.5768845.276527e-09
0.6636691.5768375.283933e-09
0.6646011.576795.291349e-09
0.6655331.5767435.298776e-09
0.6664671.5766975.306213e-09
0.6674031.576655.313661e-09
0.668341.5766045.321119e-09
0.6692781.5765585.328588e-09
0.6702171.5765115.336067e-09
0.6711581.5764655.343557e-09
0.67211.576425.351057e-09
0.6730431.5763745.358567e-09
0.6739881.5763285.366089e-09
0.6749331.5762835.373620e-09
0.6758811.5762375.381163e-09
0.6768291.5761925.388716e-09
0.6777791.5761475.396279e-09
0.6787311.5761025.403853e-09
0.6796831.5760575.411438e-09
0.6806371.5760125.419033e-09
0.6815921.5759685.426639e-09
0.6825491.5759235.434256e-09
0.6835071.5758795.441884e-09
0.6844661.5758345.449522e-09
0.6854271.575795.457171e-09
0.6863891.5757465.464830e-09
0.6873521.5757025.472500e-09
0.6883171.5756585.480182e-09
0.6892831.5756145.487873e-09
0.6902511.5755715.495576e-09
0.6912191.5755275.503290e-09
0.692191.5754845.511014e-09
0.6931611.575445.518749e-09
0.6941341.5753975.526495e-09
0.6951081.5753545.534252e-09
0.6960841.5753115.542020e-09
0.6970611.5752685.549798e-09
0.6980391.5752255.557588e-09
0.6990191.5751835.565389e-09
0.71.575145.573200e-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
—