Optical constants

Refractive index of E-LASF01 (HIKARI)

E-LASF01: 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
1.7859
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.18943
Permittivity ε2
1.67099e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
44.174
Chromatic dispersion dn/dλ
-0.0910499 µm⁻¹
Group index ng
1.8394
Group velocity dispersion
167.717 fs²/mm
Dispersion parameter D
-914.986 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-LASF01 (HIKARI): E-LASF01
hikari_e_lasf01 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LASF01", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lasf01.range_nm)  # (400, 700) nm
eps = hikari_e_lasf01.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=3.10625626−0.0130242032⁢λ2.0+0.0300056853⁢λ−2.0−0.000279459588⁢λ−4.0+0.000147953845⁢λ−6.0−6.92451309×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.10625626
C2-0.0130242032
C32.0
C40.0300056853
C5-2.0
C6-0.000279459588
C7-4.0
C80.000147953845
C9-6.0
C10-6.92451309e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.785900
Vd
44.174088
glass status
preferred
density
value: 4240
thermal expansion
value: 7.6e-06, temperature range: 243 343
dPgF
-0.007

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-LASF01 (HIKARI), E-LASF01: n and k versus wavelength
λ (µm)nk
0.41.8183361.035200e-07
0.4005611.8181561.017468e-07
0.4011241.8179779.997107e-08
0.4016871.8177989.819287e-08
0.402251.817629.641217e-08
0.4028151.8174429.462898e-08
0.403381.8172659.284328e-08
0.4039461.8170899.105508e-08
0.4045131.8169138.926436e-08
0.4050811.8167388.747113e-08
0.405651.8165638.567539e-08
0.4062191.8163898.387712e-08
0.4067891.8162168.207633e-08
0.407361.8160438.027302e-08
0.4079321.8158717.846717e-08
0.4085041.8156997.665879e-08
0.4090781.8155297.484787e-08
0.4096521.8153587.303441e-08
0.4102271.8151887.121840e-08
0.4108031.8150196.939984e-08
0.4113791.8148516.757874e-08
0.4119571.8146836.575507e-08
0.4125351.8145156.392885e-08
0.4131141.8143486.210006e-08
0.4136941.8141826.026871e-08
0.4142741.8140165.843478e-08
0.4148561.8138515.659828e-08
0.4154381.8136865.475921e-08
0.4160211.8135225.291755e-08
0.4166051.8133595.107331e-08
0.417191.8131964.922648e-08
0.4177751.8130344.737706e-08
0.4183621.8128724.552504e-08
0.4189491.8127114.367042e-08
0.4195371.812554.181320e-08
0.421.8124244.035000e-08
0.4201261.812394.016271e-08
0.4207151.812233.928323e-08
0.4213061.8120713.840252e-08
0.4218971.8119133.752057e-08
0.4224891.8117553.663739e-08
0.4230821.8115983.575297e-08
0.4236761.8114413.486730e-08
0.4242711.8112853.398039e-08
0.4248661.8111293.309224e-08
0.4254621.8109743.220284e-08
0.426061.8108193.131219e-08
0.4266581.8106653.042029e-08
0.4272561.8105112.952714e-08
0.4278561.8103582.863274e-08
0.4284571.8102052.773708e-08
0.4290581.8100532.684017e-08
0.429661.8099022.594199e-08
0.4302631.8097512.504256e-08
0.4308671.80962.414186e-08
0.4314721.809452.323990e-08
0.4320771.8093012.233667e-08
0.4326841.8091522.143217e-08
0.4332911.8090032.052641e-08
0.4338991.8088551.961937e-08
0.4345081.8087081.871106e-08
0.4351181.8085611.780148e-08
0.4357291.8084141.689062e-08
0.436341.8082681.597848e-08
0.4369531.8081231.506506e-08
0.4375661.8079781.415036e-08
0.438181.8078331.323437e-08
0.4387951.8076891.231710e-08
0.4394111.8075461.139854e-08
0.441.8074091.052000e-08
0.4400281.8074031.051050e-08
0.4406451.807261.029874e-08
0.4412641.8071181.008669e-08
0.4418831.8069769.874333e-09
0.4425031.8068359.661680e-09
0.4431241.8066959.448729e-09
0.4437461.8065549.235478e-09
0.4443691.8064159.021929e-09
0.4449931.8062768.808080e-09
0.4456171.8061378.593930e-09
0.4462431.8059988.379480e-09
0.4468691.8058618.164730e-09
0.4474961.8057237.949677e-09
0.4481241.8055867.734323e-09
0.4487531.805457.518667e-09
0.4493831.8053147.302708e-09
0.4500141.8051787.086445e-09
0.4506451.8050436.869880e-09
0.4512781.8049096.653010e-09
0.4519111.8047746.435836e-09
0.4525461.8046416.218357e-09
0.4531811.8045076.000573e-09
0.4538171.8043755.782483e-09
0.4544541.8042425.564087e-09
0.4550921.804115.345385e-09
0.455731.8039795.126376e-09
0.456371.8038484.907059e-09
0.4570111.8037174.687434e-09
0.4576521.8035874.467502e-09
0.4582941.8034574.247260e-09
0.4589381.8033284.026709e-09
0.4595821.8031993.805849e-09
0.461.8031153.662400e-09
0.4602271.803073.664204e-09
0.4608731.8029423.669346e-09
0.4615191.8028153.674495e-09
0.4621671.8026873.679651e-09
0.4628161.8025613.684814e-09
0.4634651.8024343.689985e-09
0.4641161.8023083.695163e-09
0.4647671.8021833.700348e-09
0.465421.8020573.705541e-09
0.4660731.8019333.710740e-09
0.4667271.8018083.715947e-09
0.4673821.8016853.721162e-09
0.4680381.8015613.726383e-09
0.4686951.8014383.731612e-09
0.4693531.8013153.736848e-09
0.4700121.8011933.742092e-09
0.4706711.8010713.747343e-09
0.4713321.800953.752602e-09
0.4719931.8008283.757867e-09
0.4726561.8007083.763140e-09
0.4733191.8005873.768421e-09
0.4739841.8004683.773709e-09
0.4746491.8003483.779004e-09
0.4753151.8002293.784307e-09
0.4759821.800113.789617e-09
0.476651.7999923.794935e-09
0.4773191.7998743.800260e-09
0.4779891.7997563.805593e-09
0.478661.7996393.810933e-09
0.4793321.7995223.816281e-09
0.481.7994073.821600e-09
0.4800051.7994063.821636e-09
0.4806781.799293.827002e-09
0.4813531.7991743.832376e-09
0.4820281.7990593.837757e-09
0.4827051.7989443.843145e-09
0.4833821.7988293.848541e-09
0.4840611.7987153.853945e-09
0.484741.7986013.859357e-09
0.4854211.7984883.864776e-09
0.4861021.7983743.870202e-09
0.4867841.7982623.875636e-09
0.4874671.7981493.881078e-09
0.4881521.7980373.886528e-09
0.4888371.7979263.891985e-09
0.4895231.7978143.897450e-09
0.490211.7977033.902922e-09
0.4908981.7975933.908402e-09
0.4915871.7974823.913890e-09
0.4922771.7973733.919385e-09
0.4929681.7972633.924889e-09
0.493661.7971543.930400e-09
0.4943531.7970453.935918e-09
0.4950461.7969363.941445e-09
0.4957411.7968283.946979e-09
0.4964371.796723.952521e-09
0.4971341.7966133.958071e-09
0.4978321.7965063.963628e-09
0.498531.7963993.969193e-09
0.499231.7962933.974766e-09
0.4999311.7961863.980347e-09
0.51.7961763.980900e-09
0.5006321.7960813.985934e-09
0.5013351.7959753.991529e-09
0.5020391.795873.997131e-09
0.5027431.7957654.002741e-09
0.5034491.7956614.008360e-09
0.5041551.7955574.013986e-09
0.5048631.7954534.019619e-09
0.5055721.7953494.025261e-09
0.5062811.7952464.030911e-09
0.5069921.7951434.036569e-09
0.5077031.7950414.042234e-09
0.5084161.7949394.047908e-09
0.509131.7948374.053589e-09
0.5098441.7947354.059279e-09
0.510561.7946344.064976e-09
0.5112761.7945334.070682e-09
0.5119941.7944324.076395e-09
0.5127121.7943324.082117e-09
0.5134321.7942324.087846e-09
0.5141531.7941324.093584e-09
0.5148741.7940334.099329e-09
0.5155971.7939344.105083e-09
0.5163211.7938354.110845e-09
0.5170451.7937374.116614e-09
0.5177711.7936394.122392e-09
0.5184981.7935414.128178e-09
0.5192251.7934434.133973e-09
0.5199541.7933464.139775e-09
0.5206841.7932494.145585e-09
0.5214151.7931534.151404e-09
0.5221471.7930564.157231e-09
0.5228791.792964.163066e-09
0.5236131.7928644.168909e-09
0.5243481.7927694.174760e-09
0.5250841.7926744.180620e-09
0.5258211.7925794.186487e-09
0.5265591.7924844.192363e-09
0.5272981.792394.198248e-09
0.5280381.7922964.204140e-09
0.5287791.7922024.210041e-09
0.5295211.7921094.215950e-09
0.5302651.7920164.221867e-09
0.5310091.7919234.227793e-09
0.5317541.791834.233727e-09
0.5325011.7917384.239669e-09
0.5332481.7916464.245620e-09
0.5339961.7915544.251579e-09
0.5347461.7914634.257546e-09
0.5354961.7913714.263522e-09
0.5362481.7912814.269506e-09
0.5370011.791194.275499e-09
0.5377541.79114.281500e-09
0.5385091.7910094.287509e-09
0.5392651.790924.293527e-09
0.5400221.790834.299553e-09
0.540781.7907414.305588e-09
0.5415391.7906524.311631e-09
0.5422991.7905634.317682e-09
0.543061.7904744.323743e-09
0.5438221.7903864.329811e-09
0.5445851.7902984.335888e-09
0.545351.7902114.341974e-09
0.5461151.7901234.348068e-09
0.5468821.7900364.354171e-09
0.5476491.7899494.360282e-09
0.5484181.7898624.366402e-09
0.5491871.7897764.372531e-09
0.5499581.789694.378668e-09
0.551.7896854.379000e-09
0.550731.7896044.384812e-09
0.5515031.7895184.390965e-09
0.5522771.7894334.397126e-09
0.5530521.7893484.403297e-09
0.5538291.7892634.409475e-09
0.5546061.7891784.415663e-09
0.5553841.7890944.421859e-09
0.5561641.789014.428064e-09
0.5569441.7889264.434277e-09
0.5577261.7888424.440499e-09
0.5585091.7887594.446730e-09
0.5592931.7886764.452970e-09
0.5600781.7885934.459219e-09
0.5608641.788514.465476e-09
0.5616511.7884284.471742e-09
0.5624391.7883454.478017e-09
0.5632291.7882634.484300e-09
0.5640191.7881824.490593e-09
0.5648111.78814.496894e-09
0.5656041.7880194.503204e-09
0.5663971.7879384.509523e-09
0.5671921.7878574.515851e-09
0.5679881.7877774.522188e-09
0.5687861.7876964.528533e-09
0.5695841.7876164.534888e-09
0.5703831.7875364.541251e-09
0.5711841.7874574.547624e-09
0.5719861.7873784.554005e-09
0.5727881.7872984.560395e-09
0.5735921.7872194.566795e-09
0.5743971.7871414.573203e-09
0.5752041.7870624.579620e-09
0.5760111.7869844.586046e-09
0.5768191.7869064.592481e-09
0.5776291.7868284.598926e-09
0.578441.7867514.605379e-09
0.5792511.7866734.611841e-09
0.5800641.7865964.618313e-09
0.5808791.7865194.624793e-09
0.5816941.7864434.631283e-09
0.582511.7863664.637782e-09
0.5833281.786294.644290e-09
0.5841471.7862144.650807e-09
0.5849661.7861384.657333e-09
0.5857871.7860624.663868e-09
0.586611.7859874.670413e-09
0.5874331.7859124.676966e-09
0.5882571.7858374.683529e-09
0.5890831.7857624.690101e-09
0.589911.7856874.696682e-09
0.5907381.7856134.703273e-09
0.5915671.7855394.709873e-09
0.5923971.7854654.716482e-09
0.5932291.7853914.723100e-09
0.5940611.7853184.729728e-09
0.5948951.7852454.736365e-09
0.595731.7851714.743011e-09
0.5965661.7850994.749666e-09
0.5974031.7850264.756331e-09
0.5982421.7849534.763006e-09
0.5990821.7848814.769689e-09
0.5999221.7848094.776382e-09
0.61.7848024.777000e-09
0.6007641.7847374.783086e-09
0.6016081.7846654.789800e-09
0.6024521.7845944.796523e-09
0.6032981.7845234.803255e-09
0.6041441.7844514.809997e-09
0.6049921.7843814.816748e-09
0.6058411.784314.823509e-09
0.6066921.7842394.830279e-09
0.6075431.7841694.837059e-09
0.6083961.7840994.843848e-09
0.609251.7840294.850647e-09
0.6101051.7839594.857455e-09
0.6109611.783894.864273e-09
0.6118191.783824.871100e-09
0.6126771.7837514.877937e-09
0.6135371.7836824.884784e-09
0.6143981.7836134.891640e-09
0.6152611.7835454.898506e-09
0.6161241.7834764.905381e-09
0.6169891.7834084.912266e-09
0.6178551.783344.919161e-09
0.6187221.7832724.926066e-09
0.6195911.7832044.932980e-09
0.620461.7831374.939904e-09
0.6213311.783074.946837e-09
0.6222031.7830024.953781e-09
0.6230761.7829364.960734e-09
0.6239511.7828694.967697e-09
0.6248271.7828024.974669e-09
0.6257041.7827364.981652e-09
0.6265821.7826694.988644e-09
0.6274611.7826034.995646e-09
0.6283421.7825385.002658e-09
0.6292241.7824725.009679e-09
0.6301071.7824065.016711e-09
0.6309911.7823415.023752e-09
0.6318771.7822765.030803e-09
0.6327641.7822115.037865e-09
0.6336521.7821465.044936e-09
0.6345411.7820815.052017e-09
0.6354321.7820175.059108e-09
0.6363241.7819525.066208e-09
0.6372171.7818885.073319e-09
0.6381111.7818245.080440e-09
0.6390071.781765.087571e-09
0.6399041.7816975.094712e-09
0.6408021.7816335.101863e-09
0.6417011.781575.109024e-09
0.6426021.7815075.116194e-09
0.6435041.7814445.123375e-09
0.6444071.7813815.130567e-09
0.6453111.7813185.137768e-09
0.6462171.7812565.144979e-09
0.6471241.7811935.152200e-09
0.6480321.7811315.159432e-09
0.6489421.7810695.166674e-09
0.6498521.7810075.173926e-09
0.651.7809975.175100e-09
0.6507651.7809465.266497e-09
0.6516781.7808845.375679e-09
0.6525931.7808235.485014e-09
0.6535091.7807625.594503e-09
0.6544261.7807015.704145e-09
0.6553441.780645.813942e-09
0.6562641.7805795.923892e-09
0.6571851.7805186.033997e-09
0.6581081.7804586.144256e-09
0.6590311.7803986.254671e-09
0.6599561.7803376.365240e-09
0.6608821.7802786.475964e-09
0.661811.7802186.586843e-09
0.6627391.7801586.697879e-09
0.6636691.7800996.809070e-09
0.6646011.7800396.920417e-09
0.6655331.779987.031920e-09
0.6664671.7799217.143580e-09
0.6674031.7798627.255397e-09
0.668341.7798037.367371e-09
0.6692781.7797457.479501e-09
0.6702171.7796867.591790e-09
0.6711581.7796287.704235e-09
0.67211.779577.816839e-09
0.6730431.7795127.929601e-09
0.6739881.7794548.042520e-09
0.6749331.7793968.155599e-09
0.6758811.7793388.268836e-09
0.6768291.7792818.382232e-09
0.6777791.7792248.495787e-09
0.6787311.7791668.609502e-09
0.6796831.7791098.723376e-09
0.6806371.7790538.837410e-09
0.6815921.7789968.951604e-09
0.6825491.7789399.065958e-09
0.6835071.7788839.180473e-09
0.6844661.7788269.295148e-09
0.6854271.778779.409985e-09
0.6863891.7787149.524982e-09
0.6873521.7786589.640141e-09
0.6883171.7786039.755462e-09
0.6892831.7785479.870945e-09
0.6902511.7784919.986589e-09
0.6912191.7784361.010240e-08
0.692191.7783811.021837e-08
0.6931611.7783261.033450e-08
0.6941341.7782711.045079e-08
0.6951081.7782161.056725e-08
0.6960841.7781611.068387e-08
0.6970611.7781071.080066e-08
0.6980391.7780521.091761e-08
0.6990191.7779981.103472e-08
0.71.7779441.115200e-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
—