Optical constants

Refractive index of E-LAF010 (HIKARI)

E-LAF010: 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
1.7432
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.03874
Permittivity ε2
1.63104e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
49.314
Chromatic dispersion dn/dλ
-0.077547 µm⁻¹
Group index ng
1.78876
Group velocity dispersion
138.755 fs²/mm
Dispersion parameter D
-756.983 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-LAF010 (HIKARI): E-LAF010
hikari_e_laf010 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LAF010", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_laf010.range_nm)  # (400, 700) nm
eps = hikari_e_laf010.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=2.96201742−0.00690787335⁢λ2.0+0.0295340678⁢λ−2.0−0.00139338248⁢λ−4.0+0.000252317172⁢λ−6.0−1.245434×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.96201742
C2-0.00690787335
C32.0
C40.0295340678
C5-2.0
C6-0.00139338248
C7-4.0
C80.000252317172
C9-6.0
C10-1.245434e-05
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.743200
Vd
49.314451
glass code
743493
glass status
preferred
density
value: 4070
thermal expansion
value: 6.6e-06, temperature range: 243 343
dPgF
-0.0089

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-LAF010 (HIKARI), E-LAF010: n and k versus wavelength
λ (µm)nk
0.41.7702173.520800e-08
0.4005611.770073.431356e-08
0.4011241.7699243.341786e-08
0.4016871.7697783.252090e-08
0.402251.7696323.162268e-08
0.4028151.7694873.072321e-08
0.403381.7693432.982247e-08
0.4039461.7691992.892047e-08
0.4045131.7690552.801720e-08
0.4050811.7689122.711266e-08
0.405651.7687692.620685e-08
0.4062191.7686272.529978e-08
0.4067891.7684862.439142e-08
0.407361.7683442.348180e-08
0.4079321.7682032.257090e-08
0.4085041.7680632.165872e-08
0.4090781.7679232.074525e-08
0.4096521.7677831.983051e-08
0.4102271.7676441.891448e-08
0.4108031.7675061.799717e-08
0.4113791.7673681.707857e-08
0.4119571.767231.615868e-08
0.4125351.7670931.523750e-08
0.4131141.7669561.431503e-08
0.4136941.7668191.339126e-08
0.4142741.7666831.246619e-08
0.4148561.7665481.153983e-08
0.4154381.7664131.061217e-08
0.4160211.7662789.683203e-09
0.4166051.7661448.752933e-09
0.417191.766017.821359e-09
0.4177751.7658776.888476e-09
0.4183621.7657445.954285e-09
0.4189491.7656115.018782e-09
0.4195371.7654794.081966e-09
0.421.7653763.343900e-09
0.4201261.7653483.344900e-09
0.4207151.7652173.349597e-09
0.4213061.7650863.354300e-09
0.4218971.7649553.359010e-09
0.4224891.7648253.363726e-09
0.4230821.7646963.368449e-09
0.4236761.7645673.373179e-09
0.4242711.7644383.377915e-09
0.4248661.764313.382658e-09
0.4254621.7641823.387408e-09
0.426061.7640553.392164e-09
0.4266581.7639273.396927e-09
0.4272561.7638013.401697e-09
0.4278561.7636753.406473e-09
0.4284571.7635493.411256e-09
0.4290581.7634233.416046e-09
0.429661.7632983.420843e-09
0.4302631.7631743.425646e-09
0.4308671.763053.430456e-09
0.4314721.7629263.435272e-09
0.4320771.7628023.440096e-09
0.4326841.7626793.444926e-09
0.4332911.7625573.449763e-09
0.4338991.7624353.454607e-09
0.4345081.7623133.459458e-09
0.4351181.7621913.464315e-09
0.4357291.762073.469179e-09
0.436341.761953.474050e-09
0.4369531.7618293.478928e-09
0.4375661.7617093.483813e-09
0.438181.761593.488705e-09
0.4387951.7614713.493603e-09
0.4394111.7613523.498508e-09
0.441.7612393.503200e-09
0.4400281.7612343.503420e-09
0.4406451.7611163.508336e-09
0.4412641.7609983.513259e-09
0.4418831.7608813.518189e-09
0.4425031.7607643.523126e-09
0.4431241.7606483.528070e-09
0.4437461.7605323.533020e-09
0.4443691.7604163.537978e-09
0.4449931.7603013.542942e-09
0.4456171.7601863.547914e-09
0.4462431.7600713.552892e-09
0.4468691.7599573.557878e-09
0.4474961.7598433.562870e-09
0.4481241.7597293.567870e-09
0.4487531.7596163.572876e-09
0.4493831.7595033.577890e-09
0.4500141.7593913.582910e-09
0.4506451.7592793.587938e-09
0.4512781.7591673.592973e-09
0.4519111.7590563.598014e-09
0.4525461.7589453.603063e-09
0.4531811.7588343.608119e-09
0.4538171.7587243.613182e-09
0.4544541.7586143.618252e-09
0.4550921.7585043.623329e-09
0.455731.7583953.628414e-09
0.456371.7582863.633505e-09
0.4570111.7581783.638604e-09
0.4576521.7580693.643709e-09
0.4582941.7579623.648822e-09
0.4589381.7578543.653943e-09
0.4595821.7577473.659070e-09
0.461.7576773.662400e-09
0.4602271.757643.664204e-09
0.4608731.7575333.669346e-09
0.4615191.7574273.674495e-09
0.4621671.7573213.679651e-09
0.4628161.7572163.684814e-09
0.4634651.7571113.689985e-09
0.4641161.7570063.695163e-09
0.4647671.7569013.700348e-09
0.465421.7567973.705541e-09
0.4660731.7566933.710740e-09
0.4667271.756593.715947e-09
0.4673821.7564873.721162e-09
0.4680381.7563843.726383e-09
0.4686951.7562813.731612e-09
0.4693531.7561793.736848e-09
0.4700121.7560773.742092e-09
0.4706711.7559753.747343e-09
0.4713321.7558743.752602e-09
0.4719931.7557733.757867e-09
0.4726561.7556733.763140e-09
0.4733191.7555723.768421e-09
0.4739841.7554723.773709e-09
0.4746491.7553723.779004e-09
0.4753151.7552733.784307e-09
0.4759821.7551743.789617e-09
0.476651.7550753.794935e-09
0.4773191.7549773.800260e-09
0.4779891.7548793.805593e-09
0.478661.7547813.810933e-09
0.4793321.7546833.816281e-09
0.481.7545863.821600e-09
0.4800051.7545863.821636e-09
0.4806781.7544893.827002e-09
0.4813531.7543923.832376e-09
0.4820281.7542963.837757e-09
0.4827051.75423.843145e-09
0.4833821.7541043.848541e-09
0.4840611.7540093.853945e-09
0.484741.7539133.859357e-09
0.4854211.7538183.864776e-09
0.4861021.7537243.870202e-09
0.4867841.753633.875636e-09
0.4874671.7535363.881078e-09
0.4881521.7534423.886528e-09
0.4888371.7533483.891985e-09
0.4895231.7532553.897450e-09
0.490211.7531623.902922e-09
0.4908981.753073.908402e-09
0.4915871.7529773.913890e-09
0.4922771.7528853.919385e-09
0.4929681.7527943.924889e-09
0.493661.7527023.930400e-09
0.4943531.7526113.935918e-09
0.4950461.752523.941445e-09
0.4957411.7524293.946979e-09
0.4964371.7523393.952521e-09
0.4971341.7522493.958071e-09
0.4978321.7521593.963628e-09
0.498531.752073.969193e-09
0.499231.751983.974766e-09
0.4999311.7518913.980347e-09
0.51.7518833.980900e-09
0.5006321.7518033.985934e-09
0.5013351.7517143.991529e-09
0.5020391.7516263.997131e-09
0.5027431.7515384.002741e-09
0.5034491.751454.008360e-09
0.5041551.7513634.013986e-09
0.5048631.7512764.019619e-09
0.5055721.7511894.025261e-09
0.5062811.7511024.030911e-09
0.5069921.7510164.036569e-09
0.5077031.750934.042234e-09
0.5084161.7508444.047908e-09
0.509131.7507584.053589e-09
0.5098441.7506734.059279e-09
0.510561.7505884.064976e-09
0.5112761.7505034.070682e-09
0.5119941.7504194.076395e-09
0.5127121.7503344.082117e-09
0.5134321.750254.087846e-09
0.5141531.7501664.093584e-09
0.5148741.7500834.099329e-09
0.5155971.7499994.105083e-09
0.5163211.7499164.110845e-09
0.5170451.7498344.116614e-09
0.5177711.7497514.122392e-09
0.5184981.7496694.128178e-09
0.5192251.7495874.133973e-09
0.5199541.7495054.139775e-09
0.5206841.7494234.145585e-09
0.5214151.7493424.151404e-09
0.5221471.7492614.157231e-09
0.5228791.749184.163066e-09
0.5236131.7490994.168909e-09
0.5243481.7490194.174760e-09
0.5250841.7489384.180620e-09
0.5258211.7488584.186487e-09
0.5265591.7487794.192363e-09
0.5272981.7486994.198248e-09
0.5280381.748624.204140e-09
0.5287791.7485414.210041e-09
0.5295211.7484624.215950e-09
0.5302651.7483834.221867e-09
0.5310091.7483054.227793e-09
0.5317541.7482274.233727e-09
0.5325011.7481494.239669e-09
0.5332481.7480714.245620e-09
0.5339961.7479944.251579e-09
0.5347461.7479174.257546e-09
0.5354961.747844.263522e-09
0.5362481.7477634.269506e-09
0.5370011.7476864.275499e-09
0.5377541.747614.281500e-09
0.5385091.7475344.287509e-09
0.5392651.7474584.293527e-09
0.5400221.7473824.299553e-09
0.540781.7473074.305588e-09
0.5415391.7472324.311631e-09
0.5422991.7471574.317682e-09
0.543061.7470824.323743e-09
0.5438221.7470074.329811e-09
0.5445851.7469334.335888e-09
0.545351.7468594.341974e-09
0.5461151.7467854.348068e-09
0.5468821.7467114.354171e-09
0.5476491.7466374.360282e-09
0.5484181.7465644.366402e-09
0.5491871.7464914.372531e-09
0.5499581.7464184.378668e-09
0.551.7464144.379000e-09
0.550731.7463454.384812e-09
0.5515031.7462734.390965e-09
0.5522771.74624.397126e-09
0.5530521.7461284.403297e-09
0.5538291.7460564.409475e-09
0.5546061.7459854.415663e-09
0.5553841.7459134.421859e-09
0.5561641.7458424.428064e-09
0.5569441.7457714.434277e-09
0.5577261.74574.440499e-09
0.5585091.7456294.446730e-09
0.5592931.7455594.452970e-09
0.5600781.7454884.459219e-09
0.5608641.7454184.465476e-09
0.5616511.7453484.471742e-09
0.5624391.7452794.478017e-09
0.5632291.7452094.484300e-09
0.5640191.745144.490593e-09
0.5648111.7450714.496894e-09
0.5656041.7450024.503204e-09
0.5663971.7449334.509523e-09
0.5671921.7448644.515851e-09
0.5679881.7447964.522188e-09
0.5687861.7447284.528533e-09
0.5695841.744664.534888e-09
0.5703831.7445924.541251e-09
0.5711841.7445244.547624e-09
0.5719861.7444574.554005e-09
0.5727881.744394.560395e-09
0.5735921.7443234.566795e-09
0.5743971.7442564.573203e-09
0.5752041.7441894.579620e-09
0.5760111.7441224.586046e-09
0.5768191.7440564.592481e-09
0.5776291.743994.598926e-09
0.578441.7439244.605379e-09
0.5792511.7438584.611841e-09
0.5800641.7437934.618313e-09
0.5808791.7437274.624793e-09
0.5816941.7436624.631283e-09
0.582511.7435974.637782e-09
0.5833281.7435324.644290e-09
0.5841471.7434674.650807e-09
0.5849661.7434034.657333e-09
0.5857871.7433384.663868e-09
0.586611.7432744.670413e-09
0.5874331.743214.676966e-09
0.5882571.7431464.683529e-09
0.5890831.7430824.690101e-09
0.589911.7430194.696682e-09
0.5907381.7429564.703273e-09
0.5915671.7428924.709873e-09
0.5923971.7428294.716482e-09
0.5932291.7427674.723100e-09
0.5940611.7427044.729728e-09
0.5948951.7426414.736365e-09
0.595731.7425794.743011e-09
0.5965661.7425174.749666e-09
0.5974031.7424554.756331e-09
0.5982421.7423934.763006e-09
0.5990821.7423314.769689e-09
0.5999221.742274.776382e-09
0.61.7422644.777000e-09
0.6007641.7422094.783086e-09
0.6016081.7421474.789800e-09
0.6024521.7420864.796523e-09
0.6032981.7420264.803255e-09
0.6041441.7419654.809997e-09
0.6049921.7419044.816748e-09
0.6058411.7418444.823509e-09
0.6066921.7417844.830279e-09
0.6075431.7417244.837059e-09
0.6083961.7416644.843848e-09
0.609251.7416044.850647e-09
0.6101051.7415444.857455e-09
0.6109611.7414854.864273e-09
0.6118191.7414264.871100e-09
0.6126771.7413674.877937e-09
0.6135371.7413084.884784e-09
0.6143981.7412494.891640e-09
0.6152611.741194.898506e-09
0.6161241.7411324.905381e-09
0.6169891.7410734.912266e-09
0.6178551.7410154.919161e-09
0.6187221.7409574.926066e-09
0.6195911.7408994.932980e-09
0.620461.7408424.939904e-09
0.6213311.7407844.946837e-09
0.6222031.7407274.953781e-09
0.6230761.7406694.960734e-09
0.6239511.7406124.967697e-09
0.6248271.7405554.974669e-09
0.6257041.7404984.981652e-09
0.6265821.7404424.988644e-09
0.6274611.7403854.995646e-09
0.6283421.7403295.002658e-09
0.6292241.7402725.009679e-09
0.6301071.7402165.016711e-09
0.6309911.740165.023752e-09
0.6318771.7401045.030803e-09
0.6327641.7400495.037865e-09
0.6336521.7399935.044936e-09
0.6345411.7399385.052017e-09
0.6354321.7398825.059108e-09
0.6363241.7398275.066208e-09
0.6372171.7397725.073319e-09
0.6381111.7397185.080440e-09
0.6390071.7396635.087571e-09
0.6399041.7396085.094712e-09
0.6408021.7395545.101863e-09
0.6417011.73955.109024e-09
0.6426021.7394455.116194e-09
0.6435041.7393915.123375e-09
0.6444071.7393385.130567e-09
0.6453111.7392845.137768e-09
0.6462171.739235.144979e-09
0.6471241.7391775.152200e-09
0.6480321.7391235.159432e-09
0.6489421.739075.166674e-09
0.6498521.7390175.173926e-09
0.651.7390095.175100e-09
0.6507651.7389645.181188e-09
0.6516781.7389115.188460e-09
0.6525931.7388595.195742e-09
0.6535091.7388065.203035e-09
0.6544261.7387545.210338e-09
0.6553441.7387025.217651e-09
0.6562641.7386495.224974e-09
0.6571851.7385975.232308e-09
0.6581081.7385465.239652e-09
0.6590311.7384945.247006e-09
0.6599561.7384425.254371e-09
0.6608821.7383915.261746e-09
0.661811.7383395.269131e-09
0.6627391.7382885.276527e-09
0.6636691.7382375.283933e-09
0.6646011.7381865.291349e-09
0.6655331.7381355.298776e-09
0.6664671.7380845.306213e-09
0.6674031.7380345.313661e-09
0.668341.7379835.321119e-09
0.6692781.7379335.328588e-09
0.6702171.7378835.336067e-09
0.6711581.7378335.343557e-09
0.67211.7377835.351057e-09
0.6730431.7377335.358567e-09
0.6739881.7376835.366089e-09
0.6749331.7376335.373620e-09
0.6758811.7375845.381163e-09
0.6768291.7375345.388716e-09
0.6777791.7374855.396279e-09
0.6787311.7374365.403853e-09
0.6796831.7373875.411438e-09
0.6806371.7373385.419033e-09
0.6815921.7372895.426639e-09
0.6825491.7372415.434256e-09
0.6835071.7371925.441884e-09
0.6844661.7371445.449522e-09
0.6854271.7370955.457171e-09
0.6863891.7370475.464830e-09
0.6873521.7369995.472500e-09
0.6883171.7369515.480182e-09
0.6892831.7369035.487873e-09
0.6902511.7368565.495576e-09
0.6912191.7368085.503290e-09
0.692191.7367615.511014e-09
0.6931611.7367135.518749e-09
0.6941341.7366665.526495e-09
0.6951081.7366195.534252e-09
0.6960841.7365725.542020e-09
0.6970611.7365255.549798e-09
0.6980391.7364785.557588e-09
0.6990191.7364315.565389e-09
0.71.7363855.573200e-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
—