Optical constants

Refractive index of E-LASF014 (HIKARI)

E-LASF014: 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
1.788
Extinction coefficient k
2.92327e-08
Permittivity ε1
3.19694
Permittivity ε2
1.04536e-07
Absorption coefficient α
0.00625169 cm⁻¹
Penetration depth δ = λ/(2πk)
3.19914e+09 nm
Abbe number Vd
47.379
Chromatic dispersion dn/dλ
-0.0854027 µm⁻¹
Group index ng
1.83818
Group velocity dispersion
155.047 fs²/mm
Dispersion parameter D
-845.861 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-LASF014 (HIKARI): E-LASF014
hikari_e_lasf014 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LASF014", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lasf014.range_nm)  # (400, 700) nm
eps = hikari_e_lasf014.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=3.12215038−0.0147958367⁢λ2.0+0.0260452483⁢λ−2.0+0.000507811768⁢λ−4.0+5.71446833×10-6⁢λ−6.0+8.82357872×10-7⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.12215038
C2-0.0147958367
C32.0
C40.0260452483
C5-2.0
C60.000507811768
C7-4.0
C85.71446833e-06
C9-6.0
C108.82357872e-07
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.788001
Vd
47.378774
glass code
788474
glass status
preferred
density
value: 4360
thermal expansion
value: 7.1e-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-LASF014 (HIKARI), E-LASF014: n and k versus wavelength
λ (µm)nk
0.41.8180051.101100e-07
0.4005611.817841.092022e-07
0.4011241.8176761.082931e-07
0.4016871.8175121.073828e-07
0.402251.8173481.064711e-07
0.4028151.8171861.055582e-07
0.403381.8170231.046440e-07
0.4039461.8168621.037286e-07
0.4045131.8167011.028118e-07
0.4050811.816541.018938e-07
0.405651.816381.009744e-07
0.4062191.816221.000538e-07
0.4067891.8160629.913188e-08
0.407361.8159039.820866e-08
0.4079321.8157459.728416e-08
0.4085041.8155889.635835e-08
0.4090781.8154319.543125e-08
0.4096521.8152759.450284e-08
0.4102271.8151199.357314e-08
0.4108031.8149649.264212e-08
0.4113791.814819.170980e-08
0.4119571.8146569.077617e-08
0.4125351.8145028.984124e-08
0.4131141.8143498.890498e-08
0.4136941.8141968.796742e-08
0.4142741.8140458.702854e-08
0.4148561.8138938.608834e-08
0.4154381.8137428.514682e-08
0.4160211.8135928.420398e-08
0.4166051.8134428.325982e-08
0.417191.8132928.231433e-08
0.4177751.8131438.136752e-08
0.4183621.8129958.041937e-08
0.4189491.8128477.946990e-08
0.4195371.81277.851909e-08
0.421.8125847.777000e-08
0.4201261.8125537.765865e-08
0.4207151.8124067.713580e-08
0.4213061.812267.661222e-08
0.4218971.8121157.608790e-08
0.4224891.811977.556284e-08
0.4230821.8118267.503705e-08
0.4236761.8116827.451052e-08
0.4242711.8115387.398325e-08
0.4248661.8113957.345525e-08
0.4254621.8112537.292650e-08
0.426061.8111117.239700e-08
0.4266581.8109697.186677e-08
0.4272561.8108287.133579e-08
0.4278561.8106877.080406e-08
0.4284571.8105477.027159e-08
0.4290581.8104086.973837e-08
0.429661.8102686.920441e-08
0.4302631.810136.866969e-08
0.4308671.8099916.813422e-08
0.4314721.8098546.759801e-08
0.4320771.8097166.706103e-08
0.4326841.8095796.652331e-08
0.4332911.8094436.598483e-08
0.4338991.8093076.544560e-08
0.4345081.8091716.490560e-08
0.4351181.8090366.436485e-08
0.4357291.8089016.382335e-08
0.436341.8087676.328108e-08
0.4369531.8086346.273805e-08
0.4375661.80856.219426e-08
0.438181.8083676.164970e-08
0.4387951.8082356.110438e-08
0.4394111.8081036.055830e-08
0.441.8079776.003600e-08
0.4400281.8079716.002433e-08
0.4406451.807845.976414e-08
0.4412641.8077095.950358e-08
0.4418831.8075795.924266e-08
0.4425031.8074495.898137e-08
0.4431241.807325.871972e-08
0.4437461.8071915.845770e-08
0.4443691.8070625.819531e-08
0.4449931.8069345.793255e-08
0.4456171.8068065.766942e-08
0.4462431.8066795.740592e-08
0.4468691.8065525.714206e-08
0.4474961.8064255.687782e-08
0.4481241.8062995.661321e-08
0.4487531.8061745.634823e-08
0.4493831.8060485.608288e-08
0.4500141.8059235.581716e-08
0.4506451.8057995.555106e-08
0.4512781.8056755.528459e-08
0.4519111.8055515.501775e-08
0.4525461.8054285.475053e-08
0.4531811.8053055.448294e-08
0.4538171.8051835.421497e-08
0.4544541.8050615.394662e-08
0.4550921.8049395.367790e-08
0.455731.8048185.340880e-08
0.456371.8046975.313932e-08
0.4570111.8045765.286947e-08
0.4576521.8044565.259924e-08
0.4582941.8043365.232862e-08
0.4589381.8042175.205763e-08
0.4595821.8040985.178626e-08
0.461.8040215.161000e-08
0.4602271.8039795.150392e-08
0.4608731.8038615.120162e-08
0.4615191.8037435.089889e-08
0.4621671.8036265.059574e-08
0.4628161.8035095.029217e-08
0.4634651.8033924.998817e-08
0.4641161.8032764.968374e-08
0.4647671.803164.937888e-08
0.465421.8030444.907360e-08
0.4660731.8029294.876789e-08
0.4667271.8028144.846175e-08
0.4673821.8026994.815517e-08
0.4680381.8025854.784817e-08
0.4686951.8024724.754074e-08
0.4693531.8023584.723288e-08
0.4700121.8022454.692458e-08
0.4706711.8021324.661586e-08
0.4713321.802024.630669e-08
0.4719931.8019084.599710e-08
0.4726561.8017964.568707e-08
0.4733191.8016854.537660e-08
0.4739841.8015744.506570e-08
0.4746491.8014644.475437e-08
0.4753151.8013534.444259e-08
0.4759821.8012434.413038e-08
0.476651.8011344.381773e-08
0.4773191.8010254.350464e-08
0.4779891.8009164.319111e-08
0.478661.8008074.287715e-08
0.4793321.8006994.256274e-08
0.481.8005924.225000e-08
0.4800051.8005914.224858e-08
0.4806781.8004844.203711e-08
0.4813531.8003774.182534e-08
0.4820281.800274.161327e-08
0.4827051.8001634.140090e-08
0.4833821.8000574.118824e-08
0.4840611.7999514.097528e-08
0.484741.7998464.076201e-08
0.4854211.7997414.054845e-08
0.4861021.7996364.033459e-08
0.4867841.7995314.012043e-08
0.4874671.7994273.990597e-08
0.4881521.7993233.969121e-08
0.4888371.7992193.947614e-08
0.4895231.7991163.926078e-08
0.490211.7990133.904511e-08
0.4908981.7989113.882914e-08
0.4915871.7988083.861286e-08
0.4922771.7987063.839629e-08
0.4929681.7986053.817940e-08
0.493661.7985033.796222e-08
0.4943531.7984023.774473e-08
0.4950461.7983023.752693e-08
0.4957411.7982013.730883e-08
0.4964371.7981013.709042e-08
0.4971341.7980013.687171e-08
0.4978321.7979023.665269e-08
0.498531.7978033.643336e-08
0.499231.7977043.621372e-08
0.4999311.7976053.599378e-08
0.51.7975953.597200e-08
0.5006321.7975073.590590e-08
0.5013351.7974093.583245e-08
0.5020391.7973113.575889e-08
0.5027431.7972143.568523e-08
0.5034491.7971173.561146e-08
0.5041551.797023.553759e-08
0.5048631.7969233.546362e-08
0.5055721.7968273.538954e-08
0.5062811.7967313.531536e-08
0.5069921.7966363.524108e-08
0.5077031.796543.516669e-08
0.5084161.7964453.509220e-08
0.509131.796353.501760e-08
0.5098441.7962563.494290e-08
0.510561.7961623.486809e-08
0.5112761.7960683.479318e-08
0.5119941.7959743.471816e-08
0.5127121.7958813.464304e-08
0.5134321.7957883.456781e-08
0.5141531.7956953.449248e-08
0.5148741.7956023.441704e-08
0.5155971.795513.434150e-08
0.5163211.7954183.426584e-08
0.5170451.7953273.419009e-08
0.5177711.7952353.411422e-08
0.5184981.7951443.403825e-08
0.5192251.7950533.396218e-08
0.5199541.7949633.388599e-08
0.5206841.7948723.380970e-08
0.5214151.7947823.373331e-08
0.5221471.7946923.365680e-08
0.5228791.7946033.358019e-08
0.5236131.7945143.350347e-08
0.5243481.7944253.342664e-08
0.5250841.7943363.334971e-08
0.5258211.7942473.327267e-08
0.5265591.7941593.319551e-08
0.5272981.7940713.311825e-08
0.5280381.7939843.304089e-08
0.5287791.7938963.296341e-08
0.5295211.7938093.288583e-08
0.5302651.7937223.280813e-08
0.5310091.7936363.273033e-08
0.5317541.7935493.265242e-08
0.5325011.7934633.257439e-08
0.5332481.7933773.249626e-08
0.5339961.7932923.241802e-08
0.5347461.7932063.233967e-08
0.5354961.7931213.226121e-08
0.5362481.7930363.218264e-08
0.5370011.7929523.210396e-08
0.5377541.7928673.202517e-08
0.5385091.7927833.194627e-08
0.5392651.7926993.186725e-08
0.5400221.7926163.178813e-08
0.540781.7925323.170889e-08
0.5415391.7924493.162955e-08
0.5422991.7923663.155009e-08
0.543061.7922833.147052e-08
0.5438221.7922013.139084e-08
0.5445851.7921193.131105e-08
0.545351.7920373.123115e-08
0.5461151.7919553.115113e-08
0.5468821.7918743.107100e-08
0.5476491.7917923.099076e-08
0.5484181.7917113.091041e-08
0.5491871.7916313.082994e-08
0.5499581.791553.074936e-08
0.551.7915463.074500e-08
0.550731.791473.071563e-08
0.5515031.791393.068454e-08
0.5522771.791313.065341e-08
0.5530521.791233.062224e-08
0.5538291.7911513.059102e-08
0.5546061.7910723.055975e-08
0.5553841.7909933.052844e-08
0.5561641.7909143.049709e-08
0.5569441.7908363.046570e-08
0.5577261.7907573.043426e-08
0.5585091.7906793.040277e-08
0.5592931.7906013.037125e-08
0.5600781.7905243.033967e-08
0.5608641.7904463.030806e-08
0.5616511.7903693.027640e-08
0.5624391.7902923.024469e-08
0.5632291.7902163.021294e-08
0.5640191.7901393.018115e-08
0.5648111.7900633.014931e-08
0.5656041.7899873.011743e-08
0.5663971.7899113.008550e-08
0.5671921.7898353.005352e-08
0.5679881.789763.002151e-08
0.5687861.7896852.998944e-08
0.5695841.789612.995734e-08
0.5703831.7895352.992518e-08
0.5711841.789462.989298e-08
0.5719861.7893862.986074e-08
0.5727881.7893122.982845e-08
0.5735921.7892382.979612e-08
0.5743971.7891642.976374e-08
0.5752041.7890912.973131e-08
0.5760111.7890172.969884e-08
0.5768191.7889442.966633e-08
0.5776291.7888712.963377e-08
0.578441.7887992.960116e-08
0.5792511.7887262.956851e-08
0.5800641.7886542.953581e-08
0.5808791.7885822.950306e-08
0.5816941.788512.947027e-08
0.582511.7884382.943744e-08
0.5833281.7883672.940455e-08
0.5841471.7882952.937163e-08
0.5849661.7882242.933865e-08
0.5857871.7881532.930563e-08
0.586611.7880832.927256e-08
0.5874331.7880122.923945e-08
0.5882571.7879422.920629e-08
0.5890831.7878722.917308e-08
0.589911.7878022.913983e-08
0.5907381.7877322.910653e-08
0.5915671.7876622.907318e-08
0.5923971.7875932.903978e-08
0.5932291.7875242.900634e-08
0.5940611.7874552.897286e-08
0.5948951.7873862.893932e-08
0.595731.7873172.890574e-08
0.5965661.7872492.887211e-08
0.5974031.7871812.883843e-08
0.5982421.7871132.880471e-08
0.5990821.7870452.877094e-08
0.5999221.7869772.873712e-08
0.61.7869712.873400e-08
0.6007641.786912.869110e-08
0.6016081.7868422.864378e-08
0.6024521.7867752.859640e-08
0.6032981.7867082.854894e-08
0.6041441.7866422.850142e-08
0.6049921.7865752.845384e-08
0.6058411.7865092.840618e-08
0.6066921.7864422.835847e-08
0.6075431.7863762.831068e-08
0.6083961.786312.826282e-08
0.609251.7862452.821490e-08
0.6101051.7861792.816692e-08
0.6109611.7861142.811886e-08
0.6118191.7860492.807074e-08
0.6126771.7859842.802255e-08
0.6135371.7859192.797429e-08
0.6143981.7858542.792596e-08
0.6152611.785792.787757e-08
0.6161241.7857252.782911e-08
0.6169891.7856612.778058e-08
0.6178551.7855972.773198e-08
0.6187221.7855342.768331e-08
0.6195911.785472.763458e-08
0.620461.7854062.758578e-08
0.6213311.7853432.753690e-08
0.6222031.785282.748796e-08
0.6230761.7852172.743896e-08
0.6239511.7851542.738988e-08
0.6248271.7850922.734073e-08
0.6257041.7850292.729152e-08
0.6265821.7849672.724223e-08
0.6274611.7849052.719288e-08
0.6283421.7848432.714346e-08
0.6292241.7847812.709397e-08
0.6301071.7847192.704440e-08
0.6309911.7846582.699477e-08
0.6318771.7845972.694507e-08
0.6327641.7845362.689530e-08
0.6336521.7844752.684546e-08
0.6345411.7844142.679555e-08
0.6354321.7843532.674557e-08
0.6363241.7842922.669552e-08
0.6372171.7842322.664540e-08
0.6381111.7841722.659521e-08
0.6390071.7841122.654495e-08
0.6399041.7840522.649461e-08
0.6408021.7839922.644421e-08
0.6417011.7839332.639374e-08
0.6426021.7838732.634319e-08
0.6435041.7838142.629258e-08
0.6444071.7837552.624189e-08
0.6453111.7836962.619114e-08
0.6462171.7836372.614031e-08
0.6471241.7835782.608941e-08
0.6480321.783522.603844e-08
0.6489421.7834612.598739e-08
0.6498521.7834032.593628e-08
0.651.7833942.592800e-08
0.6507651.7833452.561674e-08
0.6516781.7832872.524491e-08
0.6525931.7832292.487256e-08
0.6535091.7831722.449969e-08
0.6544261.7831142.412629e-08
0.6553441.7830572.375237e-08
0.6562641.7832.337793e-08
0.6571851.7829422.300296e-08
0.6581081.7828862.262746e-08
0.6590311.7828292.225144e-08
0.6599561.7827722.187489e-08
0.6608821.7827162.149781e-08
0.661811.7826592.112020e-08
0.6627391.7826032.074206e-08
0.6636691.7825472.036339e-08
0.6646011.7824911.998419e-08
0.6655331.7824351.960445e-08
0.6664671.782381.922419e-08
0.6674031.7823241.884339e-08
0.668341.7822691.846205e-08
0.6692781.7822131.808018e-08
0.6702171.7821581.769777e-08
0.6711581.7821031.731483e-08
0.67211.7820491.693135e-08
0.6730431.7819941.654733e-08
0.6739881.7819391.616278e-08
0.6749331.7818851.577768e-08
0.6758811.7818311.539204e-08
0.6768291.7817761.500586e-08
0.6777791.7817221.461914e-08
0.6787311.7816681.423188e-08
0.6796831.7816151.384407e-08
0.6806371.7815611.345572e-08
0.6815921.7815071.306682e-08
0.6825491.7814541.267738e-08
0.6835071.7814011.228739e-08
0.6844661.7813481.189685e-08
0.6854271.7812951.150577e-08
0.6863891.7812421.111414e-08
0.6873521.7811891.072195e-08
0.6883171.7811361.032922e-08
0.6892831.7810849.935934e-09
0.6902511.7810329.542098e-09
0.6912191.7809799.147708e-09
0.692191.7809278.752765e-09
0.6931611.7808758.357268e-09
0.6941341.7808237.961215e-09
0.6951081.7807727.564607e-09
0.6960841.780727.167442e-09
0.6970611.7806696.769720e-09
0.6980391.7806176.371439e-09
0.6990191.7805665.972599e-09
0.71.7805155.573200e-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
—