Optical constants

Refractive index of E-LASF013 (HIKARI)

E-LASF013: 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
1.80439
Extinction coefficient k
2.09233e-08
Permittivity ε1
3.25584
Permittivity ε2
7.55079e-08
Absorption coefficient α
0.00447465 cm⁻¹
Penetration depth δ = λ/(2πk)
4.46962e+09 nm
Abbe number Vd
39.579
Chromatic dispersion dn/dλ
-0.103561 µm⁻¹
Group index ng
1.86525
Group velocity dispersion
196.331 fs²/mm
Dispersion parameter D
-1071.09 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-LASF013 (HIKARI): E-LASF013
hikari_e_lasf013 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LASF013", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lasf013.range_nm)  # (400, 700) nm
eps = hikari_e_lasf013.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=3.16454973−0.0146684282⁢λ2.0+0.030386787⁢λ−2.0+0.00102933823⁢λ−4.0−2.54435589×10-5⁢λ−6.0+4.67271608×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.16454973
C2-0.0146684282
C32.0
C40.030386787
C5-2.0
C60.00102933823
C7-4.0
C8-2.54435589e-05
C9-6.0
C104.67271608e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.804398
Vd
39.578982
glass code
804396
glass status
preferred
density
value: 4200
thermal expansion
value: 6.5e-06, temperature range: 243 343
dPgF
-0.0052

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-LASF013 (HIKARI), E-LASF013: n and k versus wavelength
λ (µm)nk
0.41.8420772.619500e-07
0.4005611.8418622.589167e-07
0.4011241.8416482.558791e-07
0.4016871.8414352.528373e-07
0.402251.8412232.497912e-07
0.4028151.8410122.467408e-07
0.403381.8408012.436862e-07
0.4039461.8405912.406272e-07
0.4045131.8403822.375640e-07
0.4050811.8401742.344965e-07
0.405651.8399672.314246e-07
0.4062191.839762.283485e-07
0.4067891.8395552.252680e-07
0.407361.839352.221832e-07
0.4079321.8391452.190941e-07
0.4085041.8389422.160006e-07
0.4090781.8387392.129028e-07
0.4096521.8385382.098007e-07
0.4102271.8383372.066942e-07
0.4108031.8381362.035833e-07
0.4113791.8379372.004681e-07
0.4119571.8377381.973485e-07
0.4125351.837541.942245e-07
0.4131141.8373431.910961e-07
0.4136941.8371461.879634e-07
0.4142741.836951.848262e-07
0.4148561.8367551.816847e-07
0.4154381.8365611.785387e-07
0.4160211.8363681.753883e-07
0.4166051.8361751.722335e-07
0.417191.8359831.690743e-07
0.4177751.8357911.659106e-07
0.4183621.8356011.627425e-07
0.4189491.8354111.595700e-07
0.4195371.8352211.563930e-07
0.421.8350731.538900e-07
0.4201261.8350331.536161e-07
0.4207151.8348451.523297e-07
0.4213061.8346581.510416e-07
0.4218971.8344721.497516e-07
0.4224891.8342861.484599e-07
0.4230821.8341011.471663e-07
0.4236761.8339161.458709e-07
0.4242711.8337331.445737e-07
0.4248661.833551.432746e-07
0.4254621.8333671.419738e-07
0.426061.8331861.406711e-07
0.4266581.8330051.393666e-07
0.4272561.8328241.380603e-07
0.4278561.8326451.367521e-07
0.4284571.8324661.354421e-07
0.4290581.8322871.341302e-07
0.429661.832111.328165e-07
0.4302631.8319331.315010e-07
0.4308671.8317561.301836e-07
0.4314721.8315811.288644e-07
0.4320771.8314061.275433e-07
0.4326841.8312311.262204e-07
0.4332911.8310571.248956e-07
0.4338991.8308841.235689e-07
0.4345081.8307111.222404e-07
0.4351181.830541.209100e-07
0.4357291.8303681.195778e-07
0.436341.8301971.182437e-07
0.4369531.8300271.169077e-07
0.4375661.8298581.155698e-07
0.438181.8296891.142301e-07
0.4387951.8295211.128885e-07
0.4394111.8293531.115450e-07
0.441.8291941.102600e-07
0.4400281.8291861.102253e-07
0.4406451.829021.094507e-07
0.4412641.8288541.086750e-07
0.4418831.8286891.078983e-07
0.4425031.8285241.071204e-07
0.4431241.828361.063415e-07
0.4437461.8281961.055614e-07
0.4443691.8280331.047803e-07
0.4449931.8278711.039981e-07
0.4456171.8277091.032147e-07
0.4462431.8275481.024303e-07
0.4468691.8273881.016448e-07
0.4474961.8272271.008582e-07
0.4481241.8270681.000704e-07
0.4487531.8269099.928160e-08
0.4493831.8267519.849166e-08
0.4500141.8265939.770061e-08
0.4506451.8264369.690845e-08
0.4512781.8262799.611517e-08
0.4519111.8261239.532078e-08
0.4525461.8259679.452528e-08
0.4531811.8258129.372866e-08
0.4538171.8256589.293092e-08
0.4544541.8255049.213207e-08
0.4550921.825359.133209e-08
0.455731.8251979.053099e-08
0.456371.8250458.972876e-08
0.4570111.8248938.892541e-08
0.4576521.8247428.812093e-08
0.4582941.8245918.731532e-08
0.4589381.8244418.650859e-08
0.4595821.8242918.570071e-08
0.461.8241948.517600e-08
0.4602271.8241428.495293e-08
0.4608731.8239938.431726e-08
0.4615191.8238458.368070e-08
0.4621671.8236988.304324e-08
0.4628161.823558.240489e-08
0.4634651.8234048.176564e-08
0.4641161.8232588.112550e-08
0.4647671.8231128.048445e-08
0.465421.8229677.984251e-08
0.4660731.8228227.919967e-08
0.4667271.8226787.855592e-08
0.4673821.8225347.791127e-08
0.4680381.8223917.726572e-08
0.4686951.8222497.661926e-08
0.4693531.8221077.597189e-08
0.4700121.8219657.532361e-08
0.4706711.8218247.467442e-08
0.4713321.8216837.402433e-08
0.4719931.8215437.337332e-08
0.4726561.8214037.272139e-08
0.4733191.8212647.206855e-08
0.4739841.8211257.141480e-08
0.4746491.8209867.076013e-08
0.4753151.8208497.010454e-08
0.4759821.8207116.944802e-08
0.476651.8205746.879059e-08
0.4773191.8204386.813224e-08
0.4779891.8203026.747296e-08
0.478661.8201666.681275e-08
0.4793321.8200316.615162e-08
0.481.8198976.549400e-08
0.4800051.8198966.549097e-08
0.4806781.8197626.503861e-08
0.4813531.8196286.458562e-08
0.4820281.8194956.413200e-08
0.4827051.8193626.367773e-08
0.4833821.819236.322283e-08
0.4840611.8190986.276729e-08
0.484741.8189666.231111e-08
0.4854211.8188356.185429e-08
0.4861021.8187046.139683e-08
0.4867841.8185746.093873e-08
0.4874671.8184446.047998e-08
0.4881521.8183156.002059e-08
0.4888371.8181865.956056e-08
0.4895231.8180585.909988e-08
0.490211.817935.863855e-08
0.4908981.8178025.817658e-08
0.4915871.8176755.771396e-08
0.4922771.8175485.725069e-08
0.4929681.8174225.678676e-08
0.493661.8172965.632219e-08
0.4943531.817175.585697e-08
0.4950461.8170455.539109e-08
0.4957411.816925.492456e-08
0.4964371.8167965.445737e-08
0.4971341.8166725.398953e-08
0.4978321.8165485.352103e-08
0.498531.8164255.305187e-08
0.499231.8163035.258206e-08
0.4999311.816185.211158e-08
0.51.8161685.206500e-08
0.5006321.8160585.173969e-08
0.5013351.8159375.137817e-08
0.5020391.8158165.101615e-08
0.5027431.8156955.065362e-08
0.5034491.8155755.029058e-08
0.5041551.8154554.992703e-08
0.5048631.8153354.956297e-08
0.5055721.8152164.919840e-08
0.5062811.8150974.883332e-08
0.5069921.8149794.846773e-08
0.5077031.8148614.810162e-08
0.5084161.8147434.773500e-08
0.509131.8146264.736787e-08
0.5098441.8145094.700021e-08
0.510561.8143934.663205e-08
0.5112761.8142774.626336e-08
0.5119941.8141614.589416e-08
0.5127121.8140464.552444e-08
0.5134321.8139314.515421e-08
0.5141531.8138164.478345e-08
0.5148741.8137024.441217e-08
0.5155971.8135884.404037e-08
0.5163211.8134754.366805e-08
0.5170451.8133614.329521e-08
0.5177711.8132494.292184e-08
0.5184981.8131364.254795e-08
0.5192251.8130244.217354e-08
0.5199541.8129124.179859e-08
0.5206841.8128014.142313e-08
0.5214151.812694.104713e-08
0.5221471.8125794.067061e-08
0.5228791.8124694.029356e-08
0.5236131.8123593.991598e-08
0.5243481.812253.953787e-08
0.5250841.812143.915923e-08
0.5258211.8120313.878006e-08
0.5265591.8119233.840036e-08
0.5272981.8118153.802012e-08
0.5280381.8117073.763935e-08
0.5287791.8115993.725804e-08
0.5295211.8114923.687620e-08
0.5302651.8113853.649383e-08
0.5310091.8112793.611091e-08
0.5317541.8111723.572746e-08
0.5325011.8110673.534348e-08
0.5332481.8109613.495895e-08
0.5339961.8108563.457388e-08
0.5347461.8107513.418827e-08
0.5354961.8106463.380213e-08
0.5362481.8105423.341544e-08
0.5370011.8104383.302820e-08
0.5377541.8103353.264043e-08
0.5385091.8102323.225210e-08
0.5392651.8101293.186324e-08
0.5400221.8100263.147383e-08
0.540781.8099243.108387e-08
0.5415391.8098223.069336e-08
0.5422991.809723.030231e-08
0.543061.8096192.991071e-08
0.5438221.8095182.951855e-08
0.5445851.8094172.912585e-08
0.545351.8093172.873260e-08
0.5461151.8092172.833879e-08
0.5468821.8091172.794443e-08
0.5476491.8090182.754952e-08
0.5484181.8089182.715405e-08
0.5491871.808822.675803e-08
0.5499581.8087212.636146e-08
0.551.8087162.634000e-08
0.550731.8086232.623481e-08
0.5515031.8085252.612346e-08
0.5522771.8084272.601195e-08
0.5530521.808332.590028e-08
0.5538291.8082332.578846e-08
0.5546061.8081362.567648e-08
0.5553841.808042.556434e-08
0.5561641.8079432.545205e-08
0.5569441.8078482.533959e-08
0.5577261.8077522.522698e-08
0.5585091.8076572.511422e-08
0.5592931.8075622.500129e-08
0.5600781.8074672.488820e-08
0.5608641.8073732.477496e-08
0.5616511.8072792.466156e-08
0.5624391.8071852.454800e-08
0.5632291.8070912.443428e-08
0.5640191.8069982.432040e-08
0.5648111.8069052.420635e-08
0.5656041.8068122.409215e-08
0.5663971.806722.397779e-08
0.5671921.8066282.386327e-08
0.5679881.8065362.374859e-08
0.5687861.8064442.363375e-08
0.5695841.8063532.351874e-08
0.5703831.8062622.340358e-08
0.5711841.8061712.328825e-08
0.5719861.8060812.317276e-08
0.5727881.805992.305711e-08
0.5735921.80592.294130e-08
0.5743971.8058112.282532e-08
0.5752041.8057212.270918e-08
0.5760111.8056322.259288e-08
0.5768191.8055432.247641e-08
0.5776291.8054552.235979e-08
0.578441.8053662.224299e-08
0.5792511.8052782.212604e-08
0.5800641.805192.200892e-08
0.5808791.8051032.189163e-08
0.5816941.8050152.177418e-08
0.582511.8049282.165657e-08
0.5833281.8048422.153879e-08
0.5841471.8047552.142085e-08
0.5849661.8046692.130274e-08
0.5857871.8045832.118446e-08
0.586611.8044972.106602e-08
0.5874331.8044112.094741e-08
0.5882571.8043262.082864e-08
0.5890831.8042412.070969e-08
0.589911.8041562.059059e-08
0.5907381.8040722.047131e-08
0.5915671.8039882.035187e-08
0.5923971.8039032.023226e-08
0.5932291.803822.011248e-08
0.5940611.8037361.999253e-08
0.5948951.8036531.987242e-08
0.595731.803571.975213e-08
0.5965661.8034871.963168e-08
0.5974031.8034041.951106e-08
0.5982421.8033221.939027e-08
0.5990821.803241.926931e-08
0.5999221.8031581.914818e-08
0.61.8031511.913700e-08
0.6007641.8030771.916138e-08
0.6016081.8029951.918828e-08
0.6024521.8029141.921522e-08
0.6032981.8028331.924219e-08
0.6041441.8027521.926920e-08
0.6049921.8026721.929625e-08
0.6058411.8025921.932334e-08
0.6066921.8025121.935046e-08
0.6075431.8024321.937763e-08
0.6083961.8023531.940483e-08
0.609251.8022731.943207e-08
0.6101051.8021941.945935e-08
0.6109611.8021151.948666e-08
0.6118191.8020371.951402e-08
0.6126771.8019581.954141e-08
0.6135371.801881.956884e-08
0.6143981.8018021.959631e-08
0.6152611.8017251.962382e-08
0.6161241.8016471.965136e-08
0.6169891.801571.967895e-08
0.6178551.8014931.970657e-08
0.6187221.8014161.973424e-08
0.6195911.8013391.976194e-08
0.620461.8012631.978968e-08
0.6213311.8011871.981746e-08
0.6222031.8011111.984528e-08
0.6230761.8010351.987313e-08
0.6239511.8009591.990103e-08
0.6248271.8008841.992897e-08
0.6257041.8008091.995694e-08
0.6265821.8007341.998496e-08
0.6274611.8006592.001301e-08
0.6283421.8005852.004110e-08
0.6292241.8005112.006924e-08
0.6301071.8004362.009741e-08
0.6309911.8003632.012562e-08
0.6318771.8002892.015387e-08
0.6327641.8002162.018216e-08
0.6336521.8001422.021049e-08
0.6345411.8000692.023886e-08
0.6354321.7999962.026727e-08
0.6363241.7999242.029572e-08
0.6372171.7998512.032421e-08
0.6381111.7997792.035274e-08
0.6390071.7997072.038131e-08
0.6399041.7996352.040992e-08
0.6408021.7995642.043857e-08
0.6417011.7994922.046726e-08
0.6426021.7994212.049599e-08
0.6435041.799352.052476e-08
0.6444071.7992792.055358e-08
0.6453111.7992082.058243e-08
0.6462171.7991382.061132e-08
0.6471241.7990682.064025e-08
0.6480321.7989982.066923e-08
0.6489421.7989282.069824e-08
0.6498521.7988582.072729e-08
0.651.7988472.073200e-08
0.6507651.7987882.050020e-08
0.6516781.7987192.022329e-08
0.6525931.798651.994599e-08
0.6535091.7985811.966830e-08
0.6544261.7985121.939022e-08
0.6553441.7984441.911175e-08
0.6562641.7983751.883289e-08
0.6571851.7983071.855364e-08
0.6581081.7982391.827400e-08
0.6590311.7981711.799396e-08
0.6599561.7981041.771353e-08
0.6608821.7980361.743271e-08
0.661811.7979691.715149e-08
0.6627391.7979021.686988e-08
0.6636691.7978351.658787e-08
0.6646011.7977681.630547e-08
0.6655331.7977021.602267e-08
0.6664671.7976351.573948e-08
0.6674031.7975691.545589e-08
0.668341.7975031.517189e-08
0.6692781.7974371.488751e-08
0.6702171.7973711.460272e-08
0.6711581.7973061.431753e-08
0.67211.7972411.403194e-08
0.6730431.7971751.374595e-08
0.6739881.797111.345956e-08
0.6749331.7970461.317277e-08
0.6758811.7969811.288557e-08
0.6768291.7969171.259797e-08
0.6777791.7968521.230997e-08
0.6787311.7967881.202156e-08
0.6796831.7967241.173275e-08
0.6806371.796661.144354e-08
0.6815921.7965971.115391e-08
0.6825491.7965331.086388e-08
0.6835071.796471.057345e-08
0.6844661.7964071.028261e-08
0.6854271.7963449.991354e-09
0.6863891.7962819.699693e-09
0.6873521.7962189.407623e-09
0.6883171.7961569.115143e-09
0.6892831.7960948.822253e-09
0.6902511.7960318.528951e-09
0.6912191.7959698.235238e-09
0.692191.7959087.941113e-09
0.6931611.7958467.646575e-09
0.6941341.7957847.351623e-09
0.6951081.7957237.056258e-09
0.6960841.7956626.760478e-09
0.6970611.7956016.464282e-09
0.6980391.795546.167671e-09
0.6990191.7954795.870644e-09
0.71.7954195.573200e-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
—