Optical constants

Refractive index of E-LAF2 (HIKARI)

E-LAF2: 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
1.74399
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.04151
Permittivity ε2
1.63178e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
44.786
Chromatic dispersion dn/dλ
-0.0849002 µm⁻¹
Group index ng
1.79388
Group velocity dispersion
159.009 fs²/mm
Dispersion parameter D
-867.479 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-LAF2 (HIKARI): E-LAF2
hikari_e_laf2 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LAF2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_laf2.range_nm)  # (400, 700) nm
eps = hikari_e_laf2.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=2.9684827−0.0116032701⁢λ2.0+0.0244833672⁢λ−2.0+0.000775976856⁢λ−4.0−2.44342622×10-5⁢λ−6.0+3.01832049×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.9684827
C2-0.0116032701
C32.0
C40.0244833672
C5-2.0
C60.000775976856
C7-4.0
C8-2.44342622e-05
C9-6.0
C103.01832049e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.743997
Vd
44.786312
glass code
744448
glass status
preferred
density
value: 4160
thermal expansion
value: 7.6e-06, temperature range: 243 343
dPgF
-0.0037

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-LAF2 (HIKARI), E-LAF2: n and k versus wavelength
λ (µm)nk
0.41.7744291.101100e-07
0.4005611.7742591.078673e-07
0.4011241.7740891.056215e-07
0.4016871.773921.033725e-07
0.402251.7737511.011204e-07
0.4028151.7735839.886512e-08
0.403381.7734169.660666e-08
0.4039461.7732499.434504e-08
0.4045131.7730839.208024e-08
0.4050811.7729188.981226e-08
0.405651.7727538.754110e-08
0.4062191.7725888.526675e-08
0.4067891.7724258.298921e-08
0.407361.7722628.070847e-08
0.4079321.7720997.842454e-08
0.4085041.7719377.613739e-08
0.4090781.7717767.384704e-08
0.4096521.7716157.155347e-08
0.4102271.7714556.925668e-08
0.4108031.7712966.695667e-08
0.4113791.7711376.465343e-08
0.4119571.7709786.234696e-08
0.4125351.770826.003725e-08
0.4131141.7706635.772430e-08
0.4136941.7705065.540810e-08
0.4142741.770355.308866e-08
0.4148561.7701945.076595e-08
0.4154381.7700394.843999e-08
0.4160211.7698854.611076e-08
0.4166051.7697314.377826e-08
0.417191.7695784.144249e-08
0.4177751.7694253.910344e-08
0.4183621.7692733.676111e-08
0.4189491.7691213.441549e-08
0.4195371.768973.206658e-08
0.421.7688513.021600e-08
0.4201261.7688193.004828e-08
0.4207151.7686692.926071e-08
0.4213061.7685192.847203e-08
0.4218971.768372.768225e-08
0.4224891.7682222.689135e-08
0.4230821.7680732.609935e-08
0.4236761.7679262.530624e-08
0.4242711.7677792.451201e-08
0.4248661.7676332.371667e-08
0.4254621.7674872.292021e-08
0.426061.7673412.212263e-08
0.4266581.7671962.132394e-08
0.4272561.7670522.052412e-08
0.4278561.7669081.972318e-08
0.4284571.7667641.892112e-08
0.4290581.7666221.811793e-08
0.429661.7664791.731361e-08
0.4302631.7663371.650817e-08
0.4308671.7661961.570159e-08
0.4314721.7660551.489388e-08
0.4320771.7659141.408504e-08
0.4326841.7657751.327506e-08
0.4332911.7656351.246395e-08
0.4338991.7654961.165170e-08
0.4345081.7653581.083831e-08
0.4351181.765221.002377e-08
0.4357291.7650829.208095e-09
0.436341.7649458.391274e-09
0.4369531.7648087.573305e-09
0.4375661.7646726.754189e-09
0.438181.7645375.933923e-09
0.4387951.7644015.112506e-09
0.4394111.7642674.289936e-09
0.441.7641383.503200e-09
0.4400281.7641323.503420e-09
0.4406451.7639993.508336e-09
0.4412641.7638653.513259e-09
0.4418831.7637323.518189e-09
0.4425031.76363.523126e-09
0.4431241.7634683.528070e-09
0.4437461.7633363.533020e-09
0.4443691.7632053.537978e-09
0.4449931.7630753.542942e-09
0.4456171.7629453.547914e-09
0.4462431.7628153.552892e-09
0.4468691.7626863.557878e-09
0.4474961.7625573.562870e-09
0.4481241.7624283.567870e-09
0.4487531.76233.572876e-09
0.4493831.7621733.577890e-09
0.4500141.7620463.582910e-09
0.4506451.7619193.587938e-09
0.4512781.7617933.592973e-09
0.4519111.7616673.598014e-09
0.4525461.7615413.603063e-09
0.4531811.7614163.608119e-09
0.4538171.7612923.613182e-09
0.4544541.7611683.618252e-09
0.4550921.7610443.623329e-09
0.455731.7609213.628414e-09
0.456371.7607983.633505e-09
0.4570111.7606753.638604e-09
0.4576521.7605533.643709e-09
0.4582941.7604313.648822e-09
0.4589381.760313.653943e-09
0.4595821.7601893.659070e-09
0.461.7601113.662400e-09
0.4602271.7600693.664204e-09
0.4608731.7599493.669346e-09
0.4615191.7598293.674495e-09
0.4621671.759713.679651e-09
0.4628161.7595913.684814e-09
0.4634651.7594723.689985e-09
0.4641161.7593543.695163e-09
0.4647671.7592373.700348e-09
0.465421.7591193.705541e-09
0.4660731.7590023.710740e-09
0.4667271.7588863.715947e-09
0.4673821.758773.721162e-09
0.4680381.7586543.726383e-09
0.4686951.7585393.731612e-09
0.4693531.7584243.736848e-09
0.4700121.7583093.742092e-09
0.4706711.7581953.747343e-09
0.4713321.7580813.752602e-09
0.4719931.7579673.757867e-09
0.4726561.7578543.763140e-09
0.4733191.7577413.768421e-09
0.4739841.7576293.773709e-09
0.4746491.7575173.779004e-09
0.4753151.7574053.784307e-09
0.4759821.7572943.789617e-09
0.476651.7571833.794935e-09
0.4773191.7570733.800260e-09
0.4779891.7569623.805593e-09
0.478661.7568523.810933e-09
0.4793321.7567433.816281e-09
0.481.7566353.821600e-09
0.4800051.7566343.821636e-09
0.4806781.7565253.827002e-09
0.4813531.7564173.832376e-09
0.4820281.7563093.837757e-09
0.4827051.7562013.843145e-09
0.4833821.7560933.848541e-09
0.4840611.7559863.853945e-09
0.484741.755883.859357e-09
0.4854211.7557733.864776e-09
0.4861021.7556673.870202e-09
0.4867841.7555623.875636e-09
0.4874671.7554563.881078e-09
0.4881521.7553523.886528e-09
0.4888371.7552473.891985e-09
0.4895231.7551433.897450e-09
0.490211.7550393.902922e-09
0.4908981.7549353.908402e-09
0.4915871.7548323.913890e-09
0.4922771.7547293.919385e-09
0.4929681.7546263.924889e-09
0.493661.7545243.930400e-09
0.4943531.7544223.935918e-09
0.4950461.754323.941445e-09
0.4957411.7542193.946979e-09
0.4964371.7541183.952521e-09
0.4971341.7540173.958071e-09
0.4978321.7539173.963628e-09
0.498531.7538173.969193e-09
0.499231.7537173.974766e-09
0.4999311.7536173.980347e-09
0.51.7536083.980900e-09
0.5006321.7535183.985934e-09
0.5013351.753423.991529e-09
0.5020391.7533213.997131e-09
0.5027431.7532234.002741e-09
0.5034491.7531254.008360e-09
0.5041551.7530284.013986e-09
0.5048631.752934.019619e-09
0.5055721.7528334.025261e-09
0.5062811.7527374.030911e-09
0.5069921.752644.036569e-09
0.5077031.7525444.042234e-09
0.5084161.7524494.047908e-09
0.509131.7523534.053589e-09
0.5098441.7522584.059279e-09
0.510561.7521634.064976e-09
0.5112761.7520694.070682e-09
0.5119941.7519754.076395e-09
0.5127121.7518814.082117e-09
0.5134321.7517874.087846e-09
0.5141531.7516944.093584e-09
0.5148741.7516014.099329e-09
0.5155971.7515084.105083e-09
0.5163211.7514154.110845e-09
0.5170451.7513234.116614e-09
0.5177711.7512314.122392e-09
0.5184981.751144.128178e-09
0.5192251.7510484.133973e-09
0.5199541.7509574.139775e-09
0.5206841.7508674.145585e-09
0.5214151.7507764.151404e-09
0.5221471.7506864.157231e-09
0.5228791.7505964.163066e-09
0.5236131.7505064.168909e-09
0.5243481.7504174.174760e-09
0.5250841.7503284.180620e-09
0.5258211.7502394.186487e-09
0.5265591.7501514.192363e-09
0.5272981.7500624.198248e-09
0.5280381.7499744.204140e-09
0.5287791.7498874.210041e-09
0.5295211.7497994.215950e-09
0.5302651.7497124.221867e-09
0.5310091.7496254.227793e-09
0.5317541.7495384.233727e-09
0.5325011.7494524.239669e-09
0.5332481.7493664.245620e-09
0.5339961.749284.251579e-09
0.5347461.7491944.257546e-09
0.5354961.7491094.263522e-09
0.5362481.7490244.269506e-09
0.5370011.7489394.275499e-09
0.5377541.7488554.281500e-09
0.5385091.748774.287509e-09
0.5392651.7486864.293527e-09
0.5400221.7486034.299553e-09
0.540781.7485194.305588e-09
0.5415391.7484364.311631e-09
0.5422991.7483534.317682e-09
0.543061.748274.323743e-09
0.5438221.7481874.329811e-09
0.5445851.7481054.335888e-09
0.545351.7480234.341974e-09
0.5461151.7479414.348068e-09
0.5468821.747864.354171e-09
0.5476491.7477784.360282e-09
0.5484181.7476974.366402e-09
0.5491871.7476174.372531e-09
0.5499581.7475364.378668e-09
0.551.7475324.379000e-09
0.550731.7474564.384812e-09
0.5515031.7473764.390965e-09
0.5522771.7472964.397126e-09
0.5530521.7472164.403297e-09
0.5538291.7471374.409475e-09
0.5546061.7470584.415663e-09
0.5553841.7469794.421859e-09
0.5561641.74694.428064e-09
0.5569441.7468224.434277e-09
0.5577261.7467444.440499e-09
0.5585091.7466664.446730e-09
0.5592931.7465884.452970e-09
0.5600781.7465114.459219e-09
0.5608641.7464334.465476e-09
0.5616511.7463564.471742e-09
0.5624391.746284.478017e-09
0.5632291.7462034.484300e-09
0.5640191.7461274.490593e-09
0.5648111.7460514.496894e-09
0.5656041.7459754.503204e-09
0.5663971.7458994.509523e-09
0.5671921.7458244.515851e-09
0.5679881.7457484.522188e-09
0.5687861.7456734.528533e-09
0.5695841.7455994.534888e-09
0.5703831.7455244.541251e-09
0.5711841.745454.547624e-09
0.5719861.7453764.554005e-09
0.5727881.7453024.560395e-09
0.5735921.7452284.566795e-09
0.5743971.7451554.573203e-09
0.5752041.7450814.579620e-09
0.5760111.7450084.586046e-09
0.5768191.7449364.592481e-09
0.5776291.7448634.598926e-09
0.578441.7447914.605379e-09
0.5792511.7447184.611841e-09
0.5800641.7446464.618313e-09
0.5808791.7445754.624793e-09
0.5816941.7445034.631283e-09
0.582511.7444324.637782e-09
0.5833281.7443614.644290e-09
0.5841471.744294.650807e-09
0.5849661.7442194.657333e-09
0.5857871.7441484.663868e-09
0.586611.7440784.670413e-09
0.5874331.7440084.676966e-09
0.5882571.7439384.683529e-09
0.5890831.7438684.690101e-09
0.589911.7437994.696682e-09
0.5907381.743734.703273e-09
0.5915671.743664.709873e-09
0.5923971.7435924.716482e-09
0.5932291.7435234.723100e-09
0.5940611.7434544.729728e-09
0.5948951.7433864.736365e-09
0.595731.7433184.743011e-09
0.5965661.743254.749666e-09
0.5974031.7431824.756331e-09
0.5982421.7431154.763006e-09
0.5990821.7430474.769689e-09
0.5999221.742984.776382e-09
0.61.7429744.777000e-09
0.6007641.7429134.783086e-09
0.6016081.7428464.789800e-09
0.6024521.742784.796523e-09
0.6032981.7427134.803255e-09
0.6041441.7426474.809997e-09
0.6049921.7425814.816748e-09
0.6058411.7425154.823509e-09
0.6066921.742454.830279e-09
0.6075431.7423844.837059e-09
0.6083961.7423194.843848e-09
0.609251.7422544.850647e-09
0.6101051.7421894.857455e-09
0.6109611.7421244.864273e-09
0.6118191.742064.871100e-09
0.6126771.7419954.877937e-09
0.6135371.7419314.884784e-09
0.6143981.7418674.891640e-09
0.6152611.7418044.898506e-09
0.6161241.741744.905381e-09
0.6169891.7416764.912266e-09
0.6178551.7416134.919161e-09
0.6187221.741554.926066e-09
0.6195911.7414874.932980e-09
0.620461.7414244.939904e-09
0.6213311.7413624.946837e-09
0.6222031.7412994.953781e-09
0.6230761.7412374.960734e-09
0.6239511.7411754.967697e-09
0.6248271.7411134.974669e-09
0.6257041.7410524.981652e-09
0.6265821.740994.988644e-09
0.6274611.7409294.995646e-09
0.6283421.7408675.002658e-09
0.6292241.7408065.009679e-09
0.6301071.7407465.016711e-09
0.6309911.7406855.023752e-09
0.6318771.7406245.030803e-09
0.6327641.7405645.037865e-09
0.6336521.7405045.044936e-09
0.6345411.7404445.052017e-09
0.6354321.7403845.059108e-09
0.6363241.7403245.066208e-09
0.6372171.7402655.073319e-09
0.6381111.7402055.080440e-09
0.6390071.7401465.087571e-09
0.6399041.7400875.094712e-09
0.6408021.7400285.101863e-09
0.6417011.7399695.109024e-09
0.6426021.7399115.116194e-09
0.6435041.7398525.123375e-09
0.6444071.7397945.130567e-09
0.6453111.7397365.137768e-09
0.6462171.7396785.144979e-09
0.6471241.739625.152200e-09
0.6480321.7395635.159432e-09
0.6489421.7395055.166674e-09
0.6498521.7394485.173926e-09
0.651.7394395.175100e-09
0.6507651.7393915.181188e-09
0.6516781.7393345.188460e-09
0.6525931.7392775.195742e-09
0.6535091.739225.203035e-09
0.6544261.7391645.210338e-09
0.6553441.7391075.217651e-09
0.6562641.7390515.224974e-09
0.6571851.7389955.232308e-09
0.6581081.7389395.239652e-09
0.6590311.7388835.247006e-09
0.6599561.7388285.254371e-09
0.6608821.7387725.261746e-09
0.661811.7387175.269131e-09
0.6627391.7386625.276527e-09
0.6636691.7386065.283933e-09
0.6646011.7385525.291349e-09
0.6655331.7384975.298776e-09
0.6664671.7384425.306213e-09
0.6674031.7383885.313661e-09
0.668341.7383335.321119e-09
0.6692781.7382795.328588e-09
0.6702171.7382255.336067e-09
0.6711581.7381715.343557e-09
0.67211.7381175.351057e-09
0.6730431.7380645.358567e-09
0.6739881.738015.366089e-09
0.6749331.7379575.373620e-09
0.6758811.7379045.381163e-09
0.6768291.7378515.388716e-09
0.6777791.7377985.396279e-09
0.6787311.7377455.403853e-09
0.6796831.7376925.411438e-09
0.6806371.737645.419033e-09
0.6815921.7375875.426639e-09
0.6825491.7375355.434256e-09
0.6835071.7374835.441884e-09
0.6844661.7374315.449522e-09
0.6854271.7373795.457171e-09
0.6863891.7373285.464830e-09
0.6873521.7372765.472500e-09
0.6883171.7372255.480182e-09
0.6892831.7371735.487873e-09
0.6902511.7371225.495576e-09
0.6912191.7370715.503290e-09
0.692191.737025.511014e-09
0.6931611.7369695.518749e-09
0.6941341.7369195.526495e-09
0.6951081.7368685.534252e-09
0.6960841.7368185.542020e-09
0.6970611.7367675.549798e-09
0.6980391.7367175.557588e-09
0.6990191.7366675.565389e-09
0.71.7366175.573200e-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
—