Optical constants

Refractive index of E-LAF02 (HIKARI)

E-LAF02: 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
1.72
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.95839
Permittivity ε2
1.60933e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
43.683
Chromatic dispersion dn/dλ
-0.084092 µm⁻¹
Group index ng
1.76941
Group velocity dispersion
158.743 fs²/mm
Dispersion parameter D
-866.028 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-LAF02 (HIKARI): E-LAF02
hikari_e_laf02 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LAF02", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_laf02.range_nm)  # (400, 700) nm
eps = hikari_e_laf02.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=2.88761613−0.0113224055⁢λ2.0+0.0234620658⁢λ−2.0+0.000879155778⁢λ−4.0−3.93727241×10-5⁢λ−6.0+4.43531743×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.88761613
C2-0.0113224055
C32.0
C40.0234620658
C5-2.0
C60.000879155778
C7-4.0
C8-3.93727241e-05
C9-6.0
C104.43531743e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.720000
Vd
43.683353
glass code
720437
glass status
preferred
density
value: 3660
thermal expansion
value: 8.2e-06, temperature range: 243 343
dPgF
-0.0014

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-LAF02 (HIKARI), E-LAF02: n and k versus wavelength
λ (µm)nk
0.41.7504111.599200e-07
0.4005611.7502391.565636e-07
0.4011241.7500681.532025e-07
0.4016871.7498971.498367e-07
0.402251.7497261.464661e-07
0.4028151.7495571.430908e-07
0.403381.7493881.397108e-07
0.4039461.7492191.363260e-07
0.4045131.7490521.329365e-07
0.4050811.7488851.295422e-07
0.405651.7487181.261432e-07
0.4062191.7485531.227394e-07
0.4067891.7483871.193308e-07
0.407361.7482231.159174e-07
0.4079321.7480591.124993e-07
0.4085041.7478961.090763e-07
0.4090781.7477331.056486e-07
0.4096521.7475711.022160e-07
0.4102271.747419.877860e-08
0.4108031.7472499.533638e-08
0.4113791.7470899.188934e-08
0.4119571.7469298.843745e-08
0.4125351.746778.498072e-08
0.4131141.7466128.151914e-08
0.4136941.7464547.805270e-08
0.4142741.7462967.458140e-08
0.4148561.746147.110522e-08
0.4154381.7459846.762417e-08
0.4160211.7458286.413823e-08
0.4166051.7456736.064739e-08
0.417191.7455195.715166e-08
0.4177751.7453655.365102e-08
0.4183621.7452125.014547e-08
0.4189491.7450594.663499e-08
0.4195371.7449074.311959e-08
0.421.7447884.035000e-08
0.4201261.7447564.011865e-08
0.4207151.7446053.903230e-08
0.4213061.7444543.794442e-08
0.4218971.7443043.685502e-08
0.4224891.7441553.576409e-08
0.4230821.7440063.467162e-08
0.4236761.7438583.357763e-08
0.4242711.743713.248209e-08
0.4248661.7435633.138502e-08
0.4254621.7434173.028641e-08
0.426061.743272.918626e-08
0.4266581.7431252.808456e-08
0.4272561.742982.698132e-08
0.4278561.7428352.587653e-08
0.4284571.7426912.477019e-08
0.4290581.7425482.366230e-08
0.429661.7424052.255285e-08
0.4302631.7422622.144184e-08
0.4308671.7421212.032928e-08
0.4314721.7419791.921515e-08
0.4320771.7418381.809946e-08
0.4326841.7416981.698220e-08
0.4332911.7415581.586338e-08
0.4338991.7414181.474298e-08
0.4345081.741281.362102e-08
0.4351181.7411411.249747e-08
0.4357291.7410031.137235e-08
0.436341.7408661.024566e-08
0.4369531.7407299.117376e-09
0.4375661.7405927.987513e-09
0.438181.7404566.856064e-09
0.4387951.7403215.723027e-09
0.4394111.7401864.588400e-09
0.441.7400573.503200e-09
0.4400281.7400513.503420e-09
0.4406451.7399173.508336e-09
0.4412641.7397843.513259e-09
0.4418831.7396513.518189e-09
0.4425031.7395183.523126e-09
0.4431241.7393863.528070e-09
0.4437461.7392543.533020e-09
0.4443691.7391233.537978e-09
0.4449931.7389923.542942e-09
0.4456171.7388623.547914e-09
0.4462431.7387323.552892e-09
0.4468691.7386023.557878e-09
0.4474961.7384733.562870e-09
0.4481241.7383453.567870e-09
0.4487531.7382173.572876e-09
0.4493831.7380893.577890e-09
0.4500141.7379623.582910e-09
0.4506451.7378353.587938e-09
0.4512781.7377093.592973e-09
0.4519111.7375833.598014e-09
0.4525461.7374573.603063e-09
0.4531811.7373323.608119e-09
0.4538171.7372083.613182e-09
0.4544541.7370843.618252e-09
0.4550921.736963.623329e-09
0.455731.7368373.628414e-09
0.456371.7367143.633505e-09
0.4570111.7365913.638604e-09
0.4576521.7364693.643709e-09
0.4582941.7363483.648822e-09
0.4589381.7362263.653943e-09
0.4595821.7361063.659070e-09
0.461.7360273.662400e-09
0.4602271.7359853.664204e-09
0.4608731.7358653.669346e-09
0.4615191.7357463.674495e-09
0.4621671.7356273.679651e-09
0.4628161.7355083.684814e-09
0.4634651.7353893.689985e-09
0.4641161.7352723.695163e-09
0.4647671.7351543.700348e-09
0.465421.7350373.705541e-09
0.4660731.734923.710740e-09
0.4667271.7348043.715947e-09
0.4673821.7346883.721162e-09
0.4680381.7345723.726383e-09
0.4686951.7344573.731612e-09
0.4693531.7343423.736848e-09
0.4700121.7342283.742092e-09
0.4706711.7341143.747343e-09
0.4713321.7343.752602e-09
0.4719931.7338873.757867e-09
0.4726561.7337743.763140e-09
0.4733191.7336613.768421e-09
0.4739841.7335493.773709e-09
0.4746491.7334383.779004e-09
0.4753151.7333263.784307e-09
0.4759821.7332153.789617e-09
0.476651.7331053.794935e-09
0.4773191.7329943.800260e-09
0.4779891.7328843.805593e-09
0.478661.7327753.810933e-09
0.4793321.7326663.816281e-09
0.481.7325583.821600e-09
0.4800051.7325573.821636e-09
0.4806781.7324483.827002e-09
0.4813531.732343.832376e-09
0.4820281.7322333.837757e-09
0.4827051.7321253.843145e-09
0.4833821.7320183.848541e-09
0.4840611.7319113.853945e-09
0.484741.7318053.859357e-09
0.4854211.7316993.864776e-09
0.4861021.7315933.870202e-09
0.4867841.7314883.875636e-09
0.4874671.7313833.881078e-09
0.4881521.7312793.886528e-09
0.4888371.7311743.891985e-09
0.4895231.7310713.897450e-09
0.490211.7309673.902922e-09
0.4908981.7308643.908402e-09
0.4915871.7307613.913890e-09
0.4922771.7306583.919385e-09
0.4929681.7305563.924889e-09
0.493661.7304543.930400e-09
0.4943531.7303533.935918e-09
0.4950461.7302513.941445e-09
0.4957411.730153.946979e-09
0.4964371.730053.952521e-09
0.4971341.729953.958071e-09
0.4978321.729853.963628e-09
0.498531.729753.969193e-09
0.499231.7296513.974766e-09
0.4999311.7295523.980347e-09
0.51.7295423.980900e-09
0.5006321.7294533.985934e-09
0.5013351.7293553.991529e-09
0.5020391.7292573.997131e-09
0.5027431.7291594.002741e-09
0.5034491.7290624.008360e-09
0.5041551.7289654.013986e-09
0.5048631.7288684.019619e-09
0.5055721.7287724.025261e-09
0.5062811.7286754.030911e-09
0.5069921.728584.036569e-09
0.5077031.7284844.042234e-09
0.5084161.7283894.047908e-09
0.509131.7282944.053589e-09
0.5098441.7281994.059279e-09
0.510561.7281054.064976e-09
0.5112761.7280114.070682e-09
0.5119941.7279174.076395e-09
0.5127121.7278244.082117e-09
0.5134321.7277314.087846e-09
0.5141531.7276384.093584e-09
0.5148741.7275464.099329e-09
0.5155971.7274534.105083e-09
0.5163211.7273614.110845e-09
0.5170451.727274.116614e-09
0.5177711.7271784.122392e-09
0.5184981.7270874.128178e-09
0.5192251.7269974.133973e-09
0.5199541.7269064.139775e-09
0.5206841.7268164.145585e-09
0.5214151.7267264.151404e-09
0.5221471.7266364.157231e-09
0.5228791.7265474.163066e-09
0.5236131.7264584.168909e-09
0.5243481.7263694.174760e-09
0.5250841.7262814.180620e-09
0.5258211.7261924.186487e-09
0.5265591.7261044.192363e-09
0.5272981.7260174.198248e-09
0.5280381.7259294.204140e-09
0.5287791.7258424.210041e-09
0.5295211.7257554.215950e-09
0.5302651.7256694.221867e-09
0.5310091.7255824.227793e-09
0.5317541.7254964.233727e-09
0.5325011.725414.239669e-09
0.5332481.7253254.245620e-09
0.5339961.725244.251579e-09
0.5347461.7251554.257546e-09
0.5354961.725074.263522e-09
0.5362481.7249854.269506e-09
0.5370011.7249014.275499e-09
0.5377541.7248174.281500e-09
0.5385091.7247334.287509e-09
0.5392651.724654.293527e-09
0.5400221.7245674.299553e-09
0.540781.7244844.305588e-09
0.5415391.7244014.311631e-09
0.5422991.7243194.317682e-09
0.543061.7242374.323743e-09
0.5438221.7241554.329811e-09
0.5445851.7240734.335888e-09
0.545351.7239924.341974e-09
0.5461151.7239114.348068e-09
0.5468821.723834.354171e-09
0.5476491.7237494.360282e-09
0.5484181.7236694.366402e-09
0.5491871.7235884.372531e-09
0.5499581.7235084.378668e-09
0.551.7235044.379000e-09
0.550731.7234294.384812e-09
0.5515031.7233494.390965e-09
0.5522771.723274.397126e-09
0.5530521.7231914.403297e-09
0.5538291.7231124.409475e-09
0.5546061.7230344.415663e-09
0.5553841.7229564.421859e-09
0.5561641.7228784.428064e-09
0.5569441.72284.434277e-09
0.5577261.7227224.440499e-09
0.5585091.7226454.446730e-09
0.5592931.7225684.452970e-09
0.5600781.7224914.459219e-09
0.5608641.7224154.465476e-09
0.5616511.7223384.471742e-09
0.5624391.7222624.478017e-09
0.5632291.7221864.484300e-09
0.5640191.722114.490593e-09
0.5648111.7220354.496894e-09
0.5656041.721964.503204e-09
0.5663971.7218854.509523e-09
0.5671921.721814.515851e-09
0.5679881.7217354.522188e-09
0.5687861.7216614.528533e-09
0.5695841.7215874.534888e-09
0.5703831.7215134.541251e-09
0.5711841.7214394.547624e-09
0.5719861.7213664.554005e-09
0.5727881.7212934.560395e-09
0.5735921.721224.566795e-09
0.5743971.7211474.573203e-09
0.5752041.7210744.579620e-09
0.5760111.7210024.586046e-09
0.5768191.720934.592481e-09
0.5776291.7208584.598926e-09
0.578441.7207864.605379e-09
0.5792511.7207154.611841e-09
0.5800641.7206434.618313e-09
0.5808791.7205724.624793e-09
0.5816941.7205014.631283e-09
0.582511.7204314.637782e-09
0.5833281.720364.644290e-09
0.5841471.720294.650807e-09
0.5849661.720224.657333e-09
0.5857871.720154.663868e-09
0.586611.720084.670413e-09
0.5874331.7200114.676966e-09
0.5882571.7199424.683529e-09
0.5890831.7198734.690101e-09
0.589911.7198044.696682e-09
0.5907381.7197354.703273e-09
0.5915671.7196674.709873e-09
0.5923971.7195984.716482e-09
0.5932291.719534.723100e-09
0.5940611.7194634.729728e-09
0.5948951.7193954.736365e-09
0.595731.7193274.743011e-09
0.5965661.719264.749666e-09
0.5974031.7191934.756331e-09
0.5982421.7191264.763006e-09
0.5990821.719064.769689e-09
0.5999221.7189934.776382e-09
0.61.7189874.777000e-09
0.6007641.7189274.783086e-09
0.6016081.7188614.789800e-09
0.6024521.7187954.796523e-09
0.6032981.7187294.803255e-09
0.6041441.7186644.809997e-09
0.6049921.7185984.816748e-09
0.6058411.7185334.823509e-09
0.6066921.7184684.830279e-09
0.6075431.7184034.837059e-09
0.6083961.7183394.843848e-09
0.609251.7182744.850647e-09
0.6101051.718214.857455e-09
0.6109611.7181464.864273e-09
0.6118191.7180824.871100e-09
0.6126771.7180194.877937e-09
0.6135371.7179554.884784e-09
0.6143981.7178924.891640e-09
0.6152611.7178294.898506e-09
0.6161241.7177664.905381e-09
0.6169891.7177034.912266e-09
0.6178551.717644.919161e-09
0.6187221.7175784.926066e-09
0.6195911.7175164.932980e-09
0.620461.7174534.939904e-09
0.6213311.7173924.946837e-09
0.6222031.717334.953781e-09
0.6230761.7172684.960734e-09
0.6239511.7172074.967697e-09
0.6248271.7171464.974669e-09
0.6257041.7170854.981652e-09
0.6265821.7170244.988644e-09
0.6274611.7169634.995646e-09
0.6283421.7169035.002658e-09
0.6292241.7168425.009679e-09
0.6301071.7167825.016711e-09
0.6309911.7167225.023752e-09
0.6318771.7166625.030803e-09
0.6327641.7166025.037865e-09
0.6336521.7165435.044936e-09
0.6345411.7164845.052017e-09
0.6354321.7164245.059108e-09
0.6363241.7163655.066208e-09
0.6372171.7163075.073319e-09
0.6381111.7162485.080440e-09
0.6390071.7161895.087571e-09
0.6399041.7161315.094712e-09
0.6408021.7160735.101863e-09
0.6417011.7160155.109024e-09
0.6426021.7159575.116194e-09
0.6435041.7158995.123375e-09
0.6444071.7158415.130567e-09
0.6453111.7157845.137768e-09
0.6462171.7157275.144979e-09
0.6471241.715675.152200e-09
0.6480321.7156135.159432e-09
0.6489421.7155565.166674e-09
0.6498521.7154995.173926e-09
0.651.715495.175100e-09
0.6507651.7154435.181188e-09
0.6516781.7153865.188460e-09
0.6525931.715335.195742e-09
0.6535091.7152745.203035e-09
0.6544261.7152185.210338e-09
0.6553441.7151635.217651e-09
0.6562641.7151075.224974e-09
0.6571851.7150525.232308e-09
0.6581081.7149965.239652e-09
0.6590311.7149415.247006e-09
0.6599561.7148865.254371e-09
0.6608821.7148315.261746e-09
0.661811.7147775.269131e-09
0.6627391.7147225.276527e-09
0.6636691.7146685.283933e-09
0.6646011.7146135.291349e-09
0.6655331.7145595.298776e-09
0.6664671.7145055.306213e-09
0.6674031.7144525.313661e-09
0.668341.7143985.321119e-09
0.6692781.7143445.328588e-09
0.6702171.7142915.336067e-09
0.6711581.7142385.343557e-09
0.67211.7141855.351057e-09
0.6730431.7141325.358567e-09
0.6739881.7140795.366089e-09
0.6749331.7140265.373620e-09
0.6758811.7139745.381163e-09
0.6768291.7139215.388716e-09
0.6777791.7138695.396279e-09
0.6787311.7138175.403853e-09
0.6796831.7137655.411438e-09
0.6806371.7137135.419033e-09
0.6815921.7136615.426639e-09
0.6825491.713615.434256e-09
0.6835071.7135585.441884e-09
0.6844661.7135075.449522e-09
0.6854271.7134565.457171e-09
0.6863891.7134055.464830e-09
0.6873521.7133545.472500e-09
0.6883171.7133035.480182e-09
0.6892831.7132525.487873e-09
0.6902511.7132025.495576e-09
0.6912191.7131515.503290e-09
0.692191.7131015.511014e-09
0.6931611.7130515.518749e-09
0.6941341.7130015.526495e-09
0.6951081.7129515.534252e-09
0.6960841.7129015.542020e-09
0.6970611.7128525.549798e-09
0.6980391.7128025.557588e-09
0.6990191.7127535.565389e-09
0.71.7127045.573200e-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
—