Optical constants

Refractive index of E-LASFH13 (HIKARI)

E-LASFH13: 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
1.90365
Extinction coefficient k
8.93650e-08
Permittivity ε1
3.6239
Permittivity ε2
3.40240e-07
Absorption coefficient α
0.0191115 cm⁻¹
Penetration depth δ = λ/(2πk)
1.04649e+09 nm
Abbe number Vd
31.273
Chromatic dispersion dn/dλ
-0.145803 µm⁻¹
Group index ng
1.98933
Group velocity dispersion
291.044 fs²/mm
Dispersion parameter D
-1587.8 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-LASFH13 (HIKARI): E-LASFH13
hikari_e_lasfh13 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LASFH13", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lasfh13.range_nm)  # (400, 700) nm
eps = hikari_e_lasfh13.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=3.48771563−0.0146590634⁢λ2.0+0.0428753558⁢λ−2.0+0.00219556229⁢λ−4.0−0.000101404002⁢λ−6.0+1.5729252×10-5⁢λ−8.0+6.84367211×10-5⁢λ4.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.48771563
C2-0.0146590634
C32.0
C40.0428753558
C5-2.0
C60.00219556229
C7-4.0
C8-0.000101404002
C9-6.0
C101.5729252e-05
C11-8.0
C126.84367211e-05
C134.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.903660
Vd
31.273204
glass status
preferred
density
value: 4660
thermal expansion
value: 7.9e-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-LASFH13 (HIKARI), E-LASFH13: n and k versus wavelength
λ (µm)nk
0.41.9591716.316900e-07
0.4005611.958846.238429e-07
0.4011241.958516.159847e-07
0.4016871.9581826.081155e-07
0.402251.9578556.002353e-07
0.4028151.957535.923440e-07
0.403381.9572065.844417e-07
0.4039461.9568845.765282e-07
0.4045131.9565635.686037e-07
0.4050811.9562435.606680e-07
0.405651.9559255.527212e-07
0.4062191.9556095.447632e-07
0.4067891.9552935.367941e-07
0.407361.9549795.288137e-07
0.4079321.9546675.208222e-07
0.4085041.9543555.128195e-07
0.4090781.9540465.048055e-07
0.4096521.9537374.967803e-07
0.4102271.953434.887438e-07
0.4108031.9531244.806960e-07
0.4113791.9528194.726370e-07
0.4119571.9525164.645666e-07
0.4125351.9522144.564849e-07
0.4131141.9519144.483919e-07
0.4136941.9516144.402875e-07
0.4142741.9513164.321717e-07
0.4148561.951024.240445e-07
0.4154381.9507244.159059e-07
0.4160211.950434.077559e-07
0.4166051.9501373.995945e-07
0.417191.9498453.914216e-07
0.4177751.9495553.832373e-07
0.4183621.9492653.750414e-07
0.4189491.9489773.668341e-07
0.4195371.9486913.586152e-07
0.421.9484663.521400e-07
0.4201261.9484053.515481e-07
0.4207151.9481213.487688e-07
0.4213061.9478373.459855e-07
0.4218971.9475553.431983e-07
0.4224891.9472743.404073e-07
0.4230821.9469953.376123e-07
0.4236761.9467163.348133e-07
0.4242711.9464393.320105e-07
0.4248661.9461633.292037e-07
0.4254621.9458883.263930e-07
0.426061.9456143.235783e-07
0.4266581.9453413.207597e-07
0.4272561.9450693.179372e-07
0.4278561.9447993.151106e-07
0.4284571.9445293.122801e-07
0.4290581.9442613.094457e-07
0.429661.9439943.066072e-07
0.4302631.9437283.037648e-07
0.4308671.9434633.009184e-07
0.4314721.9431992.980679e-07
0.4320771.9429362.952135e-07
0.4326841.9426742.923551e-07
0.4332911.9424132.894927e-07
0.4338991.9421532.866262e-07
0.4345081.9418952.837557e-07
0.4351181.9416372.808812e-07
0.4357291.9413812.780027e-07
0.436341.9411252.751201e-07
0.4369531.9408712.722335e-07
0.4375661.9406172.693428e-07
0.438181.9403652.664481e-07
0.4387951.9401132.635493e-07
0.4394111.9398632.606464e-07
0.441.9396252.578700e-07
0.4400281.9396142.577943e-07
0.4406451.9393652.561064e-07
0.4412641.9391182.544162e-07
0.4418831.9388712.527236e-07
0.4425031.9386262.510286e-07
0.4431241.9383812.493312e-07
0.4437461.9381382.476314e-07
0.4443691.9378952.459293e-07
0.4449931.9376532.442248e-07
0.4456171.9374132.425178e-07
0.4462431.9371732.408085e-07
0.4468691.9369342.390968e-07
0.4474961.9366962.373827e-07
0.4481241.936462.356662e-07
0.4487531.9362242.339472e-07
0.4493831.9359882.322259e-07
0.4500141.9357542.305021e-07
0.4506451.9355212.287759e-07
0.4512781.9352892.270473e-07
0.4519111.9350572.253163e-07
0.4525461.9348272.235828e-07
0.4531811.9345972.218469e-07
0.4538171.9343682.201086e-07
0.4544541.9341412.183678e-07
0.4550921.9339142.166246e-07
0.455731.9336872.148789e-07
0.456371.9334622.131308e-07
0.4570111.9332382.113803e-07
0.4576521.9330142.096272e-07
0.4582941.9327922.078718e-07
0.4589381.932572.061138e-07
0.4595821.9323492.043534e-07
0.461.9322062.032100e-07
0.4602271.9321292.028096e-07
0.4608731.931912.016685e-07
0.4615191.9316912.005259e-07
0.4621671.9314731.993816e-07
0.4628161.9312571.982357e-07
0.4634651.9310411.970883e-07
0.4641161.9308261.959392e-07
0.4647671.9306111.947885e-07
0.465421.9303981.936362e-07
0.4660731.9301851.924822e-07
0.4667271.9299731.913267e-07
0.4673821.9297621.901695e-07
0.4680381.9295521.890107e-07
0.4686951.9293421.878503e-07
0.4693531.9291331.866882e-07
0.4700121.9289251.855246e-07
0.4706711.9287181.843592e-07
0.4713321.9285121.831923e-07
0.4719931.9283061.820237e-07
0.4726561.9281011.808535e-07
0.4733191.9278971.796816e-07
0.4739841.9276941.785081e-07
0.4746491.9274911.773329e-07
0.4753151.9272891.761561e-07
0.4759821.9270881.749776e-07
0.476651.9268881.737975e-07
0.4773191.9266881.726157e-07
0.4779891.9264891.714323e-07
0.478661.9262911.702472e-07
0.4793321.9260941.690605e-07
0.481.9258981.678800e-07
0.4800051.9258971.678732e-07
0.4806781.9257011.668542e-07
0.4813531.9255061.658338e-07
0.4820281.9253111.648120e-07
0.4827051.9251171.637887e-07
0.4833821.9249241.627640e-07
0.4840611.9247321.617378e-07
0.484741.924541.607103e-07
0.4854211.9243491.596812e-07
0.4861021.9241581.586508e-07
0.4867841.9239691.576189e-07
0.4874671.923781.565855e-07
0.4881521.9235911.555507e-07
0.4888371.9234041.545144e-07
0.4895231.9232171.534767e-07
0.490211.9230311.524375e-07
0.4908981.9228451.513969e-07
0.4915871.922661.503548e-07
0.4922771.9224761.493112e-07
0.4929681.9222921.482662e-07
0.493661.9221091.472197e-07
0.4943531.9219271.461717e-07
0.4950461.9217451.451223e-07
0.4957411.9215641.440714e-07
0.4964371.9213841.430190e-07
0.4971341.9212041.419652e-07
0.4978321.9210251.409098e-07
0.498531.9208471.398530e-07
0.499231.9206691.387947e-07
0.4999311.9204921.377349e-07
0.51.9204751.376300e-07
0.5006321.9203151.371208e-07
0.5013351.920141.365549e-07
0.5020391.9199641.359883e-07
0.5027431.919791.354208e-07
0.5034491.9196161.348526e-07
0.5041551.9194421.342836e-07
0.5048631.9192691.337137e-07
0.5055721.9190971.331431e-07
0.5062811.9189261.325716e-07
0.5069921.9187551.319994e-07
0.5077031.9185841.314263e-07
0.5084161.9184141.308525e-07
0.509131.9182451.302778e-07
0.5098441.9180771.297024e-07
0.510561.9179091.291261e-07
0.5112761.9177411.285490e-07
0.5119941.9175741.279711e-07
0.5127121.9174081.273924e-07
0.5134321.9172421.268129e-07
0.5141531.9170771.262326e-07
0.5148741.9169131.256514e-07
0.5155971.9167491.250695e-07
0.5163211.9165851.244867e-07
0.5170451.9164221.239031e-07
0.5177711.916261.233187e-07
0.5184981.9160981.227335e-07
0.5192251.9159371.221474e-07
0.5199541.9157771.215605e-07
0.5206841.9156161.209728e-07
0.5214151.9154571.203843e-07
0.5221471.9152981.197950e-07
0.5228791.915141.192048e-07
0.5236131.9149821.186138e-07
0.5243481.9148241.180219e-07
0.5250841.9146681.174293e-07
0.5258211.9145111.168358e-07
0.5265591.9143561.162414e-07
0.5272981.91421.156463e-07
0.5280381.9140461.150503e-07
0.5287791.9138921.144534e-07
0.5295211.9137381.138558e-07
0.5302651.9135851.132573e-07
0.5310091.9134321.126579e-07
0.5317541.913281.120577e-07
0.5325011.9131291.114567e-07
0.5332481.9129781.108548e-07
0.5339961.9128271.102521e-07
0.5347461.9126771.096485e-07
0.5354961.9125281.090441e-07
0.5362481.9123791.084388e-07
0.5370011.912231.078327e-07
0.5377541.9120821.072257e-07
0.5385091.9119351.066179e-07
0.5392651.9117881.060092e-07
0.5400221.9116411.053997e-07
0.540781.9114951.047893e-07
0.5415391.911351.041781e-07
0.5422991.9112051.035660e-07
0.543061.911061.029530e-07
0.5438221.9109161.023392e-07
0.5445851.9107721.017245e-07
0.545351.9106291.011090e-07
0.5461151.9104871.004926e-07
0.5468821.9103459.987534e-08
0.5476491.9102039.925720e-08
0.5484181.9100629.863820e-08
0.5491871.9099219.801833e-08
0.5499581.9097819.739758e-08
0.551.9097739.736400e-08
0.550731.9096419.720866e-08
0.5515031.9095019.704422e-08
0.5522771.9093629.687955e-08
0.5530521.9092249.671465e-08
0.5538291.9090869.654951e-08
0.5546061.9089499.638415e-08
0.5553841.9088119.621855e-08
0.5561641.9086759.605272e-08
0.5569441.9085399.588665e-08
0.5577261.9084039.572036e-08
0.5585091.9082689.555383e-08
0.5592931.9081339.538706e-08
0.5600781.9079989.522007e-08
0.5608641.9078649.505284e-08
0.5616511.9077319.488537e-08
0.5624391.9075989.471767e-08
0.5632291.9074659.454973e-08
0.5640191.9073339.438156e-08
0.5648111.9072019.421315e-08
0.5656041.907079.404450e-08
0.5663971.9069399.387562e-08
0.5671921.9068089.370650e-08
0.5679881.9066789.353715e-08
0.5687861.9065499.336755e-08
0.5695841.9064199.319772e-08
0.5703831.9062919.302765e-08
0.5711841.9061629.285734e-08
0.5719861.9060349.268679e-08
0.5727881.9059079.251601e-08
0.5735921.9057799.234498e-08
0.5743971.9056539.217371e-08
0.5752041.9055269.200220e-08
0.5760111.90549.183046e-08
0.5768191.9052759.165847e-08
0.5776291.905159.148624e-08
0.578441.9050259.131376e-08
0.5792511.9049019.114105e-08
0.5800641.9047779.096809e-08
0.5808791.9046539.079489e-08
0.5816941.904539.062145e-08
0.582511.9044079.044776e-08
0.5833281.9042859.027383e-08
0.5841471.9041639.009966e-08
0.5849661.9040418.992524e-08
0.5857871.903928.975058e-08
0.586611.9037998.957567e-08
0.5874331.9036798.940051e-08
0.5882571.9035598.922512e-08
0.5890831.9034398.904947e-08
0.589911.903328.887358e-08
0.5907381.9032018.869744e-08
0.5915671.9030828.852105e-08
0.5923971.9029648.834442e-08
0.5932291.9028468.816753e-08
0.5940611.9027298.799040e-08
0.5948951.9026128.781303e-08
0.595731.9024958.763540e-08
0.5965661.9023798.745752e-08
0.5974031.9022638.727939e-08
0.5982421.9021478.710102e-08
0.5990821.9020328.692239e-08
0.5999221.9019178.674351e-08
0.61.9019078.672700e-08
0.6007641.9018038.675699e-08
0.6016081.9016898.679008e-08
0.6024521.9015758.682321e-08
0.6032981.9014628.685639e-08
0.6041441.9013488.688962e-08
0.6049921.9012368.692289e-08
0.6058411.9011238.695621e-08
0.6066921.9010118.698958e-08
0.6075431.90098.702299e-08
0.6083961.9007888.705645e-08
0.609251.9006778.708996e-08
0.6101051.9005678.712351e-08
0.6109611.9004568.715712e-08
0.6118191.9003468.719076e-08
0.6126771.9002378.722446e-08
0.6135371.9001288.725820e-08
0.6143981.9000198.729199e-08
0.6152611.899918.732583e-08
0.6161241.8998028.735972e-08
0.6169891.8996948.739365e-08
0.6178551.8995868.742763e-08
0.6187221.8994798.746166e-08
0.6195911.8993728.749573e-08
0.620461.8992658.752986e-08
0.6213311.8991598.756403e-08
0.6222031.8990538.759825e-08
0.6230761.8989478.763252e-08
0.6239511.8988428.766683e-08
0.6248271.8987378.770119e-08
0.6257041.8986328.773561e-08
0.6265821.8985288.777007e-08
0.6274611.8984248.780458e-08
0.6283421.898328.783913e-08
0.6292241.8982178.787374e-08
0.6301071.8981148.790839e-08
0.6309911.8980118.794310e-08
0.6318771.8979098.797785e-08
0.6327641.8978068.801265e-08
0.6336521.8977058.804750e-08
0.6345411.8976038.808239e-08
0.6354321.8975028.811734e-08
0.6363241.8974018.815234e-08
0.6372171.89738.818738e-08
0.6381111.89728.822248e-08
0.6390071.89718.825762e-08
0.6399041.8978.829281e-08
0.6408021.8969018.832806e-08
0.6417011.8968028.836335e-08
0.6426021.8967038.839869e-08
0.6435041.8966048.843408e-08
0.6444071.8965068.846952e-08
0.6453111.8964088.850501e-08
0.6462171.896318.854055e-08
0.6471241.8962138.857614e-08
0.6480321.8961168.861178e-08
0.6489421.8960198.864747e-08
0.6498521.8959238.868321e-08
0.651.8959078.868900e-08
0.6507651.8958268.888001e-08
0.6516781.895738.910819e-08
0.6525931.8956358.933668e-08
0.6535091.8955398.956550e-08
0.6544261.8954448.979464e-08
0.6553441.895359.002410e-08
0.6562641.8952559.025389e-08
0.6571851.8951619.048399e-08
0.6581081.8950679.071442e-08
0.6590311.8949739.094517e-08
0.6599561.894889.117625e-08
0.6608821.8947879.140765e-08
0.661811.8946949.163937e-08
0.6627391.8946019.187142e-08
0.6636691.8945099.210380e-08
0.6646011.8944179.233650e-08
0.6655331.8943259.256953e-08
0.6664671.8942339.280289e-08
0.6674031.8941429.303657e-08
0.668341.8940519.327058e-08
0.6692781.8939619.350492e-08
0.6702171.893879.373959e-08
0.6711581.893789.397459e-08
0.67211.893699.420992e-08
0.6730431.89369.444557e-08
0.6739881.8935119.468156e-08
0.6749331.8934229.491788e-08
0.6758811.8933339.515453e-08
0.6768291.8932449.539152e-08
0.6777791.8931569.562884e-08
0.6787311.8930689.586648e-08
0.6796831.892989.610447e-08
0.6806371.8928929.634279e-08
0.6815921.8928059.658144e-08
0.6825491.8927189.682042e-08
0.6835071.8926319.705975e-08
0.6844661.8925449.729940e-08
0.6854271.8924589.753940e-08
0.6863891.8923729.777973e-08
0.6873521.8922869.802040e-08
0.6883171.89229.826140e-08
0.6892831.8921159.850275e-08
0.6902511.892039.874443e-08
0.6912191.8919459.898645e-08
0.692191.891869.922882e-08
0.6931611.8917769.947152e-08
0.6941341.8916929.971456e-08
0.6951081.8916089.995795e-08
0.6960841.8915241.002017e-07
0.6970611.891441.004457e-07
0.6980391.8913571.006901e-07
0.6990191.8912741.009349e-07
0.71.8911911.011800e-07

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
—