Optical constants

Refractive index of J-LAF04 (HIKARI)

J-LAF04: n,k 0.3889–2.058 µm

Data
formula 3 + tabulated k
Range
0.3889–2.058 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3889–2.058 µm
Refractive index n
1.757
Extinction coefficient k
2.70488e-08
Permittivity ε1
3.08704
Permittivity ε2
9.50495e-08
Absorption coefficient α
0.00578465 cm⁻¹
Penetration depth δ = λ/(2πk)
3.45743e+09 nm
Abbe number Vd
47.863
Chromatic dispersion dn/dλ
-0.0812366 µm⁻¹
Group index ng
1.80473
Group velocity dispersion
146.968 fs²/mm
Dispersion parameter D
-801.788 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

# J-LAF04 (HIKARI): J-LAF04
hikari_j_laf04 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LAF04", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_laf04.range_nm)  # (388.865, 2058.09) nm
eps = hikari_j_laf04.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=3.01765567−0.0144029325⁢λ2.0−0.000173403131⁢λ4.0+0.0241938931⁢λ−2.0+0.00050291378⁢λ−4.0−1.18295424×10-7⁢λ−6.0+1.26171561×10-6⁢λ−8.0

Valid from 0.388865 to 2.05809 µm.

Coefficients as stored
CiValue
C13.01765567
C2-0.0144029325
C32.0
C4-0.000173403131
C54.0
C60.0241938931
C7-2.0
C80.00050291378
C9-4.0
C10-1.18295424e-07
C11-6.0
C121.26171561e-06
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 3.8666e-06 1.2787e-08 -2.003e-12 5.4458e-07 8.1066e-10 0.23096
nd
1.757000
Vd
47.862723
density
value: 4070
thermal expansion
value: 5.4e-06, temperature range: 243 343
dPgF
-0.0084
resistance
phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 3.22e-06 K⁻¹ at 633 nm, dn/dT = 2.43e-06 K⁻¹ at 1310 nm, dn/dT = 2.36e-06 K⁻¹ at 1550 nm

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 419 wavelengths, the same grid as the API and the library
J-LAF04 (HIKARI), J-LAF04: n and k versus wavelength
λ (µm)nk
0.3888651.788812.337497e-07
0.391.788462.185600e-07
0.3904921.7883092.153438e-07
0.3921271.7878142.046694e-07
0.3937681.7873231.939502e-07
0.3954151.7868381.831862e-07
0.397071.7863581.723771e-07
0.3987321.7858831.615229e-07
0.41.7855251.532400e-07
0.4004011.7854131.520029e-07
0.4020761.7849481.468286e-07
0.4037591.7844871.416326e-07
0.4054491.7840321.364149e-07
0.4071451.7835811.311754e-07
0.4088491.7831351.259139e-07
0.410561.7826931.206304e-07
0.4122781.7822561.153248e-07
0.4140041.7818231.099970e-07
0.4157361.7813951.046469e-07
0.4174761.7809719.927437e-08
0.4192231.7805529.387939e-08
0.421.7803679.148100e-08
0.4209781.7801369.046695e-08
0.4227391.7797258.863974e-08
0.4245091.7793188.680488e-08
0.4262851.7789158.496235e-08
0.4280691.7785168.311210e-08
0.4298611.7781218.125411e-08
0.431661.777737.938835e-08
0.4334661.7773437.751477e-08
0.435281.7769597.563336e-08
0.4371021.776587.374407e-08
0.4389311.7762047.184688e-08
0.441.7759877.073800e-08
0.4407681.7758327.014631e-08
0.4426121.7754636.872469e-08
0.4444651.7750986.729712e-08
0.4463251.7747376.586358e-08
0.4481931.7743796.442404e-08
0.4500681.7740256.297847e-08
0.4519521.7736736.152686e-08
0.4538431.7733266.006917e-08
0.4557421.7729825.860538e-08
0.457651.772645.713546e-08
0.4595651.7723035.565939e-08
0.461.7722275.532400e-08
0.4614881.7719685.435125e-08
0.4634191.7716375.308876e-08
0.4653591.7713095.182099e-08
0.4673061.7709835.054792e-08
0.4692621.7706614.926952e-08
0.4712261.7703424.798576e-08
0.4731981.7700264.669664e-08
0.4751781.7697134.540212e-08
0.4771671.7694034.410218e-08
0.4791641.7690964.279680e-08
0.481.7689684.225000e-08
0.4811691.7687914.164860e-08
0.4831821.768494.061247e-08
0.4852051.7681913.957201e-08
0.4872351.7678953.852719e-08
0.4892741.7676013.747800e-08
0.4913221.7673113.642442e-08
0.4933781.7670233.536643e-08
0.4954431.7667373.430401e-08
0.4975161.7664543.323715e-08
0.4995981.7661743.216582e-08
0.51.7661213.195900e-08
0.5016891.7658973.162056e-08
0.5037881.7656213.119981e-08
0.5058971.7653493.077731e-08
0.5080141.7650783.035303e-08
0.510141.7648112.992698e-08
0.5122751.7645452.949915e-08
0.5144191.7642822.906952e-08
0.5165711.7640212.863810e-08
0.5187331.7637632.820487e-08
0.5209041.7635072.776983e-08
0.5230841.7632532.733297e-08
0.5252731.7630012.689428e-08
0.5274711.7627522.645376e-08
0.5296791.7625052.601139e-08
0.5318951.762262.556717e-08
0.5341211.7620172.512109e-08
0.5363571.7617762.467314e-08
0.5386011.7615372.422332e-08
0.5408551.7613012.377162e-08
0.5431191.7610662.331803e-08
0.5453921.7608332.286254e-08
0.5476741.7606032.240514e-08
0.5499661.7603742.194583e-08
0.551.7603712.193900e-08
0.5522681.7601472.224715e-08
0.5545791.7599232.256125e-08
0.55691.75972.287665e-08
0.559231.7594792.319338e-08
0.561571.759262.351143e-08
0.5639211.7590422.383081e-08
0.5662811.7588272.415153e-08
0.568651.7586132.447359e-08
0.571031.7584022.479700e-08
0.573421.7581922.512177e-08
0.575821.7579832.544789e-08
0.5782291.7577772.577538e-08
0.5806491.7575722.610423e-08
0.5830791.7573682.643447e-08
0.5855191.7571672.676608e-08
0.587971.7569672.709908e-08
0.590431.7567692.743348e-08
0.5929011.7565722.776928e-08
0.5953821.7563772.810648e-08
0.5978741.7561832.844509e-08
0.61.756022.873400e-08
0.6003761.7559912.879119e-08
0.6028891.7558012.917314e-08
0.6054121.7556122.955669e-08
0.6079451.7554252.994185e-08
0.610491.7552393.032862e-08
0.6130441.7550543.071701e-08
0.615611.7548713.110703e-08
0.6181861.754693.149867e-08
0.6207731.754513.189196e-08
0.6233711.7543313.228689e-08
0.625981.7541543.268347e-08
0.62861.7539783.308172e-08
0.631231.7538033.348163e-08
0.6338721.753633.388321e-08
0.6365251.7534583.428648e-08
0.6391881.7532873.469143e-08
0.6418631.7531183.509808e-08
0.644551.752953.550642e-08
0.6472471.7527833.591648e-08
0.6499561.7526173.632826e-08
0.651.7526153.633500e-08
0.6526761.7524533.678494e-08
0.6554071.752293.724425e-08
0.658151.7521283.770548e-08
0.6609041.7519683.816865e-08
0.663671.7518083.863375e-08
0.6664471.751653.910080e-08
0.6692361.7514933.956980e-08
0.6720371.7513374.004077e-08
0.674851.7511824.051371e-08
0.6776741.7510284.098863e-08
0.680511.7508754.146553e-08
0.6833581.7507244.194443e-08
0.6862171.7505734.242533e-08
0.6890891.7504244.290825e-08
0.6919731.7502754.339319e-08
0.6948691.7501284.388016e-08
0.6977771.7499814.436916e-08
0.71.7498714.474300e-08
0.7006971.7498364.492195e-08
0.7036291.7496924.567477e-08
0.7065741.7495484.643075e-08
0.7095311.7494064.718989e-08
0.71251.7492654.795221e-08
0.7154821.7491244.871772e-08
0.7184761.7489854.948643e-08
0.7214831.7488465.025836e-08
0.7245021.7487085.103351e-08
0.7275341.7485725.181192e-08
0.7305791.7484365.259358e-08
0.7336371.7483015.337851e-08
0.7367071.7481675.416673e-08
0.739791.7480335.495824e-08
0.7428861.7479015.575307e-08
0.7459951.7477695.655122e-08
0.7491171.7476395.735271e-08
0.7522521.7475095.815756e-08
0.75541.7473795.896578e-08
0.7585611.7472515.977738e-08
0.7617361.7471246.059237e-08
0.7649231.7469976.141078e-08
0.7681251.7468716.223261e-08
0.7713391.7467456.305788e-08
0.7745671.7466216.388660e-08
0.7778091.7464976.471880e-08
0.7810641.7463746.555447e-08
0.7843321.7462526.639364e-08
0.7876151.746136.723633e-08
0.7909111.7460096.808254e-08
0.7942211.7458896.893229e-08
0.7975441.7457696.978559e-08
0.81.7456827.041600e-08
0.8008821.745657.011152e-08
0.8042341.7455326.895467e-08
0.8075991.7454146.779298e-08
0.8109791.7452976.662643e-08
0.8143731.7451816.545499e-08
0.8177811.7450656.427865e-08
0.8212041.744956.309739e-08
0.824641.7448366.191119e-08
0.8280911.7447226.072002e-08
0.8315571.7446085.952387e-08
0.8350371.7444965.832271e-08
0.8385311.7443835.711653e-08
0.8420411.7442725.590530e-08
0.8455641.7441615.468899e-08
0.8491031.744055.346760e-08
0.8526561.743945.224110e-08
0.8562251.743835.100946e-08
0.8598081.7437214.977267e-08
0.8634061.7436134.853071e-08
0.867021.7435054.728354e-08
0.8706481.7433974.603116e-08
0.8742921.743294.477354e-08
0.877951.7431844.351065e-08
0.8816251.7430774.224248e-08
0.8853141.7429724.096900e-08
0.8890191.7428663.969019e-08
0.892741.7427623.840603e-08
0.8964761.7426573.711649e-08
0.91.742563.590000e-08
0.9002271.7425533.592725e-08
0.9039951.742453.637896e-08
0.9077781.7423473.683256e-08
0.9115771.7422443.728805e-08
0.9153921.7421413.774546e-08
0.9192231.7420393.820478e-08
0.9230691.7419383.866602e-08
0.9269321.7418373.912919e-08
0.9308121.7417363.959430e-08
0.9347071.7416354.006135e-08
0.9386191.7415354.053037e-08
0.9425471.7414354.100134e-08
0.9464911.7413354.147428e-08
0.9504521.7412364.194921e-08
0.954431.7411374.242612e-08
0.9584241.7410394.290502e-08
0.9624351.740944.338593e-08
0.9664631.7408424.386886e-08
0.9705071.7407444.435380e-08
0.9745691.7406474.484078e-08
0.9786471.740554.532979e-08
0.9827431.7404534.582085e-08
0.9868551.7403564.631396e-08
0.9909851.7402594.680914e-08
0.9951321.7401634.730639e-08
0.9992971.7400674.780572e-08
11.7400514.789000e-08
1.003481.7399714.772273e-08
1.007681.7398764.752082e-08
1.01191.739784.731806e-08
1.016131.7396854.711446e-08
1.020381.739594.691000e-08
1.024651.7394954.670469e-08
1.028941.7394014.649851e-08
1.033251.7393064.629148e-08
1.037571.7392124.608358e-08
1.041911.7391184.587481e-08
1.046271.7390244.566516e-08
1.050651.738934.545464e-08
1.055051.7388364.524324e-08
1.059461.7387424.503095e-08
1.06391.7386494.481777e-08
1.068351.7385554.460371e-08
1.072821.7384624.438874e-08
1.077311.7383694.417288e-08
1.081821.7382764.395611e-08
1.086351.7381834.373844e-08
1.090891.738094.351985e-08
1.095461.7379974.330035e-08
1.100041.7379044.307993e-08
1.104651.7378114.285859e-08
1.109271.7377184.263632e-08
1.113911.7376264.241313e-08
1.118571.7375334.218900e-08
1.123251.737444.196393e-08
1.127961.7373484.173791e-08
1.132681.7372554.151096e-08
1.137421.7371634.128305e-08
1.142181.737074.105419e-08
1.146961.7369774.082437e-08
1.151761.7368854.059359e-08
1.156581.7367924.036184e-08
1.161421.73674.012913e-08
1.166281.7366073.989544e-08
1.171161.7365143.966077e-08
1.176061.7364213.942512e-08
1.180981.7363283.918848e-08
1.185921.7362353.895086e-08
1.190891.7361423.871224e-08
1.195871.7360493.847262e-08
1.21.7359723.827400e-08
1.200871.7359563.844867e-08
1.20591.7358633.945343e-08
1.210951.7357694.046240e-08
1.216011.7356764.147559e-08
1.22111.7355824.249302e-08
1.226211.7354894.351470e-08
1.231341.7353954.454067e-08
1.23651.7353014.557092e-08
1.241671.7352074.660549e-08
1.246871.7351124.764439e-08
1.252091.7350184.868763e-08
1.257331.7349234.973525e-08
1.262591.7348285.078724e-08
1.267871.7347335.184364e-08
1.273181.7346385.290446e-08
1.278511.7345435.396972e-08
1.283861.7344475.503943e-08
1.289231.7343525.611362e-08
1.294621.7342565.719231e-08
1.300041.7341595.827552e-08
1.305481.7340635.936325e-08
1.310951.7339666.045554e-08
1.316431.7338696.155240e-08
1.321941.7337726.265385e-08
1.327471.7336756.375991e-08
1.333031.7335776.487059e-08
1.338611.7334796.598593e-08
1.344211.7333816.710593e-08
1.349841.7332826.823062e-08
1.355481.7331836.936002e-08
1.361161.7330847.049414e-08
1.366851.7329857.163301e-08
1.372571.7328857.277665e-08
1.378321.7327857.392507e-08
1.384091.7326847.507830e-08
1.389881.7325837.623635e-08
1.395691.7324827.739925e-08
1.41.7324077.826000e-08
1.401541.732387.874042e-08
1.40741.7322798.057539e-08
1.413291.7321768.241804e-08
1.419211.7320748.426839e-08
1.425141.731978.612649e-08
1.431111.7318678.799237e-08
1.43711.7317638.986606e-08
1.443111.7316599.174758e-08
1.449151.7315549.363698e-08
1.455221.7314499.553429e-08
1.461311.7313439.743954e-08
1.467421.7312379.935276e-08
1.473561.731131.012740e-07
1.479731.7310231.032033e-07
1.485921.7309161.051406e-07
1.492141.7308081.070860e-07
1.498381.7306991.090396e-07
1.504661.730591.110014e-07
1.510951.7304811.129714e-07
1.517281.7303711.149496e-07
1.523631.730261.169361e-07
1.531.7301491.189309e-07
1.53641.7300381.209341e-07
1.542831.7299251.229456e-07
1.549291.7298131.249656e-07
1.555771.7296991.269940e-07
1.562291.7295851.290309e-07
1.568821.7294711.310763e-07
1.575391.7293561.331303e-07
1.581981.729241.351929e-07
1.58861.7291241.372641e-07
1.595251.7290071.393440e-07
1.61.7289231.408300e-07
1.601931.7288891.425424e-07
1.608631.7287711.485026e-07
1.615361.7286521.544876e-07
1.622121.7285321.604978e-07
1.628911.7284121.665331e-07
1.635731.7282911.725936e-07
1.642571.728171.786795e-07
1.649451.7280471.847909e-07
1.656351.7279241.909278e-07
1.663281.72781.970904e-07
1.670241.7276762.032789e-07
1.677231.727552.094932e-07
1.684251.7274242.157335e-07
1.69131.7272982.219999e-07
1.698381.727172.282926e-07
1.705491.7270422.346116e-07
1.712621.7269122.409570e-07
1.719791.7267822.473290e-07
1.726991.7266512.537277e-07
1.734211.726522.601532e-07
1.741471.7263872.666055e-07
1.748761.7262542.730848e-07
1.756081.726122.795913e-07
1.763431.7259852.861250e-07
1.770811.7258492.926860e-07
1.778221.7257122.992745e-07
1.785661.7255743.058905e-07
1.793131.7254353.125343e-07
1.81.7253073.186400e-07
1.800641.7252953.198520e-07
1.808171.7251553.342026e-07
1.815741.7250133.486134e-07
1.823341.7248713.630844e-07
1.830971.7247273.776160e-07
1.838631.7245823.922084e-07
1.846331.7244374.068618e-07
1.854051.724294.215766e-07
1.861811.7241434.363530e-07
1.86961.7239944.511912e-07
1.877431.7238444.660915e-07
1.885281.7236944.810542e-07
1.893171.7235424.960795e-07
1.90111.7233895.111677e-07
1.909051.7232355.263190e-07
1.917041.7230795.415337e-07
1.925061.7229235.568121e-07
1.933121.7227665.721544e-07
1.941211.7226075.875609e-07
1.949331.7224476.030319e-07
1.957491.7222866.185677e-07
1.965681.7221246.341685e-07
1.973911.721966.498345e-07
1.982171.7217966.655661e-07
1.990471.721636.813636e-07
1.99881.7214626.972271e-07
21.7214386.995200e-07
2.007161.7212947.546040e-07
2.015561.7211248.192188e-07
2.0241.7209538.841040e-07
2.032471.7207819.492607e-07
2.040971.7206071.014690e-06
2.049511.7204321.080393e-06
2.058091.7202551.146372e-06

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
—