Optical constants

Refractive index of J-LASFH13 (HIKARI)

J-LASFH13: 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
1.90365
Extinction coefficient k
8.09500e-08
Permittivity ε1
3.6239
Permittivity ε2
3.08202e-07
Absorption coefficient α
0.0173119 cm⁻¹
Penetration depth δ = λ/(2πk)
1.15527e+09 nm
Abbe number Vd
31.274
Chromatic dispersion dn/dλ
-0.145779 µm⁻¹
Group index ng
1.98931
Group velocity dispersion
290.93 fs²/mm
Dispersion parameter D
-1587.18 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-LASFH13 (HIKARI): J-LASFH13
hikari_j_lasfh13 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LASFH13", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_lasfh13.range_nm)  # (388.865, 2058.09) nm
eps = hikari_j_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=3.48496859−0.0134692969⁢λ2.0−8.98801936×10-5⁢λ4.0+0.0453620373⁢λ−2.0+0.00110287376⁢λ−4.0+0.000148043312⁢λ−6.0−1.27401645×10-5⁢λ−8.0+1.28412516×10-6⁢λ−10.0

Valid from 0.388865 to 2.05809 µm.

Coefficients as stored
CiValue
C13.48496859
C2-0.0134692969
C32.0
C4-8.98801936e-05
C54.0
C60.0453620373
C7-2.0
C80.00110287376
C9-4.0
C100.000148043312
C11-6.0
C12-1.27401645e-05
C13-8.0
C141.28412516e-06
C15-10.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 3.5288e-07 1.3373e-08 -2.3595e-12 1.0735e-06 1.6209e-09 0.24723
nd
1.903660
Vd
31.274235
density
value: 4660
thermal expansion
value: 6.7e-06, temperature range: 243 343
dPgF
0.0029
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 2.41e-06 K⁻¹ at 633 nm, dn/dT = 6.67e-07 K⁻¹ at 1310 nm, dn/dT = 5.38e-07 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-LASFH13 (HIKARI), J-LASFH13: n and k versus wavelength
λ (µm)nk
0.3888651.9661729.980738e-07
0.391.9654199.344900e-07
0.3904921.9650959.195810e-07
0.3921271.9640338.700980e-07
0.3937681.9629858.204079e-07
0.3954151.9619527.705098e-07
0.397071.9609337.204029e-07
0.3987321.9599276.700863e-07
0.41.9591726.316900e-07
0.4004011.9589356.260903e-07
0.4020761.9579576.026690e-07
0.4037591.9569915.791496e-07
0.4054491.9560385.555318e-07
0.4071451.9550975.318151e-07
0.4088491.9541695.079993e-07
0.410561.9532524.840837e-07
0.4122781.9523484.600681e-07
0.4140041.9514554.359519e-07
0.4157361.9505734.117348e-07
0.4174761.9497033.874164e-07
0.4192231.9488433.629962e-07
0.421.9484663.521400e-07
0.4209781.9479943.475315e-07
0.4227391.9471563.392274e-07
0.4245091.9463283.308886e-07
0.4262851.9455113.225149e-07
0.4280691.9447033.141062e-07
0.4298611.9439053.056622e-07
0.431661.9431172.971829e-07
0.4334661.9423392.886682e-07
0.435281.9415692.801178e-07
0.4371021.9408092.715316e-07
0.4389311.9400582.629095e-07
0.441.9396252.578700e-07
0.4407681.9393162.557718e-07
0.4426121.9385832.507305e-07
0.4444651.9378582.456682e-07
0.4463251.9371422.405847e-07
0.4481931.9364342.354799e-07
0.4500681.9357352.303537e-07
0.4519521.9350432.252061e-07
0.4538431.9343592.200370e-07
0.4557421.9336832.148462e-07
0.457651.9330152.096337e-07
0.4595651.9323552.043993e-07
0.461.9322062.032100e-07
0.4614881.9317021.999883e-07
0.4634191.9310561.958071e-07
0.4653591.9304181.916083e-07
0.4673061.9297861.873920e-07
0.4692621.9291621.831581e-07
0.4712261.9285451.789064e-07
0.4731981.9279341.746369e-07
0.4751781.927331.703495e-07
0.4771671.9267331.660443e-07
0.4791641.9261421.617210e-07
0.481.9258981.599100e-07
0.4811691.9255581.583678e-07
0.4831821.924981.557108e-07
0.4852051.9244091.530426e-07
0.4872351.9238431.503633e-07
0.4892741.9232841.476728e-07
0.4913221.922731.449710e-07
0.4933781.9221831.422579e-07
0.4954431.9216411.395335e-07
0.4975161.9211051.367977e-07
0.4995981.9205751.340504e-07
0.51.9204731.335200e-07
0.5016891.920051.321477e-07
0.5037881.9195311.304417e-07
0.5058971.9190171.287285e-07
0.5080141.9185091.270081e-07
0.510141.9180061.252806e-07
0.5122751.9175081.235458e-07
0.5144191.9170151.218038e-07
0.5165711.9165271.200544e-07
0.5187331.9160451.182978e-07
0.5209041.9155671.165338e-07
0.5230841.9150941.147624e-07
0.5252731.9146261.129836e-07
0.5274711.9141631.111974e-07
0.5296791.9137041.094037e-07
0.5318951.913251.076025e-07
0.5341211.9128011.057937e-07
0.5363571.9123561.039774e-07
0.5386011.9119161.021535e-07
0.5408551.911481.003219e-07
0.5431191.9110489.848267e-08
0.5453921.910629.663574e-08
0.5476741.9101979.478109e-08
0.5499661.9097789.291868e-08
0.551.9097729.289100e-08
0.5522681.9093639.217089e-08
0.5545791.9089529.143690e-08
0.55691.9085469.069983e-08
0.559231.9081438.995969e-08
0.561571.9077448.921644e-08
0.5639211.9073498.847009e-08
0.5662811.9069588.772061e-08
0.568651.906578.696800e-08
0.571031.9061868.621223e-08
0.573421.9058068.545330e-08
0.575821.905438.469120e-08
0.5782291.9050578.392591e-08
0.5806491.9046888.315741e-08
0.5830791.9043228.238570e-08
0.5855191.903968.161076e-08
0.587971.9036018.083258e-08
0.590431.9032458.005114e-08
0.5929011.9028937.926643e-08
0.5953821.9025447.847843e-08
0.5978741.9021987.768714e-08
0.61.9019077.701200e-08
0.6003761.9018567.702076e-08
0.6028891.9015177.707925e-08
0.6054121.901187.713799e-08
0.6079451.9008477.719697e-08
0.610491.9005177.725620e-08
0.6130441.9001917.731567e-08
0.615611.8998677.737540e-08
0.6181861.8995467.743538e-08
0.6207731.8992287.749560e-08
0.6233711.8989127.755608e-08
0.625981.89867.761681e-08
0.62861.8982917.767780e-08
0.631231.8979847.773904e-08
0.6338721.897687.780054e-08
0.6365251.8973797.786229e-08
0.6391881.897087.792431e-08
0.6418631.8967847.798658e-08
0.644551.8964917.804911e-08
0.6472471.89627.811191e-08
0.6499561.8959127.817497e-08
0.651.8959077.817600e-08
0.6526761.8956267.819532e-08
0.6554071.8953437.821504e-08
0.658151.8950637.823484e-08
0.6609041.8947847.825473e-08
0.663671.8945097.827470e-08
0.6664471.8942357.829475e-08
0.6692361.8939647.831489e-08
0.6720371.8936967.833511e-08
0.674851.8934297.835541e-08
0.6776741.8931657.837580e-08
0.680511.8929037.839628e-08
0.6833581.8926447.841684e-08
0.6862171.8923867.843749e-08
0.6890891.8921317.845822e-08
0.6919731.8918787.847905e-08
0.6948691.8916277.849995e-08
0.6977771.8913787.852095e-08
0.71.891197.853700e-08
0.7006971.8911317.879562e-08
0.7036291.8908867.988361e-08
0.7065741.8906448.097616e-08
0.7095311.8904038.207328e-08
0.71251.8901648.317500e-08
0.7154821.8899278.428132e-08
0.7184761.8896938.539227e-08
0.7214831.889468.650787e-08
0.7245021.8892298.762814e-08
0.7275341.8889998.875310e-08
0.7305791.8887728.988277e-08
0.7336371.8885469.101717e-08
0.7367071.8883239.215631e-08
0.739791.8881019.330022e-08
0.7428861.8878819.444891e-08
0.7459951.8876629.560242e-08
0.7491171.8874459.676075e-08
0.7522521.887239.792393e-08
0.75541.8870179.909197e-08
0.7585611.8868051.002649e-07
0.7617361.8865951.014427e-07
0.7649231.8863871.026255e-07
0.7681251.886181.038132e-07
0.7713391.8859751.050059e-07
0.7745671.8857711.062036e-07
0.7778091.8855691.074063e-07
0.7810641.8853681.086140e-07
0.7843321.8851691.098268e-07
0.7876151.8849711.110447e-07
0.7909111.8847751.122676e-07
0.7942211.8845811.134957e-07
0.7975441.8843871.147289e-07
0.81.8842461.156400e-07
0.8008821.8841951.151273e-07
0.8042341.8840051.131796e-07
0.8075991.8838161.112237e-07
0.8109791.8836281.092596e-07
0.8143731.8834421.072872e-07
0.8177811.8832571.053067e-07
0.8212041.8830731.033178e-07
0.824641.8828911.013206e-07
0.8280911.882719.931505e-08
0.8315571.882539.730111e-08
0.8350371.8823519.527874e-08
0.8385311.8821749.324791e-08
0.8420411.8819989.120858e-08
0.8455641.8818238.916071e-08
0.8491031.8816498.710427e-08
0.8526561.8814778.503923e-08
0.8562251.8813068.296555e-08
0.8598081.8811358.088318e-08
0.8634061.8809667.879211e-08
0.867021.8807987.669228e-08
0.8706481.8806317.458366e-08
0.8742921.8804667.246622e-08
0.877951.8803017.033992e-08
0.8816251.8801376.820472e-08
0.8853141.8799756.606058e-08
0.8890191.8798136.390748e-08
0.892741.8796536.174536e-08
0.8964761.8794935.957419e-08
0.91.8793445.752600e-08
0.9002271.8793355.752230e-08
0.9039951.8791775.746105e-08
0.9077781.8790215.739953e-08
0.9115771.8788655.733776e-08
0.9153921.8787115.727573e-08
0.9192231.8785575.721344e-08
0.9230691.8784045.715089e-08
0.9269321.8782525.708808e-08
0.9308121.8781015.702501e-08
0.9347071.8779515.696167e-08
0.9386191.8778025.689806e-08
0.9425471.8776545.683419e-08
0.9464911.8775065.677005e-08
0.9504521.8773595.670565e-08
0.954431.8772135.664097e-08
0.9584241.8770685.657603e-08
0.9624351.8769245.651081e-08
0.9664631.876785.644532e-08
0.9705071.8766385.637955e-08
0.9745691.8764965.631351e-08
0.9786471.8763555.624720e-08
0.9827431.8762145.618060e-08
0.9868551.8760745.611373e-08
0.9909851.8759355.604658e-08
0.9951321.8757975.597915e-08
0.9992971.8756595.591143e-08
11.8756365.590000e-08
1.003481.8755225.542669e-08
1.007681.8753865.485538e-08
1.01191.875255.428167e-08
1.016131.8751155.370555e-08
1.020381.8749815.312703e-08
1.024651.8748475.254609e-08
1.028941.8747145.196272e-08
1.033251.8745825.137690e-08
1.037571.874455.078863e-08
1.041911.8743185.019790e-08
1.046271.8741884.960470e-08
1.050651.8740584.900902e-08
1.055051.8739284.841084e-08
1.059461.8737994.781016e-08
1.06391.873674.720697e-08
1.068351.8735424.660125e-08
1.072821.8734154.599300e-08
1.077311.8732884.538220e-08
1.081821.8731614.476884e-08
1.086351.8730354.415292e-08
1.090891.872914.353442e-08
1.095461.8727854.291334e-08
1.100041.872664.228965e-08
1.104651.8725364.166335e-08
1.109271.8724124.103444e-08
1.113911.8722894.040289e-08
1.118571.8721663.976869e-08
1.123251.8720433.913185e-08
1.127961.8719213.849234e-08
1.132681.87183.785015e-08
1.137421.8716783.720527e-08
1.142181.8715573.655770e-08
1.146961.8714373.590741e-08
1.151761.8713163.525441e-08
1.156581.8711963.459867e-08
1.161421.8710773.394019e-08
1.166281.8709583.327895e-08
1.171161.8708393.261494e-08
1.176061.870723.194816e-08
1.180981.8706023.127858e-08
1.185921.8704843.060620e-08
1.190891.8703662.993101e-08
1.195871.8702482.925300e-08
1.21.8701512.869100e-08
1.200871.8701312.861436e-08
1.20591.8700142.817349e-08
1.210951.8698972.773078e-08
1.216011.8697812.728621e-08
1.22111.8696642.683979e-08
1.226211.8695482.639149e-08
1.231341.8694322.594132e-08
1.23651.8693172.548927e-08
1.241671.8692012.503532e-08
1.246871.8690862.457947e-08
1.252091.8689712.412172e-08
1.257331.8688562.366205e-08
1.262591.8687412.320046e-08
1.267871.8686262.273693e-08
1.273181.8685122.227147e-08
1.278511.8683972.180406e-08
1.283861.8682832.133469e-08
1.289231.8681692.086335e-08
1.294621.8680552.039005e-08
1.300041.8679411.991476e-08
1.305481.8678271.943749e-08
1.310951.8677131.895822e-08
1.316431.8675991.847694e-08
1.321941.8674851.799365e-08
1.327471.8673721.750833e-08
1.333031.8672581.702098e-08
1.338611.8671441.653160e-08
1.344211.8670311.604017e-08
1.349841.8669171.554668e-08
1.355481.8668041.505112e-08
1.361161.866691.455349e-08
1.366851.8665771.405378e-08
1.372571.8664631.355198e-08
1.378321.8663491.304807e-08
1.384091.8662361.254206e-08
1.389881.8661221.203393e-08
1.395691.8660081.152368e-08
1.41.8659241.114600e-08
1.401541.8658941.204292e-08
1.40741.865781.546868e-08
1.413291.8656661.890878e-08
1.419211.8655522.236327e-08
1.425141.8654382.583222e-08
1.431111.8653242.931568e-08
1.43711.865213.281373e-08
1.443111.8650953.632641e-08
1.449151.864983.985380e-08
1.455221.8648664.339594e-08
1.461311.8647514.695291e-08
1.467421.8646365.052477e-08
1.473561.864525.411157e-08
1.479731.8644055.771339e-08
1.485921.8642896.133027e-08
1.492141.8641746.496230e-08
1.498381.8640586.860952e-08
1.504661.8639417.227201e-08
1.510951.8638257.594982e-08
1.517281.8637087.964302e-08
1.523631.8635918.335169e-08
1.531.8634748.707587e-08
1.53641.8633579.081563e-08
1.542831.8632399.457105e-08
1.549291.8631219.834219e-08
1.555771.8630031.021291e-07
1.562291.8628841.059319e-07
1.568821.8627661.097505e-07
1.575391.8626471.135852e-07
1.581981.8625271.174359e-07
1.58861.8624071.213027e-07
1.595251.8622871.251857e-07
1.61.8622021.279600e-07
1.601931.8621671.290929e-07
1.608631.8620461.330362e-07
1.615361.8619251.369960e-07
1.622121.8618031.409723e-07
1.628911.8616811.449653e-07
1.635731.8615591.489750e-07
1.642571.8614361.530014e-07
1.649451.8613131.570447e-07
1.656351.861191.611050e-07
1.663281.8610661.651822e-07
1.670241.8609411.692765e-07
1.677231.8608161.733879e-07
1.684251.8606911.775165e-07
1.69131.8605651.816624e-07
1.698381.8604391.858257e-07
1.705491.8603121.900064e-07
1.712621.8601851.942046e-07
1.719791.8600571.984203e-07
1.726991.8599292.026537e-07
1.734211.85982.069048e-07
1.741471.8596712.111737e-07
1.748761.8595412.154605e-07
1.756081.8594112.197652e-07
1.763431.859282.240879e-07
1.770811.8591482.284287e-07
1.778221.8590162.327877e-07
1.785661.8588832.371649e-07
1.793131.858752.415604e-07
1.81.8586272.456000e-07
1.800641.8586162.463089e-07
1.808171.8584812.547023e-07
1.815741.8583462.631309e-07
1.823341.858212.715947e-07
1.830971.8580732.800940e-07
1.838631.8579362.886288e-07
1.846331.8577982.971994e-07
1.854051.8576593.058058e-07
1.861811.857523.144483e-07
1.86961.857383.231269e-07
1.877431.8572393.318418e-07
1.885281.8570983.405932e-07
1.893171.8569563.493812e-07
1.90111.8568133.582060e-07
1.909051.8566693.670678e-07
1.917041.8565243.759666e-07
1.925061.8563793.849026e-07
1.933121.8562333.938761e-07
1.941211.8560864.028871e-07
1.949331.8559384.119358e-07
1.957491.8557894.210224e-07
1.965681.855644.301470e-07
1.973911.8554894.393098e-07
1.982171.8553384.485110e-07
1.990471.8551864.577506e-07
1.99881.8550334.670289e-07
21.8550114.683700e-07
2.007161.8548794.883892e-07
2.015561.8547245.118721e-07
2.0241.8545685.354534e-07
2.032471.8544125.591333e-07
2.040971.8542545.829123e-07
2.049511.8540956.067908e-07
2.058091.8539356.307693e-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
—