Optical constants

Refractive index of J-LASF013 (HIKARI)

J-LASF013: n,k 0.365–2.058 µm

Data
formula 3 + tabulated k
Range
0.365–2.058 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.058 µm
Refractive index n
1.8044
Extinction coefficient k
1.04495e-08
Permittivity ε1
3.25585
Permittivity ε2
3.77100e-08
Absorption coefficient α
0.00223472 cm⁻¹
Penetration depth δ = λ/(2πk)
8.94966e+09 nm
Abbe number Vd
39.607
Chromatic dispersion dn/dλ
-0.103536 µm⁻¹
Group index ng
1.86523
Group velocity dispersion
195.3 fs²/mm
Dispersion parameter D
-1065.47 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-LASF013 (HIKARI): J-LASF013
hikari_j_lasf013 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LASF013", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_lasf013.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_lasf013.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=3.1635095−0.0145894059⁢λ2.0−0.000212587159⁢λ4.0+0.0315033746⁢λ−2.0+0.000585519102⁢λ−4.0+5.85508847×10-5⁢λ−6.0−3.44096993×10-6⁢λ−8.0+3.17840715×10-7⁢λ−10.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C13.1635095
C2-0.0145894059
C32.0
C4-0.000212587159
C54.0
C60.0315033746
C7-2.0
C80.000585519102
C9-4.0
C105.85508847e-05
C11-6.0
C12-3.44096993e-06
C13-8.0
C143.17840715e-07
C15-10.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 5.8437e-06 1.418e-08 -2.867e-12 7.1915e-07 8.2727e-10 0.23354
nd
1.804400
Vd
39.607321
density
value: 4200
thermal expansion
value: 5.1e-06, temperature range: 243 343
dPgF
-0.006
resistance
phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 4.93e-06 K⁻¹ at 633 nm, dn/dT = 3.81e-06 K⁻¹ at 1310 nm, dn/dT = 3.71e-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 421 wavelengths, the same grid as the API and the library
J-LASF013 (HIKARI), J-LASF013: n and k versus wavelength
λ (µm)nk
0.3650151.8580639.940003e-07
0.3666011.85729.105190e-07
0.3681931.8563478.266750e-07
0.3697931.8555067.424668e-07
0.371.8553987.315600e-07
0.3713991.8546766.930122e-07
0.3730131.8538586.485650e-07
0.3746331.8530496.039248e-07
0.3762611.8522525.590905e-07
0.3778951.8514645.140616e-07
0.3795371.8506874.688370e-07
0.381.850474.560800e-07
0.3811861.849924.363034e-07
0.3828421.8491634.086837e-07
0.3845051.8484153.809439e-07
0.3861751.8476763.530837e-07
0.3878531.8469473.251024e-07
0.3895381.8462272.969996e-07
0.391.8460322.892900e-07
0.391231.8455162.783491e-07
0.392931.8448142.632312e-07
0.3946371.844122.480476e-07
0.3963511.8434352.327981e-07
0.3980731.8427582.174823e-07
0.3998021.8420892.021000e-07
0.41.8420132.003400e-07
0.4015391.8414291.935547e-07
0.4032831.8407761.858637e-07
0.4050351.8401311.781393e-07
0.4067951.8394941.703814e-07
0.4085621.8388641.625897e-07
0.4103371.8382421.547643e-07
0.412121.8376271.469048e-07
0.413911.8370191.390111e-07
0.4157081.8364191.310832e-07
0.4175141.8358251.231209e-07
0.4193281.8352381.151239e-07
0.421.8350231.121600e-07
0.4211491.8346581.099849e-07
0.4229791.8340851.065227e-07
0.4248171.8335181.030455e-07
0.4266621.8329589.955315e-08
0.4285161.8324049.604564e-08
0.4303771.8318569.252290e-08
0.4322471.8313158.898485e-08
0.4341251.8307798.543143e-08
0.436011.8302498.186257e-08
0.4379051.8297267.827821e-08
0.4398071.8292087.467828e-08
0.441.8291567.431300e-08
0.4417181.8286967.268223e-08
0.4436371.8281897.086031e-08
0.4455641.8276886.903047e-08
0.4474991.8271936.719268e-08
0.4494431.8267036.534691e-08
0.4513961.8262186.349312e-08
0.4533571.8257396.163128e-08
0.4553261.8252645.976135e-08
0.4573041.8247955.788329e-08
0.4592911.8243315.599708e-08
0.461.8241675.532400e-08
0.4612861.8238715.423478e-08
0.463291.8234175.253795e-08
0.4653031.8229685.083375e-08
0.4673241.8225234.912214e-08
0.4693541.8220834.740309e-08
0.4713931.8216474.567658e-08
0.4734411.8212164.394257e-08
0.4754981.820794.220103e-08
0.4775641.8203684.045192e-08
0.4796381.819953.869521e-08
0.481.8198783.838900e-08
0.4817221.8195373.749018e-08
0.4838151.8191283.639789e-08
0.4859171.8187233.530086e-08
0.4880271.8183223.419905e-08
0.4901481.8179263.309246e-08
0.4922771.8175333.198107e-08
0.4944151.8171453.086484e-08
0.4965631.816762.974377e-08
0.4987211.8163792.861783e-08
0.51.8161562.795000e-08
0.5008871.8160022.768743e-08
0.5030631.8156292.704334e-08
0.5052481.815262.639645e-08
0.5074431.8148942.574676e-08
0.5096481.8145322.509424e-08
0.5118621.8141732.443889e-08
0.5140861.8138192.378069e-08
0.5163191.8134672.311963e-08
0.5185621.8131192.245570e-08
0.5208151.8127752.178888e-08
0.5230771.8124332.111917e-08
0.5253491.8120952.044655e-08
0.5276321.8117611.977100e-08
0.5299241.811431.909253e-08
0.5322261.8111011.841110e-08
0.5345381.8107761.772672e-08
0.536861.8104551.703936e-08
0.5391931.8101361.634901e-08
0.5415351.809821.565567e-08
0.5438871.8095071.495931e-08
0.546251.8091981.425993e-08
0.5486231.8088911.355751e-08
0.551.8087151.315000e-08
0.5510071.8085871.307770e-08
0.55341.8082861.290578e-08
0.5558041.8079871.273311e-08
0.5582191.8076921.255970e-08
0.5606441.8073991.238553e-08
0.563081.8071091.221060e-08
0.5655261.8068221.203491e-08
0.5679821.8065371.185846e-08
0.570451.8062551.168124e-08
0.5729281.8059761.150326e-08
0.5754171.8056991.132450e-08
0.5779171.8054251.114496e-08
0.5804271.8051531.096464e-08
0.5829491.8048841.078354e-08
0.5854811.8046171.060166e-08
0.5880251.8043521.041898e-08
0.5905791.804091.023551e-08
0.5931451.803831.005124e-08
0.5957221.8035739.866173e-09
0.598311.8033189.680301e-09
0.61.8031539.558900e-09
0.6009091.8030659.667642e-09
0.6035191.8028149.979966e-09
0.6061411.8025661.029365e-08
0.6087741.8023191.060869e-08
0.6114191.8020751.092510e-08
0.6140751.8018331.124289e-08
0.6167431.8015931.156206e-08
0.6194221.8013551.188261e-08
0.6221131.801121.220456e-08
0.6248161.8008861.252790e-08
0.627531.8006541.285265e-08
0.6302561.8004251.317881e-08
0.6329941.8001971.350639e-08
0.6357441.7999711.383539e-08
0.6385061.7997471.416582e-08
0.641281.7995251.449769e-08
0.6440661.7993051.483099e-08
0.6468641.7990871.516575e-08
0.6496741.798871.550196e-08
0.651.7988451.554100e-08
0.6524961.7986551.587971e-08
0.6553311.7984421.626436e-08
0.6581781.7982311.665069e-08
0.6610371.7980221.703869e-08
0.6639081.7978141.742838e-08
0.6667931.7976081.781976e-08
0.6696891.7974041.821285e-08
0.6725991.7972011.860764e-08
0.6755211.7971.900414e-08
0.6784551.7968011.940237e-08
0.6814031.7966031.980233e-08
0.6843631.7964062.020402e-08
0.6873361.7962122.060746e-08
0.6903221.7960182.101266e-08
0.6933211.7958272.141961e-08
0.6963331.7956372.182833e-08
0.6993581.7954482.223883e-08
0.71.7954082.232600e-08
0.7023961.7952612.301618e-08
0.7054471.7950752.389522e-08
0.7085121.794892.477807e-08
0.711591.7947072.566477e-08
0.7146811.7945262.655531e-08
0.7177861.7943462.744973e-08
0.7209041.7941672.834802e-08
0.7240361.7939892.925023e-08
0.7271811.7938133.015635e-08
0.730341.7936383.106641e-08
0.7335131.7934643.198042e-08
0.73671.7932923.289840e-08
0.73991.7931213.382037e-08
0.7431141.7929513.474634e-08
0.7463421.7927833.567634e-08
0.7495851.7926153.661038e-08
0.7528411.7924493.754848e-08
0.7561121.7922843.849065e-08
0.7593961.792123.943691e-08
0.7626951.7919574.038728e-08
0.7660091.7917964.134179e-08
0.7693361.7916354.230044e-08
0.7726791.7914764.326325e-08
0.7760351.7913174.423025e-08
0.7794071.791164.520145e-08
0.7827931.7910044.617686e-08
0.7861931.7908494.715652e-08
0.7896091.7906954.814043e-08
0.7930391.7905424.912861e-08
0.7964841.7903895.012109e-08
0.7999441.7902385.111788e-08
0.81.7902365.113400e-08
0.8034191.7900884.963064e-08
0.8069091.7899394.809603e-08
0.8104151.7897914.655476e-08
0.8139351.7896434.500680e-08
0.8174711.7894974.345211e-08
0.8210231.7893524.189066e-08
0.8245891.7892074.032244e-08
0.8281721.7890633.874740e-08
0.8317691.7889213.716551e-08
0.8353831.7887793.557676e-08
0.8390121.7886383.398110e-08
0.8426571.7884973.237851e-08
0.8463171.7883583.076896e-08
0.8499941.7882192.915242e-08
0.8536871.7880812.752886e-08
0.8573951.7879442.589824e-08
0.861121.7878082.426054e-08
0.8648611.7876722.261572e-08
0.8686181.7875382.096376e-08
0.8723911.7874031.930462e-08
0.8761811.787271.763827e-08
0.8799881.7871381.596469e-08
0.8838111.7870061.428383e-08
0.887651.7868741.259567e-08
0.8915061.7867441.090018e-08
0.8953791.7866149.197323e-09
0.8992691.7864857.487068e-09
0.91.7864617.165600e-09
0.9031751.7863567.443945e-09
0.9070991.7862287.787865e-09
0.911041.7861018.133279e-09
0.9149981.7859748.480193e-09
0.9189721.7858488.828615e-09
0.9229651.7857229.178550e-09
0.9269741.7855979.530005e-09
0.9310011.7854739.882987e-09
0.9350461.7853491.023750e-08
0.9391081.7852261.059356e-08
0.9431881.7851031.095116e-08
0.9472851.7849811.131032e-08
0.95141.7848591.167103e-08
0.9555331.7847381.203332e-08
0.9596841.7846171.239717e-08
0.9638531.7844971.276261e-08
0.9680411.7843771.312964e-08
0.9722461.7842581.349826e-08
0.976471.7841391.386848e-08
0.9807121.7840211.424031e-08
0.9849721.7839031.461375e-08
0.9892511.7837851.498882e-08
0.9935491.7836681.536551e-08
0.9978651.7835521.574385e-08
11.7834941.593100e-08
1.00221.7834351.586086e-08
1.006551.7833191.572204e-08
1.010931.7832041.558262e-08
1.015321.7830891.544259e-08
1.019731.7829741.530196e-08
1.024161.7828591.516071e-08
1.028611.7827451.501885e-08
1.033081.7826311.487637e-08
1.037561.7825181.473328e-08
1.042071.7824051.458956e-08
1.04661.7822921.444522e-08
1.051151.7821791.430025e-08
1.055711.7820671.415465e-08
1.06031.7819551.400842e-08
1.06491.7818431.386156e-08
1.069531.7817321.371405e-08
1.074181.781621.356591e-08
1.078841.7815091.341712e-08
1.083531.7813991.326769e-08
1.088241.7812881.311760e-08
1.092961.7811771.296687e-08
1.097711.7810671.281548e-08
1.102481.7809571.266343e-08
1.107271.7808471.251072e-08
1.112081.7807381.235735e-08
1.116911.7806281.220331e-08
1.121761.7805191.204860e-08
1.126641.780411.189322e-08
1.131531.7803011.173717e-08
1.136451.7801921.158043e-08
1.141381.7800831.142302e-08
1.146341.7799741.126492e-08
1.151321.7798651.110614e-08
1.156321.7797571.094666e-08
1.161351.7796481.078650e-08
1.166391.779541.062563e-08
1.171461.7794321.046407e-08
1.176551.7793231.030181e-08
1.181661.7792151.013884e-08
1.186791.7791079.975165e-09
1.191951.7789999.810778e-09
1.197131.778899.645677e-09
1.21.7788319.554100e-09
1.202331.7787821.009302e-08
1.207551.7786741.130193e-08
1.21281.7785661.251609e-08
1.218071.7784581.373552e-08
1.223361.7783491.496025e-08
1.228671.7782411.619030e-08
1.234011.7781331.742569e-08
1.239371.7780251.866645e-08
1.244751.7779161.991260e-08
1.250161.7778082.116417e-08
1.255591.7776992.242117e-08
1.261051.777592.368363e-08
1.266531.7774812.495158e-08
1.272031.7773732.622504e-08
1.277551.7772642.750402e-08
1.28311.7771542.878857e-08
1.288681.7770453.007869e-08
1.294281.7769363.137442e-08
1.29991.7768263.267578e-08
1.305551.7767163.398279e-08
1.311221.7766063.529548e-08
1.316911.7764963.661387e-08
1.322641.7763863.793799e-08
1.328381.7762753.926786e-08
1.334151.7761654.060351e-08
1.339951.7760544.194496e-08
1.345771.7759434.329224e-08
1.351621.7758314.464537e-08
1.357491.775724.600438e-08
1.363381.7756084.736929e-08
1.369311.7754954.874013e-08
1.375261.7753835.011693e-08
1.381231.775275.149971e-08
1.387231.7751575.288850e-08
1.393261.7750445.428332e-08
1.399311.774935.568420e-08
1.41.7749175.584400e-08
1.405391.7748165.778698e-08
1.411491.7747025.998844e-08
1.417631.7745876.219947e-08
1.423781.7744726.442010e-08
1.429971.7743576.665038e-08
1.436181.7742416.889034e-08
1.442421.7741257.114004e-08
1.448691.7740087.339951e-08
1.454981.7738917.566880e-08
1.46131.7737747.794794e-08
1.467651.7736568.023699e-08
1.474031.7735388.253598e-08
1.480431.7734198.484496e-08
1.486861.77338.716397e-08
1.493321.773188.949305e-08
1.499811.773069.183225e-08
1.506321.7729399.418161e-08
1.512871.7728189.654118e-08
1.519441.7726979.891100e-08
1.526041.7725751.012911e-07
1.532671.7724521.036816e-07
1.539331.7723291.060824e-07
1.546011.7722051.084937e-07
1.552731.7720811.109154e-07
1.559481.7719561.133477e-07
1.566251.7718311.157905e-07
1.573051.7717051.182440e-07
1.579891.7715781.207081e-07
1.586751.7714511.231829e-07
1.593641.7713231.256684e-07
1.61.7712051.279600e-07
1.600571.7711941.284599e-07
1.607521.7710651.345805e-07
1.61451.7709351.407277e-07
1.621521.7708051.469016e-07
1.628561.7706731.531023e-07
1.635641.7705411.593299e-07
1.642741.7704091.655846e-07
1.649881.7702761.718665e-07
1.657051.7701411.781756e-07
1.664251.7700071.845122e-07
1.671481.7698711.908763e-07
1.678741.7697351.972680e-07
1.686031.7695982.036876e-07
1.693351.769462.101350e-07
1.700711.7693212.166104e-07
1.70811.7691812.231139e-07
1.715521.7690412.296457e-07
1.722971.76892.362059e-07
1.730461.7687582.427945e-07
1.737971.7686152.494118e-07
1.745521.7684712.560578e-07
1.753111.7683262.627327e-07
1.760721.768182.694366e-07
1.768371.7680342.761697e-07
1.776051.7678862.829320e-07
1.783771.7677382.897236e-07
1.791521.7675882.965448e-07
1.79931.7674383.033956e-07
1.81.7674243.040100e-07
1.807121.7672863.216498e-07
1.814971.7671343.411034e-07
1.822851.7669813.606416e-07
1.830771.7668263.802646e-07
1.838731.7666713.999729e-07
1.846711.7665144.197668e-07
1.854741.7663564.396467e-07
1.862791.7661974.596130e-07
1.870891.7660384.796660e-07
1.879011.7658764.998061e-07
1.887181.7657145.200337e-07
1.895371.7655515.403492e-07
1.903611.7653865.607529e-07
1.911881.7652215.812453e-07
1.920181.7650546.018267e-07
1.928531.7648866.224975e-07
1.93691.7647166.432581e-07
1.945321.7645466.641089e-07
1.953771.7643746.850503e-07
1.962261.7642017.060826e-07
1.970781.7640267.272063e-07
1.979341.763857.484218e-07
1.987941.7636737.697295e-07
1.996581.7634957.911297e-07
21.7634247.996100e-07
2.005251.7633158.479459e-07
2.013961.7631349.281284e-07
2.022711.7629511.008659e-06
2.03151.7627671.089540e-06
2.040321.7625811.170772e-06
2.049191.7623941.252357e-06
2.058091.7622061.334297e-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
—