Optical constants

Refractive index of J-LASF09A (HIKARI)

J-LASF09A: 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
1.816
Extinction coefficient k
3.39405e-08
Permittivity ε1
3.29784
Permittivity ε2
1.23272e-07
Absorption coefficient α
0.00725849 cm⁻¹
Penetration depth δ = λ/(2πk)
2.75539e+09 nm
Abbe number Vd
46.594
Chromatic dispersion dn/dλ
-0.0898759 µm⁻¹
Group index ng
1.86881
Group velocity dispersion
164.407 fs²/mm
Dispersion parameter D
-896.93 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-LASF09A (HIKARI): J-LASF09A
hikari_j_lasf09a = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LASF09A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_lasf09a.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_lasf09a.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=3.21676146−0.013942445⁢λ2.0−0.000118797124⁢λ4.0+0.0279205286⁢λ−2.0+0.000601395043⁢λ−4.0−4.6499054×10-6⁢λ−6.0+1.72221463×10-6⁢λ−8.0−3.69002554×10-8⁢λ−10.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C13.21676146
C2-0.013942445
C32.0
C4-0.000118797124
C54.0
C60.0279205286
C7-2.0
C80.000601395043
C9-4.0
C10-4.6499054e-06
C11-6.0
C121.72221463e-06
C13-8.0
C14-3.69002554e-08
C15-10.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 2.9976e-06 1.104e-08 1.8476e-12 7.0436e-07 7.6931e-10 0.16596
nd
1.816000
Vd
46.594128
density
value: 4990
thermal expansion
value: 5.6e-06, temperature range: 243 343
dPgF
-0.0096

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 3.08e-06 K⁻¹ at 633 nm, dn/dT = 2.11e-06 K⁻¹ at 1310 nm, dn/dT = 2.02e-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-LASF09A (HIKARI), J-LASF09A: n and k versus wavelength
λ (µm)nk
0.3650151.8603652.961979e-07
0.3666011.8596912.790563e-07
0.3681931.8590252.618403e-07
0.3697931.8583662.445495e-07
0.371.8582822.423100e-07
0.3713991.8577152.318937e-07
0.3730131.8570712.198832e-07
0.3746331.8564342.078205e-07
0.3762611.8558041.957054e-07
0.3778951.8551811.835377e-07
0.3795371.8545651.713172e-07
0.381.8543931.678700e-07
0.3811861.8539551.622213e-07
0.3828421.8533531.543323e-07
0.3845051.8527561.464090e-07
0.3861751.8521671.384513e-07
0.3878531.8515831.304591e-07
0.3895381.8510061.224321e-07
0.391.8508491.202300e-07
0.391231.8504351.169637e-07
0.392931.8498711.124504e-07
0.3946371.8493121.079176e-07
0.3963511.8487591.033650e-07
0.3980731.8482139.879263e-08
0.3998021.8476729.420042e-08
0.41.847619.367500e-08
0.4015391.8471369.166264e-08
0.4032831.8466078.938169e-08
0.4050351.8460838.709083e-08
0.4067951.8455648.479002e-08
0.4085621.8450518.247921e-08
0.4103371.8445448.015836e-08
0.412121.8440417.782744e-08
0.413911.8435447.548638e-08
0.4157081.8430527.313516e-08
0.4175141.8425657.077372e-08
0.4193281.8420846.840202e-08
0.421.8419076.752300e-08
0.4211491.8416076.688812e-08
0.4229791.8411356.587756e-08
0.4248171.8406686.486260e-08
0.4266621.8402056.384324e-08
0.4285161.8397486.281945e-08
0.4303771.8392956.179121e-08
0.4322471.8388466.075850e-08
0.4341251.8384035.972131e-08
0.436011.8379635.867961e-08
0.4379051.8375295.763339e-08
0.4398071.8370985.658262e-08
0.441.8370555.647600e-08
0.4417181.8366725.573941e-08
0.4436371.836255.491648e-08
0.4455641.8358325.408997e-08
0.4474991.8354195.325988e-08
0.4494431.835015.242617e-08
0.4513961.8346045.158885e-08
0.4533571.8342035.074789e-08
0.4553261.8338064.990327e-08
0.4573041.8334124.905499e-08
0.4592911.8330234.820302e-08
0.461.8328854.789900e-08
0.4612861.8326374.778419e-08
0.463291.8322554.760534e-08
0.4653031.8318774.742571e-08
0.4673241.8315034.724531e-08
0.4693541.8311324.706411e-08
0.4713931.8307654.688213e-08
0.4734411.8304014.669936e-08
0.4754981.8300414.651580e-08
0.4775641.8296844.633144e-08
0.4796381.8293314.614628e-08
0.481.829274.611400e-08
0.4817221.8289814.558663e-08
0.4838151.8286354.494573e-08
0.4859171.8282924.430206e-08
0.4880271.8279524.365558e-08
0.4901481.8276154.300630e-08
0.4922771.8272824.235420e-08
0.4944151.8269514.169926e-08
0.4965631.8266244.104148e-08
0.4987211.82634.038084e-08
0.51.826113.998900e-08
0.5008871.8259793.990324e-08
0.5030631.8256613.969286e-08
0.5052481.8253463.948158e-08
0.5074431.8250343.926937e-08
0.5096481.8247253.905625e-08
0.5118621.8244193.884219e-08
0.5140861.8241153.862721e-08
0.5163191.8238153.841130e-08
0.5185621.8235173.819444e-08
0.5208151.8232223.797665e-08
0.5230771.822933.775790e-08
0.5253491.822643.753821e-08
0.5276321.8223533.731756e-08
0.5299241.8220693.709596e-08
0.5322261.8217873.687339e-08
0.5345381.8215083.664985e-08
0.536861.8212313.642535e-08
0.5391931.8209573.619987e-08
0.5415351.8206853.597341e-08
0.5438871.8204163.574596e-08
0.546251.8201493.551753e-08
0.5486231.8198853.528810e-08
0.551.8197333.515500e-08
0.5510071.8196233.512249e-08
0.55341.8193633.504517e-08
0.5558041.8191053.496752e-08
0.5582191.818853.488953e-08
0.5606441.8185983.481120e-08
0.563081.8183473.473253e-08
0.5655261.8180993.465352e-08
0.5679821.8178523.457417e-08
0.570451.8176083.449447e-08
0.5729281.8173663.441442e-08
0.5754171.8171273.433403e-08
0.5779171.8168893.425329e-08
0.5804271.8166533.417219e-08
0.5829491.816423.409075e-08
0.5854811.8161883.400895e-08
0.5880251.8159583.392680e-08
0.5905791.8157313.384429e-08
0.5931451.8155053.376142e-08
0.5957221.8152813.367819e-08
0.598311.815063.359460e-08
0.61.8149163.354000e-08
0.6009091.814843.340163e-08
0.6035191.8146223.300421e-08
0.6061411.8144053.260506e-08
0.6087741.8141913.220418e-08
0.6114191.8139783.180156e-08
0.6140751.8137673.139719e-08
0.6167431.8135583.099106e-08
0.6194221.8133513.058316e-08
0.6221131.8131453.017350e-08
0.6248161.8129422.976206e-08
0.627531.8127392.934882e-08
0.6302561.8125392.893380e-08
0.6329941.812342.851697e-08
0.6357441.8121422.809832e-08
0.6385061.8119472.767787e-08
0.641281.8117532.725558e-08
0.6440661.811562.683146e-08
0.6468641.8113692.640550e-08
0.6496741.811182.597768e-08
0.651.8111582.592800e-08
0.6524961.8109922.491189e-08
0.6553311.8108052.375794e-08
0.6581781.810622.259897e-08
0.6610371.8104372.143497e-08
0.6639081.8102552.026591e-08
0.6667931.8100741.909178e-08
0.6696891.8098951.791254e-08
0.6725991.8097171.672818e-08
0.6755211.809541.553868e-08
0.6784551.8093651.434401e-08
0.6814031.8091921.314414e-08
0.6843631.8090191.193907e-08
0.6873361.8088481.072876e-08
0.6903221.8086789.513194e-09
0.6933211.808518.292346e-09
0.6963331.8083427.066194e-09
0.6993581.8081765.834716e-09
0.71.8081415.573200e-09
0.7023961.8080125.897919e-09
0.7054471.8078486.311496e-09
0.7085121.8076866.726869e-09
0.711591.8075257.144047e-09
0.7146811.8073657.563038e-09
0.7177861.8072067.983848e-09
0.7209041.8070488.406487e-09
0.7240361.8068928.830961e-09
0.7271811.8067369.257280e-09
0.730341.8065829.685451e-09
0.7335131.8064291.011548e-08
0.73671.8062771.054738e-08
0.73991.8061261.098116e-08
0.7431141.8059761.141681e-08
0.7463421.8058271.185437e-08
0.7495851.8056791.229382e-08
0.7528411.8055321.273518e-08
0.7561121.8053861.317846e-08
0.7593961.8052411.362367e-08
0.7626951.8050971.407081e-08
0.7660091.8049551.451989e-08
0.7693361.8048121.497092e-08
0.7726791.8046711.542391e-08
0.7760351.8045311.587887e-08
0.7794071.8043921.633581e-08
0.7827931.8042541.679473e-08
0.7861931.8041161.725565e-08
0.7896091.803981.771856e-08
0.7930391.8038441.818349e-08
0.7964841.8037091.865044e-08
0.7999441.8035751.911942e-08
0.81.8035731.912700e-08
0.8034191.8034421.058163e-07
0.8069091.803311.943069e-07
0.8104151.8031782.831819e-07
0.8139351.8030473.724431e-07
0.8174711.8029184.620920e-07
0.8210231.8027885.521304e-07
0.8245891.802666.425599e-07
0.8281721.8025327.333823e-07
0.8317691.8024058.245992e-07
0.8353831.8022799.162124e-07
0.8390121.8021541.008224e-06
0.8426571.8020291.100634e-06
0.8463171.8019051.193447e-06
0.8499941.8017821.286662e-06
0.8536871.8016591.380283e-06
0.8573951.8015371.474310e-06
0.861121.8014161.568746e-06
0.8648611.8012951.663592e-06
0.8686181.8011751.758850e-06
0.8723911.8010551.854521e-06
0.8761811.8009361.950609e-06
0.8799881.8008182.047114e-06
0.8838111.8007012.144038e-06
0.887651.8005842.241383e-06
0.8915061.8004672.339151e-06
0.8953791.8003512.437344e-06
0.8992691.8002362.535963e-06
0.91.8002142.554500e-06
0.9031751.8001212.563512e-06
0.9070991.8000072.574647e-06
0.911041.7998932.585831e-06
0.9149981.799782.597063e-06
0.9189721.7996672.608344e-06
0.9229651.7995552.619674e-06
0.9269741.7994432.631053e-06
0.9310011.7993322.642482e-06
0.9350461.7992212.653960e-06
0.9391081.7991112.665488e-06
0.9431881.7990012.677066e-06
0.9472851.7988922.688695e-06
0.95141.7987832.700374e-06
0.9555331.7986742.712103e-06
0.9596841.7985662.723884e-06
0.9638531.7984592.735716e-06
0.9680411.7983512.747599e-06
0.9722461.7982442.759534e-06
0.976471.7981382.771521e-06
0.9807121.7980322.783560e-06
0.9849721.7979262.795651e-06
0.9892511.7978212.807795e-06
0.9935491.7977152.819991e-06
0.9978651.7976112.832240e-06
11.7975592.838300e-06
1.00221.7975062.807502e-06
1.006551.7974022.746549e-06
1.010931.7972982.685330e-06
1.015321.7971952.623846e-06
1.019731.7970922.562094e-06
1.024161.7969892.500075e-06
1.028611.7968862.437785e-06
1.033081.7967842.375226e-06
1.037561.7966822.312394e-06
1.042071.796582.249290e-06
1.04661.7964792.185911e-06
1.051151.7963772.122257e-06
1.055711.7962762.058326e-06
1.06031.7961751.994118e-06
1.06491.7960751.929631e-06
1.069531.7959741.864864e-06
1.074181.7958741.799815e-06
1.078841.7957741.734484e-06
1.083531.7956741.668869e-06
1.088241.7955741.602969e-06
1.092961.7954751.536782e-06
1.097711.7953751.470308e-06
1.102481.7952761.403545e-06
1.107271.7951771.336493e-06
1.112081.7950781.269149e-06
1.116911.7949791.201512e-06
1.121761.794881.133582e-06
1.126641.7947821.065356e-06
1.131531.7946839.968342e-07
1.136451.7945859.280146e-07
1.141381.7944868.588960e-07
1.146341.7943887.894772e-07
1.151321.794297.197568e-07
1.156321.7941926.497335e-07
1.161351.7940935.794060e-07
1.166391.7939955.087730e-07
1.171461.7938974.378332e-07
1.176551.7937993.665851e-07
1.181661.7937012.950276e-07
1.186791.7936032.231592e-07
1.191951.7935051.509786e-07
1.197131.7934077.848437e-08
1.21.7933533.827400e-08
1.202331.7933093.887021e-08
1.207551.7932114.020764e-08
1.21281.7931134.155088e-08
1.218071.7930154.289995e-08
1.223361.7929174.425488e-08
1.228671.7928194.561570e-08
1.234011.7927214.698242e-08
1.239371.7926234.835509e-08
1.244751.7925244.973372e-08
1.250161.7924265.111834e-08
1.255591.7923275.250898e-08
1.261051.7922295.390565e-08
1.266531.792135.530839e-08
1.272031.7920315.671723e-08
1.277551.7919325.813219e-08
1.28311.7918335.955329e-08
1.288681.7917346.098057e-08
1.294281.7916346.241405e-08
1.29991.7915356.385375e-08
1.305551.7914356.529971e-08
1.311221.7913356.675195e-08
1.316911.7912356.821050e-08
1.322641.7911356.967539e-08
1.328381.7910347.114664e-08
1.334151.7909347.262428e-08
1.339951.7908337.410834e-08
1.345771.7907327.559885e-08
1.351621.790637.709584e-08
1.357491.7905297.859932e-08
1.363381.7904278.010934e-08
1.369311.7903258.162592e-08
1.375261.7902238.314908e-08
1.381231.790128.467887e-08
1.387231.7900178.621530e-08
1.393261.7899148.775840e-08
1.399311.789818.930821e-08
1.41.7897998.948500e-08
1.405391.7897079.121538e-08
1.411491.7896039.317595e-08
1.417631.7894989.514505e-08
1.423781.7893939.712269e-08
1.429971.7892889.910893e-08
1.436181.7891831.011038e-07
1.442421.7890771.031073e-07
1.448691.7889711.051196e-07
1.454981.7888641.071406e-07
1.46131.7887581.091703e-07
1.467651.788651.112089e-07
1.474031.7885431.132563e-07
1.480431.7884341.153126e-07
1.486861.7883261.173779e-07
1.493321.7882171.194521e-07
1.499811.7881081.215354e-07
1.506321.7879981.236277e-07
1.512871.7878871.257291e-07
1.519441.7877771.278396e-07
1.526041.7876651.299592e-07
1.532671.7875541.320881e-07
1.539331.7874421.342263e-07
1.546011.7873291.363737e-07
1.552731.7872161.385305e-07
1.559481.7871021.406966e-07
1.566251.7869881.428721e-07
1.573051.7868731.450571e-07
1.579891.7867581.472516e-07
1.586751.7866421.494556e-07
1.593641.7865251.516692e-07
1.61.7864181.537100e-07
1.600571.7864081.539709e-07
1.607521.786291.571656e-07
1.61451.7861721.603741e-07
1.621521.7860531.635966e-07
1.628561.7859341.668331e-07
1.635641.7858141.700837e-07
1.642741.7856931.733483e-07
1.649881.7855721.766272e-07
1.657051.785451.799203e-07
1.664251.7853271.832277e-07
1.671481.7852041.865494e-07
1.678741.785081.898856e-07
1.686031.7849551.932363e-07
1.693351.7848291.966015e-07
1.700711.7847031.999814e-07
1.70811.7845762.033760e-07
1.715521.7844482.067852e-07
1.722971.784322.102094e-07
1.730461.7841912.136483e-07
1.737971.7840612.171023e-07
1.745521.783932.205712e-07
1.753111.7837982.240552e-07
1.760721.7836662.275543e-07
1.768371.7835332.310686e-07
1.776051.7833992.345982e-07
1.783771.7832642.381432e-07
1.791521.7831282.417035e-07
1.79931.7829922.452793e-07
1.81.7829792.456000e-07
1.807121.7828542.623485e-07
1.814971.7827162.808193e-07
1.822851.7825772.993703e-07
1.830771.7824363.180019e-07
1.838731.7822953.367144e-07
1.846711.7821533.555083e-07
1.854741.782013.743837e-07
1.862791.7818663.933412e-07
1.870891.7817214.123810e-07
1.879011.7815754.315036e-07
1.887181.7814284.507092e-07
1.895371.781284.699982e-07
1.903611.7811314.893711e-07
1.911881.7809815.088281e-07
1.920181.780835.283696e-07
1.928531.7806785.479960e-07
1.93691.7805255.677077e-07
1.945321.780375.875050e-07
1.953771.7802156.073883e-07
1.962261.7800586.273580e-07
1.970781.77996.474145e-07
1.979341.7797426.675581e-07
1.987941.7795826.877892e-07
1.996581.779427.081081e-07
21.7793567.161600e-07
2.005251.7792587.509250e-07
2.013961.7790948.085955e-07
2.022711.7789298.665164e-07
2.03151.7787639.246890e-07
2.040321.7785969.831143e-07
2.049191.7784271.041793e-06
2.058091.7782571.100727e-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
—