Optical constants

Refractive index of J-LASF09 (HIKARI)

J-LASF09: 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
2.92327e-08
Permittivity ε1
3.29784
Permittivity ε2
1.06173e-07
Absorption coefficient α
0.00625169 cm⁻¹
Penetration depth δ = λ/(2πk)
3.19914e+09 nm
Abbe number Vd
46.59
Chromatic dispersion dn/dλ
-0.0898863 µm⁻¹
Group index ng
1.86881
Group velocity dispersion
164.295 fs²/mm
Dispersion parameter D
-896.318 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-LASF09 (HIKARI): J-LASF09
hikari_j_lasf09 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LASF09", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_lasf09.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_lasf09.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=3.21640776−0.0137992658⁢λ2.0−0.000161434942⁢λ4.0+0.0281939284⁢λ−2.0+0.000509661263⁢λ−4.0+1.00848603×10-5⁢λ−6.0+6.06649264×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C13.21640776
C2-0.0137992658
C32.0
C4-0.000161434942
C54.0
C60.0281939284
C7-2.0
C80.000509661263
C9-4.0
C101.00848603e-05
C11-6.0
C126.06649264e-07
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 2.1218e-06 1.1539e-08 -1.0357e-12 7.1281e-07 8.2085e-10 0.15462
nd
1.816000
Vd
46.589656
glass status
preferred
density
value: 4980
thermal expansion
value: 5.8e-06, temperature range: 243 343
dPgF
-0.0095
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 2.53e-06 K⁻¹ at 633 nm, dn/dT = 1.57e-06 K⁻¹ at 1310 nm, dn/dT = 1.49e-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-LASF09 (HIKARI), J-LASF09: n and k versus wavelength
λ (µm)nk
0.3650151.8603964.377951e-07
0.3666011.8597214.076793e-07
0.3681931.8590543.774327e-07
0.3697931.8583943.470546e-07
0.371.8583093.431200e-07
0.3713991.8577413.267259e-07
0.3730131.8570963.078227e-07
0.3746331.8564582.888375e-07
0.3762611.8558272.697698e-07
0.3778951.8552032.506192e-07
0.3795371.8545852.313855e-07
0.381.8544132.259600e-07
0.3811861.8539752.172687e-07
0.3828421.8533712.051305e-07
0.3845051.8527741.929396e-07
0.3861751.8521841.806957e-07
0.3878531.8515991.683987e-07
0.3895381.8510221.560482e-07
0.391.8508651.526600e-07
0.391231.850451.474263e-07
0.392931.8498841.401945e-07
0.3946371.8493251.329313e-07
0.3963511.8487721.256366e-07
0.3980731.8482241.183102e-07
0.3998021.8476831.109519e-07
0.41.8476211.101100e-07
0.4015391.8471471.073583e-07
0.4032831.8466171.042394e-07
0.4050351.8460921.011069e-07
0.4067951.8455739.796076e-08
0.4085621.845069.480098e-08
0.4103371.8445519.162748e-08
0.412121.8440498.844019e-08
0.413911.8435518.523906e-08
0.4157081.8430598.202401e-08
0.4175141.8425717.879501e-08
0.4193281.8420897.555197e-08
0.421.8419127.435000e-08
0.4211491.8416127.332277e-08
0.4229791.841147.168768e-08
0.4248171.8406727.004549e-08
0.4266621.840216.839616e-08
0.4285161.8397526.673967e-08
0.4303771.8392996.507599e-08
0.4322471.838856.340507e-08
0.4341251.8384066.172690e-08
0.436011.8379666.004144e-08
0.4379051.8375315.834865e-08
0.4398071.8371015.664851e-08
0.441.8370575.647600e-08
0.4417181.8366745.573941e-08
0.4436371.8362525.491648e-08
0.4455641.8358345.408997e-08
0.4474991.8354215.325988e-08
0.4494431.8350115.242617e-08
0.4513961.8346065.158885e-08
0.4533571.8342045.074789e-08
0.4553261.8338074.990327e-08
0.4573041.8334144.905499e-08
0.4592911.8330244.820302e-08
0.461.8328864.789900e-08
0.4612861.8326384.728734e-08
0.463291.8322564.633447e-08
0.4653031.8318784.537746e-08
0.4673241.8315034.441629e-08
0.4693541.8311334.345095e-08
0.4713931.8307654.248141e-08
0.4734411.8304024.150766e-08
0.4754981.8300414.052968e-08
0.4775641.8296853.954745e-08
0.4796381.8293313.856095e-08
0.481.829273.838900e-08
0.4817221.8289823.783537e-08
0.4838151.8286353.716256e-08
0.4859171.8282923.648683e-08
0.4880271.8279523.580816e-08
0.4901481.8276153.512655e-08
0.4922771.8272823.444197e-08
0.4944151.8269523.375443e-08
0.4965631.8266243.306389e-08
0.4987211.82633.237035e-08
0.51.826113.195900e-08
0.5008871.8259793.193746e-08
0.5030631.8256613.188463e-08
0.5052481.8253463.183157e-08
0.5074431.8250343.177827e-08
0.5096481.8247253.172475e-08
0.5118621.8244193.167099e-08
0.5140861.8241163.161700e-08
0.5163191.8238153.156278e-08
0.5185621.8235173.150832e-08
0.5208151.8232223.145362e-08
0.5230771.822933.139869e-08
0.5253491.822643.134351e-08
0.5276321.8223533.128810e-08
0.5299241.8220693.123245e-08
0.5322261.8217873.117655e-08
0.5345381.8215083.112041e-08
0.536861.8212313.106403e-08
0.5391931.8209573.100741e-08
0.5415351.8206853.095053e-08
0.5438871.8204163.089341e-08
0.546251.8201493.083604e-08
0.5486231.8198853.077843e-08
0.551.8197333.074500e-08
0.5510071.8196233.070451e-08
0.55341.8193633.060824e-08
0.5558041.8191063.051155e-08
0.5582191.8188513.041443e-08
0.5606441.8185983.031690e-08
0.563081.8183473.021894e-08
0.5655261.8180993.012056e-08
0.5679821.8178523.002174e-08
0.570451.8176082.992250e-08
0.5729281.8173662.982283e-08
0.5754171.8171272.972273e-08
0.5779171.8168892.962219e-08
0.5804271.8166532.952121e-08
0.5829491.816422.941979e-08
0.5854811.8161882.931794e-08
0.5880251.8159582.921564e-08
0.5905791.8157312.911290e-08
0.5931451.8155052.900971e-08
0.5957221.8152812.890607e-08
0.598311.8150592.880198e-08
0.61.8149162.873400e-08
0.6009091.8148392.887217e-08
0.6035191.8146212.926902e-08
0.6061411.8144052.966759e-08
0.6087741.8141913.006789e-08
0.6114191.8139783.046993e-08
0.6140751.8137673.087372e-08
0.6167431.8135583.127926e-08
0.6194221.8133513.168656e-08
0.6221131.8131453.209564e-08
0.6248161.8129413.250649e-08
0.627531.8127393.291912e-08
0.6302561.8125383.333355e-08
0.6329941.8123393.374978e-08
0.6357441.8121423.416781e-08
0.6385061.8119463.458766e-08
0.641281.8117523.500934e-08
0.6440661.8115593.543285e-08
0.6468641.8113683.585819e-08
0.6496741.8111783.628539e-08
0.651.8111563.633500e-08
0.6524961.810993.703518e-08
0.6553311.8108043.783034e-08
0.6581781.8106193.862895e-08
0.6610371.8104353.943104e-08
0.6639081.8102534.023661e-08
0.6667931.8100724.104567e-08
0.6696891.8098934.185826e-08
0.6725991.8097154.267437e-08
0.6755211.8095384.349403e-08
0.6784551.8093634.431725e-08
0.6814031.8091894.514405e-08
0.6843631.8090174.597443e-08
0.6873361.8088464.680843e-08
0.6903221.8086764.764605e-08
0.6933211.8085074.848730e-08
0.6963331.808344.933221e-08
0.6993581.8081745.018080e-08
0.71.8081395.036100e-08
0.7023961.8080095.176969e-08
0.7054471.8078455.356387e-08
0.7085121.8076835.536584e-08
0.711591.8075215.717564e-08
0.7146811.8073615.899330e-08
0.7177861.8072026.081886e-08
0.7209041.8070456.265234e-08
0.7240361.8068886.449380e-08
0.7271811.8067326.634325e-08
0.730341.8065786.820074e-08
0.7335131.8064257.006629e-08
0.73671.8062727.193995e-08
0.73991.8061217.382175e-08
0.7431141.8059717.571173e-08
0.7463421.8058227.760991e-08
0.7495851.8056747.951635e-08
0.7528411.8055278.143106e-08
0.7561121.8053818.335409e-08
0.7593961.8052368.528548e-08
0.7626951.8050928.722526e-08
0.7660091.8049498.917346e-08
0.7693361.8048079.113013e-08
0.7726791.8046659.309529e-08
0.7760351.8045259.506900e-08
0.7794071.8043869.705127e-08
0.7827931.8042479.904216e-08
0.7861931.804111.010417e-07
0.7896091.8039731.030499e-07
0.7930391.8038371.050669e-07
0.7964841.8037021.070926e-07
0.7999441.8035681.091271e-07
0.81.8035661.091600e-07
0.8034191.8034353.121006e-07
0.8069091.8033025.192583e-07
0.8104151.803177.273159e-07
0.8139351.803049.362774e-07
0.8174711.8029091.146147e-06
0.8210231.802781.356928e-06
0.8245891.8026521.568624e-06
0.8281721.8025241.781241e-06
0.8317691.8023971.994780e-06
0.8353831.802272.209248e-06
0.8390121.8021452.424647e-06
0.8426571.802022.640982e-06
0.8463171.8018962.858257e-06
0.8499941.8017723.076476e-06
0.8536871.8016493.295643e-06
0.8573951.8015273.515762e-06
0.861121.8014053.736837e-06
0.8648611.8012853.958872e-06
0.8686181.8011644.181873e-06
0.8723911.8010454.405841e-06
0.8761811.8009264.630783e-06
0.8799881.8008074.856702e-06
0.8838111.8006895.083603e-06
0.887651.8005725.311489e-06
0.8915061.8004565.540365e-06
0.8953791.800345.770236e-06
0.8992691.8002246.001105e-06
0.91.8002026.044500e-06
0.9031751.8001096.090500e-06
0.9070991.7999956.147338e-06
0.911041.7998816.204422e-06
0.9149981.7997676.261754e-06
0.9189721.7996556.319335e-06
0.9229651.7995426.377167e-06
0.9269741.799436.435250e-06
0.9310011.7993196.493585e-06
0.9350461.7992086.552173e-06
0.9391081.7990986.611016e-06
0.9431881.7989886.670115e-06
0.9472851.7988786.729470e-06
0.95141.7987696.789083e-06
0.9555331.798666.848955e-06
0.9596841.7985526.909088e-06
0.9638531.7984446.969481e-06
0.9680411.7983377.030137e-06
0.9722461.7982297.091056e-06
0.976471.7981237.152240e-06
0.9807121.7980167.213690e-06
0.9849721.7979117.275407e-06
0.9892511.7978057.337392e-06
0.9935491.79777.399646e-06
0.9978651.7975957.462170e-06
11.7975437.493100e-06
1.00221.797497.411103e-06
1.006551.7973867.248820e-06
1.010931.7972827.085831e-06
1.015321.7971786.922134e-06
1.019731.7970756.757726e-06
1.024161.7969726.592604e-06
1.028611.7968696.426764e-06
1.033081.7967676.260205e-06
1.037561.7966646.092921e-06
1.042071.7965625.924911e-06
1.04661.7964615.756171e-06
1.051151.7963595.586697e-06
1.055711.7962585.416488e-06
1.06031.7961575.245539e-06
1.06491.7960565.073848e-06
1.069531.7959554.901410e-06
1.074181.7958554.728224e-06
1.078841.7957554.554285e-06
1.083531.7956554.379591e-06
1.088241.7955554.204137e-06
1.092961.7954554.027922e-06
1.097711.7953553.850941e-06
1.102481.7952563.673191e-06
1.107271.7951573.494669e-06
1.112081.7950573.315371e-06
1.116911.7949583.135294e-06
1.121761.7948592.954436e-06
1.126641.7947612.772791e-06
1.131531.7946622.590357e-06
1.136451.7945632.407131e-06
1.141381.7944652.223109e-06
1.146341.7943662.038287e-06
1.151321.7942681.852663e-06
1.156321.7941691.666232e-06
1.161351.7940711.478991e-06
1.166391.7939731.290937e-06
1.171461.7938751.102066e-06
1.176551.7937769.123739e-07
1.181661.7936787.218582e-07
1.186791.793585.305147e-07
1.191951.7934823.383401e-07
1.197131.7933841.453306e-07
1.21.7933293.827400e-08
1.202331.7932863.847856e-08
1.207551.7931873.893741e-08
1.21281.7930893.939826e-08
1.218071.7929913.986112e-08
1.223361.7928924.032598e-08
1.228671.7927944.079286e-08
1.234011.7926964.126178e-08
1.239371.7925974.173273e-08
1.244751.7924994.220572e-08
1.250161.79244.268077e-08
1.255591.7923014.315788e-08
1.261051.7922024.363707e-08
1.266531.7921034.411834e-08
1.272031.7920044.460169e-08
1.277551.7919054.508715e-08
1.28311.7918064.557472e-08
1.288681.7917064.606440e-08
1.294281.7916064.655622e-08
1.29991.7915074.705017e-08
1.305551.7914074.754626e-08
1.311221.7913064.804451e-08
1.316911.7912064.854493e-08
1.322641.7911064.904751e-08
1.328381.7910054.955229e-08
1.334151.7909045.005925e-08
1.339951.7908035.056842e-08
1.345771.7907015.107980e-08
1.351621.79065.159340e-08
1.357491.7904985.210923e-08
1.363381.7903965.262730e-08
1.369311.7902935.314762e-08
1.375261.7901915.367021e-08
1.381231.7900885.419506e-08
1.387231.7899845.472220e-08
1.393261.7898815.525162e-08
1.399311.7897775.578334e-08
1.41.7897655.584400e-08
1.405391.7896735.778698e-08
1.411491.7895695.998844e-08
1.417631.7894646.219947e-08
1.423781.7893596.442010e-08
1.429971.7892536.665038e-08
1.436181.7891476.889034e-08
1.442421.7890417.114004e-08
1.448691.7889357.339951e-08
1.454981.7888287.566880e-08
1.46131.788727.794794e-08
1.467651.7886138.023699e-08
1.474031.7885058.253598e-08
1.480431.7883968.484496e-08
1.486861.7882878.716397e-08
1.493321.7881788.949305e-08
1.499811.7880689.183225e-08
1.506321.7879579.418161e-08
1.512871.7878479.654118e-08
1.519441.7877359.891100e-08
1.526041.7876241.012911e-07
1.532671.7875111.036816e-07
1.539331.7873991.060824e-07
1.546011.7872851.084937e-07
1.552731.7871721.109154e-07
1.559481.7870571.133477e-07
1.566251.7869421.157905e-07
1.573051.7868271.182440e-07
1.579891.7867111.207081e-07
1.586751.7865941.231829e-07
1.593641.7864771.256684e-07
1.61.7863691.279600e-07
1.600571.786361.283769e-07
1.607521.7862411.334809e-07
1.61451.7861221.386071e-07
1.621521.7860031.437556e-07
1.628561.7858831.489264e-07
1.635641.7857621.541197e-07
1.642741.785641.593356e-07
1.649881.7855181.645741e-07
1.657051.7853951.698354e-07
1.664251.7852721.751195e-07
1.671481.7851481.804266e-07
1.678741.7850231.857567e-07
1.686031.7848971.911100e-07
1.693351.7847711.964866e-07
1.700711.7846442.018865e-07
1.70811.7845162.073099e-07
1.715521.7843872.127568e-07
1.722971.7842582.182274e-07
1.730461.7841282.237217e-07
1.737971.7839972.292400e-07
1.745521.7838652.347822e-07
1.753111.7837322.403484e-07
1.760721.7835992.459389e-07
1.768371.7834642.515537e-07
1.776051.7833292.571928e-07
1.783771.7831932.628564e-07
1.791521.7830562.685447e-07
1.79931.7829182.742576e-07
1.81.7829062.747700e-07
1.807121.782782.869360e-07
1.814971.782643.003529e-07
1.822851.78253.138282e-07
1.830771.7823583.273620e-07
1.838731.7822163.409546e-07
1.846711.7820723.546062e-07
1.854741.7819283.683172e-07
1.862791.7817823.820877e-07
1.870891.7816363.959180e-07
1.879011.7814884.098085e-07
1.887181.781344.237592e-07
1.895371.781194.377706e-07
1.903611.781044.518428e-07
1.911881.7808884.659762e-07
1.920181.7807354.801710e-07
1.928531.7805814.944274e-07
1.93691.7804265.087458e-07
1.945321.780275.231263e-07
1.953771.7801135.375694e-07
1.962261.7799545.520752e-07
1.970781.7797955.666440e-07
1.979341.7796345.812761e-07
1.987941.7794725.959717e-07
1.996581.7793096.107312e-07
21.7792446.165800e-07
2.005251.7791446.432390e-07
2.013961.7789786.874627e-07
2.022711.7788117.318785e-07
2.03151.7786437.764873e-07
2.040321.7784738.212898e-07
2.049191.7783028.662870e-07
2.058091.778139.114797e-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
—