Optical constants

Refractive index of J-LASF015 (HIKARI)

J-LASF015: 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
1.804
Extinction coefficient k
3.17544e-08
Permittivity ε1
3.2544
Permittivity ε2
1.14570e-07
Absorption coefficient α
0.00679097 cm⁻¹
Penetration depth δ = λ/(2πk)
2.94509e+09 nm
Abbe number Vd
46.598
Chromatic dispersion dn/dλ
-0.0885181 µm⁻¹
Group index ng
1.85601
Group velocity dispersion
162.107 fs²/mm
Dispersion parameter D
-884.378 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-LASF015 (HIKARI): J-LASF015
hikari_j_lasf015 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LASF015", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_lasf015.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_lasf015.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=3.17452404−0.0132156517⁢λ2.0−0.000165919934⁢λ4.0+0.0276472367⁢λ−2.0+0.000483338934⁢λ−4.0+1.20380702×10-5⁢λ−6.0+6.02649728×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C13.17452404
C2-0.0132156517
C32.0
C4-0.000165919934
C54.0
C60.0276472367
C7-2.0
C80.000483338934
C9-4.0
C101.20380702e-05
C11-6.0
C126.02649728e-07
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 2.0255e-06 9.8941e-09 -1.9071e-12 6.6916e-07 6.0558e-10 0.18663
nd
1.804000
Vd
46.597670
density
value: 4570
thermal expansion
value: 6e-06, temperature range: 243 343
dPgF
-0.0087
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 2.40e-06 K⁻¹ at 633 nm, dn/dT = 1.48e-06 K⁻¹ at 1310 nm, dn/dT = 1.40e-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-LASF015 (HIKARI), J-LASF015: n and k versus wavelength
λ (µm)nk
0.3650151.8478353.710581e-07
0.3666011.8471673.454837e-07
0.3681931.8465063.197983e-07
0.3697931.8458522.940013e-07
0.371.8457682.906600e-07
0.3713991.8452062.761703e-07
0.3730131.8445672.594631e-07
0.3746331.8439362.426833e-07
0.3762611.8433112.258306e-07
0.3778951.8426932.089047e-07
0.3795371.8420831.919052e-07
0.381.8419121.871100e-07
0.3811861.8414781.799459e-07
0.3828421.8408811.699406e-07
0.3845051.840291.598918e-07
0.3861751.8397061.497994e-07
0.3878531.8391281.396631e-07
0.3895381.8385571.294828e-07
0.391.8384011.266900e-07
0.391231.8379911.226291e-07
0.392931.8374321.170179e-07
0.3946371.8368791.113823e-07
0.3963511.8363321.057222e-07
0.3980731.8357911.000376e-07
0.3998021.8352559.432823e-08
0.41.8351959.367500e-08
0.4015391.8347269.140032e-08
0.4032831.8342028.882204e-08
0.4050351.8336838.623256e-08
0.4067951.833178.363183e-08
0.4085621.8326638.101980e-08
0.4103371.8321617.839643e-08
0.412121.8316647.576165e-08
0.413911.8311727.311544e-08
0.4157081.8306867.045772e-08
0.4175141.8302056.778846e-08
0.4193281.8297286.510761e-08
0.421.8295546.411400e-08
0.4211491.8292576.347061e-08
0.4229791.8287916.244651e-08
0.4248171.8283296.141796e-08
0.4266621.8278726.038494e-08
0.4285161.827425.934743e-08
0.4303771.8269725.830542e-08
0.4322471.826535.725888e-08
0.4341251.8260915.620779e-08
0.436011.8256575.515213e-08
0.4379051.8252285.409189e-08
0.4398071.8248035.302705e-08
0.441.824765.291900e-08
0.4417181.8243825.185152e-08
0.4436371.8239655.065890e-08
0.4455641.8235534.946111e-08
0.4474991.8231454.825811e-08
0.4494431.8227414.704989e-08
0.4513961.8223414.583642e-08
0.4533571.8219454.461768e-08
0.4553261.8215524.339364e-08
0.4573041.8211644.216429e-08
0.4592911.820784.092959e-08
0.461.8206444.048900e-08
0.4612861.8203994.010592e-08
0.463291.8200223.950915e-08
0.4653031.8196493.890979e-08
0.4673241.819283.830782e-08
0.4693541.8189143.770324e-08
0.4713931.8185523.709603e-08
0.4734411.8181933.648618e-08
0.4754981.8178383.587368e-08
0.4775641.8174863.525852e-08
0.4796381.8171383.464069e-08
0.481.8170773.453300e-08
0.4817221.8167933.396619e-08
0.4838151.8164513.327738e-08
0.4859171.8161133.258557e-08
0.4880271.8157773.189075e-08
0.4901481.8154453.119292e-08
0.4922771.8151173.049206e-08
0.4944151.8147912.978815e-08
0.4965631.8144692.908118e-08
0.4987211.8141492.837114e-08
0.51.8139622.795000e-08
0.5008871.8138332.792144e-08
0.5030631.8135192.785137e-08
0.5052481.8132092.778100e-08
0.5074431.8129012.771032e-08
0.5096481.8125962.763934e-08
0.5118621.8122942.756805e-08
0.5140861.8119952.749645e-08
0.5163191.8116992.742453e-08
0.5185621.8114062.735231e-08
0.5208151.8111152.727977e-08
0.5230771.8108272.720692e-08
0.5253491.8105412.713375e-08
0.5276321.8102592.706026e-08
0.5299241.8099782.698645e-08
0.5322261.8097012.691232e-08
0.5345381.8094262.683787e-08
0.536861.8091532.676310e-08
0.5391931.8088832.668800e-08
0.5415351.8086152.661258e-08
0.5438871.808352.653682e-08
0.546251.8080872.646074e-08
0.5486231.8078262.638433e-08
0.551.8076772.634000e-08
0.5510071.8075682.648495e-08
0.55341.8073122.682965e-08
0.5558041.8070592.717584e-08
0.5582191.8068082.752353e-08
0.5606441.8065592.787274e-08
0.563081.8063122.822346e-08
0.5655261.8060672.857570e-08
0.5679821.8058242.892948e-08
0.570451.8055842.928479e-08
0.5729281.8053462.964165e-08
0.5754171.805113.000006e-08
0.5779171.8048753.036002e-08
0.5804271.8046433.072155e-08
0.5829491.8044133.108464e-08
0.5854811.8041853.144932e-08
0.5880251.8039593.181558e-08
0.5905791.8037353.218343e-08
0.5931451.8035133.255288e-08
0.5957221.8032923.292393e-08
0.598311.8030743.329660e-08
0.61.8029333.354000e-08
0.6009091.8028573.368555e-08
0.6035191.8026423.410359e-08
0.6061411.802433.452345e-08
0.6087741.8022183.494514e-08
0.6114191.8020093.536865e-08
0.6140751.8018013.579401e-08
0.6167431.8015953.622121e-08
0.6194221.8013913.665027e-08
0.6221131.8011893.708119e-08
0.6248161.8009883.751399e-08
0.627531.8007893.794866e-08
0.6302561.8005913.838523e-08
0.6329941.8003953.882369e-08
0.6357441.8002013.926405e-08
0.6385061.8000083.970633e-08
0.641281.7998174.015053e-08
0.6440661.7996284.059666e-08
0.6468641.799444.104473e-08
0.6496741.7992534.149474e-08
0.651.7992324.154700e-08
0.6524961.7990684.198699e-08
0.6553311.7988844.248668e-08
0.6581781.7987024.298853e-08
0.6610371.7985224.349256e-08
0.6639081.7983424.399879e-08
0.6667931.7981654.450721e-08
0.6696891.7979884.501784e-08
0.6725991.7978134.553069e-08
0.6755211.7976394.604577e-08
0.6784551.7974674.656308e-08
0.6814031.7972964.708264e-08
0.6843631.7971264.760446e-08
0.6873361.7969584.812855e-08
0.6903221.796794.865491e-08
0.6933211.7966254.918356e-08
0.6963331.796464.971451e-08
0.6993581.7962965.024776e-08
0.71.7962625.036100e-08
0.7023961.7961345.130484e-08
0.7054471.7959735.250696e-08
0.7085121.7958145.371430e-08
0.711591.7956555.492689e-08
0.7146811.7954975.614474e-08
0.7177861.7953415.736788e-08
0.7209041.7951865.859634e-08
0.7240361.7950325.983014e-08
0.7271811.7948796.106929e-08
0.730341.7947276.231383e-08
0.7335131.7945766.356377e-08
0.73671.7944276.481914e-08
0.73991.7942786.607997e-08
0.7431141.794136.734628e-08
0.7463421.7939846.861808e-08
0.7495851.7938386.989541e-08
0.7528411.7936947.117829e-08
0.7561121.793557.246675e-08
0.7593961.7934087.376080e-08
0.7626951.7932667.506047e-08
0.7660091.7931257.636579e-08
0.7693361.7929867.767678e-08
0.7726791.7928477.899346e-08
0.7760351.7927098.031587e-08
0.7794071.7925728.164402e-08
0.7827931.7924368.297793e-08
0.7861931.7923018.431765e-08
0.7896091.7921668.566318e-08
0.7930391.7920338.701456e-08
0.7964841.79198.837181e-08
0.7999441.7917688.973496e-08
0.81.7917668.975700e-08
0.8034191.7916378.791553e-08
0.8069091.7915078.603579e-08
0.8104151.7913788.414788e-08
0.8139351.7912498.225178e-08
0.8174711.7911218.034743e-08
0.8210231.7909947.843481e-08
0.8245891.7908687.651389e-08
0.8281721.7907437.458462e-08
0.8317691.7906187.264697e-08
0.8353831.7904947.070090e-08
0.8390121.790376.874637e-08
0.8426571.7902486.678336e-08
0.8463171.7901266.481182e-08
0.8499941.7900046.283171e-08
0.8536871.7898846.084300e-08
0.8573951.7897645.884565e-08
0.861121.7896455.683963e-08
0.8648611.7895265.482489e-08
0.8686181.7894085.280140e-08
0.8723911.789295.076911e-08
0.8761811.7891744.872800e-08
0.8799881.7890584.667802e-08
0.8838111.7889424.461914e-08
0.887651.7888274.255131e-08
0.8915061.7887124.047450e-08
0.8953791.7885993.838866e-08
0.8992691.7884853.629377e-08
0.91.7884643.590000e-08
0.9031751.7883723.602667e-08
0.9070991.788263.618318e-08
0.911041.7881483.634038e-08
0.9149981.7880373.649825e-08
0.9189721.7879273.665681e-08
0.9229651.7878163.681606e-08
0.9269741.7877073.697600e-08
0.9310011.7875973.713664e-08
0.9350461.7874893.729798e-08
0.9391081.787383.746001e-08
0.9431881.7872733.762275e-08
0.9472851.7871653.778620e-08
0.95141.7870583.795035e-08
0.9555331.7869523.811522e-08
0.9596841.7868453.828081e-08
0.9638531.786743.844711e-08
0.9680411.7866343.861414e-08
0.9722461.786533.878190e-08
0.976471.7864253.895038e-08
0.9807121.7863213.911959e-08
0.9849721.7862173.928954e-08
0.9892511.7861143.946023e-08
0.9935491.786013.963166e-08
0.9978651.7859083.980383e-08
11.7858573.988900e-08
1.00221.7858053.966054e-08
1.006551.7857033.920837e-08
1.010931.7856013.875425e-08
1.015321.78553.829815e-08
1.019731.7853993.784007e-08
1.024161.7852983.737999e-08
1.028611.7851973.691792e-08
1.033081.7850973.645385e-08
1.037561.7849973.598775e-08
1.042071.7848973.551963e-08
1.04661.7847973.504948e-08
1.051151.7846983.457729e-08
1.055711.7845993.410304e-08
1.06031.78453.362674e-08
1.06491.7844013.314836e-08
1.069531.7843033.266791e-08
1.074181.7842053.218537e-08
1.078841.7841073.170073e-08
1.083531.7840093.121399e-08
1.088241.7839113.072513e-08
1.092961.7838133.023415e-08
1.097711.7837162.974104e-08
1.102481.7836192.924578e-08
1.107271.7835222.874838e-08
1.112081.7834252.824881e-08
1.116911.7833282.774707e-08
1.121761.7832312.724315e-08
1.126641.7831352.673704e-08
1.131531.7830382.622874e-08
1.136451.7829422.571823e-08
1.141381.7828462.520549e-08
1.146341.7827492.469053e-08
1.151321.7826532.417334e-08
1.156321.7825572.365390e-08
1.161351.7824612.313220e-08
1.166391.7823652.260823e-08
1.171461.7822692.208199e-08
1.176551.7821732.155346e-08
1.181661.7820772.102264e-08
1.186791.7819822.048951e-08
1.191951.7818861.995406e-08
1.197131.781791.941629e-08
1.21.7817371.911800e-08
1.202331.7816941.928513e-08
1.207551.7815981.966002e-08
1.21281.7815022.003654e-08
1.218071.7814062.041470e-08
1.223361.781312.079451e-08
1.228671.7812142.117596e-08
1.234011.7811182.155907e-08
1.239371.7810222.194384e-08
1.244751.7809262.233028e-08
1.250161.780832.271841e-08
1.255591.7807332.310822e-08
1.261051.7806372.349972e-08
1.266531.780542.389293e-08
1.272031.7804442.428784e-08
1.277551.7803472.468447e-08
1.28311.780252.508282e-08
1.288681.7801532.548290e-08
1.294281.7800562.588472e-08
1.29991.7799592.628828e-08
1.305551.7798612.669360e-08
1.311221.7797642.710068e-08
1.316911.7796662.750953e-08
1.322641.7795682.792015e-08
1.328381.779472.833256e-08
1.334151.7793712.874676e-08
1.339951.7792732.916276e-08
1.345771.7791742.958056e-08
1.351621.7790753.000018e-08
1.357491.7789763.042163e-08
1.363381.7788763.084490e-08
1.369311.7787773.127001e-08
1.375261.7786773.169697e-08
1.381231.7785763.212579e-08
1.387231.7784763.255647e-08
1.393261.7783753.298902e-08
1.399311.7782743.342344e-08
1.41.7782623.347300e-08
1.405391.7781733.498089e-08
1.411491.7780713.668937e-08
1.417631.7779693.840528e-08
1.423781.7778674.012864e-08
1.429971.7777644.185949e-08
1.436181.7776614.359786e-08
1.442421.7775584.534378e-08
1.448691.7774544.709729e-08
1.454981.777354.885841e-08
1.46131.7772455.062719e-08
1.467651.7771415.240365e-08
1.474031.7770355.418782e-08
1.480431.776935.597975e-08
1.486861.7768245.777946e-08
1.493321.7767175.958699e-08
1.499811.776616.140237e-08
1.506321.7765036.322564e-08
1.512871.7763956.505682e-08
1.519441.7762876.689597e-08
1.526041.7761786.874310e-08
1.532671.7760697.059826e-08
1.539331.775967.246148e-08
1.546011.7758497.433279e-08
1.552731.7757397.621223e-08
1.559481.7756287.809983e-08
1.566251.7755167.999564e-08
1.573051.7754048.189968e-08
1.579891.7752918.381199e-08
1.586751.7751788.573261e-08
1.593641.7750648.766158e-08
1.61.7749598.944000e-08
1.600571.7749498.975948e-08
1.607521.7748349.367103e-08
1.61451.7747199.759957e-08
1.621521.7746031.015452e-07
1.628561.7744861.055079e-07
1.635641.7743681.094879e-07
1.642741.774251.134851e-07
1.649881.7741321.174997e-07
1.657051.7740121.215318e-07
1.664251.7738921.255814e-07
1.671481.7737711.296485e-07
1.678741.773651.337334e-07
1.686031.7735281.378360e-07
1.693351.7734051.419564e-07
1.700711.7732821.460947e-07
1.70811.7731571.502509e-07
1.715521.7730321.544253e-07
1.722971.7729071.586177e-07
1.730461.772781.628284e-07
1.737971.7726531.670574e-07
1.745521.7725251.713047e-07
1.753111.7723961.755705e-07
1.760721.7722661.798549e-07
1.768371.7721361.841578e-07
1.776051.7720041.884794e-07
1.783771.7718721.928199e-07
1.791521.7717391.971791e-07
1.79931.7716052.015573e-07
1.81.7715932.019500e-07
1.807121.7714712.126008e-07
1.814971.7713352.243468e-07
1.822851.7711982.361438e-07
1.830771.7710612.479920e-07
1.838731.7709232.598918e-07
1.846711.7707832.718432e-07
1.854741.7706432.838466e-07
1.862791.7705022.959021e-07
1.870891.7703593.080099e-07
1.879011.7702163.201704e-07
1.887181.7700723.323837e-07
1.895371.7699273.446500e-07
1.903611.769783.569697e-07
1.911881.7696333.693428e-07
1.920181.7694843.817697e-07
1.928531.7693353.942506e-07
1.93691.7691844.067858e-07
1.945321.7690334.193753e-07
1.953771.768884.320196e-07
1.962261.7687264.447188e-07
1.970781.7685714.574731e-07
1.979341.7684144.702829e-07
1.987941.7682574.831483e-07
1.996581.7680984.960696e-07
21.7680355.011900e-07
2.005251.7679385.248634e-07
2.013961.7677775.641343e-07
2.022711.7676156.035758e-07
2.03151.7674526.431886e-07
2.040321.7672876.829735e-07
2.049191.7671217.229313e-07
2.058091.7669537.630626e-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
—