Optical constants

Refractive index of S-LAL9 (OHARA)

S-LAL9: n,k 0.29–2.4 µm

Data
formula 2 + tabulated k
Range
0.29–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.29–2.4 µm
Refractive index n
1.691
Extinction coefficient k
1.76522e-08
Permittivity ε1
2.85948
Permittivity ε2
5.96998e-08
Absorption coefficient α
0.00377509 cm⁻¹
Penetration depth δ = λ/(2πk)
5.29788e+09 nm
Abbe number Vd
54.823
Chromatic dispersion dn/dλ
-0.0650643 µm⁻¹
Group index ng
1.72923
Group velocity dispersion
114.045 fs²/mm
Dispersion parameter D
-622.176 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

# S-LAL9 (OHARA): S-LAL9
ohara_s_lal9 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAL9", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lal9.range_nm)  # (290, 2400) nm
eps = ohara_s_lal9.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

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=1.16195687λ2λ2−0.0159659509+0.644860099λ2λ2−0.000505502467+1.25062221λ2λ2−93.8284169

Valid from 0.29 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.16195687
C30.0159659509
C40.644860099
C50.000505502467
C61.25062221
C793.8284169

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 3.38e-06 1.14e-08 -3.54e-11 3.51e-07 3.25e-10 0.264
nd
1.691002
Vd
54.822578
glass code
691548
density
value: 3630
thermal expansion
value: 6.1e-06, temperature range: 243 343; value: 7.4e-06, temperature range: 293 573
dPgF
-0.0079
resistance
acid: 52.0; climatic: 2.0; phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.43e-06 K⁻¹ at 633 nm, dn/dT = 1.93e-06 K⁻¹ at 1310 nm, dn/dT = 1.89e-06 K⁻¹ at 1550 nm

References

Cite

OHARA Zemax catalog 2017-11-30 (obtained from http://www.ohara-inc.co.jp); See also OHARA 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 429 wavelengths, the same grid as the API and the library
S-LAL9 (OHARA), S-LAL9: n and k versus wavelength
λ (µm)nk
0.291.7555281.062800e-05
0.291541.7545061.017467e-05
0.2930881.7534999.718942e-06
0.2946451.7525079.260789e-06
0.296211.751538.800204e-06
0.2977831.7505678.337172e-06
0.2993641.7496177.871681e-06
0.31.7492417.684500e-06
0.3009541.7486817.470882e-06
0.3025521.7477597.112968e-06
0.3041591.746856.753152e-06
0.3057741.7459546.391426e-06
0.3073981.745076.027779e-06
0.3090311.7441995.662200e-06
0.311.743695.445100e-06
0.3106721.743345.338341e-06
0.3123221.7424935.076111e-06
0.313981.7416594.812488e-06
0.3156481.7408354.547465e-06
0.3173241.7400244.281035e-06
0.3190091.7392234.013190e-06
0.321.7387593.855700e-06
0.3207031.7384343.763234e-06
0.3224061.7376553.539305e-06
0.3241191.7368873.314186e-06
0.325841.736133.087872e-06
0.327571.7353822.860356e-06
0.329311.7346452.631632e-06
0.331.7343572.540900e-06
0.3310591.7339182.443133e-06
0.3328171.7332012.280787e-06
0.3345841.7324942.117578e-06
0.3363611.7317961.953503e-06
0.3381481.7311071.788556e-06
0.3399431.7304271.622734e-06
0.341.7304061.617500e-06
0.3417491.7297571.508371e-06
0.3435641.7290951.395106e-06
0.3453881.7284421.281240e-06
0.3472221.7277981.166769e-06
0.3490661.7271621.051690e-06
0.351.7268459.934200e-07
0.350921.7265359.543259e-07
0.3527841.7259168.751410e-07
0.3546571.7253047.955355e-07
0.3565411.7247017.155073e-07
0.3584341.7241066.350540e-07
0.361.7236215.685200e-07
0.3603381.7235185.609095e-07
0.3622511.7229385.177763e-07
0.3641751.7223654.744141e-07
0.3661091.72184.308216e-07
0.3680531.7212423.869976e-07
0.371.7206933.431200e-07
0.3700081.720693.430062e-07
0.3719731.7201463.148834e-07
0.3739481.7196092.866112e-07
0.3759341.7190792.581889e-07
0.3779311.7185552.296156e-07
0.3799381.7180382.008906e-07
0.381.7180222.000000e-07
0.3819551.7175281.856643e-07
0.3839841.7170231.707939e-07
0.3860231.7165251.558445e-07
0.3880731.7160341.408157e-07
0.391.7155791.266900e-07
0.3901341.7155481.261595e-07
0.3922061.7150681.179622e-07
0.3942891.7145951.097213e-07
0.3963831.7141271.014367e-07
0.3984881.7136659.310803e-08
0.41.7133388.712500e-08
0.4006041.7132088.601930e-08
0.4027311.7127578.212486e-08
0.404871.7123127.820974e-08
0.407021.7118727.427383e-08
0.4091821.7114377.031702e-08
0.4113551.7110086.633919e-08
0.413541.7105846.234024e-08
0.4157361.7101645.832005e-08
0.4179441.709755.427852e-08
0.421.7093715.051400e-08
0.4201631.7093415.044680e-08
0.4223941.7089374.952715e-08
0.4246381.7085384.860262e-08
0.4268931.7081434.767318e-08
0.429161.7077534.673880e-08
0.4314391.7073674.579946e-08
0.433731.7069874.485514e-08
0.4360331.706614.390580e-08
0.4383491.7062384.295141e-08
0.441.7059774.227100e-08
0.4406771.7058714.183536e-08
0.4430171.7055074.032951e-08
0.445371.7051483.881566e-08
0.4477351.7047933.729376e-08
0.4501131.7044433.576379e-08
0.4525031.7040963.422569e-08
0.4549061.7037533.267943e-08
0.4573221.7034143.112495e-08
0.4597511.7030792.956221e-08
0.461.7030452.940200e-08
0.4621931.7027482.869873e-08
0.4646471.7024212.791143e-08
0.4671151.7020972.711996e-08
0.4695951.7017772.632428e-08
0.4720891.7014612.552437e-08
0.4745961.7011482.472022e-08
0.4771171.7008392.391180e-08
0.4796511.7005332.309908e-08
0.481.7004912.298700e-08
0.4821981.7002312.265260e-08
0.4847591.6999322.226298e-08
0.4873331.6996362.187129e-08
0.4899211.6993442.147751e-08
0.4925231.6990552.108165e-08
0.4951381.6987692.068368e-08
0.4977681.6984862.028360e-08
0.51.698251.994400e-08
0.5004111.6982061.988809e-08
0.5030691.697931.952699e-08
0.5057411.6976561.916397e-08
0.5084261.6973861.879902e-08
0.5111261.6971181.843214e-08
0.5138411.6968531.806330e-08
0.516571.6965911.769251e-08
0.5193131.6963321.731975e-08
0.5220711.6960761.694500e-08
0.5248431.6958221.656827e-08
0.5276311.6955711.618954e-08
0.5304331.6953231.580879e-08
0.533251.6950771.542603e-08
0.5360821.6948341.504123e-08
0.5389291.6945941.465439e-08
0.5417911.6943561.426549e-08
0.5446681.694121.387453e-08
0.547561.6938871.348149e-08
0.551.6936931.315000e-08
0.5504681.6936561.320608e-08
0.5533921.6934281.355612e-08
0.5563311.6932021.390802e-08
0.5592851.6929791.426179e-08
0.5622551.6927571.461744e-08
0.5652411.6925381.497497e-08
0.5682431.6923211.533441e-08
0.5712611.6921071.569575e-08
0.5742941.6918941.605902e-08
0.5773441.6916841.642421e-08
0.580411.6914761.679134e-08
0.5834931.6912691.716042e-08
0.5865911.6910651.753146e-08
0.5897071.6908631.790447e-08
0.5928381.6906631.827947e-08
0.5959871.6904651.865645e-08
0.5991521.6902681.903544e-08
0.61.6902161.913700e-08
0.6023341.6900741.896916e-08
0.6055321.6898811.873910e-08
0.6087481.6896911.850783e-08
0.6119811.6895021.827532e-08
0.6152311.6893151.804158e-08
0.6184981.689131.780659e-08
0.6217831.6889461.757036e-08
0.6250851.6887641.733288e-08
0.6284051.6885841.709413e-08
0.6317421.6884061.685412e-08
0.6350971.6882291.661283e-08
0.638471.6880541.637026e-08
0.641861.687881.612640e-08
0.6452691.6877081.588125e-08
0.6486961.6875381.563479e-08
0.651.6874731.554100e-08
0.6521411.6873691.535307e-08
0.6556041.6872011.504907e-08
0.6590861.6870351.474344e-08
0.6625861.6868711.443620e-08
0.6661051.6867081.412732e-08
0.6696421.6865461.381680e-08
0.6731981.6863861.350464e-08
0.6767741.6862271.319081e-08
0.6803681.6860691.287532e-08
0.6839811.6859131.255816e-08
0.6876131.6857581.223931e-08
0.6912651.6856051.191876e-08
0.6949361.6854531.159652e-08
0.6986271.6853011.127256e-08
0.71.6852461.115200e-08
0.7023371.6851521.118922e-08
0.7060671.6850031.124864e-08
0.7098161.6848561.130837e-08
0.7135861.6847091.136842e-08
0.7173751.6845641.142879e-08
0.7211851.684421.148948e-08
0.7250151.6842781.155049e-08
0.7288651.6841361.161183e-08
0.7327361.6839951.167349e-08
0.7366281.6838561.173548e-08
0.740541.6837171.179779e-08
0.7444721.6835791.186044e-08
0.7484261.6834431.192342e-08
0.7524011.6833071.198674e-08
0.7563961.6831731.205039e-08
0.7604131.6830391.211438e-08
0.7644511.6829071.217871e-08
0.7685111.6827751.224338e-08
0.7725931.6826441.230840e-08
0.7766951.6825141.237376e-08
0.780821.6823851.243947e-08
0.7849671.6822571.250552e-08
0.7891361.682131.257193e-08
0.7933261.6820031.263869e-08
0.797541.6818771.270580e-08
0.81.6818051.274500e-08
0.8017751.6817521.290072e-08
0.8060331.6816281.327427e-08
0.8103131.6815051.364980e-08
0.8146171.6813821.402733e-08
0.8189431.681261.440686e-08
0.8232921.6811391.478841e-08
0.8276641.6810191.517198e-08
0.832061.6808991.555760e-08
0.8364781.680781.594526e-08
0.8409211.6806611.633497e-08
0.8453871.6805431.672676e-08
0.8498761.6804261.712063e-08
0.8543891.680311.751659e-08
0.8589271.6801941.791465e-08
0.8634881.6800781.831483e-08
0.8680741.6799631.871713e-08
0.8726841.6798491.912157e-08
0.8773191.6797351.952816e-08
0.8819781.6796221.993690e-08
0.8866621.6795092.034782e-08
0.891371.6793972.076092e-08
0.8961041.6792852.117621e-08
0.91.6791942.151800e-08
0.9008631.6791742.160755e-08
0.9056471.6790632.210400e-08
0.9104571.6789532.260309e-08
0.9152921.6788432.310483e-08
0.9201531.6787342.360924e-08
0.9250391.6786242.411632e-08
0.9299521.6785162.462610e-08
0.934891.6784072.513858e-08
0.9398551.67832.565379e-08
0.9448471.6781922.617173e-08
0.9498641.6780852.669242e-08
0.9549091.6779782.721588e-08
0.959981.6778712.774211e-08
0.9650781.6777652.827115e-08
0.9702031.6776592.880299e-08
0.9753561.6775532.933765e-08
0.9805351.6774472.987516e-08
0.9857431.6773423.041552e-08
0.9909781.6772373.095875e-08
0.996241.6771323.150486e-08
11.6770583.189500e-08
1.001531.6770283.194383e-08
1.006851.6769233.211347e-08
1.01221.6768193.228402e-08
1.017571.6767153.245547e-08
1.022981.6766113.262783e-08
1.028411.6765083.280110e-08
1.033871.6764043.297530e-08
1.039361.67633.315042e-08
1.044881.6761973.332647e-08
1.050431.6760943.350345e-08
1.056011.6759913.368138e-08
1.061621.6758883.386025e-08
1.067251.6757843.404007e-08
1.072921.6756813.422084e-08
1.078621.6755783.440258e-08
1.084351.6754763.458528e-08
1.090111.6753733.476895e-08
1.09591.675273.495359e-08
1.101721.6751673.513922e-08
1.107571.6750643.532583e-08
1.113451.6749613.551344e-08
1.119361.6748583.570204e-08
1.125311.6747543.589164e-08
1.131281.6746513.608224e-08
1.137291.6745483.627386e-08
1.143331.6744443.646650e-08
1.14941.6743413.666016e-08
1.155511.6742373.685485e-08
1.161641.6741333.705058e-08
1.167811.6740293.724734e-08
1.174011.6739253.744515e-08
1.180251.6738213.764400e-08
1.186521.6737173.784392e-08
1.192821.6736123.804489e-08
1.199151.6735073.824694e-08
1.21.6734933.827400e-08
1.205521.6734023.968737e-08
1.211921.6732964.132666e-08
1.218361.6731914.297465e-08
1.224831.6730854.463140e-08
1.231331.6729794.629694e-08
1.237871.6728724.797133e-08
1.244451.6727654.965461e-08
1.251051.6726585.134684e-08
1.25771.6725515.304804e-08
1.264381.6724435.475829e-08
1.271091.6723355.647761e-08
1.277841.6722265.820607e-08
1.284631.6721175.994370e-08
1.291451.6720086.169056e-08
1.298311.6718986.344670e-08
1.30521.6717886.521217e-08
1.312141.6716776.698701e-08
1.31911.6715666.877128e-08
1.326111.6714557.056502e-08
1.333151.6713437.236829e-08
1.340231.671237.418114e-08
1.347351.6711177.600361e-08
1.35451.6710047.783576e-08
1.36171.670897.967764e-08
1.368931.6707758.152930e-08
1.37621.670668.339080e-08
1.383511.6705448.526218e-08
1.390861.6704288.714350e-08
1.398241.6703118.903481e-08
1.41.6702838.948500e-08
1.405671.6701938.984729e-08
1.413131.6700759.032449e-08
1.420641.6699569.080422e-08
1.428181.6698369.128651e-08
1.435771.6697169.177135e-08
1.443391.6695959.225877e-08
1.451061.6694739.274878e-08
1.458761.6693519.324139e-08
1.466511.6692289.373661e-08
1.47431.6691049.423447e-08
1.482131.6689799.473497e-08
1.491.6688549.523812e-08
1.497911.6687279.574395e-08
1.505871.66869.625247e-08
1.513861.6684729.676369e-08
1.52191.6683439.727762e-08
1.529981.6682149.779428e-08
1.538111.6680839.831368e-08
1.546281.6679529.883585e-08
1.554491.6678199.936078e-08
1.562751.6676869.988851e-08
1.571041.6675511.004190e-07
1.579391.6674161.009524e-07
1.587781.667281.014886e-07
1.596211.6671421.020276e-07
1.61.6670811.022700e-07
1.604681.6670041.052861e-07
1.613211.6668651.107730e-07
1.621771.6667241.162890e-07
1.630391.6665831.218342e-07
1.639041.666441.274090e-07
1.647751.6662961.330133e-07
1.65651.6661511.386474e-07
1.66531.6660051.443114e-07
1.674141.6658581.500055e-07
1.683031.665711.557298e-07
1.691971.665561.614845e-07
1.700951.6654091.672698e-07
1.709991.6652571.730858e-07
1.719071.6651031.789327e-07
1.72821.6649481.848107e-07
1.737381.6647921.907198e-07
1.74661.6646351.966604e-07
1.755881.6644762.026325e-07
1.76521.6643162.086363e-07
1.774581.6641542.146720e-07
1.7841.6639912.207397e-07
1.793481.6638272.268397e-07
1.81.6637132.310400e-07
1.8031.6636612.365764e-07
1.812581.6634932.542425e-07
1.82221.6633252.720024e-07
1.831881.6631542.898566e-07
1.841611.6629823.078056e-07
1.851391.6628083.258500e-07
1.861221.6626333.439902e-07
1.87111.6624563.622267e-07
1.881041.6622773.805600e-07
1.891031.6620973.989908e-07
1.901071.6619154.175194e-07
1.911171.6617314.361464e-07
1.921321.6615464.548723e-07
1.931521.6613594.736976e-07
1.941781.6611694.926230e-07
1.952091.6609795.116488e-07
1.962461.6607865.307757e-07
1.972881.6605915.500042e-07
1.983361.6603945.693348e-07
1.993891.6601965.887680e-07
21.660086.000400e-07
2.004481.6599956.322951e-07
2.015121.6597927.089482e-07
2.025831.6595887.860085e-07
2.036581.6593818.634780e-07
2.04741.6591729.413589e-07
2.058271.6589611.019653e-06
2.06921.6587481.098364e-06
2.080191.6585331.177492e-06
2.091241.6583151.257040e-06
2.102351.6580951.337011e-06
2.113511.6578731.417407e-06
2.124731.6576491.498230e-06
2.136021.6574221.579482e-06
2.147361.6571921.661165e-06
2.158771.6569611.743282e-06
2.170231.6567271.825835e-06
2.181761.656491.908827e-06
2.193341.6562511.992259e-06
2.21.6561132.040200e-06
2.204991.6560092.187307e-06
2.21671.6557652.532492e-06
2.228471.6555182.879511e-06
2.240311.6552683.228372e-06
2.25221.6550163.579086e-06
2.264171.654763.931663e-06
2.276191.6545024.286112e-06
2.288281.6542424.642444e-06
2.300431.6539785.000668e-06
2.312651.6537115.360794e-06
2.324931.6534425.722832e-06
2.337281.6531696.086794e-06
2.349691.6528936.452688e-06
2.362171.6526156.820526e-06
2.374711.6523337.190316e-06
2.387321.6520477.562071e-06
2.41.6517597.935800e-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
—