Optical constants

Refractive index of S-LAL20 (OHARA)

S-LAL20: n,k 0.365–2.325 µm

Data
formula 2 + tabulated k
Range
0.365–2.325 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.325 µm
Refractive index n
1.6993
Extinction coefficient k
2.23480e-08
Permittivity ε1
2.88761
Permittivity ε2
7.59519e-08
Absorption coefficient α
0.00477933 cm⁻¹
Penetration depth δ = λ/(2πk)
4.18468e+09 nm
Abbe number Vd
51.112
Chromatic dispersion dn/dλ
-0.0702384 µm⁻¹
Group index ng
1.74057
Group velocity dispersion
128.942 fs²/mm
Dispersion parameter D
-703.447 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-LAL20 (OHARA): S-LAL20
ohara_s_lal20 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAL20", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lal20.range_nm)  # (365.015, 2325.42) nm
eps = ohara_s_lal20.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=1.06788467λ2λ2−0.00518896058+0.75873535λ2λ2−0.0204004357+1.02804682λ2λ2−120.82632

Valid from 0.365015 to 2.32542 µm.

Coefficients as stored
CiValue
C10.0
C21.06788467
C30.00518896058
C40.75873535
C50.0204004357
C61.02804682
C7120.82632

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -6.99e-06 8.4e-09 -7.12e-12 6.14e-07 5.44e-10 0.202
nd
1.699300
Vd
51.112184
density
value: 4380
thermal expansion
value: 9e-06, temperature range: 243 343
dPgF
-0.0036
resistance
acid: 53.1; climatic: 1.0; phosphate: 4.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = -2.92e-06 K⁻¹ at 633 nm, dn/dT = -3.59e-06 K⁻¹ at 1310 nm, dn/dT = -3.64e-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 422 wavelengths, the same grid as the API and the library
S-LAL20 (OHARA), S-LAL20: n and k versus wavelength
λ (µm)nk
0.3650151.7337642.833822e-07
0.3667131.733212.553358e-07
0.3684191.7326632.271588e-07
0.371.7321632.010400e-07
0.3701331.7321212.000116e-07
0.3718541.7315861.866509e-07
0.3735841.7310571.732280e-07
0.3753221.7305351.597427e-07
0.3770681.7300181.461947e-07
0.3788221.7295071.325837e-07
0.381.7291681.234400e-07
0.3805841.7290011.210065e-07
0.3823541.7285021.136275e-07
0.3841331.7280081.062141e-07
0.385921.727529.876629e-08
0.3877151.7270379.128382e-08
0.3895181.7265598.376654e-08
0.391.7264338.175900e-08
0.391331.7260877.857420e-08
0.3931511.725627.421611e-08
0.3949791.7251596.983775e-08
0.3968171.7247026.543903e-08
0.3986631.7242516.101984e-08
0.41.7239285.781800e-08
0.4005171.7238045.745388e-08
0.402381.7233635.614191e-08
0.4042521.7229265.482382e-08
0.4061321.7224945.349961e-08
0.4080221.7220675.216924e-08
0.409921.7216455.083267e-08
0.4118261.7212274.948989e-08
0.4137421.7208134.814087e-08
0.4156671.7204044.678557e-08
0.41761.724.542396e-08
0.4195431.71964.405602e-08
0.421.7195074.373400e-08
0.4214941.7192044.388963e-08
0.4234551.7188134.409383e-08
0.4254251.7184264.429898e-08
0.4274041.7180424.450509e-08
0.4293921.7176634.471216e-08
0.4313891.7172884.492019e-08
0.4333961.7169174.512918e-08
0.4354121.716554.533915e-08
0.4374371.7161874.555010e-08
0.4394721.7158284.576202e-08
0.441.7157364.581700e-08
0.4415161.7154724.541303e-08
0.443571.7151214.486590e-08
0.4456341.7147734.431622e-08
0.4477061.7144284.376399e-08
0.4497891.7140874.320919e-08
0.4518811.713754.265181e-08
0.4539831.7134164.209183e-08
0.4560951.7130864.152925e-08
0.4582171.7127594.096405e-08
0.461.7124884.048900e-08
0.4603481.7124364.031822e-08
0.462491.7121163.926808e-08
0.4646411.7117993.821306e-08
0.4668021.7114863.715313e-08
0.4689741.7111753.608826e-08
0.4711551.7108683.501845e-08
0.4733471.7105643.394366e-08
0.4755491.7102643.286387e-08
0.4777611.7099663.177905e-08
0.4799831.7096713.068919e-08
0.481.7096693.068100e-08
0.4822161.7093792.993464e-08
0.4844591.7090912.917916e-08
0.4867131.7088052.842016e-08
0.4889771.7085222.765764e-08
0.4912511.7082422.689157e-08
0.4935361.7079652.612193e-08
0.4958321.707692.534871e-08
0.4981391.7074182.457190e-08
0.51.7072022.394500e-08
0.5004561.7071492.388662e-08
0.5027841.7068832.358851e-08
0.5051231.7066192.328900e-08
0.5074721.7063582.298810e-08
0.5098331.70612.268580e-08
0.5122041.7058442.238210e-08
0.5145871.7055912.207698e-08
0.5169811.705342.177044e-08
0.5193861.7050912.146248e-08
0.5218021.7048452.115309e-08
0.5242291.7046022.084225e-08
0.5266671.7043612.052997e-08
0.5291171.7041222.021624e-08
0.5315791.7038851.990105e-08
0.5340511.7036511.958439e-08
0.5365361.7034191.926626e-08
0.5390311.703191.894665e-08
0.5415391.7029621.862555e-08
0.5440581.7027371.830296e-08
0.5465891.7025141.797887e-08
0.5491311.7022931.765327e-08
0.551.7022181.754200e-08
0.5516861.7020741.775744e-08
0.5542521.7018571.808546e-08
0.556831.7016431.841501e-08
0.559421.701431.874609e-08
0.5620221.7012191.907871e-08
0.5646371.7010111.941287e-08
0.5672631.7008041.974859e-08
0.5699021.7005992.008588e-08
0.5725531.7003972.042473e-08
0.5752161.7001962.076516e-08
0.5778921.6999972.110717e-08
0.580581.69982.145077e-08
0.5832811.6996042.179597e-08
0.5859941.6994112.214277e-08
0.588721.6992192.249119e-08
0.5914591.6990292.284123e-08
0.594211.6988412.319290e-08
0.5969741.6986552.354621e-08
0.5997511.698472.390115e-08
0.61.6984532.393300e-08
0.6025411.6982872.429866e-08
0.6053441.6981052.470204e-08
0.6081591.6979262.510730e-08
0.6109881.6977482.551444e-08
0.613831.6975712.592348e-08
0.6166861.6973962.633442e-08
0.6195541.6972232.674728e-08
0.6224361.6970512.716205e-08
0.6253321.6968812.757875e-08
0.6282411.6967122.799739e-08
0.6311631.6965452.841798e-08
0.6340991.6963792.884053e-08
0.6370491.6962152.926504e-08
0.6400121.6960522.969152e-08
0.6429891.6958913.011999e-08
0.645981.6957313.055045e-08
0.6489851.6955723.098292e-08
0.651.6955193.112900e-08
0.6520041.6954153.077620e-08
0.6550371.6952593.024223e-08
0.6580841.6951052.970577e-08
0.6611451.6949522.916682e-08
0.664221.69482.862536e-08
0.667311.6946492.808138e-08
0.6704141.69452.753487e-08
0.6735331.6943522.698581e-08
0.6766661.6942052.643421e-08
0.6798141.694062.588003e-08
0.6829761.6939162.532328e-08
0.6861531.6937722.476394e-08
0.6893451.6936312.420200e-08
0.6925511.693492.363744e-08
0.6957731.693352.307026e-08
0.6990091.6932122.250044e-08
0.71.693172.232600e-08
0.7022611.6930752.210940e-08
0.7055271.6929392.179642e-08
0.7088091.6928042.148198e-08
0.7121061.692672.116608e-08
0.7154191.6925372.084871e-08
0.7187471.6924052.052986e-08
0.722091.6922742.020953e-08
0.7254491.6921451.988771e-08
0.7288241.6920161.956440e-08
0.7322141.6918891.923957e-08
0.735621.6917621.891324e-08
0.7390421.6916361.858539e-08
0.742481.6915121.825602e-08
0.7459331.6913881.792511e-08
0.7494031.6912651.759267e-08
0.7528891.6911431.725867e-08
0.7563921.6910231.692313e-08
0.759911.6909031.658602e-08
0.7634451.6907841.624735e-08
0.7669961.6906651.590710e-08
0.7705641.6905481.556526e-08
0.7741481.6904321.522184e-08
0.777751.6903161.487682e-08
0.7813671.6902021.453019e-08
0.7850021.6900881.418196e-08
0.7886541.6899751.383210e-08
0.7923221.6898631.348061e-08
0.7960081.6897511.312749e-08
0.7997111.6896411.277273e-08
0.81.6896321.274500e-08
0.8034311.6895311.304596e-08
0.8071681.6894221.337384e-08
0.8109231.6893131.370324e-08
0.8146951.6892061.403417e-08
0.8184841.6890991.436664e-08
0.8222921.6889931.470065e-08
0.8261171.6888871.503622e-08
0.829961.6887831.537336e-08
0.833821.6886791.571206e-08
0.8376991.6885761.605233e-08
0.8415961.6884731.639419e-08
0.8455111.6883711.673764e-08
0.8494441.688271.708268e-08
0.8533951.6881691.742934e-08
0.8573651.6880691.777760e-08
0.8613531.687971.812748e-08
0.865361.6878711.847899e-08
0.8693851.6877731.883214e-08
0.8734291.6876751.918693e-08
0.8774921.6875781.954337e-08
0.8815741.6874821.990147e-08
0.8856751.6873862.026123e-08
0.8897941.6872912.062267e-08
0.8939331.6871962.098578e-08
0.8980921.6871022.135059e-08
0.91.687062.151800e-08
0.9022691.6870092.157226e-08
0.9064661.6869162.167261e-08
0.9106831.6868232.177343e-08
0.9149191.6867312.187472e-08
0.9191751.686642.197648e-08
0.9234511.6865492.207871e-08
0.9277471.6864582.218142e-08
0.9320621.6863682.228460e-08
0.9363981.6862782.238827e-08
0.9407541.6861892.249242e-08
0.945131.6861012.259705e-08
0.9495261.6860122.270217e-08
0.9539431.6859252.280778e-08
0.958381.6858372.291388e-08
0.9628391.685752.302047e-08
0.9673171.6856642.312756e-08
0.9718171.6855782.323514e-08
0.9763381.6854922.334323e-08
0.9808791.6854072.345182e-08
0.9854421.6853222.356092e-08
0.9900261.6852372.367052e-08
0.9946311.6851532.378063e-08
0.9992581.6850692.389126e-08
11.6850552.390900e-08
1.003911.6849852.381543e-08
1.008581.6849022.370356e-08
1.013271.6848192.359118e-08
1.017981.6847372.347827e-08
1.022721.6846542.336483e-08
1.027471.6845722.325087e-08
1.032251.6844912.313638e-08
1.037051.6844092.302135e-08
1.041881.6843282.290579e-08
1.046731.6842482.278969e-08
1.051591.6841672.267306e-08
1.056491.6840872.255588e-08
1.06141.6840072.243815e-08
1.066341.6839272.231988e-08
1.07131.6838472.220106e-08
1.076281.6837682.208168e-08
1.081291.6836892.196175e-08
1.086321.683612.184126e-08
1.091371.6835322.172021e-08
1.096451.6834532.159860e-08
1.101551.6833752.147642e-08
1.106671.6832972.135367e-08
1.111821.6832192.123035e-08
1.116991.6831422.110646e-08
1.122191.6830642.098200e-08
1.127411.6829872.085695e-08
1.132651.682912.073132e-08
1.137921.6828322.060511e-08
1.143211.6827562.047831e-08
1.148531.6826792.035092e-08
1.153871.6826022.022294e-08
1.159241.6825262.009436e-08
1.164631.6824491.996518e-08
1.170051.6823731.983541e-08
1.175491.6822971.970503e-08
1.180961.6822211.957404e-08
1.186461.6821451.944245e-08
1.191981.6820691.931024e-08
1.197521.6819931.917741e-08
1.21.6819591.911800e-08
1.203091.6819171.933980e-08
1.208691.6818411.974148e-08
1.214311.6817652.014503e-08
1.219961.681692.055046e-08
1.225631.6816142.095777e-08
1.231331.6815382.136698e-08
1.237061.6814632.177809e-08
1.242821.6813872.219111e-08
1.24861.6813122.260606e-08
1.254411.6812362.302293e-08
1.260241.681162.344175e-08
1.26611.6810852.386251e-08
1.271991.6810092.428523e-08
1.277911.6809332.470991e-08
1.283851.6808582.513657e-08
1.289831.6807822.556522e-08
1.295831.6807062.599586e-08
1.301851.680632.642850e-08
1.307911.6805542.686316e-08
1.313991.6804782.729984e-08
1.320111.6804022.773854e-08
1.326251.6803262.817929e-08
1.332421.680252.862209e-08
1.338611.6801742.906695e-08
1.344841.6800972.951388e-08
1.35111.6800212.996289e-08
1.357381.6799443.041398e-08
1.363691.6798673.086718e-08
1.370041.679793.132248e-08
1.376411.6797133.177990e-08
1.382811.6796363.223945e-08
1.389251.6795583.270114e-08
1.395711.6794813.316497e-08
1.41.6794293.347300e-08
1.40221.6794033.380696e-08
1.408721.6793253.479673e-08
1.415281.6792473.579111e-08
1.421861.6791693.679011e-08
1.428471.679093.779375e-08
1.435121.6790123.880207e-08
1.441791.6789333.981508e-08
1.44851.6788544.083279e-08
1.455241.6787744.185525e-08
1.462011.6786954.288246e-08
1.468811.6786154.391444e-08
1.475641.6785354.495123e-08
1.482511.6784544.599284e-08
1.48941.6783744.703930e-08
1.496331.6782934.809062e-08
1.503291.6782124.914683e-08
1.510281.678135.020796e-08
1.517311.6780495.127402e-08
1.524371.6779665.234505e-08
1.531461.6778845.342105e-08
1.538581.6778015.450206e-08
1.545741.6777185.558810e-08
1.552931.6776355.667919e-08
1.560151.6775515.777535e-08
1.567411.6774675.887661e-08
1.57471.6773835.998300e-08
1.582031.6772986.109453e-08
1.589391.6772136.221124e-08
1.596781.6771276.333314e-08
1.61.677096.382200e-08
1.604211.6770416.703268e-08
1.611671.6769557.272892e-08
1.619171.6768687.845165e-08
1.62671.6767818.420101e-08
1.634261.6766938.997711e-08
1.641871.6766059.578008e-08
1.64951.6765171.016100e-07
1.657181.6764281.074671e-07
1.664891.6763381.133514e-07
1.672631.6762491.192631e-07
1.680411.6761581.252023e-07
1.688231.6760671.311692e-07
1.696081.6759761.371638e-07
1.703971.6758841.431862e-07
1.71191.6757921.492367e-07
1.719861.6756991.553153e-07
1.727861.6756061.614222e-07
1.73591.6755121.675575e-07
1.743971.6754171.737214e-07
1.752081.6753221.799139e-07
1.760231.6752261.861352e-07
1.768421.675131.923855e-07
1.776651.6750331.986648e-07
1.784911.6749362.049734e-07
1.793221.6748382.113113e-07
1.81.6747582.164900e-07
1.801561.6747392.187066e-07
1.809941.674642.306360e-07
1.818361.674542.426208e-07
1.826821.674442.546613e-07
1.835311.6743382.667579e-07
1.843851.6742372.789107e-07
1.852431.6741342.911201e-07
1.861041.6740313.033862e-07
1.86971.6739273.157095e-07
1.87841.6738223.280900e-07
1.887141.6737173.405281e-07
1.895911.6736113.530241e-07
1.904731.6735043.655782e-07
1.913591.6733963.781908e-07
1.92251.6732883.908619e-07
1.931441.6731794.035921e-07
1.940421.6730694.163814e-07
1.949451.6729584.292302e-07
1.958521.6728474.421388e-07
1.967631.6727354.551075e-07
1.976781.6726214.681365e-07
1.985981.6725074.812261e-07
1.995211.6723934.943765e-07
21.6723335.011900e-07
2.004491.6722775.163687e-07
2.013821.672165.478573e-07
2.023191.6720435.794923e-07
2.03261.6719246.112744e-07
2.042051.6718056.432044e-07
2.051551.6716856.752830e-07
2.061091.6715647.075107e-07
2.070681.6714427.398884e-07
2.080311.6713187.724166e-07
2.089991.6711948.050962e-07
2.099711.6710698.379278e-07
2.109481.6709438.709121e-07
2.119291.6708169.040499e-07
2.129151.6706889.373418e-07
2.139061.6705599.707886e-07
2.149011.6704291.004391e-06
2.1591.6702971.038150e-06
2.169051.6701651.072065e-06
2.179141.6700321.106139e-06
2.189271.6698971.140371e-06
2.199461.6697611.174762e-06
2.21.6697541.176600e-06
2.209691.6696241.280894e-06
2.219971.6694861.391560e-06
2.230291.6693471.502741e-06
2.240671.6692071.614439e-06
2.251091.6690651.726657e-06
2.261561.6689221.839397e-06
2.272081.6687781.952661e-06
2.282651.6686332.066452e-06
2.293271.6684862.180773e-06
2.303941.6683382.295625e-06
2.314651.6681892.411011e-06
2.325421.6680392.526934e-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
—