Optical constants

Refractive index of S-LAH88 (OHARA)

S-LAH88: n,k 0.37–2.4 µm

Data
formula 2 + tabulated k
Range
0.37–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.37–2.4 µm
Refractive index n
1.91649
Extinction coefficient k
2.09233e-08
Permittivity ε1
3.67295
Permittivity ε2
8.01989e-08
Absorption coefficient α
0.00447465 cm⁻¹
Penetration depth δ = λ/(2πk)
4.46962e+09 nm
Abbe number Vd
31.604
Chromatic dispersion dn/dλ
-0.146547 µm⁻¹
Group index ng
2.0026
Group velocity dispersion
289.633 fs²/mm
Dispersion parameter D
-1580.1 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-LAH88 (OHARA): S-LAH88
ohara_s_lah88 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAH88", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lah88.range_nm)  # (370, 2400) nm
eps = ohara_s_lah88.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=2.1284434λ2λ2−0.0117309815+0.405082139λ2λ2−0.0508706599+1.67918461λ2λ2−107.091456

Valid from 0.37 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C22.1284434
C30.0117309815
C40.405082139
C50.0508706599
C61.67918461
C7107.091456

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 4.66e-06 1.07e-08 -2.33e-11 9.1e-07 1.07e-09 0.262
nd
1.916499
Vd
31.604148
density
value: 4740
thermal expansion
value: 5.7e-06, temperature range: 243 343
dPgF
0.0008
resistance
acid: 3.2; climatic: 1.0; phosphate: 1.1

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 5.13e-06 K⁻¹ at 633 nm, dn/dT = 3.51e-06 K⁻¹ at 1310 nm, dn/dT = 3.39e-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 421 wavelengths, the same grid as the API and the library
S-LAH88 (OHARA), S-LAH88: n and k versus wavelength
λ (µm)nk
0.371.9925832.351100e-06
0.3717381.991182.145177e-06
0.3734841.98981.938286e-06
0.3752381.9884411.730424e-06
0.3770011.9871031.521586e-06
0.3787711.9857871.311766e-06
0.381.9848891.166200e-06
0.3805511.9844911.137998e-06
0.3823381.9832151.046441e-06
0.3841341.9819599.544542e-07
0.3859381.9807228.620353e-07
0.3877511.9795037.691822e-07
0.3895721.9783036.758931e-07
0.391.9780256.539800e-07
0.3914021.9771216.244394e-07
0.393241.9759565.857039e-07
0.3950871.9748095.467864e-07
0.3969431.9736785.076862e-07
0.3988081.9725644.684023e-07
0.41.9718634.432800e-07
0.4006811.9714664.357147e-07
0.4025631.9703844.148038e-07
0.4044541.9693183.937946e-07
0.4063531.9682663.726868e-07
0.4082621.967233.514798e-07
0.410181.9662083.301732e-07
0.4121061.96523.087665e-07
0.4140421.9642062.872593e-07
0.4159871.9632272.656511e-07
0.4179411.962262.439413e-07
0.4199041.9613072.221296e-07
0.421.9612612.210600e-07
0.4218761.9603672.133899e-07
0.4238581.959442.052883e-07
0.4258481.9585251.971486e-07
0.4278491.9576221.889707e-07
0.4298581.9567321.807544e-07
0.4318771.9558531.724995e-07
0.4339061.9549861.642059e-07
0.4359441.9541311.558733e-07
0.4379921.9532871.475015e-07
0.441.9524731.392900e-07
0.4400491.9524531.391946e-07
0.4421161.9516311.351538e-07
0.4441921.9508191.310940e-07
0.4462791.9500181.270151e-07
0.4483751.9492271.229171e-07
0.4504811.9484461.187998e-07
0.4525971.9476751.146632e-07
0.4547231.9469141.105071e-07
0.4568591.9461621.063316e-07
0.4590041.945421.021364e-07
0.461.945081.001900e-07
0.461161.9446879.862833e-08
0.4633261.9439639.571312e-08
0.4655031.9432489.278421e-08
0.4676891.9425428.984155e-08
0.4698861.9418458.688506e-08
0.4720931.9411568.391469e-08
0.474311.9404758.093036e-08
0.4765381.9398037.793202e-08
0.4787771.9391397.491960e-08
0.481.9387817.327300e-08
0.4810251.9384837.218571e-08
0.4832851.9378356.978986e-08
0.4855551.9371956.738276e-08
0.4878351.9365626.496435e-08
0.4901271.9359376.253458e-08
0.4924291.9353196.009340e-08
0.4947421.9347095.764075e-08
0.4970661.9341065.517658e-08
0.49941.933515.270084e-08
0.51.9333585.206500e-08
0.5017461.932925.116665e-08
0.5041031.9323384.995412e-08
0.5064711.9317624.873590e-08
0.5088491.9311934.751196e-08
0.511241.9306314.628226e-08
0.5136411.9300754.504680e-08
0.5160531.9295254.380552e-08
0.5184771.9289824.255842e-08
0.5209131.9284444.130546e-08
0.5233591.9279134.004662e-08
0.5258181.9273883.878186e-08
0.5282871.9268693.751116e-08
0.5307691.9263563.623450e-08
0.5332621.9258483.495183e-08
0.5357661.9253463.366315e-08
0.5382831.9248493.236841e-08
0.5408111.9243583.106758e-08
0.5433521.9238732.976065e-08
0.5459041.9233922.844758e-08
0.5484681.9229172.712834e-08
0.551.9226372.634000e-08
0.5510441.9224482.618961e-08
0.5536321.9219832.581675e-08
0.5562331.9215232.544213e-08
0.5588451.9210692.506576e-08
0.561471.9206192.468761e-08
0.5641071.9201742.430769e-08
0.5667571.9197342.392599e-08
0.5694191.9192982.354249e-08
0.5720941.9188672.315719e-08
0.5747811.9184412.277009e-08
0.577481.9180192.238116e-08
0.5801931.9176022.199041e-08
0.5829181.9171892.159782e-08
0.5856561.916782.120338e-08
0.5884071.9163762.080710e-08
0.5911711.9159762.040895e-08
0.5939471.915582.000894e-08
0.5967371.9151881.960704e-08
0.599541.91481.920326e-08
0.61.9147371.913700e-08
0.6023561.9144161.896755e-08
0.6051851.9140361.876407e-08
0.6080281.913661.855963e-08
0.6108841.9132871.835423e-08
0.6137531.9129191.814787e-08
0.6166361.9125541.794054e-08
0.6195321.9121931.773223e-08
0.6224421.9118351.752295e-08
0.6253661.9114811.731268e-08
0.6283031.9111311.710143e-08
0.6312541.9107841.688918e-08
0.6342191.910441.667594e-08
0.6371981.91011.646169e-08
0.6401911.9097641.624644e-08
0.6431981.909431.603018e-08
0.6462191.90911.581290e-08
0.6492551.9087731.559460e-08
0.651.9086931.554100e-08
0.6523041.9084491.533873e-08
0.6553681.9081281.506978e-08
0.6584461.9078111.479957e-08
0.6615391.9074961.452809e-08
0.6646461.9071841.425534e-08
0.6677681.9068761.398130e-08
0.6709051.906571.370598e-08
0.6740561.9062671.342936e-08
0.6772221.9059671.315144e-08
0.6804031.905671.287222e-08
0.6835991.9053761.259169e-08
0.686811.9050841.230984e-08
0.6900361.9047951.202667e-08
0.6932771.9045091.174216e-08
0.6965331.9042251.145632e-08
0.6998051.9039441.116914e-08
0.71.9039281.115200e-08
0.7030921.9036661.100413e-08
0.7063941.903391.084619e-08
0.7097121.9031161.068751e-08
0.7130461.9028451.052808e-08
0.7163951.9025771.036790e-08
0.719761.9023111.020697e-08
0.723141.9020471.004528e-08
0.7265371.9017859.882837e-09
0.729951.9015269.719628e-09
0.7333781.9012699.555653e-09
0.7368231.9010159.390907e-09
0.7402841.9007629.225388e-09
0.7437611.9005129.059091e-09
0.7472541.9002648.892013e-09
0.7507641.9000188.724150e-09
0.7542911.8997748.555499e-09
0.7578331.8995328.386055e-09
0.7613931.8992928.215816e-09
0.7649691.8990558.044777e-09
0.7685621.8988197.872935e-09
0.7721721.8985857.700286e-09
0.7757991.8983537.526825e-09
0.7794431.8981237.352550e-09
0.7831041.8978957.177457e-09
0.7867821.8976697.001541e-09
0.7904781.8974446.824798e-09
0.7941911.8972226.647226e-09
0.7979211.8970016.468819e-09
0.81.8968796.369400e-09
0.8016691.8967826.382689e-09
0.8054351.8965656.412670e-09
0.8092181.8963496.442791e-09
0.8130191.8961356.473054e-09
0.8168371.8959236.503459e-09
0.8206741.8957126.534007e-09
0.8245291.8955036.564698e-09
0.8284021.8952966.595533e-09
0.8322931.895096.626514e-09
0.8362021.8948856.657639e-09
0.840131.8946826.688911e-09
0.8440761.8944816.720330e-09
0.848041.8942816.751897e-09
0.8520241.8940836.783611e-09
0.8560251.8938866.815475e-09
0.8600461.893696.847488e-09
0.8640861.8934966.879652e-09
0.8681451.8933046.911967e-09
0.8722221.8931126.944433e-09
0.8763191.8929226.977052e-09
0.8804351.8927337.009825e-09
0.8845711.8925467.042751e-09
0.8887251.8923597.075832e-09
0.89291.8921757.109068e-09
0.8970941.8919917.142460e-09
0.91.8918657.165600e-09
0.9013071.8918087.176008e-09
0.9055411.8916277.209711e-09
0.9097941.8914477.243571e-09
0.9140671.8912687.277591e-09
0.9183611.891097.311771e-09
0.9226741.8909137.346111e-09
0.9270081.8907387.380613e-09
0.9313621.8905637.415276e-09
0.9357371.8903897.450102e-09
0.9401321.8902177.485092e-09
0.9445481.8900467.520247e-09
0.9489851.8898757.555566e-09
0.9534421.8897067.591051e-09
0.957921.8895377.626703e-09
0.962421.889377.662523e-09
0.966941.8892037.698511e-09
0.9714821.8890387.734667e-09
0.9760451.8888737.770994e-09
0.9806291.8887097.807491e-09
0.9852351.8885467.844160e-09
0.9898631.8883847.881000e-09
0.9945131.8882237.918014e-09
0.9991841.8880627.955202e-09
11.8880347.961700e-09
1.003881.8879037.992568e-09
1.008591.8877448.030111e-09
1.013331.8875868.067830e-09
1.018091.8874298.105726e-09
1.022871.8872728.143800e-09
1.027681.8871168.182053e-09
1.03251.8869618.220486e-09
1.037351.8868078.259099e-09
1.042221.8866538.297893e-09
1.047121.88658.336870e-09
1.052041.8863488.376030e-09
1.056981.8861968.415374e-09
1.061941.8860458.454902e-09
1.066931.8858948.494616e-09
1.071941.8857448.534517e-09
1.076981.8855958.574605e-09
1.082041.8854468.614882e-09
1.087121.8852988.655347e-09
1.092231.885158.696003e-09
1.097361.8850038.736850e-09
1.102511.8848568.777888e-09
1.107691.884718.819120e-09
1.112891.8845648.860545e-09
1.118121.8844198.902164e-09
1.123371.8842748.943979e-09
1.128651.884138.985990e-09
1.133951.8839869.028199e-09
1.139271.8838429.070606e-09
1.144631.8836999.113212e-09
1.151.8835569.156019e-09
1.15541.8834149.199026e-09
1.160831.8832719.242235e-09
1.166281.883139.285648e-09
1.171761.8829889.329264e-09
1.177271.8828479.373085e-09
1.182791.8827069.417112e-09
1.188351.8825669.461346e-09
1.193931.8824259.505787e-09
1.199541.8822859.550437e-09
1.21.8822749.554100e-09
1.205171.8821451.075168e-08
1.210831.8820061.206185e-08
1.216521.8818671.337817e-08
1.222241.8817271.470068e-08
1.227981.8815881.602940e-08
1.233741.8814491.736436e-08
1.239541.8813111.870559e-08
1.245361.8811722.005312e-08
1.251211.8810342.140698e-08
1.257091.8808962.276720e-08
1.262991.8807572.413381e-08
1.268931.8806192.550683e-08
1.274891.8804812.688631e-08
1.280871.8803432.827227e-08
1.286891.8802052.966473e-08
1.292931.8800683.106374e-08
1.299011.879933.246931e-08
1.305111.8797923.388149e-08
1.311241.8796543.530030e-08
1.31741.8795163.672578e-08
1.323591.8793783.815795e-08
1.32981.879243.959685e-08
1.336051.8791024.104251e-08
1.342321.8789644.249496e-08
1.348631.8788264.395422e-08
1.354961.8786884.542035e-08
1.361331.8785494.689336e-08
1.367721.8784114.837329e-08
1.374151.8782724.986017e-08
1.38061.8781345.135403e-08
1.387091.8779955.285491e-08
1.39361.8778555.436284e-08
1.41.8777195.584400e-08
1.400151.8777165.585920e-08
1.406721.8775775.654250e-08
1.413331.8774375.722901e-08
1.419971.8772975.791874e-08
1.426641.8771575.861171e-08
1.433341.8770165.930794e-08
1.440071.8768756.000744e-08
1.446841.8767346.071022e-08
1.453631.8765936.141631e-08
1.460461.8764516.212571e-08
1.467321.8763096.283844e-08
1.474211.8761676.355452e-08
1.481141.8760246.427396e-08
1.488091.8758816.499679e-08
1.495081.8757386.572301e-08
1.50211.8755946.645263e-08
1.509161.875456.718569e-08
1.516251.8753056.792219e-08
1.523371.875166.866215e-08
1.530531.8750146.940559e-08
1.537711.8748687.015251e-08
1.544941.8747227.090295e-08
1.552191.8745757.165691e-08
1.559481.8744277.241441e-08
1.566811.8742797.317547e-08
1.574171.874137.394010e-08
1.581561.8739817.470833e-08
1.588991.8738317.548016e-08
1.596451.8736817.625562e-08
1.61.873617.662400e-08
1.603951.873537.938847e-08
1.611491.8733788.465708e-08
1.619061.8732268.995043e-08
1.626661.8730739.526865e-08
1.63431.872921.006118e-07
1.641981.8727661.059801e-07
1.649691.8726111.113736e-07
1.657441.8724551.167925e-07
1.665221.8722991.222368e-07
1.673051.8721421.277066e-07
1.68091.8719841.332022e-07
1.68881.8718251.387236e-07
1.696731.8716661.442709e-07
1.70471.8715061.498442e-07
1.712711.8713451.554438e-07
1.720751.8711831.610696e-07
1.728831.871021.667219e-07
1.736951.8708561.724007e-07
1.745111.8706921.781062e-07
1.753311.8705261.838384e-07
1.761551.870361.895977e-07
1.769821.8701931.953839e-07
1.778131.8700252.011973e-07
1.786481.8698552.070381e-07
1.794881.8696852.129063e-07
1.81.8695812.164900e-07
1.803311.8695142.228301e-07
1.811781.8693422.390738e-07
1.820291.8691682.553937e-07
1.828841.8689942.717903e-07
1.837431.8688192.882639e-07
1.846061.8686423.048149e-07
1.854731.8684653.214436e-07
1.863441.8682863.381504e-07
1.872191.8681063.549357e-07
1.880991.8679253.717999e-07
1.889821.8677423.887432e-07
1.89871.8675594.057662e-07
1.907621.8673744.228691e-07
1.916581.8671884.400523e-07
1.925581.8670014.573162e-07
1.934621.8668124.746612e-07
1.943711.8666224.920877e-07
1.952841.8664315.095961e-07
1.962011.8662395.271866e-07
1.971231.8660455.448599e-07
1.980491.8658495.626161e-07
1.989791.8656525.804557e-07
1.999131.8654545.983791e-07
21.8654366.000400e-07
2.008521.8652556.614188e-07
2.017961.8650537.293516e-07
2.027441.8648517.976035e-07
2.036961.8646478.661760e-07
2.046531.8644419.350706e-07
2.056141.8642341.004289e-06
2.06581.8640251.073832e-06
2.07551.8638141.143702e-06
2.085251.8636021.213900e-06
2.095041.8633881.284428e-06
2.104881.8631731.355287e-06
2.114771.8629561.426479e-06
2.12471.8627371.498005e-06
2.134681.8625161.569868e-06
2.144711.8622931.642067e-06
2.154781.8620691.714606e-06
2.16491.8618431.787486e-06
2.175071.8616151.860708e-06
2.185291.8613851.934274e-06
2.195551.8611532.008185e-06
2.21.8610532.040200e-06
2.205871.860922.172224e-06
2.216231.8606842.405392e-06
2.226641.8604462.639656e-06
2.23711.8602062.875021e-06
2.24761.8599653.111491e-06
2.258161.8597213.349071e-06
2.268771.8594753.587768e-06
2.279421.8592273.827585e-06
2.290131.8589764.068529e-06
2.300891.8587244.310605e-06
2.311691.8584694.553818e-06
2.322551.8582124.798173e-06
2.333461.8579535.043676e-06
2.344421.8576925.290332e-06
2.355431.8574285.538147e-06
2.36651.8571625.787125e-06
2.377611.8568936.037274e-06
2.388781.8566226.288597e-06
2.41.8563486.541100e-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
—