Optical constants

Refractive index of S-LAH51 (OHARA)

S-LAH51: n,k 0.33–2.4 µm

Data
formula 2 + tabulated k
Range
0.33–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.33–2.4 µm
Refractive index n
1.78589
Extinction coefficient k
1.29605e-08
Permittivity ε1
3.18941
Permittivity ε2
4.62921e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
44.203
Chromatic dispersion dn/dλ
-0.0909875 µm⁻¹
Group index ng
1.83936
Group velocity dispersion
168.541 fs²/mm
Dispersion parameter D
-919.483 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-LAH51 (OHARA): S-LAH51
ohara_s_lah51 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAH51", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lah51.range_nm)  # (330, 2400) nm
eps = ohara_s_lah51.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=1.82586991λ2λ2−0.00935297152+0.283023349λ2λ2−0.0373803057+1.35964319λ2λ2−100.655798

Valid from 0.33 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.82586991
C30.00935297152
C40.283023349
C50.0373803057
C61.35964319
C7100.655798

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 5.3e-06 1.13e-08 2.62e-12 8.44e-07 1.11e-09 0.169
nd
1.785896
Vd
44.202637
glass code
786442
density
value: 4400
thermal expansion
value: 5.9e-06, temperature range: 243 343; value: 7.2e-06, temperature range: 293 573
dPgF
-0.0069
resistance
acid: 4.0; climatic: 1.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 4.62e-06 K⁻¹ at 633 nm, dn/dT = 3.46e-06 K⁻¹ at 1310 nm, dn/dT = 3.36e-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 425 wavelengths, the same grid as the API and the library
S-LAH51 (OHARA), S-LAH51: n and k versus wavelength
λ (µm)nk
0.331.8511871.209300e-05
0.3316451.8500831.089229e-05
0.3332981.8489969.685599e-06
0.334961.8479258.472890e-06
0.336631.8468717.254136e-06
0.3383081.8458336.029306e-06
0.3399941.8448114.798370e-06
0.341.8448084.794300e-06
0.3416891.8438044.301197e-06
0.3433931.8428133.804000e-06
0.3451051.8418363.304325e-06
0.3468251.8408732.802158e-06
0.3485541.8399252.297488e-06
0.351.8391461.875400e-06
0.3502921.838991.847009e-06
0.3520381.8380691.676956e-06
0.3537931.8371621.506054e-06
0.3555561.8362671.334301e-06
0.3573291.8353851.161691e-06
0.359111.8345169.882209e-07
0.361.8340889.015800e-07
0.3609011.8336598.666202e-07
0.36271.8328147.967739e-07
0.3645081.8319827.265795e-07
0.3663251.831166.560351e-07
0.3681511.830355.851390e-07
0.3699861.8295525.138895e-07
0.371.8295465.133600e-07
0.3718311.8287644.715867e-07
0.3736841.8279874.292924e-07
0.3755471.8272213.867873e-07
0.3774191.8264653.440703e-07
0.3793011.8257193.011403e-07
0.381.8254452.851900e-07
0.3811921.8249832.733016e-07
0.3830921.8242572.543462e-07
0.3850021.8235412.352962e-07
0.3869211.8228342.161513e-07
0.388851.8221371.969109e-07
0.391.8217271.854400e-07
0.3907891.8214491.808028e-07
0.3927371.8207691.693458e-07
0.3946941.8200991.578317e-07
0.3966621.8194371.462602e-07
0.398641.8187841.346310e-07
0.41.8183421.266300e-07
0.4006271.818141.250987e-07
0.4026241.8175031.202196e-07
0.4046311.8168751.153162e-07
0.4066481.8162551.103883e-07
0.4086751.8156431.054358e-07
0.4107131.8150381.004587e-07
0.412761.8144419.545676e-08
0.4148181.8138529.042987e-08
0.4168861.813278.537792e-08
0.4189641.8126958.030079e-08
0.421.8124127.777000e-08
0.4210531.8121277.664923e-08
0.4231521.8115677.441442e-08
0.4252611.8110137.216846e-08
0.4273811.8104666.991131e-08
0.4295121.8099266.764291e-08
0.4316531.8093926.536320e-08
0.4338051.8088656.307212e-08
0.4359671.8083446.076962e-08
0.4381411.807835.845564e-08
0.441.8073965.647600e-08
0.4403251.8073215.621633e-08
0.442521.8068195.446169e-08
0.4447261.8063235.269830e-08
0.4469431.8058335.092613e-08
0.4491711.8053494.914511e-08
0.451411.804874.735522e-08
0.4536611.8043974.555641e-08
0.4559221.8039294.374863e-08
0.4581951.8034684.193184e-08
0.461.8031064.048900e-08
0.4604791.8030114.016181e-08
0.4627751.802563.859429e-08
0.4650821.8021143.701895e-08
0.46741.8016733.543577e-08
0.469731.8012373.384469e-08
0.4720721.8008073.224567e-08
0.4744251.8003813.063869e-08
0.476791.799962.902370e-08
0.4791671.7995442.740065e-08
0.481.79942.683200e-08
0.4815561.7991332.629613e-08
0.4839571.7987262.546935e-08
0.4863691.7983242.463846e-08
0.4887941.7979272.380342e-08
0.4912311.7975342.296421e-08
0.4936791.7971452.212083e-08
0.496141.7967612.127324e-08
0.4986141.7963812.042142e-08
0.51.7961711.994400e-08
0.5010991.7960051.969813e-08
0.5035971.7956341.913948e-08
0.5061081.7952661.857805e-08
0.5086311.7949031.801382e-08
0.5111671.7945441.744677e-08
0.5137151.7941881.687690e-08
0.5162761.7938371.630418e-08
0.5188491.7934891.572861e-08
0.5214361.7931451.515017e-08
0.5240351.7928051.456885e-08
0.5266481.7924681.398463e-08
0.5292731.7921351.339750e-08
0.5319121.7918061.280744e-08
0.5345631.791481.221444e-08
0.5372281.7911581.161848e-08
0.5399061.7908391.101956e-08
0.5425981.7905231.041764e-08
0.5453031.7902119.812728e-09
0.5480211.7899029.204798e-09
0.551.789688.762300e-09
0.5507531.7895968.846408e-09
0.5534991.7892949.152964e-09
0.5562581.7889949.461048e-09
0.5590311.7886989.770667e-09
0.5618181.7884051.008183e-08
0.5646191.7881151.039454e-08
0.5674331.7878281.070882e-08
0.5702621.7875441.102466e-08
0.5731051.7872621.134207e-08
0.5759621.7869841.166107e-08
0.5788331.7867081.198166e-08
0.5817191.7864361.230384e-08
0.5846191.7861661.262763e-08
0.5875331.7858981.295304e-08
0.5904621.7856341.328007e-08
0.5934061.7853721.360872e-08
0.5963641.7851131.393902e-08
0.5993371.7848561.427096e-08
0.61.7847991.434500e-08
0.6023251.7846021.440061e-08
0.6053271.784351.447243e-08
0.6083451.7841011.454461e-08
0.6113781.7838541.461715e-08
0.6144261.783611.469006e-08
0.6174891.7833681.476333e-08
0.6205671.7831281.483696e-08
0.623661.7828911.491096e-08
0.6267691.7826551.498532e-08
0.6298941.7824231.506006e-08
0.6330341.7821921.513518e-08
0.636191.7819641.521066e-08
0.6393611.7817371.528652e-08
0.6425491.7815131.536276e-08
0.6457521.7812911.543938e-08
0.6489711.7810711.551639e-08
0.651.7810021.554100e-08
0.6522061.7808541.534734e-08
0.6554581.7806381.506193e-08
0.6587251.7804241.477511e-08
0.6620091.7802121.448685e-08
0.6653091.7800021.419716e-08
0.6686261.7797941.390602e-08
0.6719591.7795881.361344e-08
0.6753091.7793841.331939e-08
0.6786751.7791811.302388e-08
0.6820591.778981.272689e-08
0.6854591.7787821.242843e-08
0.6888761.7785841.212847e-08
0.692311.7783891.182702e-08
0.6957611.7781951.152407e-08
0.699231.7780031.121961e-08
0.71.7779611.115200e-08
0.7027161.7778131.119526e-08
0.7062191.7776241.125106e-08
0.7097391.7774371.130715e-08
0.7132771.7772521.136351e-08
0.7168331.7770681.142015e-08
0.7204071.7768861.147708e-08
0.7239981.7767051.153429e-08
0.7276071.7765261.159179e-08
0.7312351.7763481.164957e-08
0.734881.7761711.170764e-08
0.7385431.7759961.176600e-08
0.7422251.7758231.182465e-08
0.7459251.7756511.188359e-08
0.7496441.775481.194283e-08
0.7533811.7753111.200236e-08
0.7571371.7751431.206219e-08
0.7609111.7749761.212231e-08
0.7647041.7748111.218274e-08
0.7685161.7746471.224347e-08
0.7723481.7744841.230450e-08
0.7761981.7743221.236583e-08
0.7800671.7741621.242747e-08
0.7839561.7740031.248942e-08
0.7878641.7738451.255168e-08
0.7917921.7736881.261424e-08
0.7957391.7735321.267712e-08
0.7997061.7733781.274031e-08
0.81.7733661.274500e-08
0.8036931.7732241.306894e-08
0.8076991.7730721.342044e-08
0.8117261.7729211.377368e-08
0.8157721.772771.412869e-08
0.8198391.7726211.448546e-08
0.8239261.7724731.484402e-08
0.8280331.7723261.520436e-08
0.8321611.772181.556649e-08
0.836311.7720351.593044e-08
0.8404791.7718911.629619e-08
0.8446691.7717471.666378e-08
0.8488791.7716051.703319e-08
0.8531111.7714641.740444e-08
0.8573641.7713231.777755e-08
0.8616381.7711841.815251e-08
0.8659341.7710451.852935e-08
0.870251.7709071.890806e-08
0.8745891.770771.928866e-08
0.8789491.7706341.967116e-08
0.883331.7704982.005557e-08
0.8877341.7703642.044189e-08
0.8921591.770232.083014e-08
0.8966071.7700972.122032e-08
0.91.7699962.151800e-08
0.9010771.7699642.162972e-08
0.9055691.7698322.209585e-08
0.9100831.7697022.256431e-08
0.914621.7695712.303510e-08
0.9191791.7694422.350824e-08
0.9237621.7693132.398374e-08
0.9283671.7691852.446161e-08
0.9329951.7690572.494186e-08
0.9376461.768932.542451e-08
0.942321.7688042.590956e-08
0.9470181.7686782.639703e-08
0.9517391.7685532.688693e-08
0.9564831.7684282.737928e-08
0.9612521.7683042.787407e-08
0.9660441.7681812.837134e-08
0.9708591.7680582.887108e-08
0.9756991.7679352.937331e-08
0.9805631.7678132.987805e-08
0.9854521.7676923.038530e-08
0.9903641.7675713.089509e-08
0.9953011.767453.140741e-08
11.7673373.189500e-08
1.000261.767333.190339e-08
1.005251.7672113.206243e-08
1.010261.7670913.222227e-08
1.01531.7669733.238290e-08
1.020361.7668543.254433e-08
1.025451.7667363.270657e-08
1.030561.7666193.286962e-08
1.035691.7665013.303348e-08
1.040861.7663853.319815e-08
1.046051.7662683.336365e-08
1.051261.7661523.352997e-08
1.05651.7660363.369713e-08
1.061771.765923.386511e-08
1.067061.7658053.403393e-08
1.072381.765693.420360e-08
1.077731.7655753.437411e-08
1.08311.765463.454547e-08
1.08851.7653463.471768e-08
1.093931.7652323.489075e-08
1.099381.7651183.506469e-08
1.104861.7650043.523949e-08
1.110371.7648913.541517e-08
1.11591.7647773.559172e-08
1.121471.7646643.576915e-08
1.127061.7645513.594746e-08
1.132671.7644383.612666e-08
1.138321.7643253.630676e-08
1.1441.7642133.648775e-08
1.14971.76413.666965e-08
1.155431.7639883.685245e-08
1.161191.7638753.703617e-08
1.166981.7637633.722080e-08
1.17281.7636513.740635e-08
1.178641.7635383.759283e-08
1.184521.7634263.778023e-08
1.190421.7633143.796857e-08
1.196361.7632023.815785e-08
1.21.7631333.827400e-08
1.202321.763093.899914e-08
1.208321.7629774.087057e-08
1.214341.7628654.275132e-08
1.220391.7627534.464146e-08
1.226481.7626414.654101e-08
1.232591.7625284.845004e-08
1.238741.7624165.036858e-08
1.244911.7623035.229669e-08
1.251121.762195.423441e-08
1.257351.7620785.618179e-08
1.263621.7619655.813888e-08
1.269921.7618526.010572e-08
1.276251.7617386.208237e-08
1.282611.7616256.406887e-08
1.289011.7615116.606528e-08
1.295431.7613986.807164e-08
1.301891.7612847.008799e-08
1.308381.761177.211441e-08
1.314911.7610557.415092e-08
1.321461.7609417.619759e-08
1.328051.7608267.825445e-08
1.334671.760718.032158e-08
1.341321.7605958.239900e-08
1.348011.7604798.448679e-08
1.354731.7603638.658498e-08
1.361481.7602478.869363e-08
1.368271.760139.081279e-08
1.375091.7600139.294252e-08
1.381951.7598969.508287e-08
1.388831.7597789.723388e-08
1.395761.759669.939562e-08
1.41.7595881.007200e-07
1.402721.7595421.012648e-07
1.409711.7594231.026672e-07
1.416741.7593031.040765e-07
1.42381.7591841.054930e-07
1.43091.7590631.069164e-07
1.438031.7589431.083470e-07
1.44521.7588221.097847e-07
1.45241.75871.112296e-07
1.459641.7585781.126816e-07
1.466921.7584551.141410e-07
1.474231.7583321.156075e-07
1.481581.7582091.170814e-07
1.488971.7580841.185627e-07
1.496391.757961.200513e-07
1.503851.7578341.215474e-07
1.511351.7577081.230509e-07
1.518881.7575821.245619e-07
1.526451.7574551.260804e-07
1.534061.7573271.276065e-07
1.541711.7571981.291402e-07
1.54941.7570691.306816e-07
1.557121.7569391.322306e-07
1.564881.7568091.337874e-07
1.572681.7566781.353519e-07
1.580521.7565461.369242e-07
1.58841.7564131.385044e-07
1.596321.7562791.400924e-07
1.61.7562171.408300e-07
1.604281.7561451.436964e-07
1.612281.756011.490524e-07
1.620321.7558751.544351e-07
1.628391.7557381.598446e-07
1.636511.7556011.652810e-07
1.644671.7554621.707446e-07
1.652871.7553231.762354e-07
1.661111.7551831.817536e-07
1.669391.7550421.872993e-07
1.677711.75491.928726e-07
1.686071.7547581.984738e-07
1.694481.7546142.041028e-07
1.702931.7544692.097599e-07
1.711421.7543242.154452e-07
1.719951.7541772.211589e-07
1.728521.754032.269010e-07
1.737141.7538812.326718e-07
1.74581.7537312.384713e-07
1.75451.753582.442997e-07
1.763251.7534292.501572e-07
1.772041.7532762.560439e-07
1.780871.7531222.619600e-07
1.789751.7529662.679055e-07
1.798671.752812.738807e-07
1.81.7527872.747700e-07
1.807641.7526532.909927e-07
1.816651.7524943.101305e-07
1.825711.7523343.293637e-07
1.834811.7521733.486929e-07
1.843951.7520113.681183e-07
1.853151.7518473.876407e-07
1.862391.7516824.072603e-07
1.871671.7515164.269777e-07
1.8811.7513484.467935e-07
1.890381.7511794.667080e-07
1.89981.7510094.867218e-07
1.909271.7508375.068354e-07
1.918791.7506645.270492e-07
1.928351.750495.473638e-07
1.937971.7503145.677797e-07
1.947631.7501375.882974e-07
1.957341.7499586.089173e-07
1.96711.7497776.296401e-07
1.97691.7495956.504661e-07
1.986761.7494126.713960e-07
1.996661.7492276.924302e-07
21.7491646.995200e-07
2.006621.749047.438649e-07
2.016621.7488528.109208e-07
2.026671.7486628.783110e-07
2.036771.748479.460372e-07
2.046931.7482771.014101e-06
2.057131.7480811.082504e-06
2.067391.7478851.151248e-06
2.077691.7476861.220335e-06
2.088051.7474861.289766e-06
2.098461.7472831.359543e-06
2.108921.7470791.429668e-06
2.119441.7468731.500143e-06
2.131.7466651.570969e-06
2.140621.7464561.642148e-06
2.151291.7462441.713682e-06
2.162021.746031.785573e-06
2.172791.7458141.857822e-06
2.183621.7455961.930431e-06
2.194511.7453772.003402e-06
2.21.7452652.040200e-06
2.205451.7451552.185331e-06
2.216451.744932.478082e-06
2.227491.7447042.772291e-06
2.23861.7444763.067968e-06
2.249761.7442453.365118e-06
2.260971.7440123.663750e-06
2.272251.7437773.963870e-06
2.283571.7435394.265487e-06
2.294961.7432994.568607e-06
2.30641.7430574.873238e-06
2.317891.7428135.179388e-06
2.329451.7425655.487064e-06
2.341061.7423165.796274e-06
2.352731.7420646.107026e-06
2.364461.7418096.419326e-06
2.376251.7415526.733184e-06
2.38811.7412927.048606e-06
2.41.741037.365600e-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
—