Optical constants

Refractive index of S-LAH53 (OHARA)

S-LAH53: n,k 0.34–2.4 µm

Data
formula 2 + tabulated k
Range
0.34–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.34–2.4 µm
Refractive index n
1.80609
Extinction coefficient k
1.87414e-08
Permittivity ε1
3.26198
Permittivity ε2
6.76976e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
40.926
Chromatic dispersion dn/dλ
-0.10048 µm⁻¹
Group index ng
1.86514
Group velocity dispersion
189.294 fs²/mm
Dispersion parameter D
-1032.7 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-LAH53 (OHARA): S-LAH53
ohara_s_lah53 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAH53", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lah53.range_nm)  # (340, 2400) nm
eps = ohara_s_lah53.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=1.91811619λ2λ2−0.0102147684+0.253724399λ2λ2−0.0433176011+1.39473885λ2λ2−101.938021

Valid from 0.34 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.91811619
C30.0102147684
C40.253724399
C50.0433176011
C61.39473885
C7101.938021

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 5.52e-06 1.63e-08 2.71e-12 8.93e-07 5.67e-10 0.188
nd
1.806098
Vd
40.925996
glass code
806409
density
value: 4430
thermal expansion
value: 5.9e-06, temperature range: 243 343; value: 7e-06, temperature range: 293 573
dPgF
-0.0052
resistance
acid: 4.2; climatic: 1.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 4.97e-06 K⁻¹ at 633 nm, dn/dT = 3.68e-06 K⁻¹ at 1310 nm, dn/dT = 3.57e-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 424 wavelengths, the same grid as the API and the library
S-LAH53 (OHARA), S-LAH53: n and k versus wavelength
λ (µm)nk
0.341.8730277.612100e-06
0.3416691.8718636.791230e-06
0.3433471.8707185.966330e-06
0.3450331.8695915.137379e-06
0.3467271.8684824.304359e-06
0.3484291.867393.467248e-06
0.351.8664032.694900e-06
0.350141.8663162.674439e-06
0.3518591.8652582.423303e-06
0.3535871.8642162.170933e-06
0.3553231.8631911.917324e-06
0.3570681.862181.662470e-06
0.3588211.8611861.406364e-06
0.361.8605281.234100e-06
0.3605831.8602061.200482e-06
0.3623531.859241.098314e-06
0.3641321.8582899.956432e-07
0.365921.8573528.924686e-07
0.3677171.8564297.887875e-07
0.3695221.8555196.845973e-07
0.371.8552816.570200e-07
0.3713361.8546236.208741e-07
0.373161.8537395.715626e-07
0.3749921.8528685.220090e-07
0.3768331.8520094.722121e-07
0.3786831.8511624.221706e-07
0.381.850573.865600e-07
0.3805431.8503283.787133e-07
0.3824111.8495053.516955e-07
0.3842891.8486933.245451e-07
0.3861761.8478932.972614e-07
0.3880721.8471032.698438e-07
0.3899771.8463252.422915e-07
0.391.8463162.419600e-07
0.3918921.8455572.289781e-07
0.3938161.84482.157745e-07
0.395751.8440532.025060e-07
0.3976931.8433151.891723e-07
0.3996451.8425881.757732e-07
0.41.8424571.733400e-07
0.4016081.8418711.678668e-07
0.403581.8411621.611535e-07
0.4055611.8404641.544073e-07
0.4075521.8397741.476280e-07
0.4095531.8390941.408153e-07
0.4115641.8384221.339693e-07
0.4135851.8377591.270896e-07
0.4156161.8371051.201761e-07
0.4176561.8364591.132287e-07
0.4197071.8358211.062472e-07
0.421.8357311.052500e-07
0.4217681.8351921.025154e-07
0.4238391.834579.931211e-08
0.425921.8339569.609307e-08
0.4280111.833359.285822e-08
0.4301121.8327528.960750e-08
0.4322241.8321618.634081e-08
0.4343471.8315788.305808e-08
0.4364791.8310017.975923e-08
0.4386221.8304327.644419e-08
0.441.8300727.431300e-08
0.4407761.829877.357636e-08
0.442941.8293157.152157e-08
0.4451151.8287666.945669e-08
0.44731.8282256.738168e-08
0.4494971.827696.529647e-08
0.4517041.8271616.320103e-08
0.4539211.8266396.109530e-08
0.456151.8261225.897922e-08
0.458391.8256135.685276e-08
0.461.8252515.532400e-08
0.4606411.8251095.490529e-08
0.4629021.8246115.342680e-08
0.4651751.8241195.194106e-08
0.4674591.8236335.044801e-08
0.4697541.8231534.894764e-08
0.4720611.8226784.743990e-08
0.4743791.8222094.592475e-08
0.4767081.8217454.440217e-08
0.4790481.8212874.287211e-08
0.481.8211024.225000e-08
0.48141.8208344.124869e-08
0.4837641.8203863.955868e-08
0.4861391.8199433.786037e-08
0.4885261.8195053.615372e-08
0.4909251.8190733.443869e-08
0.4933351.8186453.271524e-08
0.4957581.8182223.098333e-08
0.4981921.8178042.924291e-08
0.51.8174982.795000e-08
0.5006381.8173912.781723e-08
0.5030961.8169822.730555e-08
0.5055661.8165782.679136e-08
0.5080481.8161792.627464e-08
0.5105431.8157842.575539e-08
0.513051.8153932.523358e-08
0.5155691.8150072.470922e-08
0.51811.8146242.418228e-08
0.5206441.8142462.365275e-08
0.52321.8138732.312062e-08
0.5257691.8135032.258588e-08
0.5283511.8131372.204852e-08
0.5309451.8127762.150851e-08
0.5335521.8124182.096586e-08
0.5361721.8120642.042054e-08
0.5388041.8117141.987254e-08
0.541451.8113681.932185e-08
0.5441081.8110251.876846e-08
0.546781.8106861.821235e-08
0.5494641.8103511.765351e-08
0.551.8102841.754200e-08
0.5521621.8100191.761097e-08
0.5548731.809691.769746e-08
0.5575981.8093661.778437e-08
0.5603351.8090441.787170e-08
0.5630871.8087261.795946e-08
0.5658511.8084111.804766e-08
0.568631.80811.813629e-08
0.5714221.8077921.822535e-08
0.5742271.8074861.831485e-08
0.5770471.8071851.840479e-08
0.579881.8068861.849517e-08
0.5827271.806591.858600e-08
0.5855881.8062971.867727e-08
0.5884641.8060071.876899e-08
0.5913531.8057211.886116e-08
0.5942561.8054371.895378e-08
0.5971741.8051561.904686e-08
0.61.8048871.913700e-08
0.6001061.8048771.912936e-08
0.6030531.8046021.891745e-08
0.6060141.8043291.870449e-08
0.6089891.8040591.849049e-08
0.6119791.8037921.827545e-08
0.6149841.8035271.805934e-08
0.6180041.8032651.784218e-08
0.6210381.8030051.762394e-08
0.6240871.8027481.740464e-08
0.6271521.8024941.718426e-08
0.6302311.8022421.696280e-08
0.6333251.8019921.674025e-08
0.6364351.8017451.651661e-08
0.639561.80151.629187e-08
0.64271.8012571.606602e-08
0.6458561.8010171.583907e-08
0.6490271.8007791.561100e-08
0.651.8007071.554100e-08
0.6522131.8005431.534671e-08
0.6554161.800311.506561e-08
0.6586341.8000781.478313e-08
0.6618681.7998491.449926e-08
0.6651171.7996221.421400e-08
0.6683831.7993971.392733e-08
0.6716651.7991741.363926e-08
0.6749631.7989531.334978e-08
0.6782771.7987341.305887e-08
0.6816071.7985181.276654e-08
0.6849541.7983031.247277e-08
0.6883171.798091.217756e-08
0.6916961.7978791.188090e-08
0.6950931.7976691.158278e-08
0.6985051.7974621.128320e-08
0.71.7973721.115200e-08
0.7019351.7972561.118283e-08
0.7053821.7970531.123773e-08
0.7088451.7968511.129290e-08
0.7123251.7966511.134834e-08
0.7158231.7964521.140406e-08
0.7193371.7962551.146005e-08
0.7228691.796061.151631e-08
0.7264191.7958671.157285e-08
0.7299851.7956751.162967e-08
0.7335691.7954851.168676e-08
0.7371711.7952961.174414e-08
0.7407911.7951091.180180e-08
0.7444281.7949241.185974e-08
0.7480831.794741.191796e-08
0.7517561.7945571.197648e-08
0.7554471.7943761.203527e-08
0.7591561.7941971.209436e-08
0.7628841.7940181.215374e-08
0.766631.7938421.221341e-08
0.7703941.7936661.227337e-08
0.7741761.7934931.233363e-08
0.7779781.793321.239418e-08
0.7817971.7931491.245503e-08
0.7856361.7929791.251618e-08
0.7894931.792811.257763e-08
0.793371.7926431.263938e-08
0.7972651.7924771.270143e-08
0.81.7923611.274500e-08
0.801181.7923121.267918e-08
0.8051131.7921481.245970e-08
0.8090671.7919861.223914e-08
0.8130391.7918251.201750e-08
0.8170311.7916641.179477e-08
0.8210431.7915051.157095e-08
0.8250741.7913481.134603e-08
0.8291251.7911911.112000e-08
0.8331961.7910351.089287e-08
0.8372871.7908811.066462e-08
0.8413981.7907271.043525e-08
0.8455291.7905751.020475e-08
0.8496811.7904239.973119e-09
0.8538531.7902739.740352e-09
0.8580451.7901239.506442e-09
0.8622581.7899759.271384e-09
0.8664921.7898279.035172e-09
0.8707461.7896818.797800e-09
0.8750211.7895358.559263e-09
0.8793181.7893918.319554e-09
0.8836351.7892478.078669e-09
0.8879741.7891047.836600e-09
0.8923341.7889627.593344e-09
0.8967151.788827.348892e-09
0.91.7887157.165600e-09
0.9011181.788687.174498e-09
0.9055421.788547.209721e-09
0.9099881.7884017.245117e-09
0.9144561.7882637.280687e-09
0.9189461.7881267.316431e-09
0.9234581.787997.352351e-09
0.9279921.7878547.388447e-09
0.9325491.7877197.424721e-09
0.9371281.7875847.461172e-09
0.9417291.7874517.497803e-09
0.9463531.7873187.534613e-09
0.9509991.7871857.571604e-09
0.9556691.7870547.608777e-09
0.9603611.7869237.646133e-09
0.9650761.7867927.683671e-09
0.9698151.7866627.721394e-09
0.9745761.7865337.759303e-09
0.9793621.7864047.797397e-09
0.984171.7862767.835678e-09
0.9890021.7861497.874148e-09
0.9938581.7860227.912806e-09
0.9987381.7858957.951654e-09
11.7858637.961700e-09
1.003641.785777.990697e-09
1.008571.7856448.029932e-09
1.013521.7855198.069360e-09
1.01851.7853958.108982e-09
1.02351.7852718.148798e-09
1.028521.7851478.188810e-09
1.033571.7850248.229018e-09
1.038651.7849018.269424e-09
1.043751.7847798.310027e-09
1.048871.7846578.350831e-09
1.054021.7845358.391835e-09
1.05921.7844148.433040e-09
1.06441.7842938.474447e-09
1.069631.7841738.516057e-09
1.074881.7840538.557872e-09
1.080151.7839338.599893e-09
1.085461.7838138.642119e-09
1.090791.7836948.684553e-09
1.096141.7835758.727195e-09
1.101531.7834578.770047e-09
1.106931.7833388.813109e-09
1.112371.783228.856382e-09
1.117831.7831028.899868e-09
1.123321.7829848.943568e-09
1.128831.7828678.987482e-09
1.134381.7827499.031611e-09
1.139951.7826329.075958e-09
1.145541.7825159.120522e-09
1.151171.7823989.165304e-09
1.156821.7822829.210307e-09
1.16251.7821659.255531e-09
1.168211.7820499.300977e-09
1.173941.7819329.346645e-09
1.179711.7818169.392539e-09
1.18551.78179.438657e-09
1.191321.7815849.485002e-09
1.197171.7814689.531574e-09
1.21.7814129.554100e-09
1.203051.7813529.918731e-09
1.208961.7812361.062517e-08
1.214891.781121.133507e-08
1.220861.7810041.204846e-08
1.226851.7808881.276535e-08
1.232871.7807721.348576e-08
1.238931.7806561.420971e-08
1.245011.780541.493721e-08
1.251121.7804241.566829e-08
1.257271.7803081.640295e-08
1.263441.7801921.714122e-08
1.269641.7800761.788312e-08
1.275881.7799591.862866e-08
1.282141.7798431.937786e-08
1.288441.7797262.013074e-08
1.294761.7796092.088731e-08
1.301121.7794922.164760e-08
1.307511.7793752.241163e-08
1.313931.7792582.317940e-08
1.320381.7791412.395095e-08
1.326861.7790232.472628e-08
1.333381.7789052.550542e-08
1.339931.7787872.628838e-08
1.34651.7786692.707519e-08
1.353121.778552.786586e-08
1.359761.7784312.866042e-08
1.366441.7783122.945887e-08
1.373141.7781933.026125e-08
1.379891.7780733.106756e-08
1.386661.7779533.187784e-08
1.393471.7778333.269209e-08
1.41.7777183.347300e-08
1.400311.7777123.350041e-08
1.407191.7775913.410405e-08
1.41411.777473.471064e-08
1.421041.7773483.532022e-08
1.428021.7772263.593278e-08
1.435031.7771043.654836e-08
1.442071.7769813.716695e-08
1.449161.7768573.778859e-08
1.456271.7767343.841328e-08
1.463421.7766093.904103e-08
1.470611.7764853.967187e-08
1.477831.7763594.030580e-08
1.485081.7762344.094285e-08
1.492371.7761074.158302e-08
1.49971.7759814.222634e-08
1.507071.7758534.287281e-08
1.514471.7757264.352246e-08
1.52191.7755974.417530e-08
1.529371.7754684.483135e-08
1.536881.7753394.549061e-08
1.544431.7752094.615312e-08
1.552011.7750784.681887e-08
1.559631.7749464.748790e-08
1.567291.7748144.816021e-08
1.574991.7746824.883582e-08
1.582721.7745484.951475e-08
1.590491.7744145.019701e-08
1.59831.7742795.088262e-08
1.61.774255.103200e-08
1.606151.7741445.433271e-08
1.614031.7740085.856786e-08
1.621961.7738716.282381e-08
1.629921.7737336.710065e-08
1.637921.7735947.139850e-08
1.645971.7734557.571744e-08
1.654051.7733158.005760e-08
1.662171.7731748.441906e-08
1.670331.7730328.880194e-08
1.678531.7728899.320633e-08
1.686771.7727469.763235e-08
1.695051.7726011.020801e-07
1.703381.7724561.065497e-07
1.711741.772311.110412e-07
1.720151.7721631.155548e-07
1.728591.7720141.200906e-07
1.737081.7718651.246486e-07
1.745611.7717151.292290e-07
1.754181.7715641.338319e-07
1.762791.7714121.384574e-07
1.771451.7712591.431056e-07
1.780141.7711041.477766e-07
1.788881.7709491.524706e-07
1.797671.7707931.571876e-07
1.81.7707511.584400e-07
1.806491.7706351.695698e-07
1.815361.7704761.847704e-07
1.824281.7703172.000457e-07
1.833231.7701562.153959e-07
1.842241.7699942.308216e-07
1.851281.769832.463229e-07
1.860371.7696662.619004e-07
1.869511.76952.775544e-07
1.878681.7693332.932852e-07
1.887911.7691643.090933e-07
1.897181.7689953.249790e-07
1.906491.7688243.409427e-07
1.915851.7686513.569847e-07
1.925261.7684783.731056e-07
1.934711.7683023.893055e-07
1.944211.7681264.055851e-07
1.953761.7679484.219445e-07
1.963351.7677694.383843e-07
1.972991.7675884.549048e-07
1.982681.7674064.715064e-07
1.992411.7672224.881895e-07
21.7670785.011900e-07
2.00221.7670365.127667e-07
2.012031.766855.645750e-07
2.021911.7666616.166376e-07
2.031831.7664716.689559e-07
2.041811.7662797.215310e-07
2.051841.7660867.743643e-07
2.061911.7658918.274570e-07
2.072031.7656948.808104e-07
2.082211.7654969.344257e-07
2.092431.7652969.883043e-07
2.10271.7650941.042447e-06
2.113031.764891.096856e-06
2.12341.7646841.151533e-06
2.133831.7644771.206477e-06
2.144311.7642681.261691e-06
2.154831.7640571.317177e-06
2.165411.7638441.372935e-06
2.176051.7636291.428966e-06
2.186731.7634121.485273e-06
2.197471.7631931.541856e-06
2.21.7631411.555200e-06
2.208261.7629721.750027e-06
2.21911.7627492.005844e-06
2.231.7625232.262917e-06
2.240941.7622962.521252e-06
2.251951.7620672.780855e-06
2.2631.7618353.041733e-06
2.274121.7616013.303892e-06
2.285281.7613653.567338e-06
2.29651.7611273.832078e-06
2.307781.7608864.098117e-06
2.319111.7606434.365463e-06
2.33051.7603984.634121e-06
2.341941.760154.904099e-06
2.353441.75995.175402e-06
2.364991.7596485.448037e-06
2.37661.7593935.722010e-06
2.388271.7591355.997329e-06
2.41.7588756.274000e-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
—