Optical constants

Refractive index of S-LAM51 (OHARA)

S-LAM51: 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
1.7
Extinction coefficient k
1.76522e-08
Permittivity ε1
2.88998
Permittivity ε2
6.00174e-08
Absorption coefficient α
0.00377509 cm⁻¹
Penetration depth δ = λ/(2πk)
5.29788e+09 nm
Abbe number Vd
48.08
Chromatic dispersion dn/dλ
-0.0746274 µm⁻¹
Group index ng
1.74385
Group velocity dispersion
137.145 fs²/mm
Dispersion parameter D
-748.198 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-LAM51 (OHARA): S-LAM51
ohara_s_lam51 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAM51", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lam51.range_nm)  # (340, 2400) nm
eps = ohara_s_lam51.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=1.638472λ2λ2−0.00904853452+0.188330533λ2λ2−0.0372740173+1.47502357λ2λ2−137.77005

Valid from 0.34 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.638472
C30.00904853452
C40.188330533
C50.0372740173
C61.47502357
C7137.77005

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 1.39e-06 1.16e-08 -3.52e-11 4.18e-07 3.81e-10 0.279
nd
1.699998
Vd
48.080479
glass code
700481
glass status
special
density
value: 3790
thermal expansion
value: 7.1e-06, temperature range: 243 343; value: 8e-06, temperature range: 293 573
dPgF
-0.0041
resistance
acid: 51.2; climatic: 2.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 1.49e-06 K⁻¹ at 633 nm, dn/dT = 8.92e-07 K⁻¹ at 1310 nm, dn/dT = 8.47e-07 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-LAM51 (OHARA), S-LAM51: n and k versus wavelength
λ (µm)nk
0.341.7476645.319600e-06
0.3416691.7468724.802825e-06
0.3433471.7460924.283513e-06
0.3450331.7453233.761651e-06
0.3467271.7445653.237227e-06
0.3484291.7438172.710228e-06
0.351.743142.224000e-06
0.350141.743082.207161e-06
0.3518591.7423532.000482e-06
0.3535871.7416361.792789e-06
0.3553231.7409291.584075e-06
0.3570681.7402321.374337e-06
0.3588211.7395441.163569e-06
0.361.7390891.021800e-06
0.3605831.7388669.921810e-07
0.3623531.7381979.021646e-07
0.3641321.7375368.117061e-07
0.365921.7368857.208035e-07
0.3677171.7362426.294546e-07
0.3695221.7356085.376572e-07
0.371.7354425.133600e-07
0.3713361.7349824.810938e-07
0.373161.7343644.370752e-07
0.3749921.7337553.928405e-07
0.3768331.7331533.483885e-07
0.3786831.7325593.037184e-07
0.381.7321432.719300e-07
0.3805431.7319732.661671e-07
0.3824111.7313942.463242e-07
0.3842891.7308232.263838e-07
0.3861761.7302592.063456e-07
0.3880721.7297021.862089e-07
0.3899771.7291531.659734e-07
0.391.7291461.657300e-07
0.3918921.728611.552075e-07
0.3938161.7280741.445053e-07
0.395751.7275451.337505e-07
0.3976931.7270221.229429e-07
0.3996451.7265061.120823e-07
0.41.7264131.101100e-07
0.4016081.7259961.066868e-07
0.403581.7254931.024879e-07
0.4055611.7249959.826852e-08
0.4075521.7245049.402837e-08
0.4095531.7240198.976740e-08
0.4115641.723548.548552e-08
0.4135851.7230668.118261e-08
0.4156161.7225987.685857e-08
0.4176561.7221367.251330e-08
0.4197071.721686.814670e-08
0.421.7216156.752300e-08
0.4217681.7212296.623212e-08
0.4238391.7207836.471998e-08
0.425921.7203426.320041e-08
0.4280111.7199076.167339e-08
0.4301121.7194776.013886e-08
0.4322241.7190525.859680e-08
0.4343471.7186325.704717e-08
0.4364791.7182175.548993e-08
0.4386221.7178075.392504e-08
0.441.7175475.291900e-08
0.4407761.7174015.243681e-08
0.442941.7175.109176e-08
0.4451151.7166044.974011e-08
0.44731.7162134.838183e-08
0.4494971.7158264.701688e-08
0.4517041.7154434.564522e-08
0.4539211.7150654.426683e-08
0.456151.7146914.288167e-08
0.458391.7143214.148971e-08
0.461.7140594.048900e-08
0.4606411.7139554.017489e-08
0.4629021.7135943.906574e-08
0.4651751.7132363.795115e-08
0.4674591.7128833.683108e-08
0.4697541.7125343.570551e-08
0.4720611.7121883.457442e-08
0.4743791.7118473.343777e-08
0.4767081.7115093.229554e-08
0.4790481.7111753.114770e-08
0.481.711043.068100e-08
0.48141.7108442.992918e-08
0.4837641.7105172.866025e-08
0.4861391.7101942.738509e-08
0.4885261.7098742.610367e-08
0.4909251.7095582.481596e-08
0.4933351.7092452.352193e-08
0.4957581.7089362.222154e-08
0.4981921.708632.091477e-08
0.51.7084061.994400e-08
0.5006381.7083271.985733e-08
0.5030961.7080281.952332e-08
0.5055661.7077321.918768e-08
0.5080481.7074391.885038e-08
0.5105431.7071491.851143e-08
0.513051.7068621.817081e-08
0.5155691.7065781.782852e-08
0.51811.7062971.748455e-08
0.5206441.7060191.713890e-08
0.52321.7057451.679154e-08
0.5257691.7054721.644248e-08
0.5283511.7052031.609170e-08
0.5309451.7049371.573921e-08
0.5335521.7046731.538498e-08
0.5361721.7044121.502901e-08
0.5388041.7041541.467130e-08
0.541451.7038991.431183e-08
0.5441081.7036461.395059e-08
0.546781.7033961.358758e-08
0.5494641.7031481.322279e-08
0.551.7030991.315000e-08
0.5521621.7029031.340890e-08
0.5548731.702661.373352e-08
0.5575981.702421.405974e-08
0.5603351.7021821.438756e-08
0.5630871.7019471.471700e-08
0.5658511.7017141.504804e-08
0.568631.7014831.538072e-08
0.5714221.7012541.571503e-08
0.5742271.7010281.605098e-08
0.5770471.7008041.638857e-08
0.579881.7005831.672783e-08
0.5827271.7003631.706875e-08
0.5855881.7001461.741135e-08
0.5884641.6999311.775563e-08
0.5913531.6997181.810159e-08
0.5942561.6995071.844926e-08
0.5971741.6992981.879864e-08
0.61.6990981.913700e-08
0.6001061.6990911.914039e-08
0.6030531.6988861.923438e-08
0.6060141.6986831.932884e-08
0.6089891.6984821.942376e-08
0.6119791.6982821.951914e-08
0.6149841.6980851.961499e-08
0.6180041.697891.971132e-08
0.6210381.6976961.980811e-08
0.6240871.6975051.990539e-08
0.6271521.6973152.000313e-08
0.6302311.6971272.010136e-08
0.6333251.696942.020008e-08
0.6364351.6967552.029927e-08
0.639561.6965732.039895e-08
0.64271.6963912.049913e-08
0.6458561.6962122.059979e-08
0.6490271.6960342.070095e-08
0.651.6959792.073200e-08
0.6522131.6958572.055511e-08
0.6554161.6956822.029918e-08
0.6586341.6955092.004199e-08
0.6618681.6953381.978354e-08
0.6651171.6951671.952382e-08
0.6683831.6949991.926283e-08
0.6716651.6948321.900055e-08
0.6749631.6946661.873699e-08
0.6782771.6945021.847213e-08
0.6816071.6943391.820597e-08
0.6849541.6941781.793850e-08
0.6883171.6940181.766973e-08
0.6916961.6938591.739963e-08
0.6950931.6937021.712820e-08
0.6985051.6935461.685545e-08
0.71.6934781.673600e-08
0.7019351.6933921.678227e-08
0.7053821.6932381.686467e-08
0.7088451.6930861.694748e-08
0.7123251.6929361.703070e-08
0.7158231.6927861.711432e-08
0.7193371.6926381.719836e-08
0.7228691.6924911.728281e-08
0.7264191.6923451.736767e-08
0.7299851.69221.745295e-08
0.7335691.6920571.753865e-08
0.7371711.6919151.762477e-08
0.7407911.6917731.771131e-08
0.7444281.6916331.779827e-08
0.7480831.6914941.788567e-08
0.7517561.6913561.797349e-08
0.7554471.691221.806174e-08
0.7591561.6910841.815043e-08
0.7628841.6909491.823955e-08
0.766631.6908151.832911e-08
0.7703941.6906831.841911e-08
0.7741761.6905511.850956e-08
0.7779781.690421.860044e-08
0.7817971.690291.869177e-08
0.7856361.6901621.878356e-08
0.7894931.6900341.887579e-08
0.793371.6899071.896847e-08
0.7972651.6897811.906161e-08
0.81.6896931.912700e-08
0.801181.6896561.915521e-08
0.8051131.6895311.924926e-08
0.8090671.6894081.934378e-08
0.8130391.6892851.943876e-08
0.8170311.6891641.953421e-08
0.8210431.6890431.963013e-08
0.8250741.6889231.972652e-08
0.8291251.6888031.982338e-08
0.8331961.6886851.992071e-08
0.8372871.6885672.001853e-08
0.8413981.688452.011682e-08
0.8455291.6883342.021560e-08
0.8496811.6882182.031486e-08
0.8538531.6881042.041461e-08
0.8580451.6879892.051485e-08
0.8622581.6878762.061559e-08
0.8664921.6877632.071681e-08
0.8707461.6876512.081854e-08
0.8750211.687542.092076e-08
0.8793181.6874292.102348e-08
0.8836351.6873192.112671e-08
0.8879741.687212.123045e-08
0.8923341.6871012.133469e-08
0.8967151.6869932.143945e-08
0.91.6869122.151800e-08
0.9011181.6868852.163398e-08
0.9055421.6867782.209311e-08
0.9099881.6866722.255448e-08
0.9144561.6865662.301813e-08
0.9189461.686462.348405e-08
0.9234581.6863562.395226e-08
0.9279921.6862512.442277e-08
0.9325491.6861472.489558e-08
0.9371281.6860442.537072e-08
0.9417291.6859412.584820e-08
0.9463531.6858392.632801e-08
0.9509991.6857372.681018e-08
0.9556691.6856362.729472e-08
0.9603611.6855352.778164e-08
0.9650761.6854342.827095e-08
0.9698151.6853342.876267e-08
0.9745761.6852342.925679e-08
0.9793621.6851352.975334e-08
0.984171.6850363.025233e-08
0.9890021.6849383.075378e-08
0.9938581.684843.125768e-08
0.9987381.6847423.176405e-08
11.6847173.189500e-08
1.003641.6846453.201116e-08
1.008571.6845473.216833e-08
1.013521.6844513.232628e-08
1.01851.6843543.248500e-08
1.02351.6842583.264450e-08
1.028521.6841623.280478e-08
1.033571.6840673.296585e-08
1.038651.6839723.312771e-08
1.043751.6838773.329037e-08
1.048871.6837823.345382e-08
1.054021.6836883.361808e-08
1.05921.6835933.378314e-08
1.06441.6834993.394901e-08
1.069631.6834063.411570e-08
1.074881.6833123.428321e-08
1.080151.6832193.445154e-08
1.085461.6831263.462069e-08
1.090791.6830333.479068e-08
1.096141.682943.496150e-08
1.101531.6828483.513316e-08
1.106931.6827553.530566e-08
1.112371.6826633.547901e-08
1.117831.6825713.565321e-08
1.123321.6824793.582827e-08
1.128831.6823873.600418e-08
1.134381.6822953.618096e-08
1.139951.6822033.635861e-08
1.145541.6821123.653713e-08
1.151171.682023.671652e-08
1.156821.6819293.689680e-08
1.16251.6818373.707796e-08
1.168211.6817463.726001e-08
1.173941.6816553.744296e-08
1.179711.6815633.762680e-08
1.18551.6814723.781155e-08
1.191321.6813813.799720e-08
1.197171.681293.818376e-08
1.21.6812463.827400e-08
1.203051.6811993.854185e-08
1.208961.6811073.906077e-08
1.214891.6810163.958224e-08
1.220861.6809254.010627e-08
1.226851.6808344.063287e-08
1.232871.6807424.116206e-08
1.238931.6806514.169385e-08
1.245011.6805594.222825e-08
1.251121.6804684.276527e-08
1.257271.6803764.330493e-08
1.263441.6802844.384724e-08
1.269641.6801924.439221e-08
1.275881.68014.493986e-08
1.282141.6800084.549020e-08
1.288441.6799164.604324e-08
1.294761.6798244.659899e-08
1.301121.6797314.715747e-08
1.307511.6796384.771870e-08
1.313931.6795454.828268e-08
1.320381.6794524.884943e-08
1.326861.6793594.941896e-08
1.333381.6792664.999129e-08
1.339931.6791725.056643e-08
1.34651.6790785.114439e-08
1.353121.6789845.172519e-08
1.359761.678895.230884e-08
1.366441.6787955.289536e-08
1.373141.67875.348476e-08
1.379891.6786055.407705e-08
1.386661.678515.467225e-08
1.393471.6784145.527037e-08
1.41.6783225.584400e-08
1.400311.6783185.585646e-08
1.407191.6782215.613072e-08
1.41411.6781255.640633e-08
1.421041.6780285.668329e-08
1.428021.6779315.696161e-08
1.435031.6778335.724130e-08
1.442071.6777355.752236e-08
1.449161.6776365.780480e-08
1.456271.6775385.808863e-08
1.463421.6774385.837386e-08
1.470611.6773395.866048e-08
1.477831.6772395.894851e-08
1.485081.6771385.923795e-08
1.492371.6770385.952882e-08
1.49971.6769365.982111e-08
1.507071.6768356.011484e-08
1.514471.6767326.041001e-08
1.52191.676636.070663e-08
1.529371.6765266.100471e-08
1.536881.6764236.130425e-08
1.544431.6763196.160526e-08
1.552011.6762146.190775e-08
1.559631.6761096.221172e-08
1.567291.6760036.251719e-08
1.574991.6758976.282416e-08
1.582721.675796.313263e-08
1.590491.6756826.344262e-08
1.59831.6755746.375413e-08
1.61.6755516.382200e-08
1.606151.6754656.672966e-08
1.614031.6753567.046050e-08
1.621961.6752467.420966e-08
1.629921.6751367.797722e-08
1.637921.6750258.176328e-08
1.645971.6749138.556794e-08
1.654051.67488.939127e-08
1.662171.6746879.323337e-08
1.670331.6745739.709434e-08
1.678531.6744591.009743e-07
1.686771.6743431.048732e-07
1.695051.6742271.087914e-07
1.703381.6741111.127287e-07
1.711741.6739931.166854e-07
1.720151.6738751.206615e-07
1.728591.6737561.246572e-07
1.737081.6736361.286724e-07
1.745611.6735151.327074e-07
1.754181.6733941.367622e-07
1.762791.6732711.408369e-07
1.771451.6731481.449316e-07
1.780141.6730241.490464e-07
1.788881.6728991.531814e-07
1.797671.6727731.573367e-07
1.81.672741.584400e-07
1.806491.6726471.637362e-07
1.815361.6725191.709695e-07
1.824281.672391.782383e-07
1.833231.6722611.855429e-07
1.842241.6721311.928833e-07
1.851281.6719992.002597e-07
1.860371.6718672.076724e-07
1.869511.6717332.151214e-07
1.878681.6715992.226071e-07
1.887911.6714632.301294e-07
1.897181.6713272.376887e-07
1.906491.6711892.452852e-07
1.915851.6710512.529189e-07
1.925261.6709112.605901e-07
1.934711.670772.682990e-07
1.944211.6706282.760457e-07
1.953761.6704852.838305e-07
1.963351.6703412.916535e-07
1.972991.6701952.995149e-07
1.982681.6700493.074149e-07
1.992411.6699013.153536e-07
21.6697853.215400e-07
2.00221.6697523.276692e-07
2.012031.6696013.550988e-07
2.021911.669453.826631e-07
2.031831.6692974.103627e-07
2.041811.6691434.381984e-07
2.051841.6689874.661707e-07
2.061911.6688314.942803e-07
2.072031.6686725.225280e-07
2.082211.6685135.509143e-07
2.092431.6683525.794401e-07
2.10271.668196.081059e-07
2.113031.6680266.369124e-07
2.12341.6678616.658604e-07
2.133831.6676946.949505e-07
2.144311.6675267.241834e-07
2.154831.6673577.535599e-07
2.165411.6671867.830806e-07
2.176051.6670138.127463e-07
2.186731.6668398.425576e-07
2.197471.6666638.725153e-07
2.21.6666228.795800e-07
2.208261.6664869.714166e-07
2.21911.6663071.092002e-06
2.231.6661261.213179e-06
2.240941.6659441.334952e-06
2.251951.665761.457322e-06
2.2631.6655741.580293e-06
2.274121.6653871.703868e-06
2.285281.6651971.828050e-06
2.29651.6650071.952841e-06
2.307781.6648142.078245e-06
2.319111.6646192.204265e-06
2.33051.6644232.330904e-06
2.341941.6642242.458164e-06
2.353441.6640242.586049e-06
2.364991.6638222.714562e-06
2.37661.6636182.843706e-06
2.388271.6634122.973485e-06
2.41.6632043.103900e-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
—