Optical constants

Refractive index of SF56A (SCHOTT)

SF56A: n,k 0.37–2.5 µm

Data
formula 2 + tabulated k
Range
0.37–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.37–2.5 µm
Refractive index n
1.7847
Extinction coefficient k
1.12565e-08
Permittivity ε1
3.18514
Permittivity ε2
4.01790e-08
Absorption coefficient α
0.00240732 cm⁻¹
Penetration depth δ = λ/(2πk)
8.30801e+09 nm
Abbe number Vd
26.077
Chromatic dispersion dn/dλ
-0.150811 µm⁻¹
Group index ng
1.87331
Group velocity dispersion
310.717 fs²/mm
Dispersion parameter D
-1695.13 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

# SF56A (SCHOTT): SF56A
schott_sf56a = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "SF56A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_sf56a.range_nm)  # (370, 2500) nm
eps = schott_sf56a.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=1.70579259λ2λ2−0.0133874699+0.344223052λ2λ2−0.0579561608+1.09601828λ2λ2−121.616024

Valid from 0.37 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.70579259
C30.0133874699
C40.344223052
C50.0579561608
C61.09601828
C7121.616024

Comments and conditions

lead containing glass type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 6.02e-06 1.7e-08 -2.61e-11 1.63e-06 1.59e-09 0.269
nd
1.7847
Vd
26.08
glass code
785261.492
glass status
standard
density
value: 4920
thermal expansion
value: 7.9e-06, temperature range: 243 343; value: 8.8e-06, temperature range: 293 573
dPgF
0.0098
resistance
acid: 3.2; stain: 1.0; alkali: 2.2; climatic: 1.0; phosphate: 3.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 6.68e-06 K⁻¹ at 633 nm, dn/dT = 4.13e-06 K⁻¹ at 1310 nm, dn/dT = 3.94e-06 K⁻¹ at 1550 nm

References

Cite

SCHOTT Zemax catalog 2017-01-20b (obtained from http://www.schott.com); See also SCHOTT 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 417 wavelengths, the same grid as the API and the library
SF56A (SCHOTT), SF56A: n and k versus wavelength
λ (µm)nk
0.371.8671855.423700e-06
0.3717761.8655484.955121e-06
0.373561.8639414.484293e-06
0.3753531.8623644.011205e-06
0.3771551.8608153.535846e-06
0.3789651.8592953.058205e-06
0.381.8584412.785200e-06
0.3807841.8578012.653569e-06
0.3826121.8563342.346809e-06
0.3844481.8548932.038577e-06
0.3862941.8534761.728865e-06
0.3881481.8520851.417667e-06
0.391.8507251.106800e-06
0.3900111.8507171.106131e-06
0.3918831.8493729.908616e-07
0.3937641.848058.750394e-07
0.3956541.846757.586612e-07
0.3975531.8454716.417245e-07
0.3994611.8442145.242265e-07
0.41.8438644.910400e-07
0.4013781.8429774.532033e-07
0.4033051.8417614.003198e-07
0.4051.8407113.537900e-07
0.4052411.8405633.503730e-07
0.4071861.8393853.227620e-07
0.409141.8382262.950184e-07
0.4111041.8370852.671417e-07
0.4130771.8359622.391311e-07
0.415061.8348562.109861e-07
0.4170521.8337681.827061e-07
0.4190541.8326961.542903e-07
0.421.8321971.408600e-07
0.4210651.8316411.362211e-07
0.4230861.8306011.274203e-07
0.4251171.8295771.185772e-07
0.4271581.8285691.096917e-07
0.4292081.8275751.007635e-07
0.4312681.8265979.179245e-08
0.4333381.8256328.277836e-08
0.4354181.8246827.372100e-08
0.4361.8244197.118600e-08
0.4375081.8237466.913717e-08
0.4396081.8228236.628368e-08
0.4417181.8219136.341650e-08
0.4438381.8210176.053555e-08
0.4459681.8201335.764078e-08
0.4481091.8192625.473211e-08
0.450261.8184035.180948e-08
0.4524211.8175564.887282e-08
0.4545921.816724.592207e-08
0.4567741.8158974.295715e-08
0.4589671.8150843.997801e-08
0.461.8147073.857400e-08
0.461171.8142833.796078e-08
0.4633831.8134933.680034e-08
0.4656071.8127143.563433e-08
0.4678421.8119453.446272e-08
0.4700881.8111863.328549e-08
0.4723441.8104383.210260e-08
0.4746111.80973.091404e-08
0.4768891.8089712.971978e-08
0.4791781.8082522.851978e-08
0.4814781.8075432.731403e-08
0.4837891.8068432.610248e-08
0.4861111.8061522.488512e-08
0.4884451.805472.366192e-08
0.4907891.8047962.243285e-08
0.4931451.8041322.119787e-08
0.4955121.8034761.995697e-08
0.497891.8028281.871012e-08
0.51.8022631.760400e-08
0.500281.8021891.756053e-08
0.5026811.8015581.718755e-08
0.5050941.8009341.681278e-08
0.5075181.8003191.643622e-08
0.5099541.7997111.605785e-08
0.5124021.7991111.567766e-08
0.5148611.7985191.529564e-08
0.5173331.7979331.491180e-08
0.5198161.7973551.452611e-08
0.5223111.7967841.413856e-08
0.5248181.796221.374916e-08
0.5273371.7956631.335789e-08
0.5298681.7951131.296474e-08
0.5324111.7945691.256971e-08
0.5349671.7940321.217278e-08
0.5375341.7935011.177394e-08
0.5401141.7929771.137319e-08
0.5427071.7924591.097051e-08
0.5453121.7919471.056591e-08
0.5461.7918131.045900e-08
0.5479291.7914411.049599e-08
0.5505591.7909421.054643e-08
0.5532021.7904481.059710e-08
0.5558571.789961.064802e-08
0.5585251.7894771.069918e-08
0.5612061.7890011.075059e-08
0.5638991.7885291.080225e-08
0.5666061.7880641.085415e-08
0.5693261.7876031.090630e-08
0.5720581.7871481.095871e-08
0.5748041.7866981.101136e-08
0.5775631.7862541.106427e-08
0.581.7858671.111100e-08
0.5803351.7858141.111742e-08
0.5831211.785381.117076e-08
0.585921.784951.122436e-08
0.5887321.7845251.127822e-08
0.5915581.7841051.133233e-08
0.5943971.783691.138670e-08
0.597251.7832791.144134e-08
0.6001171.7828731.149624e-08
0.6029971.7824721.155140e-08
0.6058911.7820751.160682e-08
0.60881.7816821.166251e-08
0.6117221.7812931.171847e-08
0.6146581.7809091.177470e-08
0.6176081.780531.183120e-08
0.621.7802261.187700e-08
0.6205731.7801541.191824e-08
0.6235511.7797821.213277e-08
0.6265441.7794151.234834e-08
0.6295511.7790511.256494e-08
0.6325731.7786911.278258e-08
0.6356091.7783351.300126e-08
0.638661.7779831.322100e-08
0.6417261.7776351.344178e-08
0.6448061.7772911.366363e-08
0.6479011.776951.388655e-08
0.651011.7766121.411053e-08
0.6541351.7762791.433559e-08
0.6572751.7759491.456173e-08
0.661.7756661.475800e-08
0.660431.7756221.471944e-08
0.66361.7752991.443502e-08
0.6667851.7749791.414923e-08
0.6699851.7746621.386207e-08
0.6732011.7743491.357353e-08
0.6764321.7740391.328361e-08
0.6796791.7737321.299230e-08
0.6829411.7734281.269958e-08
0.6862191.7731281.240547e-08
0.6895131.772831.210994e-08
0.6928231.7725351.181299e-08
0.6961481.7722441.151462e-08
0.6994891.7719551.121481e-08
0.71.7719121.116900e-08
0.7028471.771671.116084e-08
0.706221.7713871.115117e-08
0.709611.7711071.114145e-08
0.7130161.770831.113169e-08
0.7164381.7705551.112188e-08
0.7198771.7702841.111202e-08
0.7233321.7700151.110211e-08
0.7268041.7697481.109216e-08
0.7302931.7694851.108216e-08
0.7337981.7692231.107211e-08
0.737321.7689651.106202e-08
0.7408591.7687091.105187e-08
0.7444151.7684551.104168e-08
0.7479881.7682041.103143e-08
0.7515781.7679551.102114e-08
0.7551861.7677091.101080e-08
0.7588111.7674651.100041e-08
0.7624531.7672231.098997e-08
0.7661121.7669841.097948e-08
0.769791.7667461.096894e-08
0.7734841.7665121.095834e-08
0.7771971.7662791.094770e-08
0.7809271.7660481.093701e-08
0.7846761.765821.092626e-08
0.7884421.7655931.091547e-08
0.7922261.7653691.090462e-08
0.7960291.7651471.089372e-08
0.799851.7649271.088276e-08
0.8036891.7647091.087176e-08
0.8075461.7644931.086070e-08
0.8114221.7642781.084959e-08
0.8153171.7640661.083842e-08
0.8192311.7638561.082721e-08
0.8231631.7636471.081593e-08
0.8271141.7634411.080461e-08
0.8310841.7632361.079323e-08
0.8350731.7630331.078179e-08
0.8390811.7628311.077030e-08
0.8431081.7626321.075876e-08
0.8471551.7624341.074716e-08
0.8512211.7622381.073550e-08
0.8553071.7620441.072379e-08
0.8594121.7618511.071202e-08
0.8635371.761661.070019e-08
0.8676821.761471.068831e-08
0.8718471.7612831.067637e-08
0.8760321.7610961.066438e-08
0.8802361.7609111.065232e-08
0.8844611.7607281.064021e-08
0.8887071.7605461.062804e-08
0.8929721.7603661.061581e-08
0.8972581.7601871.060353e-08
0.9015651.760011.059118e-08
0.9058921.7598341.057878e-08
0.910241.759661.056631e-08
0.9146091.7594861.055379e-08
0.9189991.7593151.054120e-08
0.923411.7591441.052856e-08
0.9278431.7589751.051585e-08
0.9322961.7588071.050308e-08
0.9367711.7586411.049026e-08
0.9412671.7584761.047737e-08
0.9457851.7583121.046442e-08
0.9503251.7581491.045140e-08
0.9548861.7579871.043833e-08
0.9594691.7578271.042519e-08
0.9640751.7576681.041199e-08
0.9687021.757511.039872e-08
0.9733521.7573531.038539e-08
0.9780231.7571971.037200e-08
0.9827181.7570421.035854e-08
0.9874351.7568891.034502e-08
0.9921741.7567361.033143e-08
0.9969361.7565851.031778e-08
1.001721.7564351.030407e-08
1.006531.7562851.029028e-08
1.011361.7561371.027643e-08
1.016221.755991.026252e-08
1.021091.7558431.024853e-08
1.025991.7556981.023448e-08
1.030921.7555541.022037e-08
1.035871.755411.020618e-08
1.040841.7552671.019193e-08
1.045831.7551261.017761e-08
1.050851.7549851.016322e-08
1.05591.7548451.014876e-08
1.061.7547321.013700e-08
1.060971.7547061.022690e-08
1.066061.7545681.070072e-08
1.071181.754431.117682e-08
1.076321.7542941.165520e-08
1.081481.7541581.213588e-08
1.086671.7540231.261887e-08
1.091891.7538891.310417e-08
1.097131.7537551.359181e-08
1.10241.7536221.408178e-08
1.107691.753491.457411e-08
1.1131.7533591.506880e-08
1.118351.7532281.556586e-08
1.123711.7530981.606531e-08
1.129111.7529691.656716e-08
1.134531.752841.707142e-08
1.139971.7527121.757809e-08
1.145451.7525851.808720e-08
1.150941.7524581.859876e-08
1.156471.7523321.911276e-08
1.162021.7522071.962924e-08
1.16761.7520822.014819e-08
1.17321.7519572.066964e-08
1.178831.7518342.119358e-08
1.184491.751712.172005e-08
1.190171.7515882.224903e-08
1.195891.7514652.278056e-08
1.201631.7513442.331464e-08
1.207391.7512222.385128e-08
1.213191.7511022.439050e-08
1.219011.7509812.493231e-08
1.224861.7508612.547672e-08
1.230741.7507422.602374e-08
1.236651.7506232.657338e-08
1.242591.7505042.712567e-08
1.248551.7503862.768060e-08
1.254541.7502692.823820e-08
1.260561.7501512.879848e-08
1.266621.7500342.936144e-08
1.272691.7499172.992711e-08
1.27881.7498013.049549e-08
1.284941.7496853.106660e-08
1.291111.7495693.164045e-08
1.297311.7494543.221705e-08
1.303531.7493393.279643e-08
1.309791.7492243.337858e-08
1.316081.749113.396353e-08
1.322391.7489953.455128e-08
1.328741.7488813.514186e-08
1.335121.7487683.573527e-08
1.341531.7486543.633153e-08
1.347971.7485413.693065e-08
1.354441.7484283.753265e-08
1.360941.7483153.813754e-08
1.367471.7482023.874533e-08
1.374031.7480893.935603e-08
1.380631.7479773.996967e-08
1.387251.7478654.058626e-08
1.393911.7477534.120580e-08
1.40061.747644.182832e-08
1.407331.7475294.245382e-08
1.414081.7474174.308233e-08
1.420871.7473054.371385e-08
1.427691.7471934.434841e-08
1.434541.7470824.498601e-08
1.441431.746974.562667e-08
1.448341.7468594.627041e-08
1.45531.7467474.691723e-08
1.462281.7466364.756716e-08
1.46931.7465254.822021e-08
1.476351.7464134.887640e-08
1.483441.7463024.953573e-08
1.490561.746195.019823e-08
1.497711.7460795.086391e-08
1.50491.7459675.153279e-08
1.512131.7458565.220487e-08
1.519381.7457445.288018e-08
1.526681.7456325.355873e-08
1.531.7455825.386800e-08
1.5341.7455215.813571e-08
1.541371.7454096.598379e-08
1.548771.7452977.386954e-08
1.55621.7451848.179314e-08
1.563671.7450728.975477e-08
1.571171.744969.775461e-08
1.578711.7448471.057929e-07
1.586291.7447341.138697e-07
1.593911.7446211.219853e-07
1.601561.7445081.301398e-07
1.609241.7443951.383335e-07
1.616971.7442811.465665e-07
1.624731.7441681.548390e-07
1.632531.7440531.631513e-07
1.640361.7439391.715034e-07
1.648241.7438251.798956e-07
1.656151.743711.883281e-07
1.66411.7435951.968011e-07
1.672081.7434792.053148e-07
1.680111.7433632.138693e-07
1.688171.7432472.224648e-07
1.696281.7431312.311017e-07
1.704421.7430142.397799e-07
1.71261.7428972.484999e-07
1.720821.742782.572617e-07
1.729081.7426622.660655e-07
1.737381.7425442.749116e-07
1.745721.7424252.838002e-07
1.75411.7423062.927314e-07
1.762521.7421863.017055e-07
1.770981.7420663.107227e-07
1.779481.7419463.197831e-07
1.788021.7418253.288870e-07
1.79661.7417043.380347e-07
1.805221.7415823.472262e-07
1.813891.7414593.564619e-07
1.822591.7413363.657419e-07
1.831341.7412133.750664e-07
1.840131.7410893.844357e-07
1.848971.7409643.938499e-07
1.857841.7408394.033094e-07
1.866761.7407144.128142e-07
1.875721.7405874.223647e-07
1.884721.740464.319610e-07
1.893771.7403334.416034e-07
1.902861.7402054.512920e-07
1.911991.7400764.610272e-07
1.921171.7399464.708091e-07
1.930391.7398164.806379e-07
1.939651.7396854.905139e-07
1.948961.7395545.004373e-07
1.958321.7394215.104084e-07
1.967721.7392885.204273e-07
1.971.7392565.228600e-07
1.977161.7391545.532875e-07
1.986651.739025.936038e-07
1.996191.7388846.341135e-07
2.005771.7387486.748176e-07
2.01541.7386117.157172e-07
2.025071.7384737.568130e-07
2.034791.7383357.981061e-07
2.044561.7381958.395974e-07
2.054371.7380558.812879e-07
2.064231.7379139.231784e-07
2.074141.7377719.652700e-07
2.084091.7376281.007564e-06
2.09411.7374841.050060e-06
2.104151.7373391.092761e-06
2.114251.7371931.135667e-06
2.12441.7370461.178778e-06
2.134591.7368981.222097e-06
2.144841.7367491.265623e-06
2.155131.7365991.309358e-06
2.165481.7364481.353303e-06
2.175871.7362961.397460e-06
2.186321.7361431.441828e-06
2.196811.7359881.486409e-06
2.207351.7358331.531204e-06
2.217951.7356761.576214e-06
2.228591.7355191.621440e-06
2.239291.735361.666883e-06
2.250041.7351991.712544e-06
2.260841.7350381.758425e-06
2.271691.7348761.804525e-06
2.282591.7347121.850847e-06
2.293551.7345471.897391e-06
2.304561.734381.944159e-06
2.315621.7342131.991151e-06
2.3251.734072.031000e-06
2.326731.7340442.039002e-06
2.33791.7338732.090521e-06
2.349121.7337022.142287e-06
2.36041.7335282.194302e-06
2.371731.7333542.246566e-06
2.383111.7331782.299082e-06
2.394551.7330012.351849e-06
2.406041.7328222.404870e-06
2.417591.7326412.458145e-06
2.42921.732462.511676e-06
2.440861.7322762.565464e-06
2.452571.7320912.619510e-06
2.464341.7319052.673815e-06
2.476171.7317162.728381e-06
2.488061.7315272.783209e-06
2.51.7313352.838300e-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
—