Optical constants

Refractive index of SF15 (SCHOTT)

SF15: 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
1.69895
Extinction coefficient k
9.75245e-09
Permittivity ε1
2.88642
Permittivity ε2
3.31378e-08
Absorption coefficient α
0.00208565 cm⁻¹
Penetration depth δ = λ/(2πk)
9.58933e+09 nm
Abbe number Vd
30.068
Chromatic dispersion dn/dλ
-0.117022 µm⁻¹
Group index ng
1.76771
Group velocity dispersion
235.796 fs²/mm
Dispersion parameter D
-1286.39 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

# SF15 (SCHOTT): SF15
schott_sf15 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "SF15", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_sf15.range_nm)  # (370, 2500) nm
eps = schott_sf15.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=1.53925927λ2λ2−0.0119307961+0.247620926λ2λ2−0.0556077536+1.03816409λ2λ2−116.416747

Valid from 0.37 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.53925927
C30.0119307961
C40.247620926
C50.0556077536
C61.03816409
C7116.416747

Comments and conditions

was replaced by N-SF15

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.91e-06 1.69e-08 -3.77e-11 1.1e-06 1.07e-09 0.278
nd
1.69895
Vd
30.07
glass code
699301.406
glass status
preferred
density
value: 4059
thermal expansion
value: 7.9e-06, temperature range: 243 343; value: 8.9e-06, temperature range: 293 573
dPgF
0.0066
resistance
acid: 1.0; stain: 0.0; alkali: 1.2; climatic: 1.0; phosphate: 2.3

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.48e-06 K⁻¹ at 633 nm, dn/dT = 1.92e-06 K⁻¹ at 1310 nm, dn/dT = 1.80e-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
SF15 (SCHOTT), SF15: n and k versus wavelength
λ (µm)nk
0.371.7612485.423700e-06
0.3717761.7600424.806209e-06
0.373561.7588584.185754e-06
0.3753531.7576943.562322e-06
0.3771551.756552.935897e-06
0.3789651.7554252.306465e-06
0.381.7547941.946700e-06
0.3807841.754321.850478e-06
0.3826121.7532331.626237e-06
0.3844481.7521651.400919e-06
0.3862941.7511141.174520e-06
0.3881481.750089.470338e-07
0.391.7490697.197900e-07
0.3900111.7490637.193514e-07
0.3918831.7480626.438283e-07
0.3937641.7470785.679427e-07
0.3956541.7461094.916928e-07
0.3975531.7451564.150770e-07
0.3994611.7442173.380935e-07
0.41.7439563.163500e-07
0.4013781.7432932.868967e-07
0.4033051.7423842.457303e-07
0.4051.7415992.095100e-07
0.4052411.7414882.074753e-07
0.4071861.7406071.910344e-07
0.409141.7397381.745145e-07
0.4111041.7388831.579153e-07
0.4130771.738041.412365e-07
0.415061.737211.244776e-07
0.4170521.7363931.076382e-07
0.4190541.7355879.071804e-08
0.421.7352118.272100e-08
0.4210651.7347938.050549e-08
0.4230861.7340117.630225e-08
0.4251171.733247.207883e-08
0.4271581.732486.783514e-08
0.4292081.7317316.357108e-08
0.4312681.7309925.928655e-08
0.4333381.7302645.498146e-08
0.4354181.7295465.065570e-08
0.4361.7293484.944500e-08
0.4375081.7288394.819706e-08
0.4396081.7281414.645900e-08
0.4417181.7274524.471259e-08
0.4438381.7267744.295780e-08
0.4459681.7261044.119459e-08
0.4481091.7254443.942292e-08
0.450261.7247923.764274e-08
0.4524211.724153.585402e-08
0.4545921.7235163.405672e-08
0.4567741.722893.225078e-08
0.4589671.7222733.043618e-08
0.461.7219862.958100e-08
0.461171.7216642.918374e-08
0.4633831.7210632.843197e-08
0.4656071.720472.767659e-08
0.4678421.7198852.691759e-08
0.4700881.7193072.615494e-08
0.4723441.7187372.538863e-08
0.4746111.7181742.461865e-08
0.4768891.7176182.384497e-08
0.4791781.7170692.306757e-08
0.4814781.7165282.228645e-08
0.4837891.7159932.150157e-08
0.4861111.7154652.071293e-08
0.4884451.7149441.992050e-08
0.4907891.7144291.912427e-08
0.4931451.713921.832422e-08
0.4955121.7134181.752033e-08
0.497891.7129221.671258e-08
0.51.7124891.599600e-08
0.500281.7124321.596231e-08
0.5026811.7119491.567327e-08
0.5050941.7114711.538285e-08
0.5075181.7109991.509103e-08
0.5099541.7105321.479781e-08
0.5124021.7100721.450319e-08
0.5148611.7096171.420714e-08
0.5173331.7091671.390968e-08
0.5198161.7087231.361079e-08
0.5223111.7082841.331047e-08
0.5248181.707851.300870e-08
0.5273371.7074211.270549e-08
0.5298681.7069981.240082e-08
0.5324111.7065791.209469e-08
0.5349671.7061651.178709e-08
0.5375341.7057561.147801e-08
0.5401141.7053521.116745e-08
0.5427071.7049531.085540e-08
0.5453121.7045581.054185e-08
0.5461.7044551.045900e-08
0.5479291.7041671.039064e-08
0.5505591.7037821.029743e-08
0.5532021.70341.020379e-08
0.5558571.7030231.010969e-08
0.5585251.702651.001514e-08
0.5612061.7022829.920136e-09
0.5638991.7019179.824676e-09
0.5666061.7015579.728759e-09
0.5693261.7012019.632381e-09
0.5720581.7008489.535540e-09
0.5748041.70059.438235e-09
0.5775631.7001559.340463e-09
0.581.6998569.254100e-09
0.5803351.6998159.276080e-09
0.5831211.6994789.458732e-09
0.585921.6991449.642261e-09
0.5887321.6988159.826671e-09
0.5915581.6984891.001197e-08
0.5943971.6981661.019815e-08
0.597251.6978471.038523e-08
0.6001171.6975321.057320e-08
0.6029971.697221.076208e-08
0.6058911.6969111.095187e-08
0.60881.6966061.114256e-08
0.6117221.6963031.133417e-08
0.6146581.6960041.152670e-08
0.6176081.6957091.172016e-08
0.621.6954721.187700e-08
0.6205731.6954161.191824e-08
0.6235511.6951261.213277e-08
0.6265441.694841.234834e-08
0.6295511.6945561.256494e-08
0.6325731.6942761.278258e-08
0.6356091.6939981.300126e-08
0.638661.6937231.322100e-08
0.6417261.6934511.344178e-08
0.6448061.6931821.366363e-08
0.6479011.6929161.388655e-08
0.651011.6926521.411053e-08
0.6541351.6923911.433559e-08
0.6572751.6921331.456173e-08
0.661.6919111.475800e-08
0.660431.6918771.471944e-08
0.66361.6916241.443502e-08
0.6667851.6913731.414923e-08
0.6699851.6911251.386207e-08
0.6732011.6908791.357353e-08
0.6764321.6906361.328361e-08
0.6796791.6903961.299230e-08
0.6829411.6901571.269958e-08
0.6862191.6899211.240547e-08
0.6895131.6896871.210994e-08
0.6928231.6894561.181299e-08
0.6961481.6892271.151462e-08
0.6994891.6891.121481e-08
0.71.6889661.116900e-08
0.7028471.6887751.116084e-08
0.706221.6885531.115117e-08
0.709611.6883321.114145e-08
0.7130161.6881141.113169e-08
0.7164381.6878981.112188e-08
0.7198771.6876841.111202e-08
0.7233321.6874711.110211e-08
0.7268041.6872611.109216e-08
0.7302931.6870531.108216e-08
0.7337981.6868471.107211e-08
0.737321.6866421.106202e-08
0.7408591.686441.105187e-08
0.7444151.6862391.104168e-08
0.7479881.6860411.103143e-08
0.7515781.6858441.102114e-08
0.7551861.6856491.101080e-08
0.7588111.6854551.100041e-08
0.7624531.6852641.098997e-08
0.7661121.6850741.097948e-08
0.769791.6848861.096894e-08
0.7734841.6846991.095834e-08
0.7771971.6845141.094770e-08
0.7809271.6843311.093701e-08
0.7846761.684151.092626e-08
0.7884421.683971.091547e-08
0.7922261.6837911.090462e-08
0.7960291.6836141.089372e-08
0.799851.6834391.088276e-08
0.8036891.6832651.087176e-08
0.8075461.6830931.086070e-08
0.8114221.6829221.084959e-08
0.8153171.6827521.083842e-08
0.8192311.6825841.082721e-08
0.8231631.6824171.081593e-08
0.8271141.6822521.080461e-08
0.8310841.6820881.079323e-08
0.8350731.6819261.078179e-08
0.8390811.6817641.077030e-08
0.8431081.6816051.075876e-08
0.8471551.6814461.074716e-08
0.8512211.6812891.073550e-08
0.8553071.6811321.072379e-08
0.8594121.6809781.071202e-08
0.8635371.6808241.070019e-08
0.8676821.6806711.068831e-08
0.8718471.680521.067637e-08
0.8760321.680371.066438e-08
0.8802361.6802211.065232e-08
0.8844611.6800731.064021e-08
0.8887071.6799261.062804e-08
0.8929721.6797811.061581e-08
0.8972581.6796361.060353e-08
0.9015651.6794931.059118e-08
0.9058921.679351.057878e-08
0.910241.6792091.056631e-08
0.9146091.6790681.055379e-08
0.9189991.6789291.054120e-08
0.923411.6787911.052856e-08
0.9278431.6786531.051585e-08
0.9322961.6785171.050308e-08
0.9367711.6783811.049026e-08
0.9412671.6782471.047737e-08
0.9457851.6781131.046442e-08
0.9503251.677981.045140e-08
0.9548861.6778481.043833e-08
0.9594691.6777171.042519e-08
0.9640751.6775871.041199e-08
0.9687021.6774581.039872e-08
0.9733521.6773291.038539e-08
0.9780231.6772021.037200e-08
0.9827181.6770751.035854e-08
0.9874351.6769491.034502e-08
0.9921741.6768231.033143e-08
0.9969361.6766991.031778e-08
1.001721.6765751.030407e-08
1.006531.6764521.029028e-08
1.011361.6763291.027643e-08
1.016221.6762081.026252e-08
1.021091.6760871.024853e-08
1.025991.6759661.023448e-08
1.030921.6758471.022037e-08
1.035871.6757281.020618e-08
1.040841.6756091.019193e-08
1.045831.6754921.017761e-08
1.050851.6753751.016322e-08
1.05591.6752581.014876e-08
1.061.6751641.013700e-08
1.060971.6751421.024716e-08
1.066061.6750271.082781e-08
1.071181.6749121.141124e-08
1.076321.6747981.199747e-08
1.081481.6746841.258652e-08
1.086671.6745711.317840e-08
1.091891.6744591.377311e-08
1.097131.6743471.437068e-08
1.10241.6742351.497112e-08
1.107691.6741241.557444e-08
1.1131.6740141.618066e-08
1.118351.6739031.678978e-08
1.123711.6737941.740183e-08
1.129111.6736841.801682e-08
1.134531.6735761.863476e-08
1.139971.6734671.925566e-08
1.145451.6733591.987955e-08
1.150941.6732522.050643e-08
1.156471.6731442.113632e-08
1.162021.6730382.176923e-08
1.16761.6729312.240518e-08
1.17321.6728252.304418e-08
1.178831.6727192.368625e-08
1.184491.6726142.433140e-08
1.190171.6725092.497965e-08
1.195891.6724042.563101e-08
1.201631.6722992.628549e-08
1.207391.6721952.694312e-08
1.213191.6720912.760391e-08
1.219011.6719882.826786e-08
1.224861.6718842.893500e-08
1.230741.6717812.960535e-08
1.236651.6716783.027891e-08
1.242591.6715753.095570e-08
1.248551.6714733.163575e-08
1.254541.671373.231905e-08
1.260561.6712683.300564e-08
1.266621.6711663.369552e-08
1.272691.6710653.438872e-08
1.27881.6709633.508524e-08
1.284941.6708623.578510e-08
1.291111.670763.648833e-08
1.297311.6706593.719492e-08
1.303531.6705583.790492e-08
1.309791.6704573.861831e-08
1.316081.6703573.933514e-08
1.322391.6702564.005540e-08
1.328741.6701554.077912e-08
1.335121.6700554.150631e-08
1.341531.6699544.223700e-08
1.347971.6698544.297119e-08
1.354441.6697534.370890e-08
1.360941.6696534.445016e-08
1.367471.6695524.519497e-08
1.374031.6694524.594336e-08
1.380631.6693524.669534e-08
1.387251.6692514.745093e-08
1.393911.6691514.821015e-08
1.40061.6690514.897301e-08
1.407331.668954.973953e-08
1.414081.668855.050974e-08
1.420871.6687495.128364e-08
1.427691.6686485.206125e-08
1.434541.6685485.284260e-08
1.441431.6684475.362769e-08
1.448341.6683465.441656e-08
1.45531.6682455.520921e-08
1.462281.6681445.600566e-08
1.46931.6680425.680594e-08
1.476351.6679415.761006e-08
1.483441.6678395.841804e-08
1.490561.6677385.922990e-08
1.497711.6676366.004565e-08
1.50491.6675346.086532e-08
1.512131.6674316.168892e-08
1.519381.6673296.251648e-08
1.526681.6672266.334801e-08
1.531.6671796.372700e-08
1.5341.6671236.852861e-08
1.541371.667027.735848e-08
1.548771.6669178.623074e-08
1.55621.6668139.514558e-08
1.563671.6667091.041032e-07
1.571171.6666051.131038e-07
1.578711.66651.221477e-07
1.586291.6663951.312349e-07
1.593911.666291.403658e-07
1.601561.6661851.495404e-07
1.609241.6660791.587591e-07
1.616971.6659731.680221e-07
1.624731.6658661.773295e-07
1.632531.665761.866816e-07
1.640361.6656521.960786e-07
1.648241.6655452.055207e-07
1.656151.6654372.150081e-07
1.66411.6653282.245411e-07
1.672081.6652192.341198e-07
1.680111.665112.437445e-07
1.688171.6652.534153e-07
1.696281.664892.631326e-07
1.704421.664782.728966e-07
1.71261.6646682.827074e-07
1.720821.6645572.925653e-07
1.729081.6644453.024705e-07
1.737381.6643323.124232e-07
1.745721.6642193.224237e-07
1.75411.6641053.324723e-07
1.762521.6639913.425690e-07
1.770981.6638763.527142e-07
1.779481.6637613.629082e-07
1.788021.6636453.731510e-07
1.79661.6635283.834430e-07
1.805221.6634113.937844e-07
1.813891.6632934.041754e-07
1.822591.6631754.146164e-07
1.831341.6630564.251074e-07
1.840131.6629364.356488e-07
1.848971.6628164.462408e-07
1.857841.6626954.568836e-07
1.866761.6625734.675775e-07
1.875721.662454.783227e-07
1.884721.6623274.891195e-07
1.893771.6622034.999682e-07
1.902861.6620785.108689e-07
1.911991.6619535.218219e-07
1.921171.6618275.328275e-07
1.930391.66175.438859e-07
1.939651.6615725.549974e-07
1.948961.6614435.661622e-07
1.958321.6613145.773807e-07
1.967721.6611835.886529e-07
1.971.6611525.913900e-07
1.977161.6610526.224141e-07
1.986651.660926.635208e-07
1.996191.6607877.048248e-07
2.005771.6606537.463271e-07
2.01541.6605187.880285e-07
2.025071.6603828.299301e-07
2.034791.6602468.720329e-07
2.044561.6601089.143377e-07
2.054371.6599699.568455e-07
2.064231.659839.995574e-07
2.074141.6596891.042474e-06
2.084091.6595471.085597e-06
2.09411.6594041.128927e-06
2.104151.6592611.172465e-06
2.114251.6591161.216212e-06
2.12441.658971.260169e-06
2.134591.6588231.304336e-06
2.144841.6586741.348716e-06
2.155131.6585251.393309e-06
2.165481.6583741.438116e-06
2.175871.6582231.483138e-06
2.186321.658071.528376e-06
2.196811.6579161.573831e-06
2.207351.657761.619504e-06
2.217951.6576041.665397e-06
2.228591.6574461.711510e-06
2.239291.6572861.757844e-06
2.250041.6571261.804400e-06
2.260841.6569641.851180e-06
2.271691.6568011.898185e-06
2.282591.6566361.945415e-06
2.293551.6564711.992872e-06
2.304561.6563032.040556e-06
2.315621.6561352.088470e-06
2.3251.6559912.129100e-06
2.326731.6559642.139585e-06
2.33791.6557932.207090e-06
2.349121.655622.274919e-06
2.36041.6554452.343073e-06
2.371731.6552692.411555e-06
2.383111.6550912.480366e-06
2.394551.6549122.549507e-06
2.406041.6547312.618979e-06
2.417591.6545482.688785e-06
2.42921.6543642.758926e-06
2.440861.6541792.829404e-06
2.452571.6539912.900220e-06
2.464341.6538022.971376e-06
2.476171.6536113.042874e-06
2.488061.6534183.114714e-06
2.51.6532243.186900e-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
—