Optical constants

Refractive index of KZFS12 (SCHOTT)

KZFS12: n,k 0.35–2.5 µm

Data
formula 2 + tabulated k
Range
0.35–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.35–2.5 µm
Refractive index n
1.696
Extinction coefficient k
1.65316e-08
Permittivity ε1
2.8764
Permittivity ε2
5.60750e-08
Absorption coefficient α
0.00353543 cm⁻¹
Penetration depth δ = λ/(2πk)
5.65701e+09 nm
Abbe number Vd
36.29
Chromatic dispersion dn/dλ
-0.0975365 µm⁻¹
Group index ng
1.75331
Group velocity dispersion
185.716 fs²/mm
Dispersion parameter D
-1013.18 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

# KZFS12 (SCHOTT): KZFS12
schott_kzfs12 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "KZFS12", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_kzfs12.range_nm)  # (350, 2500) nm
eps = schott_kzfs12.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=1.55624873λ2λ2−0.0102012744+0.239769276λ2λ2−0.0469277969+0.947887658λ2λ2−69.8370722

Valid from 0.35 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.55624873
C30.0102012744
C40.239769276
C50.0469277969
C60.947887658
C769.8370722

Comments and conditions

inquiry glass

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 4.36e-06 1.32e-08 -1.81e-11 6.86e-07 6.81e-10 0.253
nd
1.696
Vd
36.29
glass code
696363.384
glass status
special
density
value: 3836
thermal expansion
value: 5.18e-06, temperature range: 243 343; value: 6.22e-06, temperature range: 293 573
dPgF
-0.005
resistance
acid: 53.3; stain: 1.0; alkali: 4.3; climatic: 4.0; phosphate: 4.3

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.52e-06 K⁻¹ at 633 nm, dn/dT = 2.56e-06 K⁻¹ at 1310 nm, dn/dT = 2.48e-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 419 wavelengths, the same grid as the API and the library
KZFS12 (SCHOTT), KZFS12: n and k versus wavelength
λ (µm)nk
0.351.7563066.151400e-06
0.3517291.7552015.628022e-06
0.3534661.7541155.102059e-06
0.3552121.7530474.573498e-06
0.3569671.7519974.042326e-06
0.358731.7509653.508530e-06
0.3605021.7499492.972097e-06
0.3622831.748952.433015e-06
0.3640731.7479671.891269e-06
0.3651.7474661.610600e-06
0.3658711.7471.528526e-06
0.3676791.7460481.358277e-06
0.3694951.7451121.187186e-06
0.371.7448551.139600e-06
0.371321.744191.076144e-06
0.3731541.7432839.879703e-07
0.3749981.7423898.993614e-07
0.376851.741518.103147e-07
0.3787121.7406447.208282e-07
0.381.7400556.588900e-07
0.3805821.7397916.442703e-07
0.3824621.7389515.970676e-07
0.3843521.7381245.496318e-07
0.386251.7373095.019616e-07
0.3881581.7365064.540560e-07
0.391.7357464.078100e-07
0.3900761.7357154.067563e-07
0.3920021.7349363.798744e-07
0.3939391.7341683.528597e-07
0.3958851.7334113.257116e-07
0.397841.7326652.984293e-07
0.3998061.731932.710123e-07
0.41.7318582.683000e-07
0.4017811.7312052.527987e-07
0.4037651.7304912.355199e-07
0.4051.7300532.247700e-07
0.405761.7297862.197715e-07
0.4077641.7290922.065841e-07
0.4097781.7284071.933317e-07
0.4118031.7277321.800137e-07
0.4138371.7270661.666300e-07
0.4158811.7264091.531802e-07
0.4179351.7257611.396639e-07
0.421.7251221.260809e-07
0.421.7251221.260800e-07
0.4220751.7244921.201025e-07
0.424161.723871.140951e-07
0.4262551.7232561.080581e-07
0.428361.7226511.019912e-07
0.4304761.7220539.589434e-08
0.4326031.7214648.976737e-08
0.434741.7208828.361014e-08
0.4361.7205447.997900e-08
0.4368871.7203087.861522e-08
0.4390451.7197427.529811e-08
0.4412141.7191837.196460e-08
0.4433941.7186316.861463e-08
0.4455841.7180866.524811e-08
0.4477851.7175486.186496e-08
0.4499971.7170175.846510e-08
0.452221.7164935.504844e-08
0.4544541.7159755.161491e-08
0.4566991.7154644.816442e-08
0.4589551.7149594.469688e-08
0.461.7147284.309000e-08
0.4612221.7144614.245927e-08
0.46351.7139694.128303e-08
0.465791.7134834.010098e-08
0.468091.7130033.891308e-08
0.4704031.7125283.771932e-08
0.4727261.712063.651967e-08
0.4750621.7115973.531409e-08
0.4774081.711143.410255e-08
0.4797671.7106893.288503e-08
0.4821361.7102433.166149e-08
0.4845181.7098023.043191e-08
0.4869121.7093672.919625e-08
0.4893171.7089372.795449e-08
0.4917341.7085112.670660e-08
0.4941631.7080912.545255e-08
0.4966041.7076762.419229e-08
0.4990571.7072662.292582e-08
0.51.707112.243900e-08
0.5015221.7068612.221642e-08
0.5041.706462.185418e-08
0.5064891.7060642.149015e-08
0.5089911.7056722.112432e-08
0.5115061.7052852.075669e-08
0.5140321.7049032.038724e-08
0.5165711.7045252.001596e-08
0.5191231.7041511.964285e-08
0.5216881.7037811.926790e-08
0.5242651.7034161.889110e-08
0.5268541.7030551.851243e-08
0.5294571.7026981.813190e-08
0.5320721.7023441.774948e-08
0.5347011.7019951.736518e-08
0.5373421.701651.697897e-08
0.5399961.7013081.659086e-08
0.5426641.7009711.620084e-08
0.5453441.7006361.580888e-08
0.5461.7005561.571300e-08
0.5480381.7003061.577163e-08
0.5507451.6999791.584950e-08
0.5534661.6996561.592775e-08
0.55621.6993361.600640e-08
0.5589471.699021.608543e-08
0.5617081.6987071.616485e-08
0.5644831.6983981.624466e-08
0.5672721.6980921.632487e-08
0.5700741.6977891.640547e-08
0.572891.6974891.648648e-08
0.575721.6971921.656788e-08
0.5785641.6968991.664968e-08
0.581.6967531.669100e-08
0.5814221.6966091.666118e-08
0.5842941.6963211.660094e-08
0.587181.6960371.654040e-08
0.590081.6957561.647956e-08
0.5929951.6954771.641842e-08
0.5959251.6952021.635698e-08
0.5988681.6949291.629524e-08
0.6018271.6946591.623319e-08
0.6047991.6943921.617083e-08
0.6077871.6941271.610817e-08
0.6107891.6938651.604519e-08
0.6138061.6936061.598191e-08
0.6168391.6933491.591831e-08
0.6198861.6930951.585440e-08
0.621.6930861.585200e-08
0.6229481.6928441.592731e-08
0.6260251.6925951.600594e-08
0.6291171.6923481.608495e-08
0.6322251.6921041.616435e-08
0.6353481.6918621.624414e-08
0.6384861.6916221.632433e-08
0.641641.6913851.640491e-08
0.644811.691151.648590e-08
0.6479951.6909181.656728e-08
0.6511961.6906871.664906e-08
0.6544131.6904591.673125e-08
0.6576461.6902331.681384e-08
0.661.690071.687400e-08
0.6608941.6900091.684668e-08
0.6641591.6897871.674695e-08
0.667441.6895671.664672e-08
0.6707371.689351.654600e-08
0.674051.6891341.644478e-08
0.677381.688921.634306e-08
0.6807261.6887081.624083e-08
0.6840881.6884981.613810e-08
0.6874671.688291.603487e-08
0.6908631.6880841.593112e-08
0.6942761.687881.582687e-08
0.6977061.6876781.572209e-08
0.71.6875441.565200e-08
0.7011521.6874771.566689e-08
0.7046161.6872781.571166e-08
0.7080961.6870811.575664e-08
0.7115941.6868851.580185e-08
0.7151091.6866921.584729e-08
0.7186421.68651.589294e-08
0.7221921.6863091.593883e-08
0.7257591.686121.598494e-08
0.7293441.6859331.603127e-08
0.7329471.6857471.607784e-08
0.7365681.6855631.612464e-08
0.7402061.685381.617166e-08
0.7438621.6851991.621892e-08
0.7475371.685021.626642e-08
0.751231.6848421.631414e-08
0.754941.6846651.636211e-08
0.758671.6844891.641031e-08
0.7624171.6843151.645874e-08
0.7661841.6841431.650742e-08
0.7699681.6839721.655634e-08
0.7737721.6838021.660550e-08
0.7775941.6836331.665490e-08
0.7814351.6834661.670455e-08
0.7852951.68331.675444e-08
0.7891741.6831351.680458e-08
0.7930731.6829711.685497e-08
0.796991.6828091.690560e-08
0.8009271.6826481.695648e-08
0.8048841.6824881.700762e-08
0.808861.6823291.705901e-08
0.8128551.6821711.711065e-08
0.816871.6820151.716255e-08
0.8209061.6818591.721471e-08
0.8249611.6817051.726712e-08
0.8290361.6815511.731979e-08
0.8331311.6813991.737272e-08
0.8372471.6812471.742591e-08
0.8413821.6810971.747937e-08
0.8455391.6809481.753309e-08
0.8497151.6807991.758707e-08
0.8539131.6806521.764132e-08
0.8581311.6805051.769584e-08
0.862371.680361.775063e-08
0.866631.6802151.780569e-08
0.8709111.6800711.786102e-08
0.8752131.6799281.791662e-08
0.8795361.6797861.797250e-08
0.8838811.6796451.802866e-08
0.8882471.6795041.808509e-08
0.8926351.6793651.814180e-08
0.8970441.6792261.819879e-08
0.9014751.6790881.825607e-08
0.9059281.6789511.831362e-08
0.9104031.6788141.837146e-08
0.9149011.6786781.842959e-08
0.919421.6785431.848800e-08
0.9239621.6784091.854670e-08
0.9285261.6782751.860570e-08
0.9331131.6781421.866498e-08
0.9377221.6780091.872456e-08
0.9423541.6778771.878443e-08
0.9470091.6777461.884459e-08
0.9516871.6776161.890505e-08
0.9563881.6774851.896582e-08
0.9611121.6773561.902688e-08
0.965861.6772271.908824e-08
0.9706311.6770991.914991e-08
0.9754261.6769711.921188e-08
0.9802441.6768441.927416e-08
0.9850861.6767171.933674e-08
0.9899531.6765911.939964e-08
0.9948431.6764651.946284e-08
0.9997571.6763391.952636e-08
1.00471.6762151.959019e-08
1.009661.676091.965434e-08
1.014651.6759661.971880e-08
1.019661.6758421.978358e-08
1.024691.6757191.984868e-08
1.029761.6755961.991410e-08
1.034841.6754741.997985e-08
1.039961.6753522.004592e-08
1.045091.675232.011232e-08
1.050251.6751082.017905e-08
1.055441.6749872.024610e-08
1.061.6748812.030500e-08
1.060661.6748662.069760e-08
1.06591.6747462.383048e-08
1.071161.6746252.697883e-08
1.076451.6745053.014274e-08
1.081771.6743853.332227e-08
1.087111.6742663.651751e-08
1.092481.6741463.972853e-08
1.097881.6740274.295542e-08
1.10331.6739084.619824e-08
1.108751.673794.945709e-08
1.114231.6736715.273203e-08
1.119731.6735535.602315e-08
1.125271.6734345.933053e-08
1.130821.6733166.265424e-08
1.136411.6731986.599437e-08
1.142021.673086.935100e-08
1.147671.6729627.272422e-08
1.153331.6728447.611409e-08
1.159031.6727277.952072e-08
1.164761.6726098.294416e-08
1.170511.6724918.638452e-08
1.176291.6723748.984188e-08
1.18211.6722569.331631e-08
1.187941.6721399.680791e-08
1.193811.6720211.003168e-07
1.199711.6719041.038429e-07
1.205631.6717861.073865e-07
1.211591.6716681.109476e-07
1.217571.671551.145263e-07
1.223591.6714331.181227e-07
1.229631.6713151.217368e-07
1.235711.6711971.253688e-07
1.241811.6710791.290187e-07
1.247951.670961.326867e-07
1.254111.6708421.363728e-07
1.260311.6707231.400771e-07
1.266531.6706051.437996e-07
1.272791.6704861.475406e-07
1.279071.6703671.513001e-07
1.285391.6702471.550781e-07
1.291741.6701281.588748e-07
1.298121.6700081.626902e-07
1.304541.6698881.665245e-07
1.310981.6697681.703777e-07
1.317461.6696481.742500e-07
1.323961.6695271.781414e-07
1.33051.6694061.820520e-07
1.337081.6692841.859819e-07
1.343681.6691631.899312e-07
1.350321.669041.939001e-07
1.356991.6689181.978886e-07
1.363691.6687952.018967e-07
1.370431.6686722.059247e-07
1.37721.6685492.099725e-07
1.3841.6684252.140404e-07
1.390841.66832.181283e-07
1.397711.6681762.222365e-07
1.404611.668052.263649e-07
1.411551.6679252.305137e-07
1.418521.6677982.346830e-07
1.425531.6676722.388729e-07
1.432571.6675452.430836e-07
1.439651.6674172.473150e-07
1.446761.6672892.515673e-07
1.453911.667162.558406e-07
1.461091.6670312.601350e-07
1.468311.6669012.644507e-07
1.475561.666772.687876e-07
1.482851.6666392.731460e-07
1.490171.6665072.775259e-07
1.497531.6663752.819275e-07
1.504931.6662422.863508e-07
1.512371.6661082.907959e-07
1.519841.6659742.952630e-07
1.527341.6658392.997522e-07
1.531.6657913.013400e-07
1.534891.6657033.126748e-07
1.542471.6655673.302523e-07
1.550091.6654293.479165e-07
1.557751.6652913.656681e-07
1.565441.6651533.835073e-07
1.573181.6650134.014347e-07
1.580951.6648734.194506e-07
1.588761.6647314.375555e-07
1.59661.6645894.557498e-07
1.604491.6644464.740341e-07
1.612421.6643034.924086e-07
1.620381.6641585.108739e-07
1.628391.6640125.294304e-07
1.636431.6638665.480786e-07
1.644511.6637185.668189e-07
1.652641.663575.856517e-07
1.66081.6634216.045776e-07
1.6691.663276.235970e-07
1.677251.6631196.427104e-07
1.685531.6629666.619181e-07
1.693861.6628136.812208e-07
1.702231.6626587.006188e-07
1.710641.6625037.201126e-07
1.719091.6623467.397027e-07
1.727581.6621887.593895e-07
1.736111.6620297.791737e-07
1.744691.6618697.990555e-07
1.753311.6617078.190356e-07
1.761971.6615458.391143e-07
1.770671.6613818.592923e-07
1.779421.6612168.795699e-07
1.788211.661058.999477e-07
1.797041.6608829.204261e-07
1.805921.6607139.410057e-07
1.814841.6605439.616870e-07
1.82381.6603719.824704e-07
1.832811.6601981.003357e-06
1.841871.6600241.024346e-06
1.850961.6598481.045439e-06
1.860111.6596711.066636e-06
1.86931.6594921.087938e-06
1.878531.6593121.109345e-06
1.887811.659131.130858e-06
1.897141.6589471.152477e-06
1.906511.6587621.174203e-06
1.915921.6585761.196036e-06
1.925391.6583881.217977e-06
1.93491.6581981.240026e-06
1.944461.6580071.262185e-06
1.954061.6578141.284452e-06
1.963721.6576191.306830e-06
1.971.6574921.321400e-06
1.973421.6574231.394416e-06
1.983161.6572251.602803e-06
1.992961.6570251.812218e-06
2.00281.6568232.022668e-06
2.01271.656622.234158e-06
2.022641.6564142.446693e-06
2.032631.6562072.660277e-06
2.042671.6559982.874917e-06
2.052761.6557863.090616e-06
2.06291.6555733.307381e-06
2.073091.6553583.525217e-06
2.083331.6551413.744129e-06
2.093631.6549223.964123e-06
2.103971.65474.185203e-06
2.114361.6544774.407375e-06
2.12481.6542514.630645e-06
2.13531.6540234.855017e-06
2.145851.6537935.080498e-06
2.156451.6535615.307093e-06
2.16711.6533265.534807e-06
2.177811.6530895.763646e-06
2.188561.652855.993615e-06
2.199371.6526086.224721e-06
2.210241.6523646.456968e-06
2.221161.6521186.690362e-06
2.232131.6518696.924909e-06
2.243161.6516177.160615e-06
2.254241.6513637.397485e-06
2.265371.6511067.635525e-06
2.276561.6508477.874741e-06
2.287811.6505858.115138e-06
2.299111.650328.356724e-06
2.310471.6500528.599502e-06
2.321881.6497828.843480e-06
2.3251.6497088.910200e-06
2.333351.6495089.707105e-06
2.344871.6492321.080735e-05
2.356461.6489531.191303e-05
2.36811.6486711.302417e-05
2.37981.6483861.414080e-05
2.391551.6480981.526294e-05
2.403371.6478071.639063e-05
2.415241.6475121.752389e-05
2.427171.6472151.866274e-05
2.439161.6469141.980723e-05
2.451211.646612.095736e-05
2.463311.6463022.211318e-05
2.475481.6459922.327471e-05
2.487711.6456772.444197e-05
2.51.645362.561500e-05

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
—