Optical constants

Refractive index of N-KZFS4HT (SCHOTT)

N-KZFS4HT: n,k 0.32–2.5 µm

Data
formula 2 + tabulated k
Range
0.32–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.32–2.5 µm
Refractive index n
1.61336
Extinction coefficient k
1.35168e-08
Permittivity ε1
2.60292
Permittivity ε2
4.36148e-08
Absorption coefficient α
0.00289069 cm⁻¹
Penetration depth δ = λ/(2πk)
6.91877e+09 nm
Abbe number Vd
44.494
Chromatic dispersion dn/dλ
-0.070711 µm⁻¹
Group index ng
1.65491
Group velocity dispersion
128.369 fs²/mm
Dispersion parameter D
-700.321 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

# N-KZFS4HT (SCHOTT): N-KZFS4HT
schott_n_kzfs4ht = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-KZFS4HT", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_kzfs4ht.range_nm)  # (320, 2500) nm
eps = schott_n_kzfs4ht.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=1.35055424λ2λ2−0.0087628207+0.197575506λ2λ2−0.0371767201+1.09962992λ2λ2−90.3866994

Valid from 0.32 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.35055424
C30.0087628207
C40.197575506
C50.0371767201
C61.09962992
C790.3866994

Comments and conditions

suitable for precision molding. step 0.5 available

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.81e-06 1.16e-08 -7.99e-12 6.2e-07 7.94e-10 0.205
nd
1.61336
Vd
44.49
glass code
613445.300
glass status
standard
density
value: 3002
thermal expansion
value: 7.3e-06, temperature range: 243 343; value: 8.2e-06, temperature range: 293 573
dPgF
-0.01
resistance
acid: 3.4; stain: 1.0; alkali: 1.2; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.75e-06 K⁻¹ at 633 nm, dn/dT = 1.05e-06 K⁻¹ at 1310 nm, dn/dT = 9.95e-07 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 421 wavelengths, the same grid as the API and the library
N-KZFS4HT (SCHOTT), N-KZFS4HT: n and k versus wavelength
λ (µm)nk
0.321.6690986.330100e-06
0.3216531.668135.771082e-06
0.3233141.6671785.209176e-06
0.3249851.6662424.644368e-06
0.3266631.6653224.076643e-06
0.3283511.6644163.505984e-06
0.3300471.6635262.932378e-06
0.3317521.6626492.355810e-06
0.3334651.6617871.776262e-06
0.3341.6615221.595400e-06
0.3351881.6609391.506467e-06
0.3369191.6601041.376825e-06
0.3386591.6592821.246513e-06
0.3404091.6584731.115527e-06
0.3421671.6576779.838656e-07
0.3439351.6568938.515237e-07
0.3457111.6561217.184981e-07
0.3474971.6553615.847855e-07
0.3492921.6546124.503821e-07
0.351.6543213.973700e-07
0.3510961.6538743.797638e-07
0.352911.6531483.506377e-07
0.3547331.6524333.213611e-07
0.3565651.6517282.919332e-07
0.3584071.6510332.623534e-07
0.3602581.6503492.326208e-07
0.3621191.6496742.027345e-07
0.363991.649011.726940e-07
0.3651.6486561.564700e-07
0.365871.6483551.506081e-07
0.367761.6477091.378740e-07
0.369661.6470731.250741e-07
0.371.646961.227800e-07
0.3715691.6464451.164740e-07
0.3734881.6458271.087600e-07
0.3754181.6452171.010062e-07
0.3773571.6446169.321226e-08
0.3793061.6440238.537811e-08
0.381.6438158.258900e-08
0.3812651.6434388.003061e-08
0.3832351.6428627.604864e-08
0.3852141.6422937.204610e-08
0.3872041.6417326.802288e-08
0.3892041.6411796.397888e-08
0.391.6409626.237000e-08
0.3912151.6406336.078554e-08
0.3932361.6400955.814959e-08
0.3952671.6395645.550002e-08
0.3973091.639045.283677e-08
0.3993611.6385235.015976e-08
0.41.6383644.932600e-08
0.4014241.6380124.797861e-08
0.4034971.6375094.601620e-08
0.4051.637154.459400e-08
0.4055821.6370124.439043e-08
0.4076771.6365224.365703e-08
0.4097821.6360384.291984e-08
0.4118991.635564.217885e-08
0.4140271.6350894.143403e-08
0.4161651.6346244.068536e-08
0.4183151.6341643.993282e-08
0.421.633813.934300e-08
0.4204761.6337113.921789e-08
0.4226481.6332633.864694e-08
0.4248311.6328213.807303e-08
0.4270261.6323853.749616e-08
0.4292311.6319543.691631e-08
0.4314491.6315283.633347e-08
0.4336771.6311083.574762e-08
0.4359171.6306933.515874e-08
0.4361.6306783.513700e-08
0.4381691.6302833.463487e-08
0.4404321.6298783.411090e-08
0.4427071.6294793.358423e-08
0.4449941.6290843.305483e-08
0.4472931.6286943.252270e-08
0.4496031.6283093.198783e-08
0.4519261.6279283.145019e-08
0.454261.6275523.090977e-08
0.4566071.6271813.036656e-08
0.4589651.6268142.982054e-08
0.461.6266552.958100e-08
0.4613361.6264512.923473e-08
0.4637191.6260932.861711e-08
0.4661141.6257392.799630e-08
0.4685221.625392.737228e-08
0.4709421.6250442.674504e-08
0.4733751.6247032.611456e-08
0.475821.6243652.548082e-08
0.4782781.6240322.484381e-08
0.4807481.6237022.420351e-08
0.4832321.6233762.355990e-08
0.4857281.6230542.291297e-08
0.4882371.6227362.226269e-08
0.4907591.6224212.160906e-08
0.4932941.622112.095204e-08
0.4958421.6218032.029164e-08
0.4984031.6214991.962782e-08
0.51.6213121.921400e-08
0.5009781.6211981.906510e-08
0.5035661.6209011.867102e-08
0.5061671.6206071.827491e-08
0.5087811.6203171.787675e-08
0.5114091.6200291.747654e-08
0.5140511.6197451.707426e-08
0.5167061.6194651.666990e-08
0.5193761.6191871.626345e-08
0.5220581.6189121.585490e-08
0.5247551.6186411.544424e-08
0.5274661.6183721.503146e-08
0.530191.6181061.461655e-08
0.5329291.6178431.419949e-08
0.5356821.6175831.378028e-08
0.5384491.6173261.335891e-08
0.541231.6170721.293536e-08
0.5440261.616821.250962e-08
0.5461.6166451.220900e-08
0.5468361.6165711.222769e-08
0.5496611.6163251.229083e-08
0.55251.6160811.235429e-08
0.5553541.615841.241809e-08
0.5582231.6156011.248221e-08
0.5611061.6153651.254667e-08
0.5640041.6151321.261145e-08
0.5669181.6149011.267658e-08
0.5698461.6146721.274203e-08
0.572791.6144451.280783e-08
0.5757491.6142211.287397e-08
0.5787231.6141.294045e-08
0.581.6139051.296900e-08
0.5817121.613781.309239e-08
0.5847171.6135631.330896e-08
0.5877371.6133481.352665e-08
0.5907731.6131351.374547e-08
0.5938251.6129241.396542e-08
0.5968921.6127161.418650e-08
0.5999751.6125091.440872e-08
0.6030741.6123041.463209e-08
0.606191.6121021.485662e-08
0.6093211.6119011.508231e-08
0.6124681.6117031.530916e-08
0.6156321.6115061.553718e-08
0.6188121.6113121.576638e-08
0.621.611241.585200e-08
0.6220091.6111191.579707e-08
0.6252221.6109281.570919e-08
0.6284511.6107391.562086e-08
0.6316971.6105511.553208e-08
0.634961.6103661.544283e-08
0.638241.6101821.535313e-08
0.6415371.611.526296e-08
0.6448511.6098191.517233e-08
0.6481821.6096411.508122e-08
0.651531.6094641.498965e-08
0.6548961.6092881.489761e-08
0.6582781.6091141.480508e-08
0.661.6090271.475800e-08
0.6616791.6089421.470138e-08
0.6650971.6087711.458611e-08
0.6685321.6086021.447025e-08
0.6719861.6084341.435379e-08
0.6754571.6082681.423672e-08
0.6789461.6081031.411906e-08
0.6824531.607941.400078e-08
0.6859781.6077781.388189e-08
0.6895211.6076181.376239e-08
0.6930831.6074581.364227e-08
0.6966631.6073011.352153e-08
0.71.6071561.340900e-08
0.7002621.6071441.340170e-08
0.7038791.6069891.330089e-08
0.7075151.6068351.319956e-08
0.711171.6066831.309770e-08
0.7148431.6065321.299532e-08
0.7185361.6063811.289241e-08
0.7222471.6062331.278897e-08
0.7259781.6060851.268499e-08
0.7297281.6059391.258048e-08
0.7334971.6057931.247543e-08
0.7372861.6056491.236983e-08
0.7410951.6055061.226369e-08
0.7449231.6053641.215700e-08
0.7487711.6052231.204976e-08
0.7526391.6050831.194196e-08
0.7565261.6049451.183361e-08
0.7604341.6048071.172470e-08
0.7643621.604671.161523e-08
0.768311.6045351.150519e-08
0.7722791.60441.139458e-08
0.7762681.6042661.128340e-08
0.7802781.6041331.117165e-08
0.7843091.6040011.105932e-08
0.788361.603871.094641e-08
0.7924321.603741.083291e-08
0.7965261.6036111.071883e-08
0.800641.6034831.060416e-08
0.8047761.6033551.048890e-08
0.8089331.6032291.037305e-08
0.8131111.6031031.025659e-08
0.8173111.6029781.013953e-08
0.8215331.6028541.002187e-08
0.8257771.602739.903601e-09
0.8300421.6026089.784720e-09
0.834331.6024869.665225e-09
0.838641.6023649.545114e-09
0.8429721.6022449.424381e-09
0.8473261.6021249.303025e-09
0.8517031.6020059.181042e-09
0.8561021.6018879.058429e-09
0.8605241.6017698.935183e-09
0.864971.6016528.811300e-09
0.8694371.6015358.686777e-09
0.8739291.6014198.561611e-09
0.8784431.6013048.435798e-09
0.882981.6011898.309336e-09
0.8875411.6010758.182220e-09
0.8921261.6009618.054448e-09
0.8967341.6008487.926015e-09
0.9013661.6007367.796919e-09
0.9060221.6006247.667157e-09
0.9107021.6005127.536724e-09
0.9154071.6004017.405617e-09
0.9201351.6002917.273833e-09
0.9248881.6001817.141369e-09
0.9296661.6000717.008220e-09
0.9344681.5999626.874383e-09
0.9392951.5998536.739855e-09
0.9441471.5997456.604632e-09
0.9490241.5996376.468711e-09
0.9539261.5995296.332087e-09
0.9588531.5994226.194758e-09
0.9638061.5993156.056719e-09
0.9687851.5992095.917968e-09
0.9737891.5991035.778499e-09
0.9788191.5989975.638311e-09
0.9838751.5988925.497398e-09
0.9889571.5987865.355757e-09
0.9940661.5986815.213385e-09
0.9992011.5985775.070277e-09
1.004361.5984724.926430e-09
1.009551.5983684.781839e-09
1.014761.5982644.636502e-09
1.020011.5981614.490415e-09
1.025281.5980574.343572e-09
1.030571.5979544.195971e-09
1.035891.5978514.047608e-09
1.041251.5977483.898478e-09
1.046621.5976463.748578e-09
1.052031.5975433.597904e-09
1.057461.5974413.446452e-09
1.061.5973933.375800e-09
1.062931.5973384.561438e-09
1.068421.5972366.785272e-09
1.073941.5971349.020594e-09
1.079481.5970321.126746e-08
1.085061.596931.352594e-08
1.090671.5968291.579608e-08
1.09631.5967271.807794e-08
1.101961.5966252.037159e-08
1.107651.5965242.267710e-08
1.113381.5964222.499451e-08
1.119131.596322.732389e-08
1.124911.5962192.966530e-08
1.130721.5961173.201881e-08
1.136561.5960153.438447e-08
1.142431.5959143.676236e-08
1.148331.5958123.915252e-08
1.154261.595714.155504e-08
1.160231.5956084.396996e-08
1.166221.5955074.639736e-08
1.172241.5954044.883730e-08
1.17831.5953025.128984e-08
1.184381.59525.375505e-08
1.19051.5950985.623299e-08
1.196651.5949955.872373e-08
1.202831.5948936.122734e-08
1.209051.594796.374388e-08
1.215291.5946876.627342e-08
1.221571.5945846.881603e-08
1.227881.594487.137177e-08
1.234221.5943767.394071e-08
1.24061.5942737.652292e-08
1.2471.5941697.911847e-08
1.253451.5940648.172743e-08
1.259921.593968.434987e-08
1.266431.5938558.698585e-08
1.272971.593758.963544e-08
1.279551.5936449.229872e-08
1.286161.5935389.497576e-08
1.29281.5934329.766663e-08
1.299481.5933261.003714e-07
1.306191.5932191.030901e-07
1.312941.5931121.058229e-07
1.319721.5930051.085698e-07
1.326541.5928971.113309e-07
1.333391.5927881.141063e-07
1.340281.592681.168959e-07
1.34721.5925711.197000e-07
1.354161.5924611.225186e-07
1.361151.5923511.253518e-07
1.368181.5922411.281995e-07
1.375251.592131.310620e-07
1.382351.5920181.339393e-07
1.38951.5919061.368314e-07
1.396671.5917941.397385e-07
1.403891.5916811.426606e-07
1.411141.5915671.455978e-07
1.418431.5914531.485501e-07
1.425761.5913381.515177e-07
1.433121.5912231.545007e-07
1.440521.5911071.574990e-07
1.447961.5909911.605128e-07
1.455441.5908741.635422e-07
1.462961.5907561.665873e-07
1.470521.5906381.696481e-07
1.478111.5905191.727247e-07
1.485751.5903991.758171e-07
1.493421.5902791.789256e-07
1.501141.5901571.820501e-07
1.508891.5900361.851908e-07
1.516691.5899131.883476e-07
1.524521.589791.915208e-07
1.531.5897031.937400e-07
1.53241.5896661.970110e-07
1.540311.5895412.078183e-07
1.548271.5894152.186814e-07
1.556271.5892882.296006e-07
1.56431.5891612.405762e-07
1.572381.5890332.516085e-07
1.580511.5889042.626978e-07
1.588671.5887742.738444e-07
1.596881.5886432.850486e-07
1.605131.5885112.963106e-07
1.613421.5883783.076308e-07
1.621751.5882453.190095e-07
1.630131.588113.304470e-07
1.638551.5879753.419435e-07
1.647011.5878383.534994e-07
1.655521.58773.651150e-07
1.664071.5875623.767906e-07
1.672671.5874223.885266e-07
1.681311.5872814.003231e-07
1.689991.5871394.121806e-07
1.698721.5869974.240993e-07
1.70751.5868524.360796e-07
1.716321.5867074.481218e-07
1.725181.5865614.602262e-07
1.734091.5864134.723931e-07
1.743051.5862654.846229e-07
1.752061.5861154.969158e-07
1.761111.5859645.092722e-07
1.77021.5858115.216925e-07
1.779351.5856575.341769e-07
1.788541.5855025.467258e-07
1.797781.5853465.593395e-07
1.807061.5851895.720184e-07
1.81641.585035.847628e-07
1.825781.5848695.975730e-07
1.835211.5847076.104493e-07
1.844691.5845446.233922e-07
1.854221.584386.364020e-07
1.86381.5842146.494789e-07
1.873421.5840466.626234e-07
1.88311.5838776.758358e-07
1.892831.5837066.891164e-07
1.902611.5835347.024657e-07
1.912431.5833617.158839e-07
1.922311.5831857.293714e-07
1.932241.5830087.429286e-07
1.942221.582837.565558e-07
1.952261.5826497.702534e-07
1.962341.5824687.840217e-07
1.971.5823297.944800e-07
1.972481.5822848.261896e-07
1.982671.5820989.566500e-07
1.992911.5819111.087784e-06
2.00321.5817221.219596e-06
2.013551.5815321.352088e-06
2.023951.5813391.485265e-06
2.03441.5811441.619130e-06
2.044911.5809481.753686e-06
2.055481.580751.888937e-06
2.066091.5805492.024887e-06
2.076771.5803472.161539e-06
2.087491.5801432.298898e-06
2.098281.5799372.436965e-06
2.109111.5797282.575746e-06
2.120011.5795182.715243e-06
2.130961.5793052.855462e-06
2.141971.579092.996404e-06
2.153031.5788733.138075e-06
2.164151.5786543.280477e-06
2.175331.5784333.423615e-06
2.186571.5782093.567492e-06
2.197861.5779833.712113e-06
2.209221.5777543.857480e-06
2.220631.5775244.003599e-06
2.23211.577294.150472e-06
2.243631.5770554.298104e-06
2.255221.5768174.446498e-06
2.266871.5765764.595659e-06
2.278581.5763334.745591e-06
2.290351.5760874.896297e-06
2.302181.5758385.047781e-06
2.314071.5755875.200048e-06
2.3251.5753555.340000e-06
2.326021.5753335.387038e-06
2.338041.5750775.939387e-06
2.350121.5748176.494589e-06
2.362251.5745557.052659e-06
2.374461.574297.613611e-06
2.386721.5740228.177461e-06
2.399051.5737518.744224e-06
2.411441.5734779.313915e-06
2.42391.57329.886548e-06
2.436421.572921.046214e-05
2.449011.5726371.104070e-05
2.461661.572351.162226e-05
2.474371.5720611.220681e-05
2.487151.5717681.279439e-05
2.51.5714721.338500e-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
—