Optical constants

Refractive index of P-SK57 (SCHOTT)

P-SK57: 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
1.587
Extinction coefficient k
5.61959e-09
Permittivity ε1
2.51856
Permittivity ε2
1.78366e-08
Absorption coefficient α
0.0012018 cm⁻¹
Penetration depth δ = λ/(2πk)
1.66417e+10 nm
Abbe number Vd
59.6
Chromatic dispersion dn/dλ
-0.0509394 µm⁻¹
Group index ng
1.61693
Group velocity dispersion
88.159 fs²/mm
Dispersion parameter D
-480.954 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

# P-SK57 (SCHOTT): P-SK57
schott_p_sk57 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "P-SK57", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_p_sk57.range_nm)  # (320, 2500) nm
eps = schott_p_sk57.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=1.31053414λ2λ2−0.00740877235+0.169376189λ2λ2−0.0254563489+1.10987714λ2λ2−107.751087

Valid from 0.32 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.31053414
C30.00740877235
C40.169376189
C50.0254563489
C61.10987714
C7107.751087

Comments and conditions

suitable for precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.6e-06 9.4e-09 -2.3e-11 4.9e-07 5.96e-10 0.178
nd
1.587
Vd
59.6
glass code
587596.301
glass status
standard
density
value: 3012
thermal expansion
value: 7.23e-06, temperature range: 243 343; value: 8.9e-06, temperature range: 293 573
dPgF
-0.0024
resistance
acid: 52.3; stain: 3.0; alkali: 2.0; climatic: 4.0; phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.87e-06 K⁻¹ at 633 nm, dn/dT = 1.35e-06 K⁻¹ at 1310 nm, dn/dT = 1.31e-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 421 wavelengths, the same grid as the API and the library
P-SK57 (SCHOTT), P-SK57: n and k versus wavelength
λ (µm)nk
0.321.6239171.866700e-06
0.3216531.6233311.708348e-06
0.3233141.6227531.549178e-06
0.3249851.6221831.389186e-06
0.3266631.6216211.228367e-06
0.3283511.6210661.066718e-06
0.3300471.6205189.042335e-07
0.3317521.6199787.409099e-07
0.3334651.6194445.767426e-07
0.3341.619285.255100e-07
0.3351881.6189174.980173e-07
0.3369191.6183984.579395e-07
0.3386591.6178854.176547e-07
0.3404091.6173783.771618e-07
0.3421671.6168793.364597e-07
0.3439351.6163852.955475e-07
0.3457111.6158982.544238e-07
0.3474971.6154172.130878e-07
0.3492921.6149421.715382e-07
0.351.6147571.551500e-07
0.3510961.6144731.481663e-07
0.352911.614011.366130e-07
0.3547331.6135531.250001e-07
0.3565651.6131021.133272e-07
0.3584071.6126561.015940e-07
0.3602581.6122168.980016e-08
0.3621191.6117817.794541e-08
0.363991.6113526.602943e-08
0.3651.6111235.959400e-08
0.365871.6109285.759027e-08
0.367761.6105095.323746e-08
0.369661.6100954.886216e-08
0.371.6100224.807800e-08
0.3715691.6096864.572920e-08
0.3734881.6092834.285595e-08
0.3754181.6088843.996787e-08
0.3773571.608493.706486e-08
0.3793061.6081013.414686e-08
0.381.6079643.310800e-08
0.3812651.6077163.209219e-08
0.3832351.6073363.051113e-08
0.3852141.6069612.892192e-08
0.3872041.606592.732449e-08
0.3892041.6062242.571881e-08
0.391.606082.508000e-08
0.3912151.6058622.452816e-08
0.3932361.6055042.361010e-08
0.3952671.605152.268731e-08
0.3973091.6048012.175974e-08
0.3993611.6044562.082738e-08
0.41.6043492.053700e-08
0.4014241.6041152.023717e-08
0.4034971.6037771.980048e-08
0.4051.6035371.948400e-08
0.4055821.6034441.940685e-08
0.4076771.6031151.912891e-08
0.4097821.6027891.884954e-08
0.4118991.6024671.856872e-08
0.4140271.6021491.828645e-08
0.4161651.6018351.800272e-08
0.4183151.6015241.771753e-08
0.421.6012841.749400e-08
0.4204761.6012171.743026e-08
0.4226481.6009131.713935e-08
0.4248311.6006131.684694e-08
0.4270261.6003161.655302e-08
0.4292311.6000231.625758e-08
0.4314491.5997321.596061e-08
0.4336771.5994461.566212e-08
0.4359171.5991621.536207e-08
0.4361.5991511.535100e-08
0.4381691.5988811.516003e-08
0.4404321.5986041.496076e-08
0.4427071.598331.476047e-08
0.4449941.5980591.455913e-08
0.4472931.5977911.435676e-08
0.4496031.5975251.415334e-08
0.4519261.5972631.394887e-08
0.454261.5970041.374334e-08
0.4566071.5967471.353676e-08
0.4589651.5964941.332910e-08
0.461.5963841.323800e-08
0.4613361.5962431.306230e-08
0.4637191.5959951.274892e-08
0.4661141.5957491.243391e-08
0.4685221.5955061.211728e-08
0.4709421.5952661.179901e-08
0.4733751.5950291.147910e-08
0.475821.5947931.115754e-08
0.4782781.5945611.083431e-08
0.4807481.5943311.050942e-08
0.4832321.5941031.018285e-08
0.4857281.5938789.854586e-09
0.4882371.5936569.524630e-09
0.4907591.5934359.192971e-09
0.4932941.5932178.859598e-09
0.4958421.5930028.524503e-09
0.4984031.5927888.187678e-09
0.51.5926577.977700e-09
0.5009781.5925777.919119e-09
0.5035661.5923687.764082e-09
0.5061671.5921617.608244e-09
0.5087811.5919567.451601e-09
0.5114091.5917547.294149e-09
0.5140511.5915537.135884e-09
0.5167061.5913556.976801e-09
0.5193761.5911586.816897e-09
0.5220581.5909646.656166e-09
0.5247551.5907726.494605e-09
0.5274661.5905816.332210e-09
0.530191.5903936.168976e-09
0.5329291.5902066.004898e-09
0.5356821.5900215.839973e-09
0.5384491.5898395.674196e-09
0.541231.5896575.507563e-09
0.5440261.5894785.340069e-09
0.5461.5893535.221800e-09
0.5468361.5893015.229794e-09
0.5496611.5891255.256803e-09
0.55251.5889515.283952e-09
0.5553541.5887795.311240e-09
0.5582231.5886085.338670e-09
0.5611061.5884395.366241e-09
0.5640041.5882725.393955e-09
0.5669181.5881075.421812e-09
0.5698461.5879435.449812e-09
0.572791.587785.477958e-09
0.5757491.5876195.506249e-09
0.5787231.587465.534685e-09
0.581.5873925.546900e-09
0.5817121.5873025.563275e-09
0.5847171.5871465.592016e-09
0.5877371.5869915.620906e-09
0.5907731.5868375.649944e-09
0.5938251.5866855.679133e-09
0.5968921.5865355.708473e-09
0.5999751.5863865.737964e-09
0.6030741.5862385.767608e-09
0.606191.5860915.797404e-09
0.6093211.5859465.827355e-09
0.6124681.5858025.857460e-09
0.6156321.585665.887721e-09
0.6188121.5855195.918138e-09
0.621.5854665.929500e-09
0.6220091.5853795.948707e-09
0.6252221.585245.979431e-09
0.6284511.5851036.010314e-09
0.6316971.5849666.041356e-09
0.634961.5848316.072559e-09
0.638241.5846976.103923e-09
0.6415371.5845656.135449e-09
0.6448511.5844336.167137e-09
0.6481821.5843036.198990e-09
0.651531.5841736.231007e-09
0.6548961.5840456.263189e-09
0.6582781.5839186.295538e-09
0.661.5838546.312000e-09
0.6616791.5837926.328058e-09
0.6650971.5836676.360750e-09
0.6685321.5835436.393611e-09
0.6719861.583426.426641e-09
0.6754571.5832986.459843e-09
0.6789461.5831776.493216e-09
0.6824531.5830576.526761e-09
0.6859781.5829386.560480e-09
0.6895211.582826.594372e-09
0.6930831.5827036.628440e-09
0.6966631.5825866.662684e-09
0.71.5824796.694600e-09
0.7002621.5824716.697104e-09
0.7038791.5823576.731692e-09
0.7075151.5822436.766459e-09
0.711171.582136.801406e-09
0.7148431.5820186.836533e-09
0.7185361.5819076.871842e-09
0.7222471.5817976.907333e-09
0.7259781.5816886.943007e-09
0.7297281.5815796.978866e-09
0.7334971.5814717.014910e-09
0.7372861.5813647.051140e-09
0.7410951.5812587.087557e-09
0.7449231.5811527.124162e-09
0.7487711.5810487.160957e-09
0.7526391.5809437.197941e-09
0.7565261.580847.235117e-09
0.7604341.5807377.272484e-09
0.7643621.5806357.310045e-09
0.768311.5805347.347799e-09
0.7722791.5804337.385749e-09
0.7762681.5803337.423894e-09
0.7802781.5802347.462237e-09
0.7843091.5801357.500778e-09
0.788361.5800377.539517e-09
0.7924321.5799397.578457e-09
0.7965261.5798427.617598e-09
0.800641.5797467.656942e-09
0.8047761.579657.696488e-09
0.8089331.5795547.736239e-09
0.8131111.579467.776195e-09
0.8173111.5793657.816357e-09
0.8215331.5792727.856727e-09
0.8257771.5791797.897306e-09
0.8300421.5790867.938094e-09
0.834331.5789947.979092e-09
0.838641.5789028.020303e-09
0.8429721.5788118.061726e-09
0.8473261.578728.103364e-09
0.8517031.5786298.145216e-09
0.8561021.578548.187285e-09
0.8605241.578458.229571e-09
0.864971.5783618.272075e-09
0.8694371.5782728.314799e-09
0.8739291.5781848.357744e-09
0.8784431.5780968.400910e-09
0.882981.5780098.444299e-09
0.8875411.5779218.487913e-09
0.8921261.5778358.531752e-09
0.8967341.5777488.575817e-09
0.9013661.5776628.620110e-09
0.9060221.5775768.664632e-09
0.9107021.5774918.709383e-09
0.9154071.5774068.754366e-09
0.9201351.5773218.799581e-09
0.9248881.5772368.845030e-09
0.9296661.5771528.890713e-09
0.9344681.5770688.936633e-09
0.9392951.5769848.982790e-09
0.9441471.57699.029185e-09
0.9490241.5768179.075820e-09
0.9539261.5767349.122695e-09
0.9588531.5766519.169813e-09
0.9638061.5765689.217174e-09
0.9687851.5764869.264780e-09
0.9737891.5764049.312632e-09
0.9788191.5763229.360731e-09
0.9838751.576249.409078e-09
0.9889571.5761589.457675e-09
0.9940661.5760769.506523e-09
0.9992011.5759959.555624e-09
1.004361.5759139.604978e-09
1.009551.5758329.654587e-09
1.014761.5757519.704452e-09
1.020011.575679.754575e-09
1.025281.5755899.804956e-09
1.030571.5755099.855598e-09
1.035891.5754289.906502e-09
1.041251.5753479.957669e-09
1.046621.5752671.000910e-08
1.052031.5751861.006080e-08
1.057461.5751061.011276e-08
1.061.5750681.013700e-08
1.062931.5750251.074863e-08
1.068421.5749451.189584e-08
1.073941.5748641.304897e-08
1.079481.5747841.420806e-08
1.085061.5747041.537314e-08
1.090671.5746231.654424e-08
1.09631.5745431.772138e-08
1.101961.5744621.890460e-08
1.107651.5743822.009394e-08
1.113381.5743012.128942e-08
1.119131.5742212.249108e-08
1.124911.574142.369894e-08
1.130721.5740592.491304e-08
1.136561.5739782.613341e-08
1.142431.5738972.736009e-08
1.148331.5738162.859311e-08
1.154261.5737352.983249e-08
1.160231.5736543.107827e-08
1.166221.5735733.233049e-08
1.172241.5734913.358918e-08
1.17831.5734093.485437e-08
1.184381.5733283.612609e-08
1.19051.5732463.740439e-08
1.196651.5731633.868929e-08
1.202831.5730813.998082e-08
1.209051.5729984.127903e-08
1.215291.5729164.258394e-08
1.221571.5728334.389559e-08
1.227881.5727494.521402e-08
1.234221.5726664.653925e-08
1.24061.5725824.787134e-08
1.2471.5724984.921030e-08
1.253451.5724145.055618e-08
1.259921.572335.190901e-08
1.266431.5722455.326884e-08
1.272971.572165.463568e-08
1.279551.5720755.600959e-08
1.286161.5719895.739059e-08
1.29281.5719035.877872e-08
1.299481.5718176.017403e-08
1.306191.571736.157654e-08
1.312941.5716436.298630e-08
1.319721.5715566.440334e-08
1.326541.5714686.582770e-08
1.333391.571386.725942e-08
1.340281.5712916.869853e-08
1.34721.5712027.014508e-08
1.354161.5711137.159910e-08
1.361151.5710237.306063e-08
1.368181.5709337.452970e-08
1.375251.5708427.600637e-08
1.382351.5707517.749067e-08
1.38951.570667.898263e-08
1.396671.5705688.048230e-08
1.403891.5704758.198971e-08
1.411141.5703828.350492e-08
1.418431.5702898.502795e-08
1.425761.5701958.655884e-08
1.433121.57018.809765e-08
1.440521.5700058.964440e-08
1.447961.5699099.119914e-08
1.455441.5698139.276191e-08
1.462961.5697169.433276e-08
1.470521.5696199.591172e-08
1.478111.5695219.749884e-08
1.485751.5694229.909415e-08
1.493421.5693231.006977e-07
1.501141.5692231.023095e-07
1.508891.5691231.039297e-07
1.516691.5690221.055582e-07
1.524521.568921.071952e-07
1.531.5688491.083400e-07
1.53241.5688171.117290e-07
1.540311.5687141.229261e-07
1.548271.568611.341811e-07
1.556271.5685061.454942e-07
1.56431.56841.568657e-07
1.572381.5682941.682960e-07
1.580511.5681871.797853e-07
1.588671.568081.913340e-07
1.596881.5679712.029423e-07
1.605131.5678622.146106e-07
1.613421.5677522.263391e-07
1.621751.5676412.381282e-07
1.630131.567532.499783e-07
1.638551.5674172.618895e-07
1.647011.5673042.738623e-07
1.655521.567192.858969e-07
1.664071.5670742.979937e-07
1.672671.5669583.101530e-07
1.681311.5668413.223750e-07
1.689991.5667233.346602e-07
1.698721.5666053.470089e-07
1.70751.5664853.594213e-07
1.716321.5663643.718979e-07
1.725181.5662423.844389e-07
1.734091.5661193.970447e-07
1.743051.5659964.097156e-07
1.752061.5658714.224520e-07
1.761111.5657454.352542e-07
1.77021.5656184.481224e-07
1.779351.565494.610572e-07
1.788541.5653614.740588e-07
1.797781.565234.871275e-07
1.807061.5650995.002637e-07
1.81641.5649665.134678e-07
1.825781.5648335.267401e-07
1.835211.5646985.400810e-07
1.844691.5645615.534907e-07
1.854221.5644245.669698e-07
1.86381.5642855.805184e-07
1.873421.5641465.941371e-07
1.88311.5640046.078261e-07
1.892831.5638626.215858e-07
1.902611.5637186.354165e-07
1.912431.5635736.493187e-07
1.922311.5634276.632928e-07
1.932241.5632796.773390e-07
1.942221.563136.914578e-07
1.952261.5629797.056495e-07
1.962341.5628277.199145e-07
1.971.5627117.307500e-07
1.972481.5626747.495061e-07
1.982671.5625198.266726e-07
1.992911.5623639.042378e-07
2.00321.5622059.822036e-07
2.013551.5620451.060572e-06
2.023951.5618841.139346e-06
2.03441.5617221.218526e-06
2.044911.5615581.298115e-06
2.055481.5613921.378115e-06
2.066091.5612241.458529e-06
2.076771.5610551.539358e-06
2.087491.5608851.620605e-06
2.098281.5607121.702271e-06
2.109111.5605381.784359e-06
2.120011.5603621.866871e-06
2.130961.5601841.949809e-06
2.141971.5600052.033176e-06
2.153031.5598232.116973e-06
2.164151.559642.201204e-06
2.175331.5594552.285869e-06
2.186571.5592682.370971e-06
2.197861.5590792.456514e-06
2.209221.5588882.542498e-06
2.220631.5586962.628926e-06
2.23211.5585012.715801e-06
2.243631.5583042.803124e-06
2.255221.5581052.890899e-06
2.266871.5579042.979127e-06
2.278581.5577013.067810e-06
2.290351.5574953.156952e-06
2.302181.5572883.246554e-06
2.314071.5570783.336619e-06
2.3251.5568853.419400e-06
2.326021.5568663.442040e-06
2.338041.5566523.707895e-06
2.350121.5564363.975124e-06
2.362251.5562174.243733e-06
2.374461.5559964.513729e-06
2.386721.5557724.785120e-06
2.399051.5555465.057913e-06
2.411441.5553185.332115e-06
2.42391.5550875.607733e-06
2.436421.5548535.884775e-06
2.449011.5546176.163249e-06
2.461661.5543786.443160e-06
2.474371.5541376.724518e-06
2.487151.5538937.007328e-06
2.51.5536467.291600e-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
—