Optical constants

Refractive index of P-SK57Q1 (SCHOTT)

P-SK57Q1: n,k 0.31–2.5 µm

Data
formula 2 + tabulated k
Range
0.31–2.5 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 320-2500 nm only; k = 0 elsewhere in the n range 310-2500 nm.

At one wavelength

Range 0.31–2.5 µm
Refractive index n
1.586
Extinction coefficient k
5.61959e-09
Permittivity ε1
2.51539
Permittivity ε2
1.78253e-08
Absorption coefficient α
0.0012018 cm⁻¹
Penetration depth δ = λ/(2πk)
1.66417e+10 nm
Abbe number Vd
59.5
Chromatic dispersion dn/dλ
-0.0509342 µm⁻¹
Group index ng
1.61593
Group velocity dispersion
88.1721 fs²/mm
Dispersion parameter D
-481.026 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-SK57Q1 (SCHOTT): P-SK57Q1
schott_p_sk57q1 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "P-SK57Q1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_p_sk57q1.range_nm)  # (310, 2500) nm
eps = schott_p_sk57q1.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=1.30536483λ2λ2−0.00736408831+0.171434328λ2λ2−0.0255786047+1.10117219λ2λ2−106.72606

Valid from 0.31 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.30536483
C30.00736408831
C40.171434328
C50.0255786047
C61.10117219
C7106.72606

Comments and conditions

suitable for precision molding

Properties

nd
1.586
Vd
59.5
glass code
586595.301
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
Notes on the source data (kept exactly as published):
  • k data cover 320-2500 nm only; k = 0 elsewhere in the n range 310-2500 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 422 wavelengths, the same grid as the API and the library
P-SK57Q1 (SCHOTT), P-SK57Q1: n and k versus wavelength
λ (µm)nk
0.311.6267510
0.3116261.6261020
0.3132611.6254630
0.3149041.6248320
0.3165561.6242110
0.3182161.6235970
0.3198851.6229930
0.321.6229521.866700e-06
0.3215631.6223961.716930e-06
0.323251.6218081.555340e-06
0.3249461.6212281.392903e-06
0.326651.6206551.229614e-06
0.3283641.620091.065468e-06
0.3300861.6195339.004610e-07
0.3318181.6189837.345886e-07
0.3335581.6184415.678461e-07
0.3341.6183055.255100e-07
0.3353081.6179064.952390e-07
0.3370671.6173774.545260e-07
0.3388351.6168564.135995e-07
0.3406121.6163423.724584e-07
0.3423991.6158343.311014e-07
0.3441951.6153332.895275e-07
0.3461.6148392.477355e-07
0.3478151.614352.057243e-07
0.349641.6138691.634927e-07
0.351.6137751.551500e-07
0.3514741.6133931.457625e-07
0.3533171.6129241.340178e-07
0.3551711.612461.222114e-07
0.3570341.6120021.103431e-07
0.3589061.6115519.841255e-08
0.3607891.6111058.641942e-08
0.3626821.6106647.436338e-08
0.3645841.6102296.224410e-08
0.3651.6101355.959400e-08
0.3664961.60985.614746e-08
0.3684191.6093765.171968e-08
0.371.6090324.807800e-08
0.3703511.6089574.755197e-08
0.3722941.6085434.464379e-08
0.3742471.6081354.172036e-08
0.376211.6077313.878160e-08
0.3781831.6073333.582742e-08
0.381.6069723.310800e-08
0.3801671.6069393.297379e-08
0.3821611.6065513.137289e-08
0.3841661.6061672.976358e-08
0.3861811.6057872.814583e-08
0.3882071.6054132.651960e-08
0.391.6050862.508000e-08
0.3902431.6050432.496956e-08
0.392291.6046772.403960e-08
0.3943481.6043162.310476e-08
0.3964161.6039592.216503e-08
0.3984961.6036062.122036e-08
0.41.6033552.053700e-08
0.4005861.6032582.041357e-08
0.4026871.6029131.997104e-08
0.40481.6025731.952619e-08
0.4051.6025411.948400e-08
0.4069231.6022371.922888e-08
0.4090581.6019051.894570e-08
0.4112031.6015761.866104e-08
0.413361.6012521.837488e-08
0.4155281.6009311.808723e-08
0.4177081.6006151.779806e-08
0.4198991.6003011.750738e-08
0.421.6002871.749400e-08
0.4221021.5999921.721250e-08
0.4243161.5996861.691595e-08
0.4265421.5993841.661784e-08
0.4287791.5990851.631816e-08
0.4310281.5987891.601692e-08
0.4332891.5984971.571409e-08
0.4355621.5982091.540968e-08
0.4361.5981531.535100e-08
0.4378471.5979231.518842e-08
0.4401431.5976411.498621e-08
0.4424521.5973621.478295e-08
0.4447731.5970861.457861e-08
0.4471061.5968141.437321e-08
0.4494511.5965441.416672e-08
0.4518091.5962771.395916e-08
0.4541791.5960141.375050e-08
0.4565611.5957531.354076e-08
0.4589561.5954961.332991e-08
0.461.5953841.323800e-08
0.4613641.5952411.305868e-08
0.4637841.5949891.274043e-08
0.4662161.5947391.242050e-08
0.4686621.5944931.209889e-08
0.471121.5942491.177560e-08
0.4735921.5940081.145061e-08
0.4760761.593771.112392e-08
0.4785731.5935341.079552e-08
0.4810831.5933011.046539e-08
0.4836071.593071.013353e-08
0.4861441.5928429.799926e-09
0.4886941.5926169.464574e-09
0.4912571.5923929.127464e-09
0.4938341.5921718.788586e-09
0.4964241.5919538.447930e-09
0.4990281.5917378.105487e-09
0.51.5916577.977700e-09
0.5016461.5915237.879091e-09
0.5042771.5913117.721443e-09
0.5069221.5911027.562968e-09
0.5095821.5908947.403663e-09
0.5122551.5906897.243521e-09
0.5149421.5904867.082539e-09
0.5176431.5902866.920713e-09
0.5203581.5900876.758039e-09
0.5230871.589896.594511e-09
0.5258311.5896966.430125e-09
0.528591.5895036.264876e-09
0.5313621.5893126.098761e-09
0.5341491.5891245.931775e-09
0.5369511.5889375.763913e-09
0.5397681.5887525.595170e-09
0.5425991.5885695.425542e-09
0.5454451.5883885.255024e-09
0.5461.5883535.221800e-09
0.5483071.5882095.243855e-09
0.5511831.5880325.271356e-09
0.5540741.5878565.299001e-09
0.556981.5876825.326791e-09
0.5599021.587515.354727e-09
0.5628391.5873395.382809e-09
0.5657911.587175.411039e-09
0.5687591.5870035.439417e-09
0.5717421.5868385.467943e-09
0.5747421.5866745.496620e-09
0.5777561.5865115.525446e-09
0.581.5863925.546900e-09
0.5807871.5863515.554427e-09
0.5838331.5861925.583567e-09
0.5868961.5860345.612859e-09
0.5899741.5858785.642306e-09
0.5930691.5857235.671906e-09
0.596181.585575.701662e-09
0.5993071.5854185.731575e-09
0.6024511.5852685.761644e-09
0.6056111.5851195.791870e-09
0.6087881.5849715.822256e-09
0.6119811.5848255.852800e-09
0.6151911.584685.883505e-09
0.6184181.5845365.914371e-09
0.621.5844675.929500e-09
0.6216621.5843945.945395e-09
0.6249231.5842535.976577e-09
0.6282011.5841146.007923e-09
0.6314961.5839756.039434e-09
0.6348091.5838386.071110e-09
0.6381391.5837026.102951e-09
0.6414861.5835676.134960e-09
0.6448511.5834346.167137e-09
0.6482341.5833016.199483e-09
0.6516341.583176.231998e-09
0.6550521.583046.264684e-09
0.6584881.5829116.297541e-09
0.661.5828556.312000e-09
0.6619421.5827836.330576e-09
0.6654141.5826566.363787e-09
0.6689051.582536.397173e-09
0.6724131.5824056.430734e-09
0.6759411.5822826.464471e-09
0.6794861.5821596.498385e-09
0.683051.5820376.532477e-09
0.6866331.5819176.566748e-09
0.6902351.5817976.601198e-09
0.6938561.5816786.635829e-09
0.6974951.581566.670642e-09
0.71.581486.694600e-09
0.7011541.5814436.705634e-09
0.7048321.5813276.740803e-09
0.7085291.5812126.776156e-09
0.7122461.5810986.811695e-09
0.7159821.5809856.847420e-09
0.7197371.5808726.883332e-09
0.7235131.5807616.919433e-09
0.7273081.580656.955723e-09
0.7311231.580546.992204e-09
0.7349581.5804317.028876e-09
0.7388131.5803227.065740e-09
0.7426891.5802157.102798e-09
0.7465841.5801087.140050e-09
0.7505011.5800027.177497e-09
0.7544371.5798967.215141e-09
0.7583951.5797927.252983e-09
0.7623731.5796887.291022e-09
0.7663721.5795847.329262e-09
0.7703921.5794827.367702e-09
0.7744331.579387.406343e-09
0.7784951.5792797.445188e-09
0.7825791.5791787.484236e-09
0.7866841.5790787.523489e-09
0.790811.5789797.562947e-09
0.7949581.578887.602613e-09
0.7991281.5787827.642487e-09
0.803321.5786847.682570e-09
0.8075341.5785877.722863e-09
0.811771.5784917.763368e-09
0.8160281.5783957.804085e-09
0.8203081.57837.845015e-09
0.8246111.5782057.886161e-09
0.8289371.5781117.927522e-09
0.8332851.5780177.969100e-09
0.8376561.5779248.010896e-09
0.842051.5778318.052912e-09
0.8464671.5777388.095148e-09
0.8509071.5776478.137605e-09
0.855371.5775558.180285e-09
0.8598571.5774648.223189e-09
0.8643671.5773748.266318e-09
0.8689011.5772848.309673e-09
0.8734591.5771948.353256e-09
0.8780411.5771058.397067e-09
0.8826471.5770168.441109e-09
0.8872771.5769278.485381e-09
0.8919311.5768398.529885e-09
0.8966091.5767518.574623e-09
0.9013131.5766648.619595e-09
0.906041.5765768.664804e-09
0.9107931.576498.710249e-09
0.9155711.5764038.755933e-09
0.9203731.5763178.801857e-09
0.9252011.5762318.848021e-09
0.9300541.5761458.894428e-09
0.9349331.576068.941078e-09
0.9398371.5759758.987972e-09
0.9447671.575899.035113e-09
0.9497221.5758059.082501e-09
0.9547041.5757219.130138e-09
0.9597121.5756379.178024e-09
0.9647461.5755539.226162e-09
0.9698071.5754699.274552e-09
0.9748941.5753869.323196e-09
0.9800081.5753029.372095e-09
0.9851481.5752199.421250e-09
0.9903161.5751369.470664e-09
0.995511.5750539.520336e-09
1.000731.574979.570270e-09
1.005981.5748889.620465e-09
1.011261.5748059.670923e-09
1.016561.5747239.721646e-09
1.02191.5746419.772635e-09
1.027261.5745599.823892e-09
1.032641.5744779.875417e-09
1.038061.5743959.927213e-09
1.043511.5743139.979281e-09
1.048981.5742311.003162e-08
1.054481.5741491.008424e-08
1.061.5740671.013700e-08
1.060011.5740671.013979e-08
1.065571.5739851.130156e-08
1.071161.5739041.246943e-08
1.076781.5738221.364343e-08
1.082431.573741.482359e-08
1.088111.5736591.600993e-08
1.093821.5735771.720250e-08
1.099551.5734951.840133e-08
1.105321.5734131.960644e-08
1.111121.5733312.081787e-08
1.116951.573252.203566e-08
1.122811.5731682.325984e-08
1.12871.5730862.449044e-08
1.134621.5730032.572749e-08
1.140571.5729212.697103e-08
1.146551.5728392.822110e-08
1.152561.5727562.947772e-08
1.158611.5726743.074094e-08
1.164691.5725913.201078e-08
1.17081.5725083.328728e-08
1.176941.5724253.457047e-08
1.183111.5723423.586040e-08
1.189321.5722593.715710e-08
1.195561.5721753.846059e-08
1.201831.5720923.977093e-08
1.208131.5720084.108813e-08
1.214471.5719244.241225e-08
1.220841.5718394.374331e-08
1.227241.5717554.508135e-08
1.233681.571674.642642e-08
1.240151.5715854.777853e-08
1.246661.5714994.913774e-08
1.25321.5714145.050408e-08
1.259771.5713285.187759e-08
1.266381.5712425.325830e-08
1.273021.5711555.464626e-08
1.27971.5710685.604149e-08
1.286411.5709815.744405e-08
1.293161.5708945.885396e-08
1.299941.5708066.027126e-08
1.306761.5707186.169600e-08
1.313621.5706296.312822e-08
1.320511.570546.456794e-08
1.327431.5704516.601522e-08
1.33441.5703616.747009e-08
1.34141.5702716.893260e-08
1.348431.5701817.040277e-08
1.355511.570097.188065e-08
1.362621.5699997.336629e-08
1.369761.5699077.485972e-08
1.376951.5698147.636099e-08
1.384171.5697227.787013e-08
1.391431.5696287.938718e-08
1.398731.5695358.091219e-08
1.406071.569448.244520e-08
1.413441.5693468.398626e-08
1.420861.569258.553540e-08
1.428311.5691558.709266e-08
1.43581.5690588.865809e-08
1.443331.5689619.023173e-08
1.45091.5688649.181363e-08
1.458521.5687659.340383e-08
1.466171.5686679.500236e-08
1.473861.5685679.660928e-08
1.481591.5684679.822464e-08
1.489361.5683679.984846e-08
1.497171.5682661.014808e-07
1.505031.5681641.031217e-07
1.512921.5680611.047712e-07
1.520861.5679581.064294e-07
1.528831.5678541.080962e-07
1.531.5678391.083400e-07
1.536851.5677491.180338e-07
1.544911.5676441.294374e-07
1.553021.5675381.409008e-07
1.561161.5674311.524243e-07
1.569351.5673231.640082e-07
1.577591.5672151.756530e-07
1.585861.5671051.873588e-07
1.594181.5669951.991260e-07
1.602541.5668842.109549e-07
1.610951.5667732.228459e-07
1.61941.566662.347993e-07
1.627891.5665472.468153e-07
1.636431.5664332.588944e-07
1.645021.5663172.710369e-07
1.653641.5662012.832430e-07
1.662321.5660842.955132e-07
1.671041.5659663.078477e-07
1.67981.5658473.202470e-07
1.688611.5657283.327112e-07
1.697471.5656073.452409e-07
1.706381.5654853.578363e-07
1.715331.5653623.704977e-07
1.724321.5652383.832256e-07
1.733371.5651133.960202e-07
1.742461.5649874.088819e-07
1.75161.564864.218111e-07
1.760791.5647324.348082e-07
1.770031.5646034.478734e-07
1.779311.5644734.610071e-07
1.788641.5643414.742097e-07
1.798031.5642094.874816e-07
1.807461.5640755.008231e-07
1.816941.563945.142346e-07
1.826471.5638035.277164e-07
1.836051.5636665.412690e-07
1.845681.5635275.548926e-07
1.855361.5633875.685877e-07
1.865091.5632465.823547e-07
1.874881.5631035.961938e-07
1.884711.562966.101056e-07
1.89461.5628146.240903e-07
1.904541.5626686.381484e-07
1.914531.562526.522802e-07
1.924571.562376.664861e-07
1.934671.562226.807666e-07
1.944811.5620676.951219e-07
1.955011.5619147.095526e-07
1.965271.5617587.240590e-07
1.971.5616877.307500e-07
1.975581.5616027.730012e-07
1.985941.5614448.514858e-07
1.996361.5612849.303822e-07
2.006831.5611221.009692e-06
2.017361.560961.089419e-06
2.027941.5607951.169563e-06
2.038581.5606291.250128e-06
2.049271.5604611.331115e-06
2.060021.5602921.412528e-06
2.070831.560121.494367e-06
2.081691.5599471.576636e-06
2.092611.5597731.659336e-06
2.103581.5595961.742470e-06
2.114621.5594181.826040e-06
2.125711.5592381.910048e-06
2.136861.5590561.994497e-06
2.148071.5588722.079389e-06
2.159341.5586862.164726e-06
2.170661.5584992.250511e-06
2.182051.5583092.336746e-06
2.19351.5581172.423434e-06
2.2051.5579242.510575e-06
2.216571.5577282.598175e-06
2.22821.557532.686233e-06
2.239881.557332.774754e-06
2.251631.5571282.863738e-06
2.263441.5569242.953190e-06
2.275321.5567183.043111e-06
2.287251.5565093.133503e-06
2.299251.5562993.224370e-06
2.311311.5560863.315713e-06
2.323431.555873.407536e-06
2.3251.5558423.419400e-06
2.335621.5556533.654409e-06
2.347871.5554323.925495e-06
2.360191.555214.198003e-06
2.372571.5549854.471940e-06
2.385011.5547584.747314e-06
2.397521.5545285.024133e-06
2.41011.5542955.302403e-06
2.422741.554065.582134e-06
2.435451.5538225.863331e-06
2.448231.5535826.146004e-06
2.461071.5533396.430159e-06
2.473981.5530936.715805e-06
2.486951.5528457.002950e-06
2.51.5525937.291600e-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
—