Optical constants

Refractive index of N-PK51 (SCHOTT)

N-PK51: n,k 0.3–2.5 µm

Data
formula 2 + tabulated k
Range
0.3–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–2.5 µm
Refractive index n
1.52855
Extinction coefficient k
1.05077e-08
Permittivity ε1
2.33647
Permittivity ε2
3.21232e-08
Absorption coefficient α
0.00224717 cm⁻¹
Penetration depth δ = λ/(2πk)
8.90009e+09 nm
Abbe number Vd
76.976
Chromatic dispersion dn/dλ
-0.0355156 µm⁻¹
Group index ng
1.54942
Group velocity dispersion
62.0754 fs²/mm
Dispersion parameter D
-338.654 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-PK51 (SCHOTT): N-PK51
schott_n_pk51 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-PK51", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_pk51.range_nm)  # (300, 2500) nm
eps = schott_n_pk51.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=1.15610775λ2λ2−0.00585597402+0.153229344λ2λ2−0.0194072416+0.785618966λ2λ2−140.537046

Valid from 0.3 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.15610775
C30.00585597402
C40.153229344
C50.0194072416
C60.785618966
C7140.537046

Comments and conditions

suitable for precision molding. step 0.5 available

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.98e-05 -6.06e-09 1.6e-11 4.16e-07 5.01e-10 0.134
nd
1.52855
Vd
76.98
glass code
529770.386
glass status
standard
density
value: 3855
thermal expansion
value: 1.235e-05, temperature range: 243 343; value: 1.412e-05, temperature range: 293 573
dPgF
0.0258
resistance
acid: 52.3; stain: 0.0; alkali: 3.3; climatic: 1.0; phosphate: 4.3

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -8.16e-06 K⁻¹ at 633 nm, dn/dT = -8.41e-06 K⁻¹ at 1310 nm, dn/dT = -8.41e-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 423 wavelengths, the same grid as the API and the library
N-PK51 (SCHOTT), N-PK51: n and k versus wavelength
λ (µm)nk
0.31.5593013.735700e-06
0.3015981.5588263.501754e-06
0.3032051.5583573.266562e-06
0.3048211.5578953.030117e-06
0.3064451.5574392.792412e-06
0.3080781.5569882.553440e-06
0.3097191.5565442.313195e-06
0.311.5564692.272100e-06
0.3113691.5561052.138512e-06
0.3130281.5556721.976676e-06
0.3146961.5552451.813978e-06
0.3163731.5548241.650413e-06
0.3180591.5544071.485977e-06
0.3197531.5539961.320664e-06
0.321.5539371.296600e-06
0.3214571.5535911.218182e-06
0.323171.553191.125998e-06
0.3248921.5527951.033323e-06
0.3266231.5524059.401540e-07
0.3283631.5520198.464887e-07
0.3301121.5516397.523244e-07
0.3318711.5512636.576583e-07
0.333641.5508925.624879e-07
0.3341.5508175.430900e-07
0.3354171.5505265.121894e-07
0.3372041.5501644.732244e-07
0.3390011.5498074.340517e-07
0.3408071.5494543.946703e-07
0.3426231.5491063.550790e-07
0.3444491.5487623.152769e-07
0.3462841.5484222.752626e-07
0.3481291.5480872.350352e-07
0.3499841.5477551.945934e-07
0.351.5477531.942400e-07
0.3518491.5474281.791620e-07
0.3537231.5471051.638707e-07
0.3556081.5467861.484980e-07
0.3575031.546471.330433e-07
0.3594071.5461581.175064e-07
0.3613221.5458511.018866e-07
0.3632481.5455478.618359e-08
0.3651.5452747.188900e-08
0.3651831.5452467.124287e-08
0.3671291.5449496.437018e-08
0.3690851.5446565.746086e-08
0.371.5445215.422800e-08
0.3710511.5443675.200774e-08
0.3730281.544084.783233e-08
0.3750161.5437984.363467e-08
0.3770141.5435183.941465e-08
0.3790231.5432423.517214e-08
0.381.5431093.310800e-08
0.3810421.5429693.174438e-08
0.3830721.54272.908782e-08
0.3851131.5424332.641712e-08
0.3871651.542172.373219e-08
0.3892281.541912.103295e-08
0.391.5418142.002300e-08
0.3913021.5416531.975322e-08
0.3933871.5413991.932123e-08
0.3954831.5411481.888694e-08
0.397591.54091.845034e-08
0.3997081.5406551.801141e-08
0.41.5406211.795100e-08
0.4018381.5404121.803372e-08
0.4039791.5401731.813006e-08
0.4051.540061.817600e-08
0.4061321.5399361.843152e-08
0.4082961.5397021.892013e-08
0.4104711.5394711.941134e-08
0.4126581.5392421.990517e-08
0.4148571.5390162.040163e-08
0.4170671.5387932.090074e-08
0.4192891.5385722.140250e-08
0.421.5385022.156300e-08
0.4215231.5383542.164126e-08
0.4237691.5381382.175664e-08
0.4260271.5379252.187264e-08
0.4282971.5377142.198925e-08
0.4305791.5375052.210649e-08
0.4328731.5372992.222435e-08
0.4351791.5370952.234285e-08
0.4361.5370242.238500e-08
0.4374981.5368942.209111e-08
0.4398291.5366942.163384e-08
0.4421731.5364972.117414e-08
0.4445291.5363032.071198e-08
0.4468971.536112.024736e-08
0.4492781.535921.978027e-08
0.4516721.5357311.931069e-08
0.4540781.5355451.883860e-08
0.4564981.5353611.836400e-08
0.458931.5351791.788687e-08
0.461.53511.767700e-08
0.4613751.5349991.745361e-08
0.4638341.5348211.705433e-08
0.4663051.5346441.665292e-08
0.4687891.534471.624937e-08
0.4712871.5342981.584368e-08
0.4737981.5341281.543582e-08
0.4763231.5339591.502578e-08
0.4788611.5337921.461357e-08
0.4814121.5336271.419915e-08
0.4839771.5334641.378253e-08
0.4865561.5333031.336369e-08
0.4891481.5331431.294262e-08
0.4917541.5329851.251930e-08
0.4943741.5328291.209373e-08
0.4970081.5326751.166589e-08
0.4996571.5325221.123578e-08
0.51.5325021.118000e-08
0.5023191.5323711.096757e-08
0.5049951.5322211.072237e-08
0.5076861.5320731.047587e-08
0.5103911.5319271.022806e-08
0.513111.5317829.978928e-09
0.5158441.5316399.728467e-09
0.5185931.5314979.476672e-09
0.5213561.5313569.223535e-09
0.5241341.5312178.969050e-09
0.5269261.531088.713209e-09
0.5297341.5309448.456004e-09
0.5325561.530818.197429e-09
0.5353941.5306767.937477e-09
0.5382461.5305457.676139e-09
0.5411141.5304147.413409e-09
0.5439971.5302857.149279e-09
0.5461.5301976.965800e-09
0.5468961.5301577.026083e-09
0.549811.5300317.222198e-09
0.5527391.5299067.419358e-09
0.5556841.5297827.617568e-09
0.5586451.5296597.816834e-09
0.5616211.5295388.017161e-09
0.5646141.5294188.218557e-09
0.5676221.5292998.421025e-09
0.5706461.5291818.624572e-09
0.5736871.5290648.829203e-09
0.5767431.5289499.034925e-09
0.5798161.5288359.241743e-09
0.581.5288289.254100e-09
0.5829061.5287229.733389e-09
0.5860111.528611.024568e-08
0.5891341.5284991.076070e-08
0.5922731.5283891.127846e-08
0.5954281.528281.179898e-08
0.5986011.5281721.232228e-08
0.601791.5280661.284836e-08
0.6049971.527961.337725e-08
0.608221.5278561.390895e-08
0.6114611.5277521.444349e-08
0.6147191.5276491.498087e-08
0.6179941.5275481.552112e-08
0.621.5274861.585200e-08
0.6212871.5274471.595304e-08
0.6245971.5273471.621298e-08
0.6279251.5272491.647431e-08
0.6312711.5271511.673702e-08
0.6346341.5270541.700114e-08
0.6380151.5269581.726666e-08
0.6414151.5268631.753360e-08
0.6448321.5267691.780196e-08
0.6482681.5266751.807175e-08
0.6517221.5265831.834298e-08
0.6551951.5264911.861565e-08
0.6586851.52641.888978e-08
0.661.5263661.899300e-08
0.6621951.526311.893286e-08
0.6657231.5262211.883618e-08
0.669271.5261321.873899e-08
0.6728361.5260451.864129e-08
0.6764211.5259581.854306e-08
0.6800251.5258721.844431e-08
0.6836481.5257861.834503e-08
0.6872911.5257011.824523e-08
0.6909531.5256181.814489e-08
0.6946341.5255341.804402e-08
0.6983351.5254521.794261e-08
0.71.5254151.789700e-08
0.7020561.525371.791075e-08
0.7057971.5252891.793577e-08
0.7095571.5252091.796093e-08
0.7133381.5251291.798622e-08
0.7171391.525051.801164e-08
0.720961.5249711.803720e-08
0.7248011.5248931.806289e-08
0.7286631.5248161.808872e-08
0.7325451.524741.811469e-08
0.7364481.5246641.814080e-08
0.7403721.5245881.816704e-08
0.7443171.5245131.819343e-08
0.7482831.5244391.821996e-08
0.752271.5243661.824663e-08
0.7562781.5242931.827344e-08
0.7603071.524221.830039e-08
0.7643581.5241481.832749e-08
0.7684311.5240771.835473e-08
0.7725251.5240061.838211e-08
0.7766411.5239351.840964e-08
0.7807791.5238661.843732e-08
0.7849391.5237961.846515e-08
0.7891211.5237271.849312e-08
0.7933261.5236591.852125e-08
0.7975531.5235911.854952e-08
0.8018021.5235241.857794e-08
0.8060741.5234571.860652e-08
0.8103691.523391.863525e-08
0.8146871.5233241.866413e-08
0.8190281.5232581.869316e-08
0.8233911.5231931.872235e-08
0.8277791.5231281.875170e-08
0.8321891.5230641.878120e-08
0.8366231.5231.881086e-08
0.8410811.5229361.884067e-08
0.8455621.5228731.887065e-08
0.8500671.522811.890078e-08
0.8545961.5227481.893108e-08
0.859151.5226861.896154e-08
0.8637271.5226241.899215e-08
0.8683291.5225631.902294e-08
0.8729561.5225021.905388e-08
0.8776071.5224411.908499e-08
0.8822831.5223811.911627e-08
0.8869841.522321.914772e-08
0.891711.5222611.917933e-08
0.8964611.5222011.921111e-08
0.9012381.5221421.924306e-08
0.9060391.5220831.927517e-08
0.9108671.5220251.930746e-08
0.915721.5219671.933993e-08
0.9205991.5219091.937256e-08
0.9255041.5218511.940537e-08
0.9304351.5217931.943836e-08
0.9353931.5217361.947152e-08
0.9403771.5216791.950485e-08
0.9453871.5216221.953837e-08
0.9504241.5215661.957206e-08
0.9554881.521511.960593e-08
0.9605791.5214541.963998e-08
0.9656971.5213981.967422e-08
0.9708421.5213421.970863e-08
0.9760151.5212871.974323e-08
0.9812151.5212311.977802e-08
0.9864431.5211761.981299e-08
0.9916991.5211211.984814e-08
0.9969831.5210671.988349e-08
1.00231.5210121.991902e-08
1.007641.5209581.995474e-08
1.0131.5209041.999065e-08
1.01841.5208492.002675e-08
1.023831.5207952.006305e-08
1.029281.5207422.009954e-08
1.034771.5206882.013622e-08
1.040281.5206342.017310e-08
1.045821.5205812.021017e-08
1.05141.5205272.024744e-08
1.0571.5204742.028491e-08
1.061.5204462.030500e-08
1.062631.5204212.060312e-08
1.068291.5203682.124520e-08
1.073981.5203152.189070e-08
1.07971.5202622.253964e-08
1.085461.5202092.319204e-08
1.091241.5201562.384792e-08
1.097061.5201042.450729e-08
1.10291.5200512.517017e-08
1.108781.5199982.583659e-08
1.114681.5199462.650656e-08
1.120621.5198932.718009e-08
1.126591.5198412.785722e-08
1.13261.5197882.853795e-08
1.138631.5197362.922231e-08
1.14471.5196832.991031e-08
1.15081.5196313.060199e-08
1.156931.5195783.129734e-08
1.163091.5195263.199640e-08
1.169291.5194733.269919e-08
1.175521.519423.340572e-08
1.181781.5193683.411602e-08
1.188081.5193153.483010e-08
1.194411.5192633.554798e-08
1.200771.519213.626969e-08
1.207171.5191573.699525e-08
1.21361.5191043.772467e-08
1.220071.5190513.845797e-08
1.226571.5189983.919519e-08
1.233111.5189453.993633e-08
1.239681.5188924.068142e-08
1.246281.5188394.143048e-08
1.252921.5187864.218353e-08
1.25961.5187324.294060e-08
1.266311.5186784.370170e-08
1.273061.5186254.446685e-08
1.279841.5185714.523608e-08
1.286661.5185174.600941e-08
1.293511.5184634.678686e-08
1.30041.5184094.756845e-08
1.307331.5183544.835420e-08
1.31431.51834.914414e-08
1.32131.5182454.993830e-08
1.328341.518195.073668e-08
1.335421.5181355.153931e-08
1.342531.518085.234623e-08
1.349691.5180255.315744e-08
1.356881.5179695.397297e-08
1.364111.5179135.479285e-08
1.371381.5178575.561710e-08
1.378681.5178015.644574e-08
1.386031.5177445.727879e-08
1.393411.5176885.811629e-08
1.400841.5176315.895824e-08
1.40831.5175735.980468e-08
1.415811.5175166.065564e-08
1.423351.5174586.151112e-08
1.430931.51746.237116e-08
1.438561.5173426.323579e-08
1.446221.5172846.410502e-08
1.453931.5172256.497889e-08
1.461671.5171666.585741e-08
1.469461.5171066.674061e-08
1.477291.5170476.762851e-08
1.485161.5169866.852115e-08
1.493081.5169266.941854e-08
1.501031.5168657.032072e-08
1.509031.5168047.122770e-08
1.517071.5167437.213951e-08
1.525151.5166817.305619e-08
1.531.5166447.360600e-08
1.533281.5166197.594822e-08
1.541451.5165578.178554e-08
1.549661.5164948.765397e-08
1.557921.5164319.355366e-08
1.566221.5163679.948479e-08
1.574561.5163031.054475e-07
1.582951.5162391.114420e-07
1.591391.5161741.174685e-07
1.599871.5161091.235270e-07
1.608391.5160431.296178e-07
1.616961.5159771.357411e-07
1.625571.515911.418970e-07
1.634241.5158431.480857e-07
1.642941.5157761.543074e-07
1.65171.5157081.605622e-07
1.66051.5156391.668504e-07
1.669341.515571.731721e-07
1.678241.5155011.795274e-07
1.687181.5154311.859166e-07
1.696171.515361.923398e-07
1.705211.5152891.987973e-07
1.714291.5152182.052892e-07
1.723431.5151462.118157e-07
1.732611.5150732.183769e-07
1.741841.5152.249731e-07
1.751121.5149262.316044e-07
1.760451.5148522.382711e-07
1.769831.5147772.449733e-07
1.779261.5147012.517112e-07
1.788741.5146252.584850e-07
1.798271.5145482.652949e-07
1.807851.5144712.721411e-07
1.817491.5143932.790237e-07
1.827171.5143142.859431e-07
1.83691.5142352.928993e-07
1.846691.5141552.998925e-07
1.856531.5140743.069230e-07
1.866421.5139933.139910e-07
1.876371.5139113.210967e-07
1.886371.5138283.282402e-07
1.896421.5137443.354217e-07
1.906521.513663.426415e-07
1.916681.5135753.498998e-07
1.926891.5134893.571968e-07
1.937161.5134033.645326e-07
1.947481.5133153.719076e-07
1.957851.5132273.793218e-07
1.968291.5131383.867755e-07
1.971.5131243.880000e-07
1.978771.5130494.059968e-07
1.989321.5129584.276235e-07
1.999921.5128674.493654e-07
2.010571.5127754.712231e-07
2.021281.5126814.931973e-07
2.032051.5125875.152886e-07
2.042881.5124935.374976e-07
2.053771.5123975.598249e-07
2.064711.51235.822712e-07
2.075711.5122036.048371e-07
2.086771.5121046.275232e-07
2.097891.5120056.503302e-07
2.109061.5119046.732587e-07
2.12031.5118036.963094e-07
2.13161.51177.194829e-07
2.142961.5115977.427798e-07
2.154371.5114927.662009e-07
2.165851.5113877.897468e-07
2.177391.511288.134181e-07
2.188991.5111738.372156e-07
2.200661.5110648.611398e-07
2.212381.5109548.851915e-07
2.224171.5108439.093714e-07
2.236021.5107319.336801e-07
2.247931.5106189.581183e-07
2.259911.5105049.826868e-07
2.271951.5103881.007386e-06
2.284061.5102721.032217e-06
2.296231.5101541.057180e-06
2.308461.5100351.082276e-06
2.320761.5099141.107506e-06
2.3251.5098731.116200e-06
2.333131.5097931.142239e-06
2.345561.509671.182068e-06
2.358061.5095461.222110e-06
2.370621.509421.262365e-06
2.383251.5092941.302834e-06
2.395951.5091651.343519e-06
2.408711.5090361.384421e-06
2.421551.5089051.425540e-06
2.434451.5087731.466879e-06
2.447421.5086391.508438e-06
2.460461.5085041.550218e-06
2.473571.5083671.592221e-06
2.486751.5082291.634448e-06
2.51.508091.676900e-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
—