Optical constants

Refractive index of P-PK53 (SCHOTT)

P-PK53: 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
1.5269
Extinction coefficient k
8.25031e-09
Permittivity ε1
2.33142
Permittivity ε2
2.51948e-08
Absorption coefficient α
0.0017644 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13353e+10 nm
Abbe number Vd
66.22
Chromatic dispersion dn/dλ
-0.0411494 µm⁻¹
Group index ng
1.55108
Group velocity dispersion
71.6016 fs²/mm
Dispersion parameter D
-390.624 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-PK53 (SCHOTT): P-PK53
schott_p_pk53 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "P-PK53", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_p_pk53.range_nm)  # (320, 2500) nm
eps = schott_p_pk53.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=0.960316767λ2λ2−0.00531032986+0.340437227λ2λ2−0.0175073434+0.777865595λ2λ2−106.87533

Valid from 0.32 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C20.960316767
C30.00531032986
C40.340437227
C50.0175073434
C60.777865595
C7106.87533

Comments and conditions

inquiry glass. suitable for precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.65e-05 -5.14e-10 -2.02e-11 4.11e-07 4.17e-10 0.208
nd
1.5269
Vd
66.22
glass code
527662.283
glass status
special
density
value: 2827
thermal expansion
value: 1.331e-05, temperature range: 243 343; value: 1.597e-05, temperature range: 293 573
dPgF
0.0084
resistance
acid: 51.0; stain: 1.0; alkali: 4.3; climatic: 2.0; phosphate: 4.3

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -6.67e-06 K⁻¹ at 633 nm, dn/dT = -6.95e-06 K⁻¹ at 1310 nm, dn/dT = -6.95e-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-PK53 (SCHOTT), P-PK53: n and k versus wavelength
λ (µm)nk
0.321.5565164.690800e-06
0.3216531.5560524.345427e-06
0.3233141.5555953.998269e-06
0.3249851.5551443.649318e-06
0.3266631.5546983.298565e-06
0.3283511.5542582.946000e-06
0.3300471.5538232.591614e-06
0.3317521.5533942.235397e-06
0.3334651.5529711.877341e-06
0.3341.552841.765600e-06
0.3351881.5525521.676781e-06
0.3369191.5521391.547304e-06
0.3386591.5517311.417158e-06
0.3404091.5513291.286340e-06
0.3421671.5509311.154847e-06
0.3439351.5505381.022674e-06
0.3457111.550158.898180e-07
0.3474971.5497667.562761e-07
0.3492921.5493886.220444e-07
0.351.549245.691000e-07
0.3510961.5490135.403140e-07
0.352911.5486444.926930e-07
0.3547331.5482794.448259e-07
0.3565651.5479193.967116e-07
0.3584071.5475623.483487e-07
0.3602581.5472112.997360e-07
0.3621191.5468632.508723e-07
0.363991.5465192.017561e-07
0.3651.5463361.752300e-07
0.365871.546181.663319e-07
0.367761.5458451.470020e-07
0.369661.5455141.275723e-07
0.371.5454551.240900e-07
0.3715691.5451861.143548e-07
0.3734881.5448631.024459e-07
0.3754181.5445439.047548e-08
0.3773571.5442287.844323e-08
0.3793061.5439156.634883e-08
0.381.5438066.204300e-08
0.3812651.5436075.800834e-08
0.3832351.5433025.172864e-08
0.3852141.5430014.541651e-08
0.3872041.5427033.907177e-08
0.3892041.5424093.269425e-08
0.391.5422933.015700e-08
0.3912151.5421182.883127e-08
0.3932361.5418312.662575e-08
0.3952671.5415472.440884e-08
0.3973091.5412662.218048e-08
0.3993611.5409891.994061e-08
0.41.5409031.924300e-08
0.4014241.5407141.931162e-08
0.4034971.5404431.941157e-08
0.4051.5402491.948400e-08
0.4055821.5401751.951195e-08
0.4076771.539911.961265e-08
0.4097821.5396481.971387e-08
0.4118991.5393891.981562e-08
0.4140271.5391331.991789e-08
0.4161651.538882.002068e-08
0.4183151.5386292.012401e-08
0.421.5384362.020500e-08
0.4204761.5383822.014417e-08
0.4226481.5381371.986657e-08
0.4248311.5378951.958753e-08
0.4270261.5376561.930705e-08
0.4292311.5374191.902512e-08
0.4314491.5371851.874174e-08
0.4336771.5369541.845689e-08
0.4359171.5367251.817057e-08
0.4361.5367171.816000e-08
0.4381691.5364991.784874e-08
0.4404321.5362751.752395e-08
0.4427071.5360541.719748e-08
0.4449941.5358351.686933e-08
0.4472931.5356191.653947e-08
0.4496031.5354051.620792e-08
0.4519261.5351931.587465e-08
0.454261.5349841.553966e-08
0.4566071.5347771.520294e-08
0.4589651.5345721.486449e-08
0.461.5344831.471600e-08
0.4613361.534371.449094e-08
0.4637191.5341691.408950e-08
0.4661141.5339711.368598e-08
0.4685221.5337751.328039e-08
0.4709421.5335811.287270e-08
0.4733751.5333891.246290e-08
0.475821.5331991.205098e-08
0.4782781.5330111.163694e-08
0.4807481.5328251.122076e-08
0.4832321.5326421.080243e-08
0.4857281.532461.038194e-08
0.4882371.532289.959275e-09
0.4907591.5321029.534429e-09
0.4932941.5319259.107387e-09
0.4958421.5317518.678140e-09
0.4984031.5315788.246676e-09
0.51.5314727.977700e-09
0.5009781.5314087.919119e-09
0.5035661.5312397.764082e-09
0.5061671.5310727.608244e-09
0.5087811.5309067.451601e-09
0.5114091.5307427.294149e-09
0.5140511.530587.135884e-09
0.5167061.530426.976801e-09
0.5193761.5302616.816897e-09
0.5220581.5301046.656166e-09
0.5247551.5299486.494605e-09
0.5274661.5297946.332210e-09
0.530191.5296426.168976e-09
0.5329291.5294916.004898e-09
0.5356821.5293425.839973e-09
0.5384491.5291945.674196e-09
0.541231.5290485.507563e-09
0.5440261.5289035.340069e-09
0.5461.5288025.221800e-09
0.5468361.5287595.275353e-09
0.5496611.5286175.456282e-09
0.55251.5284775.638145e-09
0.5553541.5283375.820948e-09
0.5582231.5281996.004695e-09
0.5611061.5280636.189391e-09
0.5640041.5279286.375041e-09
0.5669181.5277946.561650e-09
0.5698461.5276616.749223e-09
0.572791.527536.937765e-09
0.5757491.52747.127281e-09
0.5787231.5272717.317776e-09
0.581.5272177.399600e-09
0.5817121.5271447.591227e-09
0.5847171.5270177.927572e-09
0.5877371.5268928.265654e-09
0.5907731.5267688.605483e-09
0.5938251.5266468.947068e-09
0.5968921.5265249.290417e-09
0.5999751.5264049.635539e-09
0.6030741.5262849.982444e-09
0.606191.5261661.033114e-08
0.6093211.5260491.068164e-08
0.6124681.5259331.103395e-08
0.6156321.5258181.138808e-08
0.6188121.5257041.174403e-08
0.621.5256621.187700e-08
0.6220091.5255911.212792e-08
0.6252221.5254791.252930e-08
0.6284511.5253681.293276e-08
0.6316971.5252581.333830e-08
0.634961.5251491.374593e-08
0.638241.5250411.415567e-08
0.6415371.5249341.456753e-08
0.6448511.5248281.498151e-08
0.6481821.5247231.539763e-08
0.651531.5246191.581590e-08
0.6548961.5245151.623633e-08
0.6582781.5244131.665894e-08
0.661.5243611.687400e-08
0.6616791.5243111.691693e-08
0.6650971.5242111.700435e-08
0.6685321.5241111.709221e-08
0.6719861.5240121.718053e-08
0.6754571.5239141.726930e-08
0.6789461.5238161.735854e-08
0.6824531.523721.744823e-08
0.6859781.5236241.753839e-08
0.6895211.5235291.762901e-08
0.6930831.5234351.772010e-08
0.6966631.5233411.781166e-08
0.71.5232551.789700e-08
0.7002621.5232491.789875e-08
0.7038791.5231571.792295e-08
0.7075151.5230651.794727e-08
0.711171.5229751.797171e-08
0.7148431.5228851.799628e-08
0.7185361.5227961.802098e-08
0.7222471.5227071.804581e-08
0.7259781.522621.807076e-08
0.7297281.5225331.809585e-08
0.7334971.5224461.812106e-08
0.7372861.522361.814640e-08
0.7410951.5222751.817188e-08
0.7449231.522191.819748e-08
0.7487711.5221061.822322e-08
0.7526391.5220231.824909e-08
0.7565261.521941.827510e-08
0.7604341.5218581.830124e-08
0.7643621.5217761.832751e-08
0.768311.5216951.835392e-08
0.7722791.5216151.838047e-08
0.7762681.5215351.840715e-08
0.7802781.5214551.843397e-08
0.7843091.5213761.846093e-08
0.788361.5212981.848803e-08
0.7924321.521221.851527e-08
0.7965261.5211431.854265e-08
0.800641.5210661.857017e-08
0.8047761.5209891.859783e-08
0.8089331.5209131.862564e-08
0.8131111.5208381.865359e-08
0.8173111.5207631.868168e-08
0.8215331.5206881.870992e-08
0.8257771.5206141.873831e-08
0.8300421.520541.876684e-08
0.834331.5204671.879552e-08
0.838641.5203941.882435e-08
0.8429721.5203211.885332e-08
0.8473261.5202491.888245e-08
0.8517031.5201781.891172e-08
0.8561021.5201061.894115e-08
0.8605241.5200351.897073e-08
0.864971.5199651.900046e-08
0.8694371.5198941.903035e-08
0.8739291.5198241.906039e-08
0.8784431.5197551.909058e-08
0.882981.5196851.912094e-08
0.8875411.5196161.915144e-08
0.8921261.5195481.918211e-08
0.8967341.5194791.921293e-08
0.9013661.5194111.924392e-08
0.9060221.5193441.927506e-08
0.9107021.5192761.930636e-08
0.9154071.5192091.933783e-08
0.9201351.5191421.936946e-08
0.9248881.5190751.940125e-08
0.9296661.5190091.943321e-08
0.9344681.5189431.946533e-08
0.9392951.5188771.949762e-08
0.9441471.5188111.953007e-08
0.9490241.5187451.956269e-08
0.9539261.518681.959548e-08
0.9588531.5186151.962844e-08
0.9638061.518551.966157e-08
0.9687851.5184851.969487e-08
0.9737891.5184211.972834e-08
0.9788191.5183571.976199e-08
0.9838751.5182921.979581e-08
0.9889571.5182281.982980e-08
0.9940661.5181651.986397e-08
0.9992011.5181011.989832e-08
1.004361.5180371.993284e-08
1.009551.5179741.996755e-08
1.014761.5179112.000243e-08
1.020011.5178472.003749e-08
1.025281.5177842.007273e-08
1.030571.5177212.010816e-08
1.035891.5176582.014376e-08
1.041251.5175962.017956e-08
1.046621.5175332.021553e-08
1.052031.517472.025169e-08
1.057461.5174082.028804e-08
1.061.5173792.030500e-08
1.062931.5173452.160693e-08
1.068421.5172832.404887e-08
1.073941.517222.650343e-08
1.079481.5171582.897067e-08
1.085061.5170963.145065e-08
1.090671.5170333.394345e-08
1.09631.5169713.644912e-08
1.101961.5169093.896773e-08
1.107651.5168474.149935e-08
1.113381.5167844.404406e-08
1.119131.5167224.660190e-08
1.124911.516664.917296e-08
1.130721.5165975.175730e-08
1.136561.5165355.435498e-08
1.142431.5164735.696609e-08
1.148331.516415.959068e-08
1.154261.5163486.222883e-08
1.160231.5162856.488061e-08
1.166221.5162236.754609e-08
1.172241.516167.022533e-08
1.17831.5160977.291842e-08
1.184381.5160347.562541e-08
1.19051.5159717.834639e-08
1.196651.5159088.108142e-08
1.202831.5158458.383058e-08
1.209051.5157828.659395e-08
1.215291.5157198.937158e-08
1.221571.5156559.216357e-08
1.227881.5155929.496997e-08
1.234221.5155289.779087e-08
1.24061.5154641.006263e-07
1.2471.51541.034765e-07
1.253451.5153351.063413e-07
1.259921.5152711.092210e-07
1.266431.5152061.121155e-07
1.272971.5151421.150249e-07
1.279551.5150771.179494e-07
1.286161.5150111.208890e-07
1.29281.5149461.238438e-07
1.299481.514881.268139e-07
1.306191.5148141.297993e-07
1.312941.5147481.328001e-07
1.319721.5146821.358164e-07
1.326541.5146151.388483e-07
1.333391.5145491.418958e-07
1.340281.5144811.449591e-07
1.34721.5144141.480383e-07
1.354161.5143461.511333e-07
1.361151.5142791.542443e-07
1.368181.514211.573714e-07
1.375251.5141421.605146e-07
1.382351.5140731.636741e-07
1.38951.5140041.668499e-07
1.396671.5139341.700421e-07
1.403891.5138641.732508e-07
1.411141.5137941.764760e-07
1.418431.5137241.797179e-07
1.425761.5136531.829766e-07
1.433121.5135821.862521e-07
1.440521.513511.895445e-07
1.447961.5134381.928539e-07
1.455441.5133651.961805e-07
1.462961.5132931.995242e-07
1.470521.5132192.028851e-07
1.478111.5131462.062635e-07
1.485751.5130722.096593e-07
1.493421.5129972.130726e-07
1.501141.5129222.165036e-07
1.508891.5128472.199522e-07
1.516691.5127712.234187e-07
1.524521.5126952.269031e-07
1.531.5126412.293400e-07
1.53241.5126182.485040e-07
1.540311.5125413.118207e-07
1.548271.5124633.754644e-07
1.556271.5123844.394369e-07
1.56431.5123065.037398e-07
1.572381.5122265.683749e-07
1.580511.5121466.333439e-07
1.588671.5120666.986484e-07
1.596881.5119857.642903e-07
1.605131.5119038.302713e-07
1.613421.5118218.965930e-07
1.621751.5117389.632574e-07
1.630131.5116551.030266e-06
1.638551.5115711.097621e-06
1.647011.5114871.165324e-06
1.655521.5114011.233376e-06
1.664071.5113161.301780e-06
1.672671.5112291.370538e-06
1.681311.5111421.439650e-06
1.689991.5110541.509120e-06
1.698721.5109661.578948e-06
1.70751.5108761.649137e-06
1.716321.5107871.719689e-06
1.725181.5106961.790605e-06
1.734091.5106051.861887e-06
1.743051.5105131.933538e-06
1.752061.510422.005558e-06
1.761111.5103262.077951e-06
1.77021.5102322.150718e-06
1.779351.5101372.223860e-06
1.788541.5100412.297381e-06
1.797781.5099442.371281e-06
1.807061.5098472.445563e-06
1.81641.5097482.520228e-06
1.825781.5096492.595279e-06
1.835211.5095492.670718e-06
1.844691.5094482.746547e-06
1.854221.5093462.822767e-06
1.86381.5092442.899381e-06
1.873421.509142.976391e-06
1.88311.5090363.053798e-06
1.892831.508933.131606e-06
1.902611.5088243.209815e-06
1.912431.5087163.288428e-06
1.922311.5086083.367448e-06
1.932241.5084993.446875e-06
1.942221.5083883.526713e-06
1.952261.5082773.606963e-06
1.962341.5081653.687628e-06
1.971.5080793.748900e-06
1.972481.5080513.794322e-06
1.982671.5079373.981196e-06
1.992911.5078214.169035e-06
2.00321.5077044.357845e-06
2.013551.5075874.547630e-06
2.023951.5074684.738395e-06
2.03441.5073484.930146e-06
2.044911.5072275.122887e-06
2.055481.5071045.316624e-06
2.066091.5069815.511362e-06
2.076771.5068565.707105e-06
2.087491.506735.903860e-06
2.098281.5066036.101631e-06
2.109111.5064746.300423e-06
2.120011.5063446.500243e-06
2.130961.5062136.701094e-06
2.141971.5060816.902983e-06
2.153031.5059477.105915e-06
2.164151.5058127.309895e-06
2.175331.5056767.514929e-06
2.186571.5055387.721022e-06
2.197861.5053997.928180e-06
2.209221.5052598.136407e-06
2.220631.5051178.345710e-06
2.23211.5049738.556095e-06
2.243631.5048288.767566e-06
2.255221.5046828.980129e-06
2.266871.5045349.193790e-06
2.278581.5043849.408555e-06
2.290351.5042339.624430e-06
2.302181.504089.841419e-06
2.314071.5039261.005953e-05
2.3251.5037841.026000e-05
2.326021.503771.028828e-05
2.338041.5036131.062038e-05
2.350121.5034531.095419e-05
2.362251.5032921.128972e-05
2.374461.503131.162699e-05
2.386721.5029651.196600e-05
2.399051.5027991.230677e-05
2.411441.5026311.264929e-05
2.42391.5024621.299358e-05
2.436421.502291.333965e-05
2.449011.5021171.368751e-05
2.461661.5019411.403716e-05
2.474371.5017641.438862e-05
2.487151.5015851.474190e-05
2.51.5014031.509700e-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
—