Optical constants

Refractive index of P-LAK35 (SCHOTT)

P-LAK35: 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
1.6935
Extinction coefficient k
1.35168e-08
Permittivity ε1
2.86793
Permittivity ε2
4.57812e-08
Absorption coefficient α
0.00289069 cm⁻¹
Penetration depth δ = λ/(2πk)
6.91877e+09 nm
Abbe number Vd
53.2
Chromatic dispersion dn/dλ
-0.0671767 µm⁻¹
Group index ng
1.73297
Group velocity dispersion
119.501 fs²/mm
Dispersion parameter D
-651.94 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-LAK35 (SCHOTT): P-LAK35
schott_p_lak35 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "P-LAK35", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_p_lak35.range_nm)  # (300, 2500) nm
eps = schott_p_lak35.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=1.3932426λ2λ2−0.00715959695+0.418882766λ2λ2−0.0233637446+1.043807λ2λ2−88.3284426

Valid from 0.3 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.3932426
C30.00715959695
C40.418882766
C50.0233637446
C61.043807
C788.3284426

Comments and conditions

suitable for precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.9e-06 7.99e-09 7.76e-12 5.64e-07 6.57e-10 0.185
nd
1.6935
Vd
53.2
glass code
693532.385
glass status
standard
density
value: 3848
thermal expansion
value: 8.13e-06, temperature range: 243 343; value: 9.68e-06, temperature range: 293 573
dPgF
-0.0061
resistance
acid: 53.3; stain: 5.0; alkali: 1.3; climatic: 2.0; phosphate: 4.3

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.98e-07 K⁻¹ at 633 nm, dn/dT = -8.43e-07 K⁻¹ at 1310 nm, dn/dT = -8.91e-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 423 wavelengths, the same grid as the API and the library
P-LAK35 (SCHOTT), P-LAK35: n and k versus wavelength
λ (µm)nk
0.31.754525.059500e-06
0.3015981.7535274.694531e-06
0.3032051.752554.327618e-06
0.3048211.7515863.958750e-06
0.3064451.7506383.587916e-06
0.3080781.7497033.215107e-06
0.3097191.7487822.840311e-06
0.311.7486262.776200e-06
0.3113691.7478742.613717e-06
0.3130281.746982.416877e-06
0.3146961.7460992.218987e-06
0.3163731.745232.020043e-06
0.3180591.7443741.820039e-06
0.3197531.743531.618970e-06
0.321.7434091.589700e-06
0.3214571.7426991.505467e-06
0.323171.7418791.406448e-06
0.3248921.7410711.306902e-06
0.3266231.7402741.206825e-06
0.3283631.7394881.106215e-06
0.3301121.7387141.005068e-06
0.3318711.737959.033831e-07
0.333641.7371978.011561e-07
0.3341.7370457.803200e-07
0.3354171.7364547.409150e-07
0.3372041.7357216.912260e-07
0.3390011.7349996.412723e-07
0.3408071.7342865.910524e-07
0.3426231.7335845.405649e-07
0.3444491.732894.898085e-07
0.3462841.7322074.387816e-07
0.3481291.7315323.874828e-07
0.3499841.7308663.359107e-07
0.351.7308613.354600e-07
0.3518491.730213.124223e-07
0.3537231.7295622.890588e-07
0.3556081.7289232.655708e-07
0.3575031.7282922.419577e-07
0.3594071.727672.182187e-07
0.3613221.7270561.943533e-07
0.3632481.726451.703607e-07
0.3651.7259081.485200e-07
0.3651831.7258511.472922e-07
0.3671291.7252611.342325e-07
0.3690851.7246791.211032e-07
0.371.724411.149600e-07
0.3710511.7241031.107427e-07
0.3730281.7235361.028116e-07
0.3750161.7229769.483819e-08
0.3770141.7224238.682234e-08
0.3790231.7218777.876379e-08
0.381.7216157.484300e-08
0.3810421.7213387.232459e-08
0.3830721.7208066.741835e-08
0.3851131.720286.248596e-08
0.3871651.7197615.752730e-08
0.3892281.7192495.254221e-08
0.391.719065.067700e-08
0.3913021.7187444.912826e-08
0.3933871.7182444.664828e-08
0.3954831.7177514.415509e-08
0.397591.7172654.164862e-08
0.3997081.7167843.912879e-08
0.41.7167183.878200e-08
0.4018381.7163093.749677e-08
0.4039791.715843.599976e-08
0.4051.7156193.528600e-08
0.4061321.7153773.497081e-08
0.4082961.7149193.436809e-08
0.4104711.7144683.376216e-08
0.4126581.7140213.315300e-08
0.4148571.7135813.254059e-08
0.4170671.7131453.192493e-08
0.4192891.7127153.130598e-08
0.421.7125793.110800e-08
0.4215231.712293.081573e-08
0.4237691.711873.038480e-08
0.4260271.7114562.995157e-08
0.4282971.7110462.951603e-08
0.4305791.7106412.907817e-08
0.4328731.7102412.863798e-08
0.4351791.7098462.819544e-08
0.4361.7097072.803800e-08
0.4374981.7094562.766921e-08
0.4398291.709072.709538e-08
0.4421731.7086892.651850e-08
0.4445291.7083122.593855e-08
0.4468971.707942.535551e-08
0.4492781.7075722.476936e-08
0.4516721.7072082.418009e-08
0.4540781.7068492.358768e-08
0.4564981.7064942.299211e-08
0.458931.7061432.239337e-08
0.461.705992.213000e-08
0.4613751.7057962.180865e-08
0.4638341.7054532.123428e-08
0.4663051.7051142.065685e-08
0.4687891.7047792.007634e-08
0.4712871.7044481.949274e-08
0.4737981.704121.890604e-08
0.4763231.7037971.831620e-08
0.4788611.7034771.772322e-08
0.4814121.703161.712708e-08
0.4839771.7028471.652777e-08
0.4865561.7025381.592526e-08
0.4891481.7022331.531955e-08
0.4917541.701931.471060e-08
0.4943741.7016311.409841e-08
0.4970081.7013361.348296e-08
0.4996571.7010441.286423e-08
0.51.7010061.278400e-08
0.5023191.7007551.266680e-08
0.5049951.7004691.253152e-08
0.5076861.7001861.239553e-08
0.5103911.6999071.225881e-08
0.513111.699631.212136e-08
0.5158441.6993571.198318e-08
0.5185931.6990861.184426e-08
0.5213561.6988191.170461e-08
0.5241341.6985541.156421e-08
0.5269261.6982931.142306e-08
0.5297341.6980341.128115e-08
0.5325561.6977781.113850e-08
0.5353941.6975241.099508e-08
0.5382461.6972741.085090e-08
0.5411141.6970261.070595e-08
0.5439971.6967811.056023e-08
0.5461.6966131.045900e-08
0.5468961.6965381.052512e-08
0.549811.6962981.074024e-08
0.5527391.696061.095650e-08
0.5556841.6958251.117391e-08
0.5586451.6955931.139249e-08
0.5616211.6953621.161222e-08
0.5646141.6951351.183313e-08
0.5676221.6949091.205521e-08
0.5706461.6946861.227848e-08
0.5736871.6944651.250294e-08
0.5767431.6942471.272859e-08
0.5798161.694031.295545e-08
0.581.6940181.296900e-08
0.5829061.6938161.317843e-08
0.5860111.6936041.340228e-08
0.5891341.6933951.362732e-08
0.5922731.6931871.385356e-08
0.5954281.6929811.408100e-08
0.5986011.6927781.430966e-08
0.601791.6925761.453954e-08
0.6049971.6923771.477064e-08
0.608221.6921791.500297e-08
0.6114611.6919841.523654e-08
0.6147191.691791.547136e-08
0.6179941.6915981.570742e-08
0.621.6914821.585200e-08
0.6212871.6914081.588488e-08
0.6245971.691221.596945e-08
0.6279251.6910341.605448e-08
0.6312711.690851.613996e-08
0.6346341.6906671.622590e-08
0.6380151.6904861.631229e-08
0.6414151.6903071.639915e-08
0.6448321.6901291.648647e-08
0.6482681.6899531.657425e-08
0.6517221.6897791.666250e-08
0.6551951.6896061.675122e-08
0.6586851.6894351.684041e-08
0.661.6893711.687400e-08
0.6621951.6892651.680694e-08
0.6657231.6890971.669915e-08
0.669271.6889311.659079e-08
0.6728361.6887661.648185e-08
0.6764211.6886031.637233e-08
0.6800251.6884411.626223e-08
0.6836481.688281.615154e-08
0.6872911.6881211.604026e-08
0.6909531.6879631.592839e-08
0.6946341.6878071.581592e-08
0.6983351.6876511.570285e-08
0.71.6875821.565200e-08
0.7020561.6874981.558188e-08
0.7057971.6873451.545433e-08
0.7095571.6871941.532609e-08
0.7133381.6870441.519717e-08
0.7171391.6868961.506756e-08
0.720961.6867481.493726e-08
0.7248011.6866021.480627e-08
0.7286631.6864571.467458e-08
0.7325451.6863131.454219e-08
0.7364481.6861711.440909e-08
0.7403721.6860291.427529e-08
0.7443171.6858891.414077e-08
0.7482831.685751.400553e-08
0.752271.6856111.386958e-08
0.7562781.6854741.373290e-08
0.7603071.6853381.359549e-08
0.7643581.6852031.345735e-08
0.7684311.6850691.331847e-08
0.7725251.6849361.317886e-08
0.7766411.6848041.303849e-08
0.7807791.6846731.289739e-08
0.7849391.6845431.275553e-08
0.7891211.6844131.261291e-08
0.7933261.6842851.246953e-08
0.7975531.6841581.232539e-08
0.8018021.6840311.218049e-08
0.8060741.6839051.203481e-08
0.8103691.683781.188835e-08
0.8146871.6836561.174111e-08
0.8190281.6835331.159309e-08
0.8233911.6834111.144428e-08
0.8277791.6832891.129468e-08
0.8321891.6831681.114428e-08
0.8366231.6830481.099308e-08
0.8410811.6829291.084107e-08
0.8455621.682811.068825e-08
0.8500671.6826921.053462e-08
0.8545961.6825751.038017e-08
0.859151.6824591.022490e-08
0.8637271.6823431.006880e-08
0.8683291.6822289.911872e-09
0.8729561.6821139.754104e-09
0.8776071.6819999.595496e-09
0.8822831.6818869.436043e-09
0.8869841.6817739.275740e-09
0.891711.6816619.114584e-09
0.8964611.6815498.952568e-09
0.9012381.6814388.789689e-09
0.9060391.6813288.625943e-09
0.9108671.6812188.461324e-09
0.915721.6811088.295828e-09
0.9205991.6809998.129450e-09
0.9255041.6808917.962186e-09
0.9304351.6807837.794030e-09
0.9353931.6806757.624979e-09
0.9403771.6805687.455026e-09
0.9453871.6804617.284169e-09
0.9504241.6803557.112401e-09
0.9554881.6802496.939717e-09
0.9605791.6801446.766114e-09
0.9656971.6800396.591586e-09
0.9708421.6799346.416128e-09
0.9760151.679836.239734e-09
0.9812151.6797266.062402e-09
0.9864431.6796225.884124e-09
0.9916991.6795195.704896e-09
0.9969831.6794165.524714e-09
1.00231.6793135.343571e-09
1.007641.679215.161463e-09
1.0131.6791084.978385e-09
1.01841.6790064.794332e-09
1.023831.6789044.609298e-09
1.029281.6788034.423278e-09
1.034771.6787024.236266e-09
1.040281.6786014.048259e-09
1.045821.67853.859250e-09
1.05141.6783993.669233e-09
1.0571.6782993.478205e-09
1.061.6782453.375800e-09
1.062631.6781983.879443e-09
1.068291.6780984.964182e-09
1.073981.6779986.054700e-09
1.07971.6778987.151030e-09
1.085461.6777988.253200e-09
1.091241.6776989.361243e-09
1.097061.6775991.047519e-08
1.10291.6774991.159507e-08
1.108781.6773991.272092e-08
1.114681.67731.385277e-08
1.120621.67721.499064e-08
1.126591.6771011.613459e-08
1.13261.6770011.728462e-08
1.138631.6769021.844078e-08
1.14471.6768021.960311e-08
1.15081.6767032.077162e-08
1.156931.6766032.194637e-08
1.163091.6765042.312737e-08
1.169291.6764042.431466e-08
1.175521.6763042.550828e-08
1.181781.6762052.670826e-08
1.188081.6761052.791463e-08
1.194411.6760052.912743e-08
1.200771.6759043.034670e-08
1.207171.6758043.157245e-08
1.21361.6757043.280474e-08
1.220071.6756033.404360e-08
1.226571.6755023.528906e-08
1.233111.6754013.654115e-08
1.239681.67533.779991e-08
1.246281.6751993.906538e-08
1.252921.6750974.033760e-08
1.25961.6749954.161659e-08
1.266311.6748934.290239e-08
1.273061.6747914.419505e-08
1.279841.6746884.549459e-08
1.286661.6745854.680106e-08
1.293511.6744824.811449e-08
1.30041.6743794.943492e-08
1.307331.6742755.076238e-08
1.31431.6741715.209692e-08
1.32131.6740665.343856e-08
1.328341.6739615.478736e-08
1.335421.6738565.614334e-08
1.342531.673755.750654e-08
1.349691.6736445.887701e-08
1.356881.6735386.025478e-08
1.364111.6734316.163990e-08
1.371381.6733236.303239e-08
1.378681.6732156.443230e-08
1.386031.6731076.583967e-08
1.393411.6729986.725454e-08
1.400841.6728896.867694e-08
1.40831.6727797.010693e-08
1.415811.6726697.154454e-08
1.423351.6725587.298980e-08
1.430931.6724477.444276e-08
1.438561.6723357.590347e-08
1.446221.6722227.737196e-08
1.453931.6721097.884827e-08
1.461671.6719958.033245e-08
1.469461.6718818.182454e-08
1.477291.6717668.332458e-08
1.485161.671658.483261e-08
1.493081.6715348.634867e-08
1.501031.6714178.787282e-08
1.509031.6712998.940508e-08
1.517071.671189.094551e-08
1.525151.6710619.249414e-08
1.531.670999.342300e-08
1.533281.6709419.923282e-08
1.541451.670821.137122e-07
1.549661.6706991.282687e-07
1.557921.6705771.429027e-07
1.566221.6704541.576147e-07
1.574561.670331.724051e-07
1.582951.6702051.872744e-07
1.591391.6700792.022228e-07
1.599871.6699532.172509e-07
1.608391.6698252.323591e-07
1.616961.6696972.475477e-07
1.625571.6695682.628173e-07
1.634241.6694382.781682e-07
1.642941.6693072.936010e-07
1.65171.6691743.091159e-07
1.66051.6690413.247135e-07
1.669341.6689073.403943e-07
1.678241.6687723.561585e-07
1.687181.6686363.720068e-07
1.696171.6684993.879395e-07
1.705211.668364.039571e-07
1.714291.6682214.200601e-07
1.723431.668084.362488e-07
1.732611.6679394.525238e-07
1.741841.6677964.688855e-07
1.751121.6676524.853344e-07
1.760451.6675065.018710e-07
1.769831.667365.184956e-07
1.779261.6672125.352088e-07
1.788741.6670635.520111e-07
1.798271.6669135.689029e-07
1.807851.6667615.858847e-07
1.817491.6666086.029569e-07
1.827171.6664546.201202e-07
1.83691.6662986.373748e-07
1.846691.6661416.547215e-07
1.856531.6659836.721605e-07
1.866421.6658236.896925e-07
1.876371.6656627.073178e-07
1.886371.6654997.250371e-07
1.896421.6653357.428508e-07
1.906521.6651697.607594e-07
1.916681.6650027.787634e-07
1.926891.6648337.968634e-07
1.937161.6646628.150597e-07
1.947481.664498.333531e-07
1.957851.6643168.517439e-07
1.968291.6641418.702327e-07
1.971.6641128.732700e-07
1.978771.6639639.784663e-07
1.989321.6637851.104880e-06
1.999921.6636041.231968e-06
2.010571.6634211.359732e-06
2.021281.6632371.488177e-06
2.032051.6630511.617307e-06
2.042881.6628631.747125e-06
2.053771.6626731.877634e-06
2.064711.6624822.008839e-06
2.075711.6622882.140743e-06
2.086771.6620922.273349e-06
2.097891.6618952.406662e-06
2.109061.6616952.540686e-06
2.12031.6614932.675423e-06
2.13161.6612892.810879e-06
2.142961.6610842.947056e-06
2.154371.6608753.083959e-06
2.165851.6606653.221591e-06
2.177391.6604533.359956e-06
2.188991.6602383.499059e-06
2.200661.6600213.638903e-06
2.212381.6598013.779492e-06
2.224171.659583.920830e-06
2.236021.6593554.062921e-06
2.247931.6591294.205769e-06
2.259911.65894.349378e-06
2.271951.6586684.493753e-06
2.284061.6584344.638896e-06
2.296231.6581984.784813e-06
2.308461.6579594.931508e-06
2.320761.6577175.078984e-06
2.3251.6576335.129800e-06
2.333131.6574725.451131e-06
2.345561.6572255.942636e-06
2.358061.6569756.436759e-06
2.370621.6567226.933515e-06
2.383251.6564667.432918e-06
2.395951.6562087.934982e-06
2.408711.6559468.439721e-06
2.421551.6556818.947149e-06
2.434451.6554149.457280e-06
2.447421.6551439.970130e-06
2.460461.654871.048571e-05
2.473571.6545931.100404e-05
2.486751.6543131.152513e-05
2.51.6540291.204900e-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
—