Optical constants

Refractive index of N-LAF33 (SCHOTT)

N-LAF33: 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
1.78582
Extinction coefficient k
1.12565e-08
Permittivity ε1
3.18916
Permittivity ε2
4.02043e-08
Absorption coefficient α
0.00240732 cm⁻¹
Penetration depth δ = λ/(2πk)
8.30801e+09 nm
Abbe number Vd
44.052
Chromatic dispersion dn/dλ
-0.0913063 µm⁻¹
Group index ng
1.83947
Group velocity dispersion
169.124 fs²/mm
Dispersion parameter D
-922.658 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-LAF33 (SCHOTT): N-LAF33
schott_n_laf33 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-LAF33", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_laf33.range_nm)  # (320, 2500) nm
eps = schott_n_laf33.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=1.79653417λ2λ2−0.00927313493+0.311577903λ2λ2−0.0358201181+1.15981863λ2λ2−87.3448712

Valid from 0.32 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.79653417
C30.00927313493
C40.311577903
C50.0358201181
C61.15981863
C787.3448712

Comments and conditions

suitable for precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 8.17e-06 1.24e-08 -1.65e-11 7.11e-07 8.59e-10 0.21
nd
1.78582
Vd
44.05
glass code
786441.436
glass status
standard
density
value: 4360
thermal expansion
value: 5.6e-06, temperature range: 243 343; value: 6.7e-06, temperature range: 293 573
dPgF
-0.0071
resistance
acid: 52.2; stain: 2.0; alkali: 1.0; climatic: 1.0; phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 6.20e-06 K⁻¹ at 633 nm, dn/dT = 5.13e-06 K⁻¹ at 1310 nm, dn/dT = 5.03e-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
N-LAF33 (SCHOTT), N-LAF33: n and k versus wavelength
λ (µm)nk
0.321.8582986.330100e-06
0.3216531.8570445.884971e-06
0.3233141.8558125.437542e-06
0.3249851.8545994.987802e-06
0.3266631.8534064.535739e-06
0.3283511.8522324.081341e-06
0.3300471.8510773.624596e-06
0.3317521.8499413.165491e-06
0.3334651.8488222.704015e-06
0.3341.8484782.560000e-06
0.3351881.8477212.445949e-06
0.3369191.8466372.279691e-06
0.3386591.845572.112573e-06
0.3404091.844521.944593e-06
0.3421671.8434851.775745e-06
0.3439351.8424671.606024e-06
0.3457111.8414631.435427e-06
0.3474971.8404751.263949e-06
0.3492921.8395021.091585e-06
0.351.8391241.023600e-06
0.3510961.8385439.856309e-07
0.352911.8375999.228181e-07
0.3547331.8366688.596807e-07
0.3565651.8357517.962173e-07
0.3584071.8348487.324260e-07
0.3602581.8339576.683052e-07
0.3621191.833086.038532e-07
0.363991.8322155.390682e-07
0.3651.8317545.040800e-07
0.365871.8313624.854051e-07
0.367761.8305224.448366e-07
0.369661.8296934.040585e-07
0.371.8295463.967500e-07
0.3715691.8288763.737892e-07
0.3734881.8280713.457016e-07
0.3754181.8272773.174690e-07
0.3773571.8264942.890905e-07
0.3793061.8257212.605655e-07
0.381.825452.504100e-07
0.3812651.824962.398799e-07
0.3832351.8242092.234903e-07
0.3852141.8234682.070161e-07
0.3872041.8227371.904569e-07
0.3892041.8220161.738120e-07
0.391.8217331.671900e-07
0.3912151.8213051.614675e-07
0.3932361.8206041.519475e-07
0.3952671.8199111.423782e-07
0.3973091.8192291.327596e-07
0.3993611.8185551.230912e-07
0.41.8183471.200800e-07
0.4014241.817891.156978e-07
0.4034971.8172341.093155e-07
0.4051.8167661.046900e-07
0.4055821.8165861.035086e-07
0.4076771.8159479.925216e-08
0.4097821.8153169.497378e-08
0.4118991.8146949.067330e-08
0.4140271.8140798.635060e-08
0.4161651.8134738.200558e-08
0.4183151.8128747.763811e-08
0.421.8124127.421500e-08
0.4204761.8122837.373565e-08
0.4226481.8116997.154808e-08
0.4248311.8111236.934920e-08
0.4270261.8105546.713897e-08
0.4292311.8099936.491732e-08
0.4314491.8094386.268420e-08
0.4336771.808896.043954e-08
0.4359171.808355.818328e-08
0.4361.808335.810000e-08
0.4381691.8078165.647123e-08
0.4404321.8072885.477164e-08
0.4427071.8067675.306327e-08
0.4449941.8062535.134607e-08
0.4472931.8057454.962001e-08
0.4496031.8052434.788502e-08
0.4519261.8047474.614108e-08
0.454261.8042574.438813e-08
0.4566071.8037734.262612e-08
0.4589651.8032964.085501e-08
0.461.8030884.007800e-08
0.4613361.8028233.938112e-08
0.4637191.8023573.813814e-08
0.4661141.8018963.688873e-08
0.4685221.8014413.563287e-08
0.4709421.8009913.437052e-08
0.4733751.8005463.310165e-08
0.475821.8001073.182623e-08
0.4782781.7996723.054422e-08
0.4807481.7992432.925559e-08
0.4832321.7988192.796030e-08
0.4857281.79842.665832e-08
0.4882371.7979862.534961e-08
0.4907591.7975772.403415e-08
0.4932941.7971722.271188e-08
0.4958421.7967722.138279e-08
0.4984031.7963772.004684e-08
0.51.7961341.921400e-08
0.5009781.7959861.902790e-08
0.5035661.79561.853537e-08
0.5061671.7952181.804031e-08
0.5087811.7948411.754268e-08
0.5114091.7944671.704248e-08
0.5140511.7940981.653970e-08
0.5167061.7937341.603432e-08
0.5193761.7933731.552634e-08
0.5220581.7930161.501572e-08
0.5247551.7926631.450247e-08
0.5274661.7923151.398657e-08
0.530191.791971.346801e-08
0.5329291.7916291.294676e-08
0.5356821.7912921.242283e-08
0.5384491.7909581.189618e-08
0.541231.7906281.136682e-08
0.5440261.7903021.083472e-08
0.5461.7900751.045900e-08
0.5468361.7899791.047503e-08
0.5496611.789661.052920e-08
0.55251.7893441.058365e-08
0.5553541.7890321.063838e-08
0.5582231.7887231.069339e-08
0.5611061.7884171.074868e-08
0.5640041.7881151.080426e-08
0.5669181.7878161.086013e-08
0.5698461.787521.091629e-08
0.572791.7872271.097273e-08
0.5757491.7869371.102947e-08
0.5787231.7866511.108650e-08
0.581.7865291.111100e-08
0.5817121.7863671.114378e-08
0.5847171.7860861.120133e-08
0.5877371.7858091.125917e-08
0.5907731.7855341.131730e-08
0.5938251.7852621.137574e-08
0.5968921.7849921.143448e-08
0.5999751.7847261.149353e-08
0.6030741.7844621.155288e-08
0.606191.7842011.161253e-08
0.6093211.7839431.167250e-08
0.6124681.7836871.173277e-08
0.6156321.7834341.179335e-08
0.6188121.7831841.185425e-08
0.621.7830911.187700e-08
0.6220091.7829361.180941e-08
0.6252221.782691.170129e-08
0.6284511.7824471.159262e-08
0.6316971.7822061.148338e-08
0.634961.7819681.137358e-08
0.638241.7817321.126321e-08
0.6415371.7814981.115228e-08
0.6448511.7812661.104076e-08
0.6481821.7810371.092868e-08
0.651531.780811.081601e-08
0.6548961.7805861.070276e-08
0.6582781.7803631.058893e-08
0.661.7802511.053100e-08
0.6616791.7801421.046383e-08
0.6650971.7799241.032707e-08
0.6685321.7797081.018960e-08
0.6719861.7794931.005143e-08
0.6754571.7792819.912541e-09
0.6789461.7790719.772935e-09
0.6824531.7788629.632607e-09
0.6859781.7786569.491555e-09
0.6895211.7784519.349774e-09
0.6930831.7782499.207261e-09
0.6966631.7780489.064012e-09
0.71.7778638.930500e-09
0.7002621.7778498.928918e-09
0.7038791.7776518.907058e-09
0.7075151.7774568.885085e-09
0.711171.7772628.862998e-09
0.7148431.777078.840798e-09
0.7185361.776888.818483e-09
0.7222471.7766918.796053e-09
0.7259781.7765048.773506e-09
0.7297281.7763198.750844e-09
0.7334971.7761358.728064e-09
0.7372861.7759538.705167e-09
0.7410951.7757728.682151e-09
0.7449231.7755938.659016e-09
0.7487711.7754158.635762e-09
0.7526391.7752398.612388e-09
0.7565261.7750648.588893e-09
0.7604341.7748918.565277e-09
0.7643621.7747198.541538e-09
0.768311.7745488.517678e-09
0.7722791.7743798.493693e-09
0.7762681.7742118.469585e-09
0.7802781.7740458.445353e-09
0.7843091.7738798.420995e-09
0.788361.7737158.396511e-09
0.7924321.7735538.371901e-09
0.7965261.7733918.347164e-09
0.800641.7732318.322299e-09
0.8047761.7730728.297306e-09
0.8089331.7729148.272183e-09
0.8131111.7727588.246931e-09
0.8173111.7726028.221548e-09
0.8215331.7724488.196035e-09
0.8257771.7722958.170389e-09
0.8300421.7721428.144611e-09
0.834331.7719918.118700e-09
0.838641.7718418.092655e-09
0.8429721.7716928.066475e-09
0.8473261.7715448.040160e-09
0.8517031.7713978.013709e-09
0.8561021.7712517.987122e-09
0.8605241.7711067.960397e-09
0.864971.7709627.933534e-09
0.8694371.7708187.906533e-09
0.8739291.7706767.879392e-09
0.8784431.7705357.852111e-09
0.882981.7703947.824688e-09
0.8875411.7702547.797125e-09
0.8921261.7701167.769418e-09
0.8967341.7699787.741569e-09
0.9013661.769847.713576e-09
0.9060221.7697047.685438e-09
0.9107021.7695687.657155e-09
0.9154071.7694337.628726e-09
0.9201351.7692997.600150e-09
0.9248881.7691667.571426e-09
0.9296661.7690337.542554e-09
0.9344681.7689017.513533e-09
0.9392951.7687697.484362e-09
0.9441471.7686397.455040e-09
0.9490241.7685097.425567e-09
0.9539261.7683797.395942e-09
0.9588531.768257.366163e-09
0.9638061.7681227.336231e-09
0.9687851.7679957.306144e-09
0.9737891.7678687.275902e-09
0.9788191.7677417.245503e-09
0.9838751.7676157.214947e-09
0.9889571.767497.184234e-09
0.9940661.7673657.153362e-09
0.9992011.767247.122330e-09
1.004361.7671167.091139e-09
1.009551.7669937.059786e-09
1.014761.766877.028271e-09
1.020011.7667476.996593e-09
1.025281.7666256.964752e-09
1.030571.7665046.932746e-09
1.035891.7663826.900575e-09
1.041251.7662616.868238e-09
1.046621.7661416.835733e-09
1.052031.766026.803061e-09
1.057461.7659016.770220e-09
1.061.7658456.754900e-09
1.062931.7657817.511915e-09
1.068421.7656628.931804e-09
1.073941.7655431.035903e-08
1.079481.7654241.179362e-08
1.085061.7653061.323563e-08
1.090671.7651881.468509e-08
1.09631.765071.614203e-08
1.101961.7649521.760650e-08
1.107651.7648341.907853e-08
1.113381.7647172.055817e-08
1.119131.76462.204545e-08
1.124911.7644832.354041e-08
1.130721.7643672.504309e-08
1.136561.764252.655354e-08
1.142431.7641342.807179e-08
1.148331.7640172.959788e-08
1.154261.7639013.113185e-08
1.160231.7637853.267375e-08
1.166221.7636693.422361e-08
1.172241.7635533.578148e-08
1.17831.7634373.734740e-08
1.184381.7633213.892140e-08
1.19051.7632054.050354e-08
1.196651.7630894.209385e-08
1.202831.7629744.369237e-08
1.209051.7628584.529915e-08
1.215291.7627424.691423e-08
1.221571.7626264.853765e-08
1.227881.762515.016945e-08
1.234221.7623945.180969e-08
1.24061.7622785.345840e-08
1.2471.7621625.511563e-08
1.253451.7620455.678141e-08
1.259921.7619295.845580e-08
1.266431.7618126.013884e-08
1.272971.7616956.183057e-08
1.279551.7615796.353105e-08
1.286161.7614626.524030e-08
1.29281.7613446.695839e-08
1.299481.7612276.868535e-08
1.306191.7611097.042123e-08
1.312941.7609917.216607e-08
1.319721.7608737.391993e-08
1.326541.7607557.568285e-08
1.333391.7606367.745488e-08
1.340281.7605177.923606e-08
1.34721.7603988.102644e-08
1.354161.7602788.282607e-08
1.361151.7601588.463499e-08
1.368181.7600388.645326e-08
1.375251.7599178.828092e-08
1.382351.7597969.011802e-08
1.38951.7596759.196461e-08
1.396671.7595539.382074e-08
1.403891.7594319.568645e-08
1.411141.7593089.756181e-08
1.418431.7591859.944685e-08
1.425761.7590621.013416e-07
1.433121.7589381.032462e-07
1.440521.7588131.051606e-07
1.447961.7586881.070849e-07
1.455441.7585631.090191e-07
1.462961.7584371.109633e-07
1.470521.758311.129176e-07
1.478111.7581831.148820e-07
1.485751.7580551.168565e-07
1.493421.7579271.188412e-07
1.501141.7577981.208361e-07
1.508891.7576681.228414e-07
1.516691.7575381.248570e-07
1.524521.7574071.268831e-07
1.531.7573161.283000e-07
1.53241.7572761.324349e-07
1.540311.7571441.460965e-07
1.548271.7570111.598286e-07
1.556271.7568771.736317e-07
1.56431.7567431.875060e-07
1.572381.7566072.014521e-07
1.580511.7564722.154701e-07
1.588671.7563352.295606e-07
1.596881.7561972.437239e-07
1.605131.7560592.579603e-07
1.613421.755922.722703e-07
1.621751.755782.866541e-07
1.630131.7556393.011123e-07
1.638551.7554973.156452e-07
1.647011.7553543.302531e-07
1.655521.7552113.449365e-07
1.664071.7550663.596957e-07
1.672671.7549213.745312e-07
1.681311.7547743.894433e-07
1.689991.7546274.044324e-07
1.698721.7544784.194990e-07
1.70751.7543294.346434e-07
1.716321.7541784.498660e-07
1.725181.7540264.651672e-07
1.734091.7538734.805475e-07
1.743051.753724.960072e-07
1.752061.7535645.115468e-07
1.761111.7534085.271667e-07
1.77021.7532515.428672e-07
1.779351.7530925.586489e-07
1.788541.7529335.745120e-07
1.797781.7527715.904571e-07
1.807061.7526096.064846e-07
1.81641.7524466.225949e-07
1.825781.7522816.387883e-07
1.835211.7521156.550655e-07
1.844691.7519476.714267e-07
1.854221.7517786.878724e-07
1.86381.7516087.044030e-07
1.873421.7514367.210191e-07
1.88311.7512637.377210e-07
1.892831.7510897.545091e-07
1.902611.7509127.713840e-07
1.912431.7507357.883460e-07
1.922311.7505568.053957e-07
1.932241.7503758.225334e-07
1.942221.7501938.397597e-07
1.952261.7500098.570749e-07
1.962341.7498248.744796e-07
1.971.7496828.877000e-07
1.972481.7496379.196160e-07
1.982671.7494481.050925e-06
1.992911.7492571.182913e-06
2.00321.7490651.315582e-06
2.013551.7488711.448937e-06
2.023951.7486761.582980e-06
2.03441.7484781.717716e-06
2.044911.7482791.853148e-06
2.055481.7480771.989280e-06
2.066091.7478742.126114e-06
2.076771.7476692.263656e-06
2.087491.7474622.401908e-06
2.098281.7472532.540874e-06
2.109111.7470422.680557e-06
2.120011.7468292.820963e-06
2.130961.7466142.962094e-06
2.141971.7463973.103953e-06
2.153031.7461783.246546e-06
2.164151.7459563.389875e-06
2.175331.7457323.533944e-06
2.186571.7455063.678758e-06
2.197861.7452783.824319e-06
2.209221.7450483.970633e-06
2.220631.7448154.117702e-06
2.23211.744584.265531e-06
2.243631.7443424.414124e-06
2.255221.7441024.563484e-06
2.266871.743864.713615e-06
2.278581.7436154.864523e-06
2.290351.7433675.016209e-06
2.302181.7431175.168679e-06
2.314071.7428655.321937e-06
2.3251.7426315.462800e-06
2.326021.7426095.517902e-06
2.338041.7423516.164943e-06
2.350121.742096.815327e-06
2.362251.7418277.469070e-06
2.374461.741568.126189e-06
2.386721.7412918.786704e-06
2.399051.7410199.450630e-06
2.411441.7407441.011799e-05
2.42391.7404661.078879e-05
2.436421.7401851.146306e-05
2.449011.7399011.214081e-05
2.461661.7396131.282206e-05
2.474371.7393231.350683e-05
2.487151.7390291.419514e-05
2.51.7387321.488700e-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
—