Optical constants

Refractive index of LASFN9 (SCHOTT)

LASFN9: n,k 0.365–2.5 µm

Data
formula 2 + tabulated k
Range
0.365–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.5 µm
Refractive index n
1.85025
Extinction coefficient k
3.85492e-08
Permittivity ε1
3.42342
Permittivity ε2
1.42651e-07
Absorption coefficient α
0.0082441 cm⁻¹
Penetration depth δ = λ/(2πk)
2.42598e+09 nm
Abbe number Vd
32.17
Chromatic dispersion dn/dλ
-0.133424 µm⁻¹
Group index ng
1.92865
Group velocity dispersion
265.688 fs²/mm
Dispersion parameter D
-1449.47 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

# LASFN9 (SCHOTT): LASFN9
schott_lasfn9 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "LASFN9", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_lasfn9.range_nm)  # (365, 2500) nm
eps = schott_lasfn9.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=1.97888194λ2λ2−0.0118537266+0.320435298λ2λ2−0.052738177+1.92900751λ2λ2−166.25654

Valid from 0.365 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.97888194
C30.0118537266
C40.320435298
C50.052738177
C61.92900751
C7166.25654

Comments and conditions

was replaced by N-LASF9

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 9.44e-07 1.14e-08 -1.87e-11 9.22e-07 1.22e-09 0.255
nd
1.85025
Vd
32.17
glass code
850322.444
glass status
preferred
density
value: 4440
thermal expansion
value: 7.4e-06, temperature range: 243 343; value: 8.4e-06, temperature range: 293 573
dPgF
0.0036
resistance
acid: 2.0; stain: 0.0; alkali: 1.0; climatic: 2.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.40e-06 K⁻¹ at 633 nm, dn/dT = 9.52e-07 K⁻¹ at 1310 nm, dn/dT = 8.44e-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 418 wavelengths, the same grid as the API and the library
LASFN9 (SCHOTT), LASFN9: n and k versus wavelength
λ (µm)nk
0.3651.9237984.434400e-06
0.3667641.9224043.951685e-06
0.3685371.9210333.466637e-06
0.371.9199243.066500e-06
0.3703191.9196853.021415e-06
0.3721091.918362.768359e-06
0.3739081.9170572.514080e-06
0.3757151.9157762.258572e-06
0.3775321.9145162.001829e-06
0.3793571.9132761.743845e-06
0.381.9128451.652900e-06
0.381191.9120571.580852e-06
0.3830331.9108571.469332e-06
0.3848851.9096761.357272e-06
0.3867451.9085141.244671e-06
0.3886151.907371.131525e-06
0.391.9065371.047700e-06
0.3904941.9062441.032093e-06
0.3923811.9051359.723951e-07
0.3942781.9040449.124088e-07
0.3961841.9029698.521326e-07
0.3980991.901917.915649e-07
0.41.9008817.314500e-07
0.4000241.9008687.309561e-07
0.4019571.8998416.904442e-07
0.40391.898836.497364e-07
0.4051.8982666.267000e-07
0.4058531.8978336.150933e-07
0.4078151.8968515.883941e-07
0.4097861.8958845.615659e-07
0.4117671.8949315.346080e-07
0.4137581.8939915.075197e-07
0.4157581.8930654.803006e-07
0.4177681.8921524.529498e-07
0.4197871.8912534.254668e-07
0.421.8911594.225700e-07
0.4218161.8903654.093613e-07
0.4238561.8894913.945332e-07
0.4259041.8886293.796335e-07
0.4279631.8877783.646618e-07
0.4300321.886943.496177e-07
0.4321111.8861133.345009e-07
0.43421.8852973.193110e-07
0.4361.8846073.062200e-07
0.4362991.8844933.050305e-07
0.4384081.8836992.966328e-07
0.4405271.8829172.881945e-07
0.4426571.8821442.797154e-07
0.4447971.8813832.711952e-07
0.4469471.8806312.626339e-07
0.4491071.8798892.540313e-07
0.4512781.8791572.453870e-07
0.453461.8784352.367009e-07
0.4556521.8777222.279729e-07
0.4578551.8770182.192027e-07
0.461.8763452.106600e-07
0.4600681.8763242.104958e-07
0.4622921.8756382.051098e-07
0.4645271.8749621.996978e-07
0.4667721.8742941.942596e-07
0.4690291.8736341.887952e-07
0.4712961.8729831.833043e-07
0.4735741.872341.777869e-07
0.4758631.8717061.722428e-07
0.4781641.8710791.666719e-07
0.4804751.870461.610740e-07
0.4827981.8698491.554492e-07
0.4851321.8692451.497971e-07
0.4874771.8686491.441177e-07
0.4898331.868061.384108e-07
0.4922011.8674781.326764e-07
0.4945811.8669041.269142e-07
0.4969721.8663361.211242e-07
0.4993741.8657761.153062e-07
0.51.8656311.137900e-07
0.5017881.8652221.114248e-07
0.5042141.8646751.082159e-07
0.5066511.8641341.049914e-07
0.50911.86361.017514e-07
0.5115611.8630729.849574e-08
0.5140341.8625519.522433e-08
0.5165191.8620359.193711e-08
0.5190161.8615268.863399e-08
0.5215251.8610238.531491e-08
0.5240461.8605268.197978e-08
0.5265791.8600347.862853e-08
0.5291251.8595487.526108e-08
0.5316831.8590687.187735e-08
0.5342531.8585936.847726e-08
0.5368351.8581246.506074e-08
0.5394311.857666.162770e-08
0.5420381.8572025.817807e-08
0.5446581.8567495.471176e-08
0.5461.856525.293700e-08
0.5472911.8563015.241461e-08
0.5499371.8558585.134437e-08
0.5525951.855425.026896e-08
0.5552671.8549874.918834e-08
0.5579511.8545584.810250e-08
0.5606481.8541354.701142e-08
0.5633581.8537164.591505e-08
0.5660821.8533024.481339e-08
0.5688181.8528934.370641e-08
0.5715681.8524884.259407e-08
0.5743311.8520884.147635e-08
0.5771071.8516924.035323e-08
0.5798971.85133.922469e-08
0.581.8512853.918300e-08
0.58271.8509123.895780e-08
0.5855171.8505293.872288e-08
0.5883471.850153.848682e-08
0.5911921.8497753.824962e-08
0.5940491.8494043.801128e-08
0.5969211.8490373.777178e-08
0.5998071.8486743.753112e-08
0.6027061.8483153.728930e-08
0.605621.847963.704632e-08
0.6085471.8476083.680215e-08
0.6114891.8472613.655681e-08
0.6144451.8469163.631028e-08
0.6174151.8465763.606256e-08
0.621.8462843.584700e-08
0.62041.8462393.580604e-08
0.6233991.8459063.549894e-08
0.6264131.8455763.519035e-08
0.6294411.8452493.488027e-08
0.6324831.8449263.456869e-08
0.6355411.8446063.425561e-08
0.6386131.844293.394101e-08
0.64171.8439763.362489e-08
0.6448021.8436663.330724e-08
0.6479191.8433593.298806e-08
0.6510511.8430563.266733e-08
0.6541991.8427553.234505e-08
0.6573611.8424573.202122e-08
0.661.8422123.175100e-08
0.6605391.8421623.168565e-08
0.6637321.8418713.129841e-08
0.666941.8415823.090929e-08
0.6701651.8412963.051830e-08
0.6734041.8410133.012541e-08
0.6766591.8407322.973063e-08
0.679931.8404552.933393e-08
0.6832171.840182.893532e-08
0.686521.8399082.853478e-08
0.6898391.8396382.813231e-08
0.6931731.8393712.772789e-08
0.6965241.8391072.732152e-08
0.6998911.8388452.691318e-08
0.71.8388372.690000e-08
0.7032751.8385862.674752e-08
0.7066741.8383292.658922e-08
0.710091.8380752.643015e-08
0.7135231.8378232.627031e-08
0.7169721.8375742.610970e-08
0.7204381.8373262.594832e-08
0.7239211.8370812.578615e-08
0.727421.8368392.562320e-08
0.7309371.8365992.545946e-08
0.734471.8363612.529494e-08
0.7380211.8361252.512961e-08
0.7415881.8358912.496349e-08
0.7451731.8356592.479656e-08
0.7487751.835432.462883e-08
0.7523951.8352022.446028e-08
0.7560321.8349772.429092e-08
0.7596871.8347542.412075e-08
0.7633591.8345332.394975e-08
0.7670491.8343132.377792e-08
0.7707571.8340962.360526e-08
0.7744831.833882.343177e-08
0.7782271.8336672.325744e-08
0.7819891.8334552.308226e-08
0.7857691.8332452.290624e-08
0.7895681.8330372.272937e-08
0.7933851.8328312.255165e-08
0.797221.8326262.237306e-08
0.8010741.8324242.219361e-08
0.8049461.8322232.201329e-08
0.8088371.8320232.183211e-08
0.8127471.8318262.165004e-08
0.8166761.831632.146710e-08
0.8206241.8314352.128327e-08
0.8245911.8312432.109855e-08
0.8285771.8310512.091294e-08
0.8325831.8308622.072644e-08
0.8366071.8306742.053903e-08
0.8406521.8304872.035071e-08
0.8447151.8303022.016149e-08
0.8487991.8301181.997135e-08
0.8529021.8299361.978029e-08
0.8570251.8297561.958831e-08
0.8611681.8295761.939540e-08
0.8653311.8293981.920155e-08
0.8695141.8292221.900677e-08
0.8737171.8290471.881105e-08
0.8779411.8288731.861438e-08
0.8821851.82871.841676e-08
0.8864491.8285291.821819e-08
0.8907351.8283591.801866e-08
0.895041.828191.781816e-08
0.8993671.8280231.761669e-08
0.9037151.8278571.741425e-08
0.9080831.8276921.721083e-08
0.9124731.8275281.700643e-08
0.9168841.8273651.680103e-08
0.9213161.8272031.659465e-08
0.925771.8270431.638727e-08
0.9302451.8268841.617888e-08
0.9347421.8267251.596949e-08
0.9392611.8265681.575909e-08
0.9438011.8264121.554767e-08
0.9483641.8262571.533522e-08
0.9529481.8261031.512175e-08
0.9575551.825951.490725e-08
0.9621841.8257981.469171e-08
0.9668351.8256471.447513e-08
0.9715091.8254971.425750e-08
0.9762051.8253471.403882e-08
0.9809241.8251991.381908e-08
0.9856661.8250521.359828e-08
0.9904311.8249051.337642e-08
0.9952191.824761.315348e-08
1.000031.8246151.292946e-08
1.004861.8244711.270436e-08
1.009721.8243281.247817e-08
1.01461.8241861.225089e-08
1.019511.8240441.202251e-08
1.024441.8239041.179303e-08
1.029391.8237641.156243e-08
1.034361.8236251.133073e-08
1.039361.8234861.109790e-08
1.044391.8233491.086394e-08
1.049441.8232121.062886e-08
1.054511.8230751.039264e-08
1.059611.822941.015527e-08
1.061.822931.013700e-08
1.064731.8228051.023142e-08
1.069881.8226711.033418e-08
1.075051.8225371.043743e-08
1.080251.8224041.054118e-08
1.085471.8222721.064543e-08
1.090711.822141.075018e-08
1.095991.8220091.085544e-08
1.101291.8218781.096121e-08
1.106611.8217481.106750e-08
1.111961.8216191.117429e-08
1.117331.821491.128160e-08
1.122741.8213611.138943e-08
1.128161.8212331.149778e-08
1.133621.8211061.160666e-08
1.13911.8209791.171606e-08
1.14461.8208531.182599e-08
1.150141.8207261.193645e-08
1.15571.8206011.204745e-08
1.161281.8204761.215898e-08
1.16691.8203511.227105e-08
1.172541.8202271.238366e-08
1.17821.8201031.249682e-08
1.18391.8199791.261053e-08
1.189621.8198561.272478e-08
1.195371.8197331.283959e-08
1.201151.819611.295495e-08
1.206961.8194881.307087e-08
1.212791.8193661.318735e-08
1.218661.8192441.330439e-08
1.224551.8191231.342200e-08
1.230471.8190021.354018e-08
1.236421.8188811.365892e-08
1.242391.8187611.377825e-08
1.24841.818641.389815e-08
1.254431.818521.401862e-08
1.26051.81841.413969e-08
1.266591.8182811.426133e-08
1.272711.8181611.438357e-08
1.278871.8180421.450639e-08
1.285051.8179231.462981e-08
1.291261.8178041.475383e-08
1.29751.8176851.487844e-08
1.303771.8175661.500366e-08
1.310081.8174481.512948e-08
1.316411.8173291.525591e-08
1.322771.8172111.538295e-08
1.329171.8170931.551061e-08
1.335591.8169741.563888e-08
1.342051.8168561.576778e-08
1.348541.8167381.589730e-08
1.355061.816621.602744e-08
1.361611.8165021.615821e-08
1.368191.8163841.628961e-08
1.37481.8162661.642165e-08
1.381451.8161481.655433e-08
1.388131.816031.668765e-08
1.394841.8159121.682161e-08
1.401581.8157931.695622e-08
1.408351.8156751.709149e-08
1.415161.8155571.722740e-08
1.4221.8154381.736397e-08
1.428881.815321.750121e-08
1.435781.8152011.763910e-08
1.442731.8150831.777766e-08
1.44971.8149641.791690e-08
1.456711.8148451.805680e-08
1.463751.8147261.819739e-08
1.470831.8146061.833865e-08
1.477941.8144871.848059e-08
1.485081.8143671.862322e-08
1.492261.8142471.876654e-08
1.499471.8141271.891055e-08
1.506721.8140071.905526e-08
1.5141.8138861.920067e-08
1.521321.8137651.934678e-08
1.528681.8136441.949360e-08
1.531.8136221.952000e-08
1.536071.8135232.188464e-08
1.543491.8134012.477855e-08
1.550951.8132792.768644e-08
1.558451.8131573.060840e-08
1.565991.8130343.354447e-08
1.573561.8129113.649474e-08
1.581161.8127883.945928e-08
1.588811.8126644.243814e-08
1.596491.812544.543140e-08
1.60421.8124164.843913e-08
1.611961.8122915.146141e-08
1.619751.8121655.449829e-08
1.627581.812045.754985e-08
1.635451.8119146.061617e-08
1.643351.8117876.369730e-08
1.65131.811666.679333e-08
1.659281.8115326.990433e-08
1.66731.8114047.303037e-08
1.675361.8112767.617152e-08
1.683461.8111477.932785e-08
1.69161.8110178.249944e-08
1.699781.8108878.568636e-08
1.707991.8107568.888869e-08
1.716251.8106259.210650e-08
1.724551.8104939.533986e-08
1.732881.8103619.858886e-08
1.741261.8102281.018536e-07
1.749681.8100941.051340e-07
1.758131.809961.084304e-07
1.766631.8098251.117427e-07
1.775171.8096891.150709e-07
1.783761.8095531.184153e-07
1.792381.8094161.217759e-07
1.801041.8092781.251526e-07
1.809751.8091391.285458e-07
1.81851.8091.319553e-07
1.827291.808861.353813e-07
1.836121.8087191.388238e-07
1.8451.8085781.422830e-07
1.853921.8084361.457589e-07
1.862881.8082921.492517e-07
1.871881.8081481.527613e-07
1.880931.8080041.562878e-07
1.890021.8078581.598315e-07
1.899161.8077111.633922e-07
1.908341.8075641.669702e-07
1.917571.8074161.705654e-07
1.926841.8072661.741781e-07
1.936151.8071161.778082e-07
1.945511.8069651.814558e-07
1.954921.8068131.851211e-07
1.964371.806661.888041e-07
1.971.8065681.910000e-07
1.973861.8065062.001327e-07
1.98341.8063512.226997e-07
1.992991.8061952.453758e-07
2.002631.8060372.681615e-07
2.012311.8058792.910574e-07
2.022031.805723.140640e-07
2.031811.8055593.371817e-07
2.041631.8053983.604112e-07
2.05151.8052353.837531e-07
2.061421.8050714.072077e-07
2.071381.8049064.307757e-07
2.08141.804744.544577e-07
2.091461.8045724.782541e-07
2.101571.8044045.021656e-07
2.111731.8042345.261927e-07
2.121931.8040635.503359e-07
2.132191.803895.745958e-07
2.14251.8037175.989730e-07
2.152861.8035416.234680e-07
2.163261.8033656.480815e-07
2.173721.8031876.728139e-07
2.184231.8030086.976659e-07
2.194791.8028287.226380e-07
2.20541.8026467.477309e-07
2.216061.8024627.729450e-07
2.226771.8022777.982810e-07
2.237541.8020918.237395e-07
2.248351.8019038.493211e-07
2.259221.8017148.750264e-07
2.270141.8015239.008559e-07
2.281121.8013319.268102e-07
2.292141.8011379.528900e-07
2.303221.8009419.790959e-07
2.314361.8007441.005429e-06
2.3251.8005541.030600e-06
2.325541.8005451.034518e-06
2.336791.8003441.115376e-06
2.348081.8001421.196625e-06
2.359431.7999381.278266e-06
2.370841.7997321.360302e-06
2.38231.7995251.442735e-06
2.393821.7993151.525566e-06
2.405391.7991041.608798e-06
2.417021.7988911.692432e-06
2.42871.7986761.776470e-06
2.440441.798461.860915e-06
2.452241.7982411.945767e-06
2.464091.798022.031030e-06
2.4761.7977982.116705e-06
2.487971.7975732.202795e-06
2.51.7973472.289300e-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
—