Optical constants

Refractive index of N-SF11 (SCHOTT)

N-SF11: n,k 0.37–2.5 µm

Data
formula 2 + tabulated k
Range
0.37–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.37–2.5 µm
Refractive index n
1.78471
Extinction coefficient k
3.13132e-08
Permittivity ε1
3.1852
Permittivity ε2
1.11770e-07
Absorption coefficient α
0.00669662 cm⁻¹
Penetration depth δ = λ/(2πk)
2.98658e+09 nm
Abbe number Vd
25.68
Chromatic dispersion dn/dλ
-0.152844 µm⁻¹
Group index ng
1.87453
Group velocity dispersion
315.672 fs²/mm
Dispersion parameter D
-1722.16 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-SF11 (SCHOTT): N-SF11
schott_n_sf11 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-SF11", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_sf11.range_nm)  # (370, 2500) nm
eps = schott_n_sf11.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=1.73759695λ2λ2−0.013188707+0.313747346λ2λ2−0.0623068142+1.89878101λ2λ2−155.23629

Valid from 0.37 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.73759695
C30.013188707
C40.313747346
C50.0623068142
C61.89878101
C7155.23629

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -3.56e-06 9.2e-09 -2.1e-11 9.65e-07 1.44e-09 0.294
nd
1.78472
Vd
25.68
glass code
785257.322
glass status
standard
density
value: 3224
thermal expansion
value: 8.52e-06, temperature range: 243 343; value: 9.85e-06, temperature range: 293 573
dPgF
0.015
resistance
acid: 1.0; stain: 0.0; alkali: 1.0; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -2.98e-07 K⁻¹ at 633 nm, dn/dT = -1.74e-06 K⁻¹ at 1310 nm, dn/dT = -1.84e-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 417 wavelengths, the same grid as the API and the library
N-SF11 (SCHOTT), N-SF11: n and k versus wavelength
λ (µm)nk
0.371.8700227.319200e-06
0.3717761.8682796.474816e-06
0.373561.866575.626380e-06
0.3753531.8648964.773871e-06
0.3771551.8632543.917270e-06
0.3789651.8616443.056558e-06
0.381.8607412.564600e-06
0.3807841.8600652.455140e-06
0.3826121.8585162.200049e-06
0.3844481.8569961.943734e-06
0.3862941.8555041.686188e-06
0.3881481.8540391.427406e-06
0.391.852611.168900e-06
0.3900111.8526011.168336e-06
0.3918831.8511891.071274e-06
0.3937641.8498039.737462e-07
0.3956541.8484418.757501e-07
0.3975531.8471037.772837e-07
0.3994611.8457886.783447e-07
0.41.8454226.504000e-07
0.4013781.8444966.134262e-07
0.4033051.8432275.617487e-07
0.4051.8421325.162800e-07
0.4052411.8419785.125157e-07
0.4071861.8407514.820986e-07
0.409141.8395444.515354e-07
0.4111041.8383584.208256e-07
0.4130771.8371913.899684e-07
0.415061.8360433.589630e-07
0.4170521.8349133.278089e-07
0.4190541.8338022.965052e-07
0.421.8332852.817100e-07
0.4210651.8327092.758217e-07
0.4230861.8316332.646504e-07
0.4251171.8305742.534255e-07
0.4271581.8295312.421468e-07
0.4292081.8285052.308139e-07
0.4312681.8274942.194266e-07
0.4333381.8264992.079846e-07
0.4354181.8255191.964878e-07
0.4361.8252491.932700e-07
0.4375081.8245541.887982e-07
0.4396081.8236041.825700e-07
0.4417181.8226671.763120e-07
0.4438381.8217451.700240e-07
0.4459681.8208361.637058e-07
0.4481091.8199411.573572e-07
0.450261.8190581.509782e-07
0.4524211.8181891.445685e-07
0.4545921.8173321.381281e-07
0.4567741.8164871.316568e-07
0.4589671.8156541.251544e-07
0.461.8152671.220900e-07
0.461171.8148331.207603e-07
0.4633831.8140241.182439e-07
0.4656071.8132261.157155e-07
0.4678421.8124391.131750e-07
0.4700881.8116631.106222e-07
0.4723441.8108971.080572e-07
0.4746111.8101421.054799e-07
0.4768891.8093981.028902e-07
0.4791781.8086641.002881e-07
0.4814781.8079399.767352e-08
0.4837891.8072249.504637e-08
0.4861111.8065199.240661e-08
0.4884451.8058238.975418e-08
0.4907891.8051378.708902e-08
0.4931451.8044598.441107e-08
0.4955121.8037918.172026e-08
0.497891.8031317.901654e-08
0.51.8025557.661800e-08
0.500281.8024797.638707e-08
0.5026811.8018377.440572e-08
0.5050941.8012027.241487e-08
0.5075181.8005767.041446e-08
0.5099541.7999576.840445e-08
0.5124021.7993476.638479e-08
0.5148611.7987446.435544e-08
0.5173331.7981496.231635e-08
0.5198161.7975616.026747e-08
0.5223111.796985.820875e-08
0.5248181.7964075.614016e-08
0.5273371.7958415.406163e-08
0.5298681.7952825.197313e-08
0.5324111.794734.987460e-08
0.5349671.7941844.776601e-08
0.5375341.7936454.564729e-08
0.5401141.7931134.351840e-08
0.5427071.7925874.137929e-08
0.5453121.7920683.922992e-08
0.5461.7919323.866200e-08
0.5479291.7915553.815793e-08
0.5505591.7910483.747074e-08
0.5532021.7905473.678025e-08
0.5558571.7900513.608645e-08
0.5585251.7895623.538931e-08
0.5612061.7890793.468883e-08
0.5638991.7886013.398499e-08
0.5666061.7881293.327777e-08
0.5693261.7876623.256715e-08
0.5720581.78723.185312e-08
0.5748041.7867443.113567e-08
0.5775631.7862943.041477e-08
0.581.7859022.977800e-08
0.5803351.7858482.984571e-08
0.5831211.7854083.040838e-08
0.585921.7849723.097375e-08
0.5887321.7845423.154184e-08
0.5915581.7841163.211265e-08
0.5943971.7836953.268620e-08
0.597251.7832793.326251e-08
0.6001171.7828673.384158e-08
0.6029971.7824613.442343e-08
0.6058911.7820583.500807e-08
0.60881.781663.559552e-08
0.6117221.7812673.618579e-08
0.6146581.7808773.677889e-08
0.6176081.7804933.737484e-08
0.621.7801853.785800e-08
0.6205731.7801123.789295e-08
0.6235511.7797353.807480e-08
0.6265441.7793633.825752e-08
0.6295511.7789943.844111e-08
0.6325731.7786293.862559e-08
0.6356091.7782693.881095e-08
0.638661.7779123.899720e-08
0.6417261.7775593.918435e-08
0.6448061.777213.937239e-08
0.6479011.7768643.956134e-08
0.651011.7765223.975119e-08
0.6541351.7761843.994195e-08
0.6572751.7758494.013363e-08
0.661.7755624.030000e-08
0.660431.7755174.022884e-08
0.66361.7751893.970389e-08
0.6667851.7748653.917643e-08
0.6699851.7745443.864644e-08
0.6732011.7742263.811390e-08
0.6764321.7739113.757881e-08
0.6796791.77363.704115e-08
0.6829411.7732913.650091e-08
0.6862191.7729863.595807e-08
0.6895131.7726843.541263e-08
0.6928231.7723853.486457e-08
0.6961481.7720893.431388e-08
0.6994891.7717953.376055e-08
0.71.7717513.367600e-08
0.7028471.7715053.346311e-08
0.706221.7712183.321084e-08
0.709611.7709333.295735e-08
0.7130161.7706513.270265e-08
0.7164381.7703723.244672e-08
0.7198771.7700963.218957e-08
0.7233321.7698223.193118e-08
0.7268041.7695513.167155e-08
0.7302931.7692823.141067e-08
0.7337981.7690163.114855e-08
0.737321.7687533.088516e-08
0.7408591.7684923.062051e-08
0.7444151.7682333.035459e-08
0.7479881.7679773.008740e-08
0.7515781.7677242.981892e-08
0.7551861.7674722.954915e-08
0.7588111.7672232.927809e-08
0.7624531.7669772.900573e-08
0.7661121.7667322.873206e-08
0.769791.766492.845707e-08
0.7734841.766252.818077e-08
0.7771971.7660122.790314e-08
0.7809271.7657762.762418e-08
0.7846761.7655432.734388e-08
0.7884421.7653112.706223e-08
0.7922261.7650822.677923e-08
0.7960291.7648542.649488e-08
0.799851.7646292.620915e-08
0.8036891.7644052.592206e-08
0.8075461.7641842.563359e-08
0.8114221.7639642.534373e-08
0.8153171.7637462.505249e-08
0.8192311.763532.475984e-08
0.8231631.7633162.446579e-08
0.8271141.7631042.417033e-08
0.8310841.7628932.387345e-08
0.8350731.7626842.357515e-08
0.8390811.7624772.327541e-08
0.8431081.7622722.297424e-08
0.8471551.7620682.267162e-08
0.8512211.7618662.236755e-08
0.8553071.7616652.206201e-08
0.8594121.7614672.175501e-08
0.8635371.7612692.144654e-08
0.8676821.7610742.113659e-08
0.8718471.7608792.082515e-08
0.8760321.7606872.051221e-08
0.8802361.7604962.019778e-08
0.8844611.7603061.988183e-08
0.8887071.7601181.956437e-08
0.8929721.7599311.924538e-08
0.8972581.7597451.892486e-08
0.9015651.7595611.860281e-08
0.9058921.7593791.827920e-08
0.910241.7591971.795405e-08
0.9146091.7590171.762733e-08
0.9189991.7588381.729905e-08
0.923411.7586611.696919e-08
0.9278431.7584851.663774e-08
0.9322961.758311.630471e-08
0.9367711.7581361.597008e-08
0.9412671.7579631.563384e-08
0.9457851.7577921.529599e-08
0.9503251.7576221.495651e-08
0.9548861.7574531.461541e-08
0.9594691.7572851.427267e-08
0.9640751.7571181.392828e-08
0.9687021.7569521.358224e-08
0.9733521.7567871.323454e-08
0.9780231.7566231.288517e-08
0.9827181.7564611.253413e-08
0.9874351.7562991.218140e-08
0.9921741.7561381.182697e-08
0.9969361.7559791.147085e-08
1.001721.755821.111301e-08
1.006531.7556621.075346e-08
1.011361.7555051.039219e-08
1.016221.7553491.002917e-08
1.021091.7551949.664420e-09
1.025991.755049.297915e-09
1.030921.7548878.929651e-09
1.035871.7547348.559620e-09
1.040841.7545838.187812e-09
1.045831.7544327.814220e-09
1.050851.7542827.438835e-09
1.05591.7541327.061648e-09
1.061.7540126.754900e-09
1.060971.7539846.892322e-09
1.066061.7538367.616652e-09
1.071181.7536898.344459e-09
1.076321.7535439.075758e-09
1.081481.7533979.810568e-09
1.086671.7532521.054891e-08
1.091891.7531081.129079e-08
1.097131.7529641.203623e-08
1.10241.7528211.278525e-08
1.107691.7526791.353786e-08
1.1131.7525371.429409e-08
1.118351.7523961.505395e-08
1.123711.7522551.581745e-08
1.129111.7521151.658462e-08
1.134531.7519751.735547e-08
1.139971.7518361.813002e-08
1.145451.7516981.890829e-08
1.150941.751561.969029e-08
1.156471.7514222.047605e-08
1.162021.7512852.126558e-08
1.16761.7511492.205890e-08
1.17321.7510132.285602e-08
1.178831.7508772.365698e-08
1.184491.7507422.446177e-08
1.190171.7506072.527043e-08
1.195891.7504722.608298e-08
1.201631.7503382.689942e-08
1.207391.7502052.771978e-08
1.213191.7500712.854407e-08
1.219011.7499382.937233e-08
1.224861.7498053.020456e-08
1.230741.7496733.104078e-08
1.236651.7495413.188102e-08
1.242591.7494093.272529e-08
1.248551.7492783.357361e-08
1.254541.7491463.442601e-08
1.260561.7490153.528249e-08
1.266621.7488843.614309e-08
1.272691.7487543.700782e-08
1.27881.7486233.787670e-08
1.284941.7484933.874975e-08
1.291111.7483633.962699e-08
1.297311.7482334.050844e-08
1.303531.7481034.139412e-08
1.309791.7479744.228405e-08
1.316081.7478444.317825e-08
1.322391.7477154.407675e-08
1.328741.7475864.497956e-08
1.335121.7474564.588670e-08
1.341531.7473274.679819e-08
1.347971.7471984.771406e-08
1.354441.7470694.863433e-08
1.360941.746944.955901e-08
1.367471.7468115.048813e-08
1.374031.7466825.142172e-08
1.380631.7465535.235978e-08
1.387251.7464245.330234e-08
1.393911.7462955.424943e-08
1.40061.7461665.520107e-08
1.407331.7460375.615727e-08
1.414081.7459085.711806e-08
1.420871.7457785.808347e-08
1.427691.7456495.905350e-08
1.434541.7455196.002820e-08
1.441431.745396.100757e-08
1.448341.745266.199164e-08
1.45531.745136.298044e-08
1.462281.7456.397398e-08
1.46931.744876.497229e-08
1.476351.7447396.597539e-08
1.483441.7446096.698331e-08
1.490561.7444786.799607e-08
1.497711.7443476.901368e-08
1.50491.7442157.003618e-08
1.512131.7440847.106359e-08
1.519381.7439527.209593e-08
1.526681.743827.313323e-08
1.531.743767.360600e-08
1.5341.7436877.800504e-08
1.541371.7435548.609463e-08
1.548771.7434219.422304e-08
1.55621.7432881.023905e-07
1.563671.7431541.105971e-07
1.571171.743021.188431e-07
1.578711.7428861.271287e-07
1.586291.7427511.354541e-07
1.593911.7426151.438194e-07
1.601561.742481.522249e-07
1.609241.7423431.606707e-07
1.616971.7422071.691571e-07
1.624731.742071.776842e-07
1.632531.7419321.862522e-07
1.640361.7417941.948613e-07
1.648241.7416562.035118e-07
1.656151.7415172.122038e-07
1.66411.7413772.209375e-07
1.672081.7412372.297131e-07
1.680111.7410962.385309e-07
1.688171.7409552.473910e-07
1.696281.7408132.562936e-07
1.704421.7406712.652389e-07
1.71261.7405282.742272e-07
1.720821.7403842.832586e-07
1.729081.740242.923333e-07
1.737381.7400953.014517e-07
1.745721.7399493.106137e-07
1.75411.7398033.198198e-07
1.762521.7396563.290700e-07
1.770981.7395083.383647e-07
1.779481.7393593.477040e-07
1.788021.739213.570880e-07
1.79661.739063.665172e-07
1.805221.7389093.759916e-07
1.813891.7387583.855114e-07
1.822591.7386053.950770e-07
1.831341.7384524.046884e-07
1.840131.7382984.143460e-07
1.848971.7381434.240500e-07
1.857841.7379874.338005e-07
1.866761.737834.435979e-07
1.875721.7376734.534422e-07
1.884721.7375144.633338e-07
1.893771.7373554.732729e-07
1.902861.7371944.832597e-07
1.911991.7370334.932944e-07
1.921171.736875.033773e-07
1.930391.7367075.135086e-07
1.939651.7365425.236885e-07
1.948961.7363775.339173e-07
1.958321.736215.441952e-07
1.967721.7360435.545224e-07
1.971.7360025.570300e-07
1.977161.7358745.990470e-07
1.986651.7357046.547191e-07
1.996191.7355337.106584e-07
2.005771.7353617.668662e-07
2.01541.7351878.233439e-07
2.025071.7350138.800925e-07
2.034791.7348379.371136e-07
2.044561.734669.944084e-07
2.054371.7344821.051978e-06
2.064231.7343021.109824e-06
2.074141.7341221.167948e-06
2.084091.733941.226351e-06
2.09411.7337561.285034e-06
2.104151.7335711.343998e-06
2.114251.7333851.403246e-06
2.12441.7331981.462778e-06
2.134591.7330091.522596e-06
2.144841.7328191.582701e-06
2.155131.7326271.643095e-06
2.165481.7324341.703778e-06
2.175871.7322391.764753e-06
2.186321.7320431.826020e-06
2.196811.7318451.887581e-06
2.207351.7316461.949438e-06
2.217951.7314452.011592e-06
2.228591.7312422.074044e-06
2.239291.7310382.136796e-06
2.250041.7308322.199849e-06
2.260841.7306252.263204e-06
2.271691.7304162.326864e-06
2.282591.7302052.390829e-06
2.293551.7299922.455102e-06
2.304561.7297782.519683e-06
2.315621.7295622.584573e-06
2.3251.7293782.639600e-06
2.326731.7293442.651142e-06
2.33791.7291242.725457e-06
2.349121.7289022.800128e-06
2.36041.7286792.875157e-06
2.371731.7284532.950546e-06
2.383111.7282263.026298e-06
2.394551.7279973.102413e-06
2.406041.7277653.178893e-06
2.417591.7275323.255741e-06
2.42921.7272973.332957e-06
2.440861.7270593.410544e-06
2.452571.726823.488503e-06
2.464341.7265783.566836e-06
2.476171.7263343.645546e-06
2.488061.7260883.724633e-06
2.51.725843.804100e-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
—