Optical constants

Refractive index of N-SF56 (SCHOTT)

N-SF56: n,k 0.38–2.5 µm

Data
formula 2 + tabulated k
Range
0.38–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.38–2.5 µm
Refractive index n
1.7847
Extinction coefficient k
3.28336e-08
Permittivity ε1
3.18514
Permittivity ε2
1.17196e-07
Absorption coefficient α
0.00702176 cm⁻¹
Penetration depth δ = λ/(2πk)
2.84829e+09 nm
Abbe number Vd
26.095
Chromatic dispersion dn/dλ
-0.150514 µm⁻¹
Group index ng
1.87314
Group velocity dispersion
310.049 fs²/mm
Dispersion parameter D
-1691.48 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-SF56 (SCHOTT): N-SF56
schott_n_sf56 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-SF56", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_sf56.range_nm)  # (380, 2500) nm
eps = schott_n_sf56.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=1.73562085λ2λ2−0.0129624742+0.317487012λ2λ2−0.0612884288+1.95398203λ2λ2−161.559441

Valid from 0.38 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.73562085
C30.0129624742
C40.317487012
C50.0612884288
C61.95398203
C7161.559441

Comments and conditions

inquiry glass

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -4.13e-06 7.65e-09 -1.12e-11 9.9e-07 1.57e-09 0.287
nd
1.7847
Vd
26.1
glass code
785261.328
glass status
special
density
value: 3280
thermal expansion
value: 8.7e-06, temperature range: 243 343; value: 1e-05, temperature range: 293 573
dPgF
0.014
resistance
acid: 1.0; stain: 0.0; alkali: 1.3; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -6.20e-07 K⁻¹ at 633 nm, dn/dT = -2.07e-06 K⁻¹ at 1310 nm, dn/dT = -2.17e-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 416 wavelengths, the same grid as the API and the library
N-SF56 (SCHOTT), N-SF56: n and k versus wavelength
λ (µm)nk
0.381.8592072.467800e-06
0.3817981.8577062.245966e-06
0.3836051.8562322.023083e-06
0.3854211.8547861.799144e-06
0.3872451.8533651.574146e-06
0.3890781.8519691.348083e-06
0.391.8512791.234300e-06
0.3909191.8505991.186645e-06
0.3927691.8492521.090702e-06
0.3946281.8479289.943041e-07
0.3964951.8466278.974503e-07
0.3983721.8453498.001382e-07
0.41.8442627.157100e-07
0.4002571.8440927.084854e-07
0.4021521.8428566.553016e-07
0.4040551.8416416.018661e-07
0.4051.8410475.753300e-07
0.4059671.8404455.596527e-07
0.4078881.839275.285071e-07
0.4098191.8381134.972141e-07
0.4117581.8369754.657730e-07
0.4137071.8358564.341831e-07
0.4156651.8347544.024437e-07
0.4176321.8336693.705541e-07
0.4196091.8326023.385136e-07
0.421.8323933.321700e-07
0.4215951.8315513.199269e-07
0.423591.8305173.046071e-07
0.4255951.8294982.892147e-07
0.4276091.8284952.737495e-07
0.4296321.8275072.582111e-07
0.4316661.8265342.425991e-07
0.4337091.8255752.269133e-07
0.4357611.8246312.111532e-07
0.4361.8245222.093200e-07
0.4378241.8237012.039079e-07
0.4398961.8227841.977581e-07
0.4419771.8218811.915793e-07
0.4440691.8209911.853712e-07
0.4461711.8201131.791338e-07
0.4482821.8192481.728668e-07
0.4504041.8183961.665702e-07
0.4525361.8175561.602438e-07
0.4546771.8167271.538874e-07
0.4568291.815911.475009e-07
0.4589911.8151051.410843e-07
0.461.8147341.380900e-07
0.4611631.814311.364481e-07
0.4633461.8135271.333678e-07
0.4655391.8127541.302729e-07
0.4677421.8119921.271633e-07
0.4699561.8112411.240391e-07
0.472181.8104991.209001e-07
0.4744141.8097671.177462e-07
0.476661.8090461.145773e-07
0.4789161.8083331.113935e-07
0.4811821.8076311.081946e-07
0.4834591.8069371.049806e-07
0.4857471.8062531.017514e-07
0.4880461.8055779.850687e-08
0.4903561.804919.524700e-08
0.4926771.8042529.197170e-08
0.4950081.8036038.868090e-08
0.4973511.8029618.537452e-08
0.4997051.8023288.205250e-08
0.51.802258.163600e-08
0.502071.8017037.986243e-08
0.5044461.8010867.782640e-08
0.5068331.8004777.578074e-08
0.5092321.7998757.372540e-08
0.5116421.7992817.166032e-08
0.5140631.7986946.958548e-08
0.5164961.7981146.750081e-08
0.5189411.7975426.540628e-08
0.5213971.7969776.330184e-08
0.5238641.7964186.118744e-08
0.5263441.7958665.906303e-08
0.5288351.7953215.692856e-08
0.5313371.7947835.478400e-08
0.5338521.7942515.262928e-08
0.5363781.7937265.046437e-08
0.5389171.7932064.828921e-08
0.5414681.7926934.610376e-08
0.544031.7921864.390796e-08
0.5461.7918024.222000e-08
0.5466051.7916854.203207e-08
0.5491921.791194.122823e-08
0.5517911.7907014.042059e-08
0.5544021.7902173.960913e-08
0.5570261.7897393.879382e-08
0.5596621.7892673.797466e-08
0.5623111.78883.715161e-08
0.5649721.7883383.632468e-08
0.5676461.7878823.549383e-08
0.5703321.7874313.465905e-08
0.5730321.7869853.382031e-08
0.5757441.7865443.297761e-08
0.5784681.7861083.213092e-08
0.581.7858663.165500e-08
0.5812061.7856773.184203e-08
0.5839571.7852513.226859e-08
0.586721.784833.269717e-08
0.5894971.7844133.312777e-08
0.5922871.7840013.356041e-08
0.595091.7835933.399510e-08
0.5979061.783193.443185e-08
0.6007361.7827923.487066e-08
0.6035791.7823973.531155e-08
0.6064361.7820073.575453e-08
0.6093061.7816223.619960e-08
0.6121891.781243.664678e-08
0.6150871.7808633.709608e-08
0.6179981.7804893.754750e-08
0.621.7802363.785800e-08
0.6209231.780123.791432e-08
0.6238611.7797543.809372e-08
0.6268141.7793933.827397e-08
0.629781.7790353.845508e-08
0.6327611.7786813.863704e-08
0.6357551.7783313.881986e-08
0.6387641.7779843.900355e-08
0.6417871.7776413.918811e-08
0.6448251.7773023.937354e-08
0.6478761.7769663.955984e-08
0.6509421.7766343.974703e-08
0.6540231.7763053.993511e-08
0.6571181.7759794.012408e-08
0.661.7756814.030000e-08
0.6602281.7756574.024929e-08
0.6633531.7753383.955523e-08
0.6664921.7750223.885789e-08
0.6696471.774713.815725e-08
0.6728161.7744013.745329e-08
0.6761.7740943.674600e-08
0.6791991.7737913.603536e-08
0.6824141.7734913.532135e-08
0.6856431.7731943.460397e-08
0.6888881.7728993.388320e-08
0.6921491.7726083.315901e-08
0.6954241.772323.243139e-08
0.6987151.7720343.170034e-08
0.71.7719243.141500e-08
0.7020221.7717513.131450e-08
0.7053451.7714713.114937e-08
0.7086831.7711933.098347e-08
0.7120371.7709193.081677e-08
0.7154071.7706473.064929e-08
0.7187921.7703773.048102e-08
0.7221941.770113.031195e-08
0.7256121.7698463.014208e-08
0.7290461.7695842.997141e-08
0.7324961.7693242.979993e-08
0.7359631.7690672.962764e-08
0.7394461.7688122.945453e-08
0.7429461.768562.928060e-08
0.7464621.768312.910585e-08
0.7499951.7680622.893027e-08
0.7535441.7678172.875386e-08
0.757111.7675742.857662e-08
0.7606931.7673332.839854e-08
0.7642931.7670942.821961e-08
0.7679111.7668572.803984e-08
0.7715451.7666232.785922e-08
0.7751961.766392.767774e-08
0.7788651.766162.749541e-08
0.7825511.7659312.731221e-08
0.7862551.7657052.712814e-08
0.7899761.7654812.694320e-08
0.7937141.7652582.675739e-08
0.7974711.7650382.657070e-08
0.8012451.7648192.638312e-08
0.8050371.7646022.619466e-08
0.8088471.7643872.600531e-08
0.8126751.7641742.581505e-08
0.8165211.7639632.562390e-08
0.8203851.7637532.543185e-08
0.8242681.7635462.523888e-08
0.8281691.7633392.504500e-08
0.8320881.7631352.485021e-08
0.8360261.7629322.465449e-08
0.8399831.7627312.445784e-08
0.8439581.7625322.426027e-08
0.8479531.7623342.406176e-08
0.8519661.7621382.386231e-08
0.8559981.7619432.366192e-08
0.8600491.761752.346057e-08
0.8641191.7615582.325828e-08
0.8682091.7613682.305503e-08
0.8723181.7611792.285081e-08
0.8764461.7609922.264563e-08
0.8805941.7608062.243948e-08
0.8847611.7606212.223236e-08
0.8889491.7604382.202425e-08
0.8931561.7602562.181516e-08
0.8973831.7600762.160507e-08
0.901631.7598972.139400e-08
0.9058971.7597192.118192e-08
0.9101841.7595432.096884e-08
0.9144921.7593672.075476e-08
0.918821.7591932.053966e-08
0.9231681.7590212.032354e-08
0.9275371.7588492.010640e-08
0.9319271.7586791.988823e-08
0.9363371.7585091.966903e-08
0.9407691.7583411.944879e-08
0.9452211.7581741.922751e-08
0.9496951.7580081.900518e-08
0.9541891.7578441.878180e-08
0.9587051.757681.855736e-08
0.9632421.7575171.833186e-08
0.9678011.7573561.810529e-08
0.9723811.7571951.787766e-08
0.9769831.7570361.764894e-08
0.9816071.7568771.741914e-08
0.9862521.756721.718825e-08
0.990921.7565631.695627e-08
0.995611.7564071.672320e-08
1.000321.7562531.648902e-08
1.005061.7560991.625373e-08
1.009811.7559461.601733e-08
1.014591.7557941.577980e-08
1.019391.7556421.554116e-08
1.024221.7554921.530139e-08
1.029061.7553421.506048e-08
1.033941.7551941.481843e-08
1.038831.7550461.457523e-08
1.043741.7548991.433089e-08
1.048681.7547521.408538e-08
1.053651.7546071.383872e-08
1.058631.7544621.359089e-08
1.061.7544221.352300e-08
1.063641.7543171.414251e-08
1.068681.7541741.499827e-08
1.073741.7540311.585808e-08
1.078821.7538891.672195e-08
1.083921.7537471.758991e-08
1.089051.7536071.846199e-08
1.094211.7534661.933818e-08
1.099391.7533272.021853e-08
1.104591.7531882.110304e-08
1.109821.7530492.199174e-08
1.115071.7529122.288464e-08
1.120351.7527742.378177e-08
1.125651.7526382.468315e-08
1.130981.7525012.558879e-08
1.136331.7523662.649872e-08
1.141711.7522312.741295e-08
1.147111.7520962.833151e-08
1.152541.7519622.925442e-08
1.157991.7518283.018170e-08
1.163471.7516953.111336e-08
1.168981.7515623.204943e-08
1.174511.7514293.298994e-08
1.180071.7512973.393489e-08
1.185651.7511663.488432e-08
1.191271.7510353.583824e-08
1.19691.7509043.679667e-08
1.202571.7507733.775964e-08
1.208261.7506433.872717e-08
1.213981.7505133.969928e-08
1.219721.7503844.067599e-08
1.22551.7502554.165732e-08
1.23131.7501264.264329e-08
1.237121.7499974.363393e-08
1.242981.7498694.462926e-08
1.248861.7497414.562930e-08
1.254771.7496134.663407e-08
1.260711.7494854.764360e-08
1.266681.7493584.865791e-08
1.272671.7492314.967701e-08
1.278691.7491045.070094e-08
1.284751.7489775.172972e-08
1.290831.748855.276336e-08
1.296931.7487245.380189e-08
1.303071.7485985.484534e-08
1.309241.7484715.589373e-08
1.315441.7483455.694708e-08
1.321661.7482195.800542e-08
1.327921.7480935.906876e-08
1.33421.7479686.013714e-08
1.340521.7478426.121057e-08
1.346861.7477166.228909e-08
1.353231.7475916.337270e-08
1.359641.7474656.446145e-08
1.366071.7473396.555535e-08
1.372541.7472146.665442e-08
1.379031.7470886.775870e-08
1.385561.7469636.886820e-08
1.392121.7468376.998296e-08
1.398711.7467117.110299e-08
1.405331.7465867.222832e-08
1.411981.746467.335897e-08
1.418661.7463347.449498e-08
1.425371.7462087.563636e-08
1.432121.7460827.678315e-08
1.43891.7459567.793536e-08
1.445711.745837.909303e-08
1.452551.7457038.025617e-08
1.459421.7455778.142482e-08
1.466331.745458.259900e-08
1.473271.7453238.377874e-08
1.480241.7451968.496406e-08
1.487251.7450688.615499e-08
1.494291.7449418.735156e-08
1.501361.7448138.855379e-08
1.508461.7446858.976171e-08
1.51561.7445579.097534e-08
1.522771.7444289.219472e-08
1.529981.74439.341987e-08
1.531.7442999.342300e-08
1.537221.744171.027344e-07
1.54451.7440411.121136e-07
1.551811.7439111.215373e-07
1.559151.7437811.310055e-07
1.566531.7436511.405186e-07
1.573941.743521.500767e-07
1.581391.7433891.596800e-07
1.588881.7432581.693287e-07
1.59641.7431261.790232e-07
1.603951.7429941.887635e-07
1.611541.7428611.985499e-07
1.619171.7427282.083826e-07
1.626831.7425942.182619e-07
1.634531.742462.281879e-07
1.642271.7423262.381609e-07
1.650041.7421912.481811e-07
1.657851.7420552.582487e-07
1.66571.7419192.683640e-07
1.673581.7417832.785271e-07
1.68151.7416462.887383e-07
1.689461.7415082.989979e-07
1.697451.741373.093060e-07
1.705491.7412313.196629e-07
1.713561.7410923.300688e-07
1.721671.7409523.405239e-07
1.729811.7408123.510286e-07
1.7381.7406713.615829e-07
1.746231.7405293.721872e-07
1.754491.7403863.828417e-07
1.762791.7402433.935466e-07
1.771141.7400994.043022e-07
1.779521.7399554.151087e-07
1.787941.7398094.259663e-07
1.79641.7396634.368753e-07
1.80491.7395174.478360e-07
1.813451.7393694.588485e-07
1.822031.7392214.699131e-07
1.830651.7390724.810301e-07
1.839321.7389224.921997e-07
1.848021.7387715.034222e-07
1.856771.738625.146977e-07
1.865551.7384675.260267e-07
1.874381.7383145.374092e-07
1.883251.738165.488457e-07
1.892171.7380055.603362e-07
1.901121.7378495.718812e-07
1.910121.7376925.834807e-07
1.919161.7375345.951352e-07
1.928241.7373756.068448e-07
1.937371.7372166.186099e-07
1.946541.7370556.304306e-07
1.955751.7368936.423073e-07
1.9651.736736.542401e-07
1.971.7366426.606800e-07
1.97431.7365666.872774e-07
1.983651.7364017.450115e-07
1.993041.7362358.030188e-07
2.002471.7360688.613006e-07
2.011951.73599.198583e-07
2.021471.7357319.786931e-07
2.031031.735561.037806e-06
2.040651.7353881.097199e-06
2.05031.7352161.156873e-06
2.060011.7350421.216830e-06
2.069761.7348661.277070e-06
2.079551.734691.337596e-06
2.089391.7345121.398407e-06
2.099281.7343331.459507e-06
2.109221.7341531.520896e-06
2.11921.7339711.582575e-06
2.129231.7337881.644546e-06
2.139311.7336041.706811e-06
2.149431.7334181.769370e-06
2.15961.7332311.832225e-06
2.169821.7330421.895378e-06
2.180091.7328521.958829e-06
2.190411.7326612.022581e-06
2.200781.7324682.086635e-06
2.211191.7322742.150992e-06
2.221661.7320782.215653e-06
2.232171.731882.280620e-06
2.242741.7316812.345895e-06
2.253351.7314812.411479e-06
2.264011.7312792.477373e-06
2.274731.7310752.543579e-06
2.285491.7308692.610098e-06
2.296311.7306622.676932e-06
2.307181.7304532.744083e-06
2.31811.7302432.811551e-06
2.3251.730112.854200e-06
2.329071.7300312.885459e-06
2.340091.7298172.970151e-06
2.351171.7296013.055244e-06
2.362291.7293833.140740e-06
2.373471.7291643.226640e-06
2.384711.7289433.312946e-06
2.395991.728723.399661e-06
2.407331.7284953.486787e-06
2.418721.7282683.574325e-06
2.430171.7280393.662277e-06
2.441671.7278083.750645e-06
2.453231.7275753.839432e-06
2.464841.727343.928639e-06
2.47651.7271034.018268e-06
2.488221.7268644.108321e-06
2.51.7266234.198800e-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
—