Optical constants

Refractive index of K-LaSFn9 (SUMITA)

K-LaSFn9: n,k 0.36–1.55 µm

Data
formula 3 + tabulated k
Range
0.36–1.55 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.36–1.55 µm
Refractive index n
1.816
Extinction coefficient k
4.55649e-08
Permittivity ε1
3.29786
Permittivity ε2
1.65492e-07
Absorption coefficient α
0.00974448 cm⁻¹
Penetration depth δ = λ/(2πk)
2.05244e+09 nm
Abbe number Vd
46.669
Chromatic dispersion dn/dλ
-0.0897291 µm⁻¹
Group index ng
1.86873
Group velocity dispersion
164.331 fs²/mm
Dispersion parameter D
-896.515 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

# K-LaSFn9 (SUMITA): K-LaSFn9
sumita_k_lasfn9 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaSFn9", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lasfn9.range_nm)  # (360, 1550) nm
eps = sumita_k_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

Polynomial (formula 3), λ in µm
n2=3.2184433−0.014906369⁢λ2.0+0.02692619⁢λ−2.0+0.00087409748⁢λ−4.0−4.0331281×10-5⁢λ−6.0+3.1677745×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C13.2184433
C2-0.014906369
C32.0
C40.02692619
C5-2.0
C60.00087409748
C7-4.0
C8-4.0331281e-05
C9-6.0
C103.1677745e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.34e-06 2.13e-08 -1.52e-10 5.8e-07 6.95e-10 0.204
nd
1.81600
Vd
46.7
glass code
816467
density
value: 4960
thermal expansion
value: 6.3e-06, temperature range: 243 343; value: 7.6e-06, temperature range: 293 573
dPgF
-0.0086
resistance
acid: 3.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.86e-06 K⁻¹ at 633 nm, dn/dT = 1.04e-06 K⁻¹ at 1310 nm, dn/dT = 9.73e-07 K⁻¹ at 1550 nm

References

Cite

SUMITA Zemax catalog 2017-02-02 (obtained from http://www.sumita-opt.co.jp); See also SUMITA optical glass data book; 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
K-LaSFn9 (SUMITA), K-LaSFn9: n and k versus wavelength
λ (µm)nk
0.361.862539.650700e-07
0.361321.8619379.152992e-07
0.3626441.8613518.653459e-07
0.3639731.860778.152095e-07
0.3653081.8601957.648893e-07
0.3666471.8596257.143847e-07
0.3679911.8590616.636950e-07
0.369341.8585036.128194e-07
0.371.8582325.879100e-07
0.3706931.857955.732347e-07
0.3720521.8574025.444766e-07
0.3734161.856865.156132e-07
0.3747851.8563224.866439e-07
0.3761591.855794.575684e-07
0.3775371.8552634.283864e-07
0.3789211.8547413.990974e-07
0.381.8543393.762700e-07
0.380311.8542243.723095e-07
0.3817041.8537113.545211e-07
0.3831041.8532043.366676e-07
0.3845081.8527013.187486e-07
0.3859171.8522033.007639e-07
0.3873321.851712.827133e-07
0.3887521.8512212.645965e-07
0.391.8507962.486700e-07
0.3901771.8507362.473377e-07
0.3916071.8502562.365638e-07
0.3930431.8497812.257503e-07
0.3944831.849312.148972e-07
0.3959291.8488432.040043e-07
0.3973811.848381.930715e-07
0.3988371.8479221.820985e-07
0.41.847561.733400e-07
0.4002991.8474681.723727e-07
0.4017671.8470171.676302e-07
0.4032391.8465711.628704e-07
0.4047171.8461291.580931e-07
0.4062011.8456911.532983e-07
0.407691.8452571.484859e-07
0.4091841.8448271.436559e-07
0.4106841.84441.388082e-07
0.412191.8439771.339427e-07
0.4137011.8435581.290594e-07
0.4152171.8431431.241582e-07
0.4167391.8427311.192390e-07
0.4182671.8423231.143018e-07
0.41981.8419191.093465e-07
0.421.8418661.087000e-07
0.4213391.8415181.068774e-07
0.4228831.841121.047749e-07
0.4244331.8407261.026646e-07
0.4259891.8403361.005466e-07
0.4275511.8399489.842082e-08
0.4291181.8395649.628727e-08
0.4306911.8391849.414589e-08
0.432271.8388079.199666e-08
0.4338541.8384338.983956e-08
0.4354451.8380628.767454e-08
0.4370411.8376948.550160e-08
0.4386431.8373298.332068e-08
0.441.8370248.147300e-08
0.4402511.8369688.133197e-08
0.4418641.8366098.042397e-08
0.4434841.8362547.951264e-08
0.445111.8359027.859798e-08
0.4467411.8355527.767996e-08
0.4483791.8352067.675857e-08
0.4500231.8348627.583381e-08
0.4516721.8345227.490566e-08
0.4533281.8341847.397410e-08
0.454991.8338497.303913e-08
0.4566571.8335167.210073e-08
0.4583311.8331877.115890e-08
0.461.8328627.022000e-08
0.4600111.832867.021952e-08
0.4616981.8325367.014879e-08
0.463391.8322157.007779e-08
0.4650891.8318967.000653e-08
0.4667931.831586.993502e-08
0.4685051.8312676.986324e-08
0.4702221.8309566.979119e-08
0.4719461.8306476.971889e-08
0.4736751.8303426.964631e-08
0.4754121.8300386.957347e-08
0.4771541.8297376.950037e-08
0.4789041.8294396.942700e-08
0.481.8292546.938100e-08
0.4806591.8291436.907633e-08
0.4824211.8288496.826180e-08
0.4841891.8285586.744428e-08
0.4859641.8282696.662377e-08
0.4877461.8279836.580025e-08
0.4895331.8276986.497371e-08
0.4913281.8274166.414414e-08
0.4931291.8271376.331153e-08
0.4949361.8268596.247586e-08
0.4967511.8265846.163714e-08
0.4985721.8263116.079534e-08
0.51.8260996.013500e-08
0.5003991.826046.007675e-08
0.5022331.8257715.980909e-08
0.5040741.8255045.954045e-08
0.5059221.825245.927083e-08
0.5077771.8249785.900022e-08
0.5096381.8247175.872862e-08
0.5115061.8244595.845602e-08
0.5133811.8242035.818242e-08
0.5152631.8239485.790782e-08
0.5171521.8236965.763221e-08
0.5190471.8234465.735560e-08
0.520951.8231975.707796e-08
0.522861.8229515.679932e-08
0.5247761.8227065.651964e-08
0.52671.8224645.623895e-08
0.5286311.8222235.595722e-08
0.5305681.8219845.567447e-08
0.5325131.8217475.539067e-08
0.5344651.8215125.510584e-08
0.5364241.8212785.481996e-08
0.5383911.8210475.453303e-08
0.5403641.8208175.424506e-08
0.5423451.8205895.395602e-08
0.5443331.8203625.366593e-08
0.5463281.8201385.337477e-08
0.5483311.8199155.308255e-08
0.551.8197315.283900e-08
0.5503411.8196935.277305e-08
0.5523581.8194745.238277e-08
0.5543831.8192565.199107e-08
0.5564151.819045.159793e-08
0.5584551.8188255.120335e-08
0.5605021.8186125.080732e-08
0.5625561.81845.040984e-08
0.5646191.818195.001090e-08
0.5666881.8179824.961050e-08
0.5687651.8177754.920864e-08
0.570851.817574.880530e-08
0.5729431.8173664.840048e-08
0.5750431.8171644.799418e-08
0.5771511.8169634.758639e-08
0.5792671.8167644.717710e-08
0.581391.8165664.676631e-08
0.5835211.816374.635402e-08
0.585661.8161754.594022e-08
0.5878071.8159824.552489e-08
0.5899611.815794.510805e-08
0.5921241.8155994.468968e-08
0.5942951.815414.426978e-08
0.5964731.8152224.384833e-08
0.5986591.8150354.342534e-08
0.61.8149224.316600e-08
0.6008541.814854.287161e-08
0.6030561.8146664.211228e-08
0.6052671.8144834.135016e-08
0.6074861.8143024.058525e-08
0.6097121.8141223.981753e-08
0.6119471.8139433.904700e-08
0.6141911.8137663.827365e-08
0.6164421.813593.749746e-08
0.6187021.8134153.671843e-08
0.620971.8132413.593654e-08
0.6232461.8130683.515179e-08
0.625531.8128973.436416e-08
0.6278231.8127273.357364e-08
0.6301251.8125583.278022e-08
0.6324341.812393.198390e-08
0.6347531.8122243.118465e-08
0.6370791.8120583.038248e-08
0.6394151.8118942.957737e-08
0.6417591.8117312.876930e-08
0.6441111.8115692.795827e-08
0.6464721.8114082.714427e-08
0.6488421.8112482.632729e-08
0.651.811172.592800e-08
0.651221.8110892.570367e-08
0.6536071.8109312.526482e-08
0.6560031.8107742.482437e-08
0.6584081.8106192.438229e-08
0.6608211.8104642.393860e-08
0.6632441.8103112.349328e-08
0.6656751.8101582.304633e-08
0.6681151.8100072.259774e-08
0.6705641.8098562.214751e-08
0.6730221.8097072.169562e-08
0.6754891.8095582.124208e-08
0.6779651.809412.078688e-08
0.680451.8092642.033001e-08
0.6829451.8091181.987146e-08
0.6854481.8089731.941124e-08
0.6879611.808831.894932e-08
0.6904821.8086871.848571e-08
0.6930131.8085451.802041e-08
0.6955541.8084041.755339e-08
0.6981031.8082641.708467e-08
0.71.808161.673600e-08
0.7006621.8081241.670956e-08
0.7032311.8079861.660706e-08
0.7058091.8078481.650418e-08
0.7083961.8077121.640093e-08
0.7109921.8075761.629729e-08
0.7135991.8074411.619328e-08
0.7162141.8073071.608888e-08
0.718841.8071731.598410e-08
0.7214751.8070411.587894e-08
0.7241191.8069091.577339e-08
0.7267741.8067781.566746e-08
0.7294381.8066481.556113e-08
0.7321121.8065191.545442e-08
0.7347951.806391.534732e-08
0.7374891.8062621.523982e-08
0.7401921.8061351.513193e-08
0.7429051.8060091.502364e-08
0.7456291.8058831.491496e-08
0.7483621.8057581.480588e-08
0.7511051.8056341.469640e-08
0.7538581.8055111.458652e-08
0.7566221.8053881.447623e-08
0.7593951.8052661.436554e-08
0.7621791.8051451.425445e-08
0.7649731.8050241.414294e-08
0.7677771.8049041.403103e-08
0.7705911.8047851.391871e-08
0.7734161.8046661.380598e-08
0.7762511.8045481.369283e-08
0.7790961.8044311.357927e-08
0.7819521.8043141.346529e-08
0.7848181.8041981.335089e-08
0.7876951.8040831.323608e-08
0.7905831.8039681.312084e-08
0.7934811.8038541.300519e-08
0.7963891.803741.288910e-08
0.7993091.8036271.277260e-08
0.81.80361.274500e-08
0.8022381.8035151.336516e-08
0.8051791.8034031.417987e-08
0.8081311.8032911.499757e-08
0.8110931.8031811.581826e-08
0.8140661.8030711.664196e-08
0.817051.8029611.746868e-08
0.8200451.8028521.829843e-08
0.8230511.8027441.913122e-08
0.8260681.8026361.996707e-08
0.8290961.8025282.080598e-08
0.8321351.8024212.164796e-08
0.8351861.8023152.249303e-08
0.8382471.8022092.334120e-08
0.841321.8021032.419248e-08
0.8444041.8019992.504687e-08
0.8474991.8018942.590440e-08
0.8506061.801792.676508e-08
0.8537241.8016872.762890e-08
0.8568531.8015842.849590e-08
0.8599941.8014812.936607e-08
0.8631461.8013793.023943e-08
0.866311.8012783.111600e-08
0.8694861.8011763.199577e-08
0.8726731.8010763.287877e-08
0.8758721.8009753.376501e-08
0.8790821.8008753.465450e-08
0.8823051.8007763.554725e-08
0.8855391.8006773.644327e-08
0.8887851.8005783.734257e-08
0.8920431.800483.824517e-08
0.8953131.8003823.915108e-08
0.8985951.8002854.006031e-08
0.9018891.8001874.097287e-08
0.9051951.8000914.188878e-08
0.9085131.7999944.280805e-08
0.9118431.7998984.373068e-08
0.9151861.7998034.465670e-08
0.918541.7997084.558611e-08
0.9219071.7996134.651893e-08
0.9252871.7995184.745517e-08
0.9286781.7994244.839484e-08
0.9320831.799334.933795e-08
0.9354991.7992365.028452e-08
0.9389281.7991435.123456e-08
0.942371.799055.218809e-08
0.9458241.7989585.314511e-08
0.9492911.7988655.410563e-08
0.9527711.7987735.506968e-08
0.9562641.7986815.603726e-08
0.9597691.798595.700839e-08
0.9632871.7984995.798308e-08
0.9668181.7984085.896134e-08
0.9703621.7983175.994319e-08
0.9739191.7982276.092863e-08
0.9774891.7981376.191769e-08
0.9810721.7980476.291037e-08
0.9846681.7979576.390670e-08
0.9882781.7978686.490667e-08
0.9919011.7977796.591031e-08
0.9955361.797696.691763e-08
0.9991861.7976016.792864e-08
1.002851.7975136.894336e-08
1.006521.7974256.996180e-08
1.010211.7973377.098397e-08
1.013921.7972497.200988e-08
1.017631.7971617.303956e-08
1.021361.7970747.407301e-08
1.025111.7969877.511025e-08
1.028871.79697.615130e-08
1.032641.7968137.719616e-08
1.036421.7967267.824484e-08
1.040221.796647.929738e-08
1.044031.7965548.035377e-08
1.047861.7964678.141403e-08
1.05171.7963818.247818e-08
1.055561.7962968.354623e-08
1.059431.796218.461820e-08
1.061.7961978.477700e-08
1.063311.7961248.504177e-08
1.067211.7960398.535352e-08
1.071121.7959548.566642e-08
1.075051.7958698.598046e-08
1.078991.7957848.629565e-08
1.082941.7956998.661200e-08
1.086911.7956148.692951e-08
1.09091.7955298.724818e-08
1.094891.7954458.756802e-08
1.098911.795368.788904e-08
1.102941.7952768.821123e-08
1.106981.7951918.853460e-08
1.111041.7951078.885915e-08
1.115111.7950238.918490e-08
1.11921.7949398.951184e-08
1.12331.7948558.983998e-08
1.127421.7947719.016932e-08
1.131551.7946879.049987e-08
1.13571.7946039.083163e-08
1.139861.7945199.116460e-08
1.144041.7944369.149880e-08
1.148231.7943529.183422e-08
1.152441.7942689.217087e-08
1.156671.7941859.250876e-08
1.160911.7941019.284788e-08
1.165161.7940189.318825e-08
1.169431.7939349.352986e-08
1.173721.793859.387273e-08
1.178021.7937679.421686e-08
1.182341.7936839.456224e-08
1.186671.79369.490889e-08
1.191021.7935169.525681e-08
1.195391.7934339.560601e-08
1.199771.7933499.595649e-08
1.204171.7932669.630825e-08
1.208581.7931829.666130e-08
1.213011.7930989.701565e-08
1.217461.7930159.737129e-08
1.221921.7929319.772824e-08
1.22641.7928479.808650e-08
1.23091.7927639.844607e-08
1.235411.7926799.880695e-08
1.239941.7925959.916917e-08
1.244481.7925119.953270e-08
1.249041.7924279.989757e-08
1.253621.7923431.002638e-07
1.258221.7922591.006313e-07
1.262831.7921751.010002e-07
1.267461.792091.013705e-07
1.272111.7920061.017421e-07
1.276771.7919211.021151e-07
1.281451.7918371.024894e-07
1.286151.7917521.028651e-07
1.290861.7916671.032422e-07
1.295591.7915821.036207e-07
1.300341.7914971.040005e-07
1.305111.7914111.043818e-07
1.309891.7913261.047644e-07
1.314691.791241.051485e-07
1.319511.7911551.055339e-07
1.324351.7910691.059208e-07
1.32921.7909831.063091e-07
1.334081.7908971.066988e-07
1.338971.7908111.070899e-07
1.343881.7907241.074825e-07
1.34881.7906381.078765e-07
1.353751.7905511.082720e-07
1.358711.7904641.086689e-07
1.363691.7903771.090672e-07
1.368691.7902891.094671e-07
1.37371.7902021.098683e-07
1.378741.7901141.102711e-07
1.383791.7900261.106753e-07
1.388871.7899381.110810e-07
1.393961.789851.114882e-07
1.399071.7897611.118969e-07
1.40421.7896721.123071e-07
1.409341.7895831.127188e-07
1.414511.7894941.131320e-07
1.419691.7894051.135468e-07
1.42491.7893151.139630e-07
1.430121.7892251.143808e-07
1.435361.7891351.148001e-07
1.440621.7890441.152209e-07
1.445911.7889531.156433e-07
1.451211.7888621.160672e-07
1.456521.7887711.164927e-07
1.461861.788681.169197e-07
1.467221.7885881.173483e-07
1.47261.7884961.177785e-07
1.4781.7884031.182103e-07
1.483421.7883111.186436e-07
1.488851.7882181.190785e-07
1.494311.7881241.195150e-07
1.499791.7880311.199532e-07
1.51.7880271.199700e-07
1.505291.7879371.253962e-07
1.51081.7878421.310593e-07
1.516341.7877481.367431e-07
1.52191.7876531.424477e-07
1.527481.7875571.481732e-07
1.533081.7874621.539197e-07
1.53871.7873661.596873e-07
1.544341.787271.654761e-07
1.551.7871731.712860e-07

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
—