Optical constants

Refractive index of K-LaFK55(M) (SUMITA)

K-LaFK55(M): 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
1.68874
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.85185
Permittivity ε2
3.16178e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
55.829
Chromatic dispersion dn/dλ
-0.0636678 µm⁻¹
Group index ng
1.72615
Group velocity dispersion
111.929 fs²/mm
Dispersion parameter D
-610.632 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-LaFK55(M) (SUMITA): K-LaFK55(M)
mat = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaFK55(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (360, 1550) nm
eps = mat.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=2.8008078−0.013188685⁢λ2.0+0.01809632⁢λ−2.0+0.00040852782⁢λ−4.0−1.2855113×10-5⁢λ−6.0+1.0513058×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.8008078
C2-0.013188685
C32.0
C40.01809632
C5-2.0
C60.00040852782
C7-4.0
C8-1.2855113e-05
C9-6.0
C101.0513058e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.43e-06 1.08e-08 -8.1e-11 5.36e-07 6.73e-10 0.111
nd
1.68875
Vd
55.8
glass code
694563
density
value: 4340
thermal expansion
value: 7.3e-06, temperature range: 243 343; value: 9.1e-06, temperature range: 293 573
dPgF
-0.0041
resistance
acid: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -5.74e-07 K⁻¹ at 633 nm, dn/dT = -1.13e-06 K⁻¹ at 1310 nm, dn/dT = -1.18e-06 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-LaFK55(M) (SUMITA), K-LaFK55(M): n and k versus wavelength
λ (µm)nk
0.361.7207193.082100e-07
0.361321.7203232.899293e-07
0.3626441.719932.715816e-07
0.3639731.7195412.531666e-07
0.3653081.7191562.346841e-07
0.3666471.7187742.161339e-07
0.3679911.7183961.975156e-07
0.369341.718021.788292e-07
0.371.7178391.696800e-07
0.3706931.7176491.643010e-07
0.3720521.717281.537602e-07
0.3734161.7169151.431808e-07
0.3747851.7165541.325626e-07
0.3761591.7161951.219055e-07
0.3775371.715841.112094e-07
0.3789211.7154871.004740e-07
0.381.7152169.210700e-08
0.380311.7151389.099784e-08
0.3817041.7147928.601612e-08
0.3831041.7144498.101615e-08
0.3845081.7141097.599785e-08
0.3859171.7137727.096115e-08
0.3873321.7134386.590599e-08
0.3887521.7131076.083230e-08
0.391.7128195.637200e-08
0.3901771.7127785.588399e-08
0.3916071.7124535.193739e-08
0.3930431.712134.797632e-08
0.3944831.711814.400074e-08
0.3959291.7114934.001058e-08
0.3973811.7111793.600579e-08
0.3988371.7108673.198633e-08
0.41.7106212.877800e-08
0.4002991.7105582.844748e-08
0.4017671.7102512.682703e-08
0.4032391.7099482.520065e-08
0.4047171.7096462.356830e-08
0.4062011.7093482.192997e-08
0.407691.7090512.028563e-08
0.4091841.7087581.863527e-08
0.4106841.7084671.697886e-08
0.412191.7081781.531637e-08
0.4137011.7078911.364779e-08
0.4152171.7076081.197310e-08
0.4167391.7073261.029226e-08
0.4182671.7070478.605267e-09
0.41981.706776.912087e-09
0.421.7067346.691200e-09
0.4213391.7064956.712527e-09
0.4228831.7062236.737131e-09
0.4244331.7059536.761824e-09
0.4259891.7056856.786608e-09
0.4275511.7054196.811483e-09
0.4291181.7051566.836449e-09
0.4306911.7048956.861507e-09
0.432271.7046356.886656e-09
0.4338541.7043786.911898e-09
0.4354451.7041236.937232e-09
0.4370411.703876.962659e-09
0.4386431.703626.988179e-09
0.441.7034097.009800e-09
0.4402511.7033717.013794e-09
0.4418641.7031247.039510e-09
0.4434841.7028797.065320e-09
0.445111.7026367.091224e-09
0.4467411.7023967.117224e-09
0.4483791.7021577.143319e-09
0.4500231.701927.169509e-09
0.4516721.7016847.195796e-09
0.4533281.7014517.222179e-09
0.454991.701227.248658e-09
0.4566571.700997.275235e-09
0.4583311.7007637.301909e-09
0.461.7005387.328500e-09
0.4600111.7005377.328681e-09
0.4616981.7003137.355543e-09
0.463391.700097.382503e-09
0.4650891.699877.409561e-09
0.4667931.6996517.436719e-09
0.4685051.6994347.463977e-09
0.4702221.6992187.491334e-09
0.4719461.6990047.518792e-09
0.4736751.6987927.546351e-09
0.4754121.6985827.574010e-09
0.4771541.6983737.601771e-09
0.4789041.6981667.629634e-09
0.481.6980377.647100e-09
0.4806591.697967.657598e-09
0.4824211.6977567.685666e-09
0.4841891.6975547.713836e-09
0.4859641.6973537.742109e-09
0.4877461.6971547.770486e-09
0.4895331.6969567.798967e-09
0.4913281.696767.827553e-09
0.4931291.6965657.856243e-09
0.4949361.6963727.885038e-09
0.4967511.696187.913939e-09
0.4985721.6959897.942946e-09
0.51.6958427.965700e-09
0.5003991.6958017.972060e-09
0.5022331.6956138.001284e-09
0.5040741.6954278.030614e-09
0.5059221.6952428.060053e-09
0.5077771.6950598.089599e-09
0.5096381.6948778.119253e-09
0.5115061.6946978.149016e-09
0.5133811.6945188.178889e-09
0.5152631.694348.208870e-09
0.5171521.6941638.238962e-09
0.5190471.6939888.269164e-09
0.520951.6938148.299477e-09
0.522861.6936428.329900e-09
0.5247761.693478.360436e-09
0.52671.69338.391083e-09
0.5286311.6931318.421843e-09
0.5305681.6929648.452715e-09
0.5325131.6927978.483700e-09
0.5344651.6926328.514799e-09
0.5364241.6924688.546013e-09
0.5383911.6923068.577340e-09
0.5403641.6921448.608782e-09
0.5423451.6919848.640340e-09
0.5443331.6918258.672013e-09
0.5463281.6916668.703803e-09
0.5483311.691518.735708e-09
0.551.691388.762300e-09
0.5503411.6913548.767731e-09
0.5523581.6911998.799871e-09
0.5543831.6910458.832130e-09
0.5564151.6908938.864506e-09
0.5584551.6907428.897001e-09
0.5605021.6905918.929615e-09
0.5625561.6904428.962348e-09
0.5646191.6902948.995202e-09
0.5666881.6901479.028176e-09
0.5687651.699.061271e-09
0.570851.6898559.094487e-09
0.5729431.6897119.127825e-09
0.5750431.6895689.161285e-09
0.5771511.6894269.194868e-09
0.5792671.6892859.228574e-09
0.581391.6891459.262404e-09
0.5835211.6890069.296357e-09
0.585661.6888679.330435e-09
0.5878071.688739.364638e-09
0.5899611.6885949.398966e-09
0.5921241.6884589.433420e-09
0.5942951.6883249.468001e-09
0.5964731.688199.502708e-09
0.5986591.6880589.537542e-09
0.61.6879779.558900e-09
0.6008541.6879269.572496e-09
0.6030561.6877959.607564e-09
0.6052671.6876659.642761e-09
0.6074861.6875369.678087e-09
0.6097121.6874089.713542e-09
0.6119471.687289.749127e-09
0.6141911.6871549.784843e-09
0.6164421.6870289.820689e-09
0.6187021.6869039.856667e-09
0.620971.6867799.892777e-09
0.6232461.6866569.929019e-09
0.625531.6865339.965394e-09
0.6278231.6864111.000190e-08
0.6301251.686291.003854e-08
0.6324341.686171.007532e-08
0.6347531.6860511.011223e-08
0.6370791.6859321.014928e-08
0.6394151.6858141.018646e-08
0.6417591.6856971.022378e-08
0.6441111.6855811.026124e-08
0.6464721.6854651.029883e-08
0.6488421.685351.033656e-08
0.651.6852951.035500e-08
0.651221.6852361.037445e-08
0.6536071.6851231.041250e-08
0.6560031.685011.045069e-08
0.6584081.6848981.048902e-08
0.6608211.6847871.052749e-08
0.6632441.6846761.056610e-08
0.6656751.6845661.060486e-08
0.6681151.6844561.064375e-08
0.6705641.6843481.068279e-08
0.6730221.684241.072197e-08
0.6754891.6841321.076130e-08
0.6779651.6840251.080077e-08
0.680451.6839191.084038e-08
0.6829451.6838141.088014e-08
0.6854481.6837091.092004e-08
0.6879611.6836051.096009e-08
0.6904821.6835011.100029e-08
0.6930131.6833981.104063e-08
0.6955541.6832951.108113e-08
0.6981031.6831931.112177e-08
0.71.6831181.115200e-08
0.7006621.6830921.120482e-08
0.7032311.6829911.140965e-08
0.7058091.6828911.161523e-08
0.7083961.6827921.182156e-08
0.7109921.6826931.202865e-08
0.7135991.6825941.223649e-08
0.7162141.6824961.244510e-08
0.718841.6823991.265447e-08
0.7214751.6823021.286462e-08
0.7241191.6822051.307553e-08
0.7267741.682111.328721e-08
0.7294381.6820141.349967e-08
0.7321121.6819191.371291e-08
0.7347951.6818251.392693e-08
0.7374891.6817311.414173e-08
0.7401921.6816381.435733e-08
0.7429051.6815451.457371e-08
0.7456291.6814531.479088e-08
0.7483621.6813611.500886e-08
0.7511051.6812691.522763e-08
0.7538581.6811781.544720e-08
0.7566221.6810881.566758e-08
0.7593951.6809981.588876e-08
0.7621791.6809081.611076e-08
0.7649731.6808191.633357e-08
0.7677771.680731.655719e-08
0.7705911.6806421.678164e-08
0.7734161.6805541.700691e-08
0.7762511.6804661.723300e-08
0.7790961.6803791.745993e-08
0.7819521.6802931.768768e-08
0.7848181.6802061.791627e-08
0.7876951.6801211.814570e-08
0.7905831.6800351.837597e-08
0.7934811.679951.860708e-08
0.7963891.6798651.883904e-08
0.7993091.6797811.907185e-08
0.81.6797611.912700e-08
0.8022381.6796971.932635e-08
0.8051791.6796131.958825e-08
0.8081311.679531.985110e-08
0.8110931.6794472.011491e-08
0.8140661.6793652.037969e-08
0.817051.6792832.064545e-08
0.8200451.6792012.091217e-08
0.8230511.6791192.117988e-08
0.8260681.6790382.144857e-08
0.8290961.6789572.171824e-08
0.8321351.6788772.198890e-08
0.8351861.6787962.226055e-08
0.8382471.6787172.253319e-08
0.841321.6786372.280684e-08
0.8444041.6785582.308149e-08
0.8474991.6784792.335715e-08
0.8506061.67842.363381e-08
0.8537241.6783222.391150e-08
0.8568531.6782442.419019e-08
0.8599941.6781662.446992e-08
0.8631461.6780882.475066e-08
0.866311.6780112.503244e-08
0.8694861.6779342.531524e-08
0.8726731.6778572.559909e-08
0.8758721.6777812.588397e-08
0.8790821.6777042.616990e-08
0.8823051.6776282.645688e-08
0.8855391.6775532.674491e-08
0.8887851.6774772.703400e-08
0.8920431.6774022.732414e-08
0.8953131.6773272.761535e-08
0.8985951.6772522.790763e-08
0.9018891.6771772.820097e-08
0.9051951.6771032.849540e-08
0.9085131.6770292.879090e-08
0.9118431.6769552.908748e-08
0.9151861.6768812.938515e-08
0.918541.6768072.968392e-08
0.9219071.6767342.998378e-08
0.9252871.6766613.028473e-08
0.9286781.6765883.058680e-08
0.9320831.6765153.088996e-08
0.9354991.6764423.119424e-08
0.9389281.676373.149964e-08
0.942371.6762983.180615e-08
0.9458241.6762263.211379e-08
0.9492911.6761543.242256e-08
0.9527711.6760823.273245e-08
0.9562641.676013.304349e-08
0.9597691.6759393.335566e-08
0.9632871.6758673.366898e-08
0.9668181.6757963.398344e-08
0.9703621.6757253.429906e-08
0.9739191.6756543.461584e-08
0.9774891.6755833.493378e-08
0.9810721.6755133.525288e-08
0.9846681.6754423.557315e-08
0.9882781.6753723.589460e-08
0.9919011.6753013.621722e-08
0.9955361.6752313.654103e-08
0.9991861.6751613.686602e-08
1.002851.6750913.719221e-08
1.006521.6750213.751959e-08
1.010211.6749513.784817e-08
1.013921.6748823.817795e-08
1.017631.6748123.850895e-08
1.021361.6747423.884116e-08
1.025111.6746733.917458e-08
1.028871.6746033.950923e-08
1.032641.6745343.984510e-08
1.036421.6744654.018221e-08
1.040221.6743964.052055e-08
1.044031.6743264.086013e-08
1.047861.6742574.120096e-08
1.05171.6741884.154303e-08
1.055561.6741194.188636e-08
1.059431.674054.223095e-08
1.061.674044.228200e-08
1.063311.6739814.268521e-08
1.067211.6739124.315998e-08
1.071121.6738434.363648e-08
1.075051.6737754.411473e-08
1.078991.6737064.459474e-08
1.082941.6736374.507650e-08
1.086911.6735684.556003e-08
1.09091.6734994.604533e-08
1.094891.6734314.653242e-08
1.098911.6733624.702128e-08
1.102941.6732934.751194e-08
1.106981.6732244.800440e-08
1.111041.6731564.849866e-08
1.115111.6730874.899474e-08
1.11921.6730184.949263e-08
1.12331.6729494.999235e-08
1.127421.672885.049390e-08
1.131551.6728115.099729e-08
1.13571.6727425.150252e-08
1.139861.6726735.200961e-08
1.144041.6726045.251855e-08
1.148231.6725355.302936e-08
1.152441.6724665.354204e-08
1.156671.6723975.405660e-08
1.160911.6723285.457305e-08
1.165161.6722595.509139e-08
1.169431.6721895.561163e-08
1.173721.672125.613378e-08
1.178021.6720515.665784e-08
1.182341.6719815.718383e-08
1.186671.6719115.771174e-08
1.191021.6718425.824158e-08
1.195391.6717725.877337e-08
1.199771.6717025.930711e-08
1.204171.6716325.984280e-08
1.208581.6715626.038046e-08
1.213011.6714926.092009e-08
1.217461.6714226.146170e-08
1.221921.6713516.200529e-08
1.22641.6712816.255087e-08
1.23091.671216.309846e-08
1.235411.671146.364805e-08
1.239941.6710696.419966e-08
1.244481.6709986.475328e-08
1.249041.6709276.530894e-08
1.253621.6708556.586664e-08
1.258221.6707846.642638e-08
1.262831.6707136.698817e-08
1.267461.6706416.755202e-08
1.272111.6705696.811793e-08
1.276771.6704976.868592e-08
1.281451.6704256.925600e-08
1.286151.6703536.982816e-08
1.290861.670287.040242e-08
1.295591.6702077.097879e-08
1.300341.6701357.155726e-08
1.305111.6700627.213786e-08
1.309891.6699887.272059e-08
1.314691.6699157.330545e-08
1.319511.6698427.389246e-08
1.324351.6697687.448162e-08
1.32921.6696947.507294e-08
1.334081.669627.566642e-08
1.338971.6695457.626208e-08
1.343881.6694717.685993e-08
1.34881.6693967.745996e-08
1.353751.6693217.806220e-08
1.358711.6692467.866664e-08
1.363691.669177.927330e-08
1.368691.6690947.988218e-08
1.37371.6690188.049330e-08
1.378741.6689428.110665e-08
1.383791.6688668.172226e-08
1.388871.6687898.234011e-08
1.393961.6687128.296024e-08
1.399071.6686358.358264e-08
1.40421.6685578.420732e-08
1.409341.668488.483428e-08
1.414511.6684028.546355e-08
1.419691.6683238.609512e-08
1.42491.6682458.672901e-08
1.430121.6681668.736523e-08
1.435361.6680878.800377e-08
1.440621.6680078.864466e-08
1.445911.6679288.928789e-08
1.451211.6678488.993348e-08
1.456521.6677679.058144e-08
1.461861.6676879.123177e-08
1.467221.6676069.188449e-08
1.47261.6675259.253960e-08
1.4781.6674439.319711e-08
1.483421.6673619.385704e-08
1.488851.6672799.451938e-08
1.494311.6671969.518415e-08
1.499791.6671139.585135e-08
1.51.667119.587700e-08
1.505291.667031.005105e-07
1.51081.6669461.053462e-07
1.516341.6668621.101997e-07
1.52191.6667781.150709e-07
1.527481.6666931.199600e-07
1.533081.6666081.248671e-07
1.53871.6665231.297921e-07
1.544341.6664371.347351e-07
1.551.6663511.396963e-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
—