Optical constants

Refractive index of K-PSFn214(M) (SUMITA)

K-PSFn214(M): n,k 0.4–1.55 µm

Data
formula 3 + tabulated k
Range
0.4–1.55 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 405-2000 nm only; k = 0 elsewhere in the n range 400-1550 nm.

At one wavelength

Range 0.4–1.55 µm
Refractive index n
2.13912
Extinction coefficient k
3.84625e-08
Permittivity ε1
4.57582
Permittivity ε2
1.64552e-07
Absorption coefficient α
0.00822557 cm⁻¹
Penetration depth δ = λ/(2πk)
2.43144e+09 nm
Abbe number Vd
17.741
Chromatic dispersion dn/dλ
-0.315975 µm⁻¹
Group index ng
2.32478
Group velocity dispersion
695.38 fs²/mm
Dispersion parameter D
-3793.67 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-PSFn214(M) (SUMITA): K-PSFn214(M)
mat = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PSFn214(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (400, 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=4.2564848−0.015091057⁢λ2.0+0.086600358⁢λ−2.0+0.011001775⁢λ−4.0−0.0012680564⁢λ−6.0+0.00017404024⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C14.2564848
C2-0.015091057
C32.0
C40.086600358
C5-2.0
C60.011001775
C7-4.0
C8-0.0012680564
C9-6.0
C100.00017404024
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.6e-05 2.83e-08 -1.6e-10 3.11e-06 2.04e-09 0.316
nd
2.13909
Vd
17.7
glass code
144178
density
value: 7060
thermal expansion
value: 8.3e-06, temperature range: 243 343; value: 9.8e-06, temperature range: 293 573
dPgF
0.0457
resistance
acid: 3.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.18e-05 K⁻¹ at 633 nm, dn/dT = 1.42e-05 K⁻¹ at 1310 nm, dn/dT = 1.37e-05 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 405-2000 nm only; k = 0 elsewhere in the n range 400-1550 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 413 wavelengths, the same grid as the API and the library
K-PSFn214(M) (SUMITA), K-PSFn214(M): n and k versus wavelength
λ (µm)nk
0.42.2761940
0.401362.273920
0.4027252.271680
0.4040952.2694740
0.4052.2680382.648300e-05
0.4054692.2673022.586410e-05
0.4068482.2651612.404381e-05
0.4082312.2630532.221733e-05
0.4096192.2609762.038465e-05
0.4110122.2589291.854572e-05
0.412412.2569121.670055e-05
0.4138132.2549241.484910e-05
0.415222.2529651.299136e-05
0.4166322.2510341.112729e-05
0.4180492.249139.256891e-06
0.419472.2472547.380129e-06
0.422.2465636.680700e-06
0.4208972.2454046.448674e-06
0.4223282.2435796.078294e-06
0.4237642.241785.706654e-06
0.4252052.2400065.333751e-06
0.4266512.2382564.959580e-06
0.4281022.2365294.584136e-06
0.4295582.2348274.207415e-06
0.4310192.2331473.829413e-06
0.4324842.2314893.450126e-06
0.4339552.2298543.069549e-06
0.4354312.228242.687678e-06
0.4369122.2266472.304509e-06
0.4383972.2250751.920036e-06
0.4398882.2235241.534256e-06
0.442.2234081.505300e-06
0.4413842.2219921.439128e-06
0.4428852.220481.367362e-06
0.4443912.2189881.295353e-06
0.4459022.2175141.223098e-06
0.4474192.2160581.150598e-06
0.448942.2146211.077851e-06
0.4504672.2132021.004857e-06
0.4519992.21189.316145e-07
0.4535362.2104168.581231e-07
0.4550782.2090487.843818e-07
0.4566262.2076977.103896e-07
0.4581782.2063626.361459e-07
0.4597362.2050445.616497e-07
0.462.2048235.490500e-07
0.46132.2037415.309286e-07
0.4628692.2024535.090592e-07
0.4644432.2011814.871155e-07
0.4660222.1999234.650972e-07
0.4676072.198684.430040e-07
0.4691972.1974524.208357e-07
0.4707922.1962383.985920e-07
0.4723932.1950373.762726e-07
0.4742.193853.538774e-07
0.4756122.1926773.314060e-07
0.4772292.1915173.088582e-07
0.4788522.190372.862336e-07
0.482.1895692.702300e-07
0.480482.1892362.672626e-07
0.4821142.1881142.571706e-07
0.4837542.1870052.470443e-07
0.4853992.1859082.368836e-07
0.487052.1848232.266883e-07
0.4887062.1837492.164583e-07
0.4903682.1826882.061936e-07
0.4920352.1816371.958939e-07
0.4937092.1805981.855593e-07
0.4953872.179571.751894e-07
0.4970722.1785531.647843e-07
0.4987622.1775471.543439e-07
0.52.1768191.467000e-07
0.5004592.1765511.458909e-07
0.502162.1755661.428879e-07
0.5038682.174591.398747e-07
0.5055822.1736251.368513e-07
0.5073012.172671.338176e-07
0.5090262.1717251.307735e-07
0.5107572.1707891.277191e-07
0.5124942.1698631.246544e-07
0.5142372.1689461.215792e-07
0.5159852.1680391.184935e-07
0.517742.167141.153974e-07
0.5195012.1662511.122907e-07
0.5212672.165371.091734e-07
0.523042.1644981.060456e-07
0.5248192.1636351.029071e-07
0.5266032.162789.975796e-08
0.5283942.1619339.659809e-08
0.5301912.1610959.342748e-08
0.5319942.1602659.024609e-08
0.5338032.1594438.705388e-08
0.5356182.1586298.385082e-08
0.537442.1578228.063686e-08
0.5392672.1570247.741197e-08
0.5411012.1562337.417612e-08
0.5429412.1554497.092926e-08
0.5447882.1546736.767136e-08
0.546642.1539046.440239e-08
0.5484992.1531436.112229e-08
0.552.1525355.847400e-08
0.5503642.1523885.828007e-08
0.5522362.1516415.728398e-08
0.5541142.15095.628450e-08
0.5559982.1501675.528162e-08
0.5578892.149445.427533e-08
0.5597862.148725.326562e-08
0.561692.1480065.225247e-08
0.56362.1472995.123588e-08
0.5655162.1465985.021584e-08
0.567442.1459044.919232e-08
0.5693692.1452164.816532e-08
0.5713052.1445344.713484e-08
0.5732482.1438594.610084e-08
0.5751982.1431894.506333e-08
0.5771542.1425254.402230e-08
0.5791162.1418684.297772e-08
0.5810862.1412164.192959e-08
0.5830622.140574.087789e-08
0.5850442.139933.982262e-08
0.5870342.1392953.876376e-08
0.589032.1386663.770130e-08
0.5910332.1380423.663523e-08
0.5930432.1374243.556553e-08
0.595062.1368113.449220e-08
0.5970842.1362043.341521e-08
0.5991142.1356023.233456e-08
0.62.1353413.186300e-08
0.6011512.1350053.192414e-08
0.6031962.1344133.203269e-08
0.6052472.1338263.214161e-08
0.6073052.1332453.225090e-08
0.609372.1326683.236056e-08
0.6114432.1320963.247060e-08
0.6135222.1315293.258101e-08
0.6156082.1309673.269179e-08
0.6177022.130413.280296e-08
0.6198022.1298573.291450e-08
0.621912.129313.302642e-08
0.6240252.1287663.313872e-08
0.6261472.1282283.325140e-08
0.6282762.1276933.336446e-08
0.6304132.1271643.347791e-08
0.6325562.1266383.359175e-08
0.6347082.1261173.370597e-08
0.6368662.1256013.382058e-08
0.6390322.1250893.393558e-08
0.6412052.1245813.405097e-08
0.6433852.1240773.416676e-08
0.6455732.1235773.428294e-08
0.6477692.1230813.439951e-08
0.6499712.122593.451648e-08
0.652.1225843.451800e-08
0.6521822.1221023.463385e-08
0.6543992.1216193.475161e-08
0.6566252.1211393.486978e-08
0.6588582.1206643.498835e-08
0.6610982.1201923.510732e-08
0.6633462.1197243.522670e-08
0.6656022.119263.534648e-08
0.6678662.1187993.546667e-08
0.6701372.1183433.558727e-08
0.6724162.117893.570828e-08
0.6747022.117443.582970e-08
0.6769972.1169943.595153e-08
0.6792992.1165523.607378e-08
0.6816092.1161133.619644e-08
0.6839272.1156783.631952e-08
0.6862532.1152473.644302e-08
0.6885862.1148183.656694e-08
0.6909282.1143933.669128e-08
0.6932782.1139723.681604e-08
0.6956352.1135533.694123e-08
0.6980012.1131393.706684e-08
0.72.1127923.717300e-08
0.7003742.1127273.719288e-08
0.7027562.1123183.731938e-08
0.7051462.1119133.744630e-08
0.7075442.1115113.757365e-08
0.709952.1111123.770144e-08
0.7123642.1107163.782966e-08
0.7147872.1103243.795832e-08
0.7172172.1099343.808741e-08
0.7196562.1095473.821695e-08
0.7221042.1091643.834692e-08
0.7245592.1087833.847734e-08
0.7270232.1084053.860820e-08
0.7294962.108033.873951e-08
0.7319762.1076583.887126e-08
0.7344652.1072893.900346e-08
0.7369632.1069233.913611e-08
0.7394692.1065593.926921e-08
0.7419842.1061983.940276e-08
0.7445072.105843.953677e-08
0.7470392.1054853.967123e-08
0.7495792.1051323.980615e-08
0.7521282.1047823.994153e-08
0.7546862.1044354.007737e-08
0.7572522.104094.021367e-08
0.7598282.1037484.035044e-08
0.7624112.1034084.048767e-08
0.7650042.1030714.062537e-08
0.7676062.1027374.076353e-08
0.7702162.1024054.090217e-08
0.7728352.1020754.104127e-08
0.7754632.1017484.118085e-08
0.77812.1014234.132091e-08
0.7807462.1011014.146144e-08
0.7834012.1007814.160244e-08
0.7860652.1004644.174393e-08
0.7887382.1001484.188590e-08
0.7914212.0998354.202835e-08
0.7941122.0995254.217129e-08
0.7968122.0992164.231471e-08
0.7995222.098914.245862e-08
0.82.0988574.248400e-08
0.8022412.0986064.260301e-08
0.8049692.0983054.274788e-08
0.8077072.0980054.289325e-08
0.8104532.0977084.303911e-08
0.8132092.0974134.318546e-08
0.8159752.097124.333232e-08
0.8187492.0968294.347967e-08
0.8215342.096544.362752e-08
0.8243272.0962534.377588e-08
0.8271312.0959684.392474e-08
0.8299432.0956854.407411e-08
0.8327662.0954044.422399e-08
0.8355982.0951264.437437e-08
0.8384392.0948494.452527e-08
0.841292.0945744.467668e-08
0.8441512.0943014.482861e-08
0.8470222.094034.498105e-08
0.8499022.0937614.513401e-08
0.8527932.0934934.528749e-08
0.8556932.0932284.544149e-08
0.8586032.0929644.559602e-08
0.8615222.0927034.575107e-08
0.8644522.0924434.590665e-08
0.8673922.0921844.606276e-08
0.8703412.0919284.621940e-08
0.8733012.0916734.637657e-08
0.8762712.091424.653427e-08
0.8792512.0911694.669252e-08
0.8822412.090924.685130e-08
0.8852412.0906724.701062e-08
0.8882512.0904264.717048e-08
0.8912722.0901814.733088e-08
0.8943032.0899384.749184e-08
0.8973442.0896974.765333e-08
0.9003952.0894574.781538e-08
0.9034572.0892194.797798e-08
0.906532.0889834.814113e-08
0.9096122.0887484.830484e-08
0.9127062.0885154.846910e-08
0.9158092.0882834.863392e-08
0.9189242.0880524.879931e-08
0.9220492.0878244.896525e-08
0.9251842.0875964.913176e-08
0.928332.087374.929884e-08
0.9314872.0871464.946648e-08
0.9346552.0869234.963469e-08
0.9378332.0867014.980348e-08
0.9410232.0864814.997284e-08
0.9442232.0862635.014277e-08
0.9474342.0860455.031329e-08
0.9506552.0858295.048438e-08
0.9538882.0856155.065606e-08
0.9571322.0854015.082831e-08
0.9603872.0851895.100116e-08
0.9636532.0849795.117459e-08
0.966932.0847695.134861e-08
0.9702182.0845615.152323e-08
0.9735172.0843545.169844e-08
0.9768282.0841495.187424e-08
0.980152.0839455.205064e-08
0.9834832.0837425.222764e-08
0.9868272.083545.240525e-08
0.9901832.0833395.258345e-08
0.993552.083145.276227e-08
0.9969292.0829425.294169e-08
1.000322.0827455.312172e-08
1.003722.0825495.330236e-08
1.007132.0823545.348362e-08
1.010562.082165.366549e-08
1.0142.0819685.384799e-08
1.017442.0817775.403110e-08
1.02092.0815865.421484e-08
1.024382.0813975.439920e-08
1.027862.0812095.458419e-08
1.031352.0810225.476980e-08
1.034862.0808365.495605e-08
1.038382.0806515.514293e-08
1.041912.0804685.533045e-08
1.045452.0802855.551860e-08
1.049012.0801035.570740e-08
1.052582.0799225.589683e-08
1.056162.0797425.608692e-08
1.059752.0795635.627764e-08
1.062.0795515.629100e-08
1.063352.0793865.646902e-08
1.066972.0792095.666105e-08
1.07062.0790335.685373e-08
1.074242.0788585.704707e-08
1.077892.0786845.724106e-08
1.081562.078515.743572e-08
1.085232.0783385.763104e-08
1.088922.0781675.782702e-08
1.092632.0779965.802366e-08
1.096342.0778265.822098e-08
1.100072.0776585.841897e-08
1.103812.077495.861763e-08
1.107572.0773235.881696e-08
1.111332.0771565.901697e-08
1.115112.0769915.921767e-08
1.11892.0768265.941904e-08
1.122712.0766635.962111e-08
1.126532.07655.982385e-08
1.130362.0763376.002729e-08
1.13422.0761766.023142e-08
1.138062.0760156.043624e-08
1.141932.0758556.064176e-08
1.145812.0756966.084798e-08
1.149712.0755386.105490e-08
1.153622.075386.126253e-08
1.157542.0752236.147086e-08
1.161482.0750676.167990e-08
1.165432.0749116.188965e-08
1.169392.0747566.210011e-08
1.173372.0746026.231129e-08
1.177362.0744496.252318e-08
1.181362.0742966.273580e-08
1.185382.0741446.294914e-08
1.189412.0739926.316321e-08
1.193452.0738416.337800e-08
1.197512.0736916.359352e-08
1.201582.0735416.380978e-08
1.205672.0733926.402677e-08
1.209772.0732446.424450e-08
1.213882.0730966.446297e-08
1.218012.0729496.468219e-08
1.222152.0728026.490214e-08
1.226312.0726566.512285e-08
1.230482.072516.534431e-08
1.234672.0723656.556652e-08
1.238862.0722216.578949e-08
1.243082.0720776.601321e-08
1.24732.0719346.623770e-08
1.251552.0717916.646294e-08
1.25582.0716486.668896e-08
1.260072.0715076.691574e-08
1.264362.0713656.714330e-08
1.268662.0712246.737162e-08
1.272972.0710846.760073e-08
1.27732.0709446.783061e-08
1.281642.0708056.806128e-08
1.2862.0706666.829273e-08
1.290382.0705276.852497e-08
1.294762.0703896.875799e-08
1.299172.0702526.899181e-08
1.303582.0701146.922643e-08
1.308022.0699786.946184e-08
1.312472.0698416.969805e-08
1.316932.0697056.993507e-08
1.321412.069577.017289e-08
1.32592.0694357.041152e-08
1.330412.06937.065096e-08
1.334932.0691657.089122e-08
1.339472.0690317.113229e-08
1.344032.0688987.137419e-08
1.34862.0687647.161690e-08
1.353182.0686317.186044e-08
1.357792.0684997.210481e-08
1.36242.0683667.235001e-08
1.367042.0682347.259605e-08
1.371692.0681037.284292e-08
1.376352.0679717.309063e-08
1.381032.067847.333918e-08
1.385732.0677097.358858e-08
1.390442.0675797.383883e-08
1.395172.0674497.408992e-08
1.399912.0673197.434187e-08
1.404672.0671897.459468e-08
1.409452.067067.484835e-08
1.414242.0669317.510288e-08
1.419052.0668027.535827e-08
1.423882.0666737.561454e-08
1.428722.0665457.587167e-08
1.433582.0664177.612968e-08
1.438452.0662897.638857e-08
1.443342.0661617.664834e-08
1.448252.0660337.690899e-08
1.453182.0659067.717053e-08
1.458122.0657797.743296e-08
1.463082.0656527.769628e-08
1.468052.0655257.796049e-08
1.473052.0653987.822560e-08
1.478052.0652727.849162e-08
1.483082.0651467.875854e-08
1.488122.0650197.902637e-08
1.493192.0648937.929510e-08
1.498262.0647687.956476e-08
1.52.0647257.965700e-08
1.503362.0646428.162487e-08
1.508472.0645168.462084e-08
1.51362.0643918.762700e-08
1.518752.0642659.064338e-08
1.523912.064149.367002e-08
1.529092.0640159.670695e-08
1.534292.063899.975421e-08
1.539512.0637651.028118e-07
1.544752.063641.058798e-07
1.552.0635151.089583e-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
—