Optical constants

Refractive index of K-PSFn215 (SUMITA)

K-PSFn215: 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.

At one wavelength

Range 0.4–1.55 µm
Refractive index n
2.15399
Extinction coefficient k
3.12046e-08
Permittivity ε1
4.63966
Permittivity ε2
1.34428e-07
Absorption coefficient α
0.00667338 cm⁻¹
Penetration depth δ = λ/(2πk)
2.99698e+09 nm
Abbe number Vd
17.155
Chromatic dispersion dn/dλ
-0.329869 µm⁻¹
Group index ng
2.34782
Group velocity dispersion
735.881 fs²/mm
Dispersion parameter D
-4014.62 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-PSFn215 (SUMITA): K-PSFn215
sumita_k_psfn215 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PSFn215", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_psfn215.range_nm)  # (400, 1550) nm
eps = sumita_k_psfn215.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=4.2994108−0.014091413⁢λ2.0+0.097855062⁢λ−2.0+0.0076857652⁢λ−4.0−0.00046786841⁢λ−6.0+0.00012218724⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C14.2994108
C2-0.014091413
C32.0
C40.097855062
C5-2.0
C60.0076857652
C7-4.0
C8-0.00046786841
C9-6.0
C100.00012218724
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.64e-05 4.6e-08 -2.91e-10 3.47e-06 -3e-09 0.301
nd
2.15400
Vd
17.2
glass code
154172
density
value: 7100
thermal expansion
value: 8.6e-06, temperature range: 243 343; value: 1.01e-05, temperature range: 293 573
dPgF
0.0498
resistance
acid: 5.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.31e-05 K⁻¹ at 633 nm, dn/dT = 1.48e-05 K⁻¹ at 1310 nm, dn/dT = 1.43e-05 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 412 wavelengths, the same grid as the API and the library
K-PSFn215 (SUMITA), K-PSFn215: n and k versus wavelength
λ (µm)nk
0.42.2980851.951100e-05
0.401362.2957131.876420e-05
0.4027252.2933761.801487e-05
0.4040952.2910721.726298e-05
0.4054692.2888021.650854e-05
0.4068482.2865651.575153e-05
0.4082312.284361.499195e-05
0.4096192.2821861.422979e-05
0.4110122.2800421.346503e-05
0.412412.2779291.269768e-05
0.4138132.2758461.192771e-05
0.415222.2737911.115513e-05
0.4166322.2717651.037991e-05
0.4180492.2697679.602066e-06
0.419472.2677978.821573e-06
0.422.2670718.530700e-06
0.4208972.2658538.228386e-06
0.4223282.2639367.745805e-06
0.4237642.2620447.261584e-06
0.4252052.2601786.775716e-06
0.4266512.2583376.288195e-06
0.4281022.2565215.799017e-06
0.4295582.2547285.308175e-06
0.4310192.2529594.815664e-06
0.4324842.2512144.321479e-06
0.4339552.2494913.825612e-06
0.4354312.247793.328060e-06
0.4369122.2461122.828815e-06
0.4383972.2444552.327873e-06
0.4398882.2428191.825227e-06
0.442.2426971.787500e-06
0.4413842.2412041.706228e-06
0.4428852.2396091.618086e-06
0.4443912.2380341.529644e-06
0.4459022.2364791.440901e-06
0.4474192.2349441.351857e-06
0.448942.2334271.262510e-06
0.4504672.2319291.172859e-06
0.4519992.230451.082903e-06
0.4535362.2289899.926416e-07
0.4550782.2275459.020729e-07
0.4566262.2261198.111963e-07
0.4581782.224717.200106e-07
0.4597362.2233176.285148e-07
0.462.2230846.130400e-07
0.46132.2219425.907596e-07
0.4628692.2205825.638712e-07
0.4644432.2192395.368914e-07
0.4660222.2179125.098198e-07
0.4676072.2165994.826562e-07
0.4691972.2153034.554002e-07
0.4707922.2140214.280514e-07
0.4723932.2127544.006097e-07
0.4742.2115013.730747e-07
0.4756122.2102633.454460e-07
0.4772292.2090393.177234e-07
0.4788522.2078282.899065e-07
0.482.2069832.702300e-07
0.480482.2066322.669407e-07
0.4821142.2054482.557540e-07
0.4837542.2042782.445292e-07
0.4853992.2031212.332663e-07
0.487052.2019762.219651e-07
0.4887062.2008442.106254e-07
0.4903682.1997251.992472e-07
0.4920352.1986181.878303e-07
0.4937092.1975221.763745e-07
0.4953872.1964391.648798e-07
0.4970722.1953671.533461e-07
0.4987622.1943071.417731e-07
0.52.193541.333000e-07
0.5004592.1932581.323454e-07
0.502162.192221.288024e-07
0.5038682.1911931.252473e-07
0.5055822.1901771.216802e-07
0.5073012.1891711.181009e-07
0.5090262.1881761.145094e-07
0.5107572.1871911.109058e-07
0.5124942.1862171.072898e-07
0.5142372.1852521.036616e-07
0.5159852.1842981.000210e-07
0.517742.1833539.636809e-08
0.5195012.1824189.270273e-08
0.5212672.1814928.902490e-08
0.523042.1805758.533456e-08
0.5248192.1796688.163168e-08
0.5266032.178777.791620e-08
0.5283942.1778817.418809e-08
0.5301912.1770017.044730e-08
0.5319942.1761296.669378e-08
0.5338032.1752666.292751e-08
0.5356182.1744125.914842e-08
0.537442.1735665.535649e-08
0.5392672.1727285.155166e-08
0.5411012.1718984.773389e-08
0.5429412.1710764.390314e-08
0.5447882.1702634.005936e-08
0.546642.1694573.620251e-08
0.5484992.1686593.233254e-08
0.552.1680222.920800e-08
0.5503642.1678682.922735e-08
0.5522362.1670852.932673e-08
0.5541142.1663092.942645e-08
0.5559982.1655412.952651e-08
0.5578892.164782.962690e-08
0.5597862.1640262.972764e-08
0.561692.1632792.982873e-08
0.56362.1625392.993015e-08
0.5655162.1618063.003192e-08
0.567442.161083.013404e-08
0.5693692.1603613.023650e-08
0.5713052.1596483.033932e-08
0.5732482.1589423.044248e-08
0.5751982.1582423.054599e-08
0.5771542.1575483.064986e-08
0.5791162.1568613.075408e-08
0.5810862.156183.085865e-08
0.5830622.1555053.096358e-08
0.5850442.1548373.106886e-08
0.5870342.1541743.117451e-08
0.589032.1535173.128051e-08
0.5910332.1528663.138687e-08
0.5930432.1522213.149360e-08
0.595062.1515823.160068e-08
0.5970842.1509483.170813e-08
0.5991142.150323.181595e-08
0.62.1500483.186300e-08
0.6011512.1496973.232215e-08
0.6031962.149083.313741e-08
0.6052472.1484693.395545e-08
0.6073052.1478623.477626e-08
0.609372.1472613.559987e-08
0.6114432.1466653.642628e-08
0.6135222.1460753.725550e-08
0.6156082.1454893.808753e-08
0.6177022.1449093.892240e-08
0.6198022.1443333.976011e-08
0.621912.1437624.060066e-08
0.6240252.1431974.144408e-08
0.6261472.1426364.229036e-08
0.6282762.1420794.313952e-08
0.6304132.1415284.399157e-08
0.6325562.1409814.484651e-08
0.6347082.1404394.570437e-08
0.6368662.1399024.656514e-08
0.6390322.1393684.742883e-08
0.6412052.138844.829547e-08
0.6433852.1383164.916505e-08
0.6455732.1377965.003759e-08
0.6477692.137285.091309e-08
0.6499712.1367695.179157e-08
0.652.1367625.180300e-08
0.6521822.1362625.197688e-08
0.6543992.1357595.215364e-08
0.6566252.1352615.233100e-08
0.6588582.1347665.250896e-08
0.6610982.1342755.268753e-08
0.6633462.1337895.286671e-08
0.6656022.1333065.304650e-08
0.6678662.1328285.322690e-08
0.6701372.1323535.340791e-08
0.6724162.1318825.358953e-08
0.6747022.1314155.377178e-08
0.6769972.1309525.395464e-08
0.6792992.1304925.413813e-08
0.6816092.1300365.432224e-08
0.6839272.1295845.450697e-08
0.6862532.1291365.469234e-08
0.6885862.1286915.487833e-08
0.6909282.1282495.506496e-08
0.6932782.1278115.525222e-08
0.6956352.1273775.544012e-08
0.6980012.1269465.562866e-08
0.72.1265855.578800e-08
0.7003742.1265185.573819e-08
0.7027562.1260945.542133e-08
0.7051462.1256735.510339e-08
0.7075442.1252555.478437e-08
0.709952.124845.446426e-08
0.7123642.1244295.414307e-08
0.7147872.1240215.382078e-08
0.7172172.1236165.349740e-08
0.7196562.1232155.317292e-08
0.7221042.1228165.284733e-08
0.7245592.1224215.252064e-08
0.7270232.1220285.219283e-08
0.7294962.1216395.186392e-08
0.7319762.1212525.153388e-08
0.7344652.1208695.120272e-08
0.7369632.1204885.087043e-08
0.7394692.1201115.053702e-08
0.7419842.1197365.020247e-08
0.7445072.1193644.986678e-08
0.7470392.1189954.952995e-08
0.7495792.1186294.919198e-08
0.7521282.1182654.885285e-08
0.7546862.1179044.851258e-08
0.7572522.1175464.817114e-08
0.7598282.1171914.782855e-08
0.7624112.1168384.748479e-08
0.7650042.1164884.713986e-08
0.7676062.116144.679376e-08
0.7702162.1157954.644648e-08
0.7728352.1154534.609802e-08
0.7754632.1151134.574837e-08
0.77812.1147754.539754e-08
0.7807462.114444.504551e-08
0.7834012.1141084.469229e-08
0.7860652.1137784.433786e-08
0.7887382.113454.398223e-08
0.7914212.1131254.362539e-08
0.7941122.1128024.326734e-08
0.7968122.1124824.290807e-08
0.7995222.1121634.254758e-08
0.82.1121084.248400e-08
0.8022412.1118474.260301e-08
0.8049692.1115344.274788e-08
0.8077072.1112224.289325e-08
0.8104532.1109134.303911e-08
0.8132092.1106064.318546e-08
0.8159752.1103024.333232e-08
0.8187492.1099994.347967e-08
0.8215342.1096994.362752e-08
0.8243272.10944.377588e-08
0.8271312.1091044.392474e-08
0.8299432.108814.407411e-08
0.8327662.1085184.422399e-08
0.8355982.1082284.437437e-08
0.8384392.107944.452527e-08
0.841292.1076544.467668e-08
0.8441512.107374.482861e-08
0.8470222.1070884.498105e-08
0.8499022.1068084.513401e-08
0.8527932.106534.528749e-08
0.8556932.1062544.544149e-08
0.8586032.105984.559602e-08
0.8615222.1057074.575107e-08
0.8644522.1054374.590665e-08
0.8673922.1051684.606276e-08
0.8703412.1049014.621940e-08
0.8733012.1046364.637657e-08
0.8762712.1043734.653427e-08
0.8792512.1041114.669252e-08
0.8822412.1038524.685130e-08
0.8852412.1035944.701062e-08
0.8882512.1033374.717048e-08
0.8912722.1030834.733088e-08
0.8943032.102834.749184e-08
0.8973442.1025794.765333e-08
0.9003952.1023294.781538e-08
0.9034572.1020814.797798e-08
0.906532.1018354.814113e-08
0.9096122.101594.830484e-08
0.9127062.1013474.846910e-08
0.9158092.1011064.863392e-08
0.9189242.1008664.879931e-08
0.9220492.1006284.896525e-08
0.9251842.1003914.913176e-08
0.928332.1001564.929884e-08
0.9314872.0999224.946648e-08
0.9346552.099694.963469e-08
0.9378332.0994594.980348e-08
0.9410232.0992294.997284e-08
0.9442232.0990025.014277e-08
0.9474342.0987755.031329e-08
0.9506552.098555.048438e-08
0.9538882.0983265.065606e-08
0.9571322.0981045.082831e-08
0.9603872.0978835.100116e-08
0.9636532.0976645.117459e-08
0.966932.0974465.134861e-08
0.9702182.0972295.152323e-08
0.9735172.0970145.169844e-08
0.9768282.0967995.187424e-08
0.980152.0965875.205064e-08
0.9834832.0963755.222764e-08
0.9868272.0961655.240525e-08
0.9901832.0959565.258345e-08
0.993552.0957485.276227e-08
0.9969292.0955425.294169e-08
1.000322.0953365.312172e-08
1.003722.0951325.330236e-08
1.007132.0949295.348362e-08
1.010562.0947285.366549e-08
1.0142.0945275.384799e-08
1.017442.0943285.403110e-08
1.02092.094135.421484e-08
1.024382.0939325.439920e-08
1.027862.0937375.458419e-08
1.031352.0935425.476980e-08
1.034862.0933485.495605e-08
1.038382.0931555.514293e-08
1.041912.0929645.533045e-08
1.045452.0927745.551860e-08
1.049012.0925845.570740e-08
1.052582.0923965.589683e-08
1.056162.0922095.608692e-08
1.059752.0920225.627764e-08
1.062.0920095.629100e-08
1.063352.0918375.646902e-08
1.066972.0916535.666105e-08
1.07062.091475.685373e-08
1.074242.0912875.704707e-08
1.077892.0911065.724106e-08
1.081562.0909265.743572e-08
1.085232.0907465.763104e-08
1.088922.0905685.782702e-08
1.092632.0903915.802366e-08
1.096342.0902145.822098e-08
1.100072.0900385.841897e-08
1.103812.0898645.861763e-08
1.107572.089695.881696e-08
1.111332.0895175.901697e-08
1.115112.0893455.921767e-08
1.11892.0891745.941904e-08
1.122712.0890035.962111e-08
1.126532.0888345.982385e-08
1.130362.0886656.002729e-08
1.13422.0884976.023142e-08
1.138062.088336.043624e-08
1.141932.0881646.064176e-08
1.145812.0879996.084798e-08
1.149712.0878346.105490e-08
1.153622.087676.126253e-08
1.157542.0875076.147086e-08
1.161482.0873456.167990e-08
1.165432.0871836.188965e-08
1.169392.0870226.210011e-08
1.173372.0868626.231129e-08
1.177362.0867036.252318e-08
1.181362.0865446.273580e-08
1.185382.0863866.294914e-08
1.189412.0862296.316321e-08
1.193452.0860736.337800e-08
1.197512.0859176.359352e-08
1.201582.0857616.380978e-08
1.205672.0856076.402677e-08
1.209772.0854536.424450e-08
1.213882.08536.446297e-08
1.218012.0851476.468219e-08
1.222152.0849956.490214e-08
1.226312.0848446.512285e-08
1.230482.0846936.534431e-08
1.234672.0845436.556652e-08
1.238862.0843946.578949e-08
1.243082.0842456.601321e-08
1.24732.0840966.623770e-08
1.251552.0839496.646294e-08
1.25582.0838026.668896e-08
1.260072.0836556.691574e-08
1.264362.0835096.714330e-08
1.268662.0833636.737162e-08
1.272972.0832186.760073e-08
1.27732.0830746.783061e-08
1.281642.082936.806128e-08
1.2862.0827866.829273e-08
1.290382.0826436.852497e-08
1.294762.0825016.875799e-08
1.299172.0823596.899181e-08
1.303582.0822186.922643e-08
1.308022.0820776.946184e-08
1.312472.0819366.969805e-08
1.316932.0817966.993507e-08
1.321412.0816567.017289e-08
1.32592.0815177.041152e-08
1.330412.0813787.065096e-08
1.334932.081247.089122e-08
1.339472.0811027.113229e-08
1.344032.0809657.137419e-08
1.34862.0808287.161690e-08
1.353182.0806917.186044e-08
1.357792.0805557.210481e-08
1.36242.0804197.235001e-08
1.367042.0802837.259605e-08
1.371692.0801487.284292e-08
1.376352.0800137.309063e-08
1.381032.0798797.333918e-08
1.385732.0797457.358858e-08
1.390442.0796117.383883e-08
1.395172.0794787.408992e-08
1.399912.0793457.434187e-08
1.404672.0792127.459468e-08
1.409452.079087.484835e-08
1.414242.0789487.510288e-08
1.419052.0788167.535827e-08
1.423882.0786847.561454e-08
1.428722.0785537.587167e-08
1.433582.0784227.612968e-08
1.438452.0782917.638857e-08
1.443342.0781617.664834e-08
1.448252.0780317.690899e-08
1.453182.0779017.717053e-08
1.458122.0777717.743296e-08
1.463082.0776427.769628e-08
1.468052.0775137.796049e-08
1.473052.0773847.822560e-08
1.478052.0772557.849162e-08
1.483082.0771277.875854e-08
1.488122.0769987.902637e-08
1.493192.076877.929510e-08
1.498262.0767427.956476e-08
1.52.0766997.965700e-08
1.503362.0766158.162487e-08
1.508472.0764878.462084e-08
1.51362.076368.762700e-08
1.518752.0762339.064338e-08
1.523912.0761069.367002e-08
1.529092.0759799.670695e-08
1.534292.0758529.975421e-08
1.539512.0757261.028118e-07
1.544752.0755991.058798e-07
1.552.0754731.089583e-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
—