Optical constants

Refractive index of K-PSFn173(M) (SUMITA)

K-PSFn173(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.

At one wavelength

Range 0.4–1.55 µm
Refractive index n
2.14341
Extinction coefficient k
7.81283e-08
Permittivity ε1
4.59419
Permittivity ε2
3.34922e-07
Absorption coefficient α
0.0167085 cm⁻¹
Penetration depth δ = λ/(2πk)
1.19700e+09 nm
Abbe number Vd
17.303
Chromatic dispersion dn/dλ
-0.324245 µm⁻¹
Group index ng
2.33393
Group velocity dispersion
721.726 fs²/mm
Dispersion parameter D
-3937.4 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-PSFn173(M) (SUMITA): K-PSFn173(M)
mat = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PSFn173(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=4.2616161−0.013994195⁢λ2.0+0.095197887⁢λ−2.0+0.0078651735⁢λ−4.0−0.00053525936⁢λ−6.0+0.00012395474⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C14.2616161
C2-0.013994195
C32.0
C40.095197887
C5-2.0
C60.0078651735
C7-4.0
C8-0.00053525936
C9-6.0
C100.00012395474
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.59e-05 2.25e-08 -1.48e-10 3.28e-06 3.23e-09 0.333
nd
2.14342
Vd
17.3
glass code
148173
density
value: 7030
thermal expansion
value: 7.9e-06, temperature range: 243 343; value: 9.7e-06, temperature range: 293 573
dPgF
0.049
resistance
acid: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.26e-05 K⁻¹ at 633 nm, dn/dT = 1.43e-05 K⁻¹ at 1310 nm, dn/dT = 1.37e-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-PSFn173(M) (SUMITA), K-PSFn173(M): n and k versus wavelength
λ (µm)nk
0.42.2847452.762600e-05
0.401362.282422.620839e-05
0.4027252.2801292.478596e-05
0.4040952.2778712.335869e-05
0.4054692.2756462.192657e-05
0.4068482.2734532.048958e-05
0.4082312.2712921.904770e-05
0.4096192.2691611.760092e-05
0.4110122.267061.614922e-05
0.412412.2649891.469258e-05
0.4138132.2629471.323099e-05
0.415222.2609341.176443e-05
0.4166322.2589481.029288e-05
0.4180492.256998.816325e-06
0.419472.2550597.334751e-06
0.422.2543486.782600e-06
0.4208972.2531546.533067e-06
0.4223282.2512756.134740e-06
0.4237642.2494215.735060e-06
0.4252052.2475925.334020e-06
0.4266512.2457884.931616e-06
0.4281022.2440084.527843e-06
0.4295582.2422514.122698e-06
0.4310192.2405173.716175e-06
0.4324842.2388063.308270e-06
0.4339552.2371182.898977e-06
0.4354312.2354512.488292e-06
0.4369122.2338062.076211e-06
0.4383972.2321821.662729e-06
0.4398882.2305781.247840e-06
0.442.2304591.216700e-06
0.4413842.2289951.157354e-06
0.4428852.2274321.092991e-06
0.4443912.2258881.028409e-06
0.4459022.2243649.636080e-07
0.4474192.2228598.985864e-07
0.448942.2213728.333437e-07
0.4504672.2199047.678791e-07
0.4519992.2184547.021919e-07
0.4535362.2170216.362813e-07
0.4550782.2156055.701466e-07
0.4566262.2142075.037870e-07
0.4581782.2128264.372017e-07
0.4597362.2114613.703900e-07
0.462.2112323.590900e-07
0.46132.2101123.474185e-07
0.4628692.2087793.333331e-07
0.4644432.2074623.191998e-07
0.4660222.206163.050184e-07
0.4676072.2048732.907888e-07
0.4691972.2036022.765108e-07
0.4707922.2023452.621843e-07
0.4723932.2011022.478090e-07
0.4742.1998742.333849e-07
0.4756122.1986592.189117e-07
0.4772292.1974582.043893e-07
0.4788522.1962711.898175e-07
0.482.1954421.795100e-07
0.480482.1950971.777569e-07
0.4821142.1939371.717947e-07
0.4837542.1927891.658122e-07
0.4853992.1916531.598093e-07
0.487052.1905311.537861e-07
0.4887062.189421.477424e-07
0.4903682.1883221.416781e-07
0.4920352.1872361.355932e-07
0.4937092.1861611.294876e-07
0.4953872.1850981.233612e-07
0.4970722.1840461.172140e-07
0.4987622.1830051.110459e-07
0.52.1822531.065300e-07
0.5004592.1819761.062237e-07
0.502162.1809571.050868e-07
0.5038682.179951.039461e-07
0.5055822.1789521.028014e-07
0.5073012.1779651.016529e-07
0.5090262.1769891.005005e-07
0.5107572.1760229.934414e-08
0.5124942.1750669.818387e-08
0.5142372.1741199.701964e-08
0.5159852.1731829.585146e-08
0.517742.1722549.467930e-08
0.5195012.1713369.350316e-08
0.5212672.1704279.232302e-08
0.523042.1695279.113887e-08
0.5248192.1686378.995069e-08
0.5266032.1677558.875847e-08
0.5283942.1668828.756219e-08
0.5301912.1660178.636185e-08
0.5319942.1651628.515742e-08
0.5338032.1643148.394890e-08
0.5356182.1634758.273627e-08
0.537442.1626448.151952e-08
0.5392672.1618218.029862e-08
0.5411012.1610067.907358e-08
0.5429412.1601997.784437e-08
0.5447882.15947.661098e-08
0.546642.1586087.537340e-08
0.5484992.1578247.413160e-08
0.552.1571997.312900e-08
0.5503642.1570487.317745e-08
0.5522362.1562787.342629e-08
0.5541142.1555167.367598e-08
0.5559982.1547627.392653e-08
0.5578892.1540147.417792e-08
0.5597862.1532737.443017e-08
0.561692.1525397.468327e-08
0.56362.1518127.493724e-08
0.5655162.1510927.519207e-08
0.567442.1503797.544776e-08
0.5693692.1496727.570433e-08
0.5713052.1489717.596177e-08
0.5732482.1482777.622008e-08
0.5751982.1475897.647927e-08
0.5771542.1469087.673935e-08
0.5791162.1462327.700030e-08
0.5810862.1455637.726215e-08
0.5830622.14497.752489e-08
0.5850442.1442427.778852e-08
0.5870342.1435917.805304e-08
0.589032.1429467.831847e-08
0.5910332.1423067.858479e-08
0.5930432.1416727.885203e-08
0.595062.1410437.912017e-08
0.5970842.140427.938922e-08
0.5991142.1398037.965919e-08
0.62.1395367.977700e-08
0.6011512.1391918.032925e-08
0.6031962.1385848.130981e-08
0.6052472.1379828.229371e-08
0.6073052.1373868.328095e-08
0.609372.1367958.427155e-08
0.6114432.1362098.526552e-08
0.6135222.1356298.626287e-08
0.6156082.1350538.726361e-08
0.6177022.1344828.826775e-08
0.6198022.1339168.927531e-08
0.621912.1333559.028630e-08
0.6240252.1327999.130072e-08
0.6261472.1322479.231859e-08
0.6282762.13179.333993e-08
0.6304132.1311589.436474e-08
0.6325562.130629.539303e-08
0.6347082.1300879.642482e-08
0.6368662.1295589.746012e-08
0.6390322.1290349.849893e-08
0.6412052.1285149.954128e-08
0.6433852.1279981.005872e-07
0.6455732.1274871.016366e-07
0.6477692.126981.026897e-07
0.6499712.1264771.037463e-07
0.652.1264711.037600e-07
0.6521822.1259791.041082e-07
0.6543992.1254841.044622e-07
0.6566252.1249941.048173e-07
0.6588582.1245071.051737e-07
0.6610982.1240251.055313e-07
0.6633462.1235461.058901e-07
0.6656022.1230711.062501e-07
0.6678662.1226011.066114e-07
0.6701372.1221341.069738e-07
0.6724162.121671.073376e-07
0.6747022.1212111.077025e-07
0.6769972.1207551.080687e-07
0.6792992.1203031.084361e-07
0.6816092.1198551.088048e-07
0.6839272.119411.091747e-07
0.6862532.1189681.095459e-07
0.6885862.1185311.099184e-07
0.6909282.1180961.102921e-07
0.6932782.1176651.106671e-07
0.6956352.1172381.110434e-07
0.6980012.1168141.114209e-07
0.72.1164591.117400e-07
0.7003742.1163931.117199e-07
0.7027562.1159761.115920e-07
0.7051462.1155611.114637e-07
0.7075442.115151.113349e-07
0.709952.1147431.112057e-07
0.7123642.1143381.110760e-07
0.7147872.1139371.109460e-07
0.7172172.1135381.108154e-07
0.7196562.1131431.106845e-07
0.7221042.1127511.105530e-07
0.7245592.1123621.104212e-07
0.7270232.1119761.102889e-07
0.7294962.1115931.101561e-07
0.7319762.1112131.100229e-07
0.7344652.1108351.098892e-07
0.7369632.1104611.097551e-07
0.7394692.1100891.096205e-07
0.7419842.109721.094855e-07
0.7445072.1093541.093500e-07
0.7470392.1089911.092140e-07
0.7495792.1086311.090776e-07
0.7521282.1082731.089407e-07
0.7546862.1079181.088034e-07
0.7572522.1075661.086655e-07
0.7598282.1072161.085273e-07
0.7624112.1068691.083885e-07
0.7650042.1065241.082493e-07
0.7676062.1061821.081096e-07
0.7702162.1058431.079694e-07
0.7728352.1055061.078288e-07
0.7754632.1051711.076876e-07
0.77812.1048391.075460e-07
0.7807462.104511.074039e-07
0.7834012.1041831.072613e-07
0.7860652.1038581.071183e-07
0.7887382.1035361.069747e-07
0.7914212.1032161.068307e-07
0.7941122.1028981.066862e-07
0.7968122.1025821.065412e-07
0.7995222.1022691.063957e-07
0.82.1022141.063700e-07
0.8022412.1019581.059384e-07
0.8049692.101651.054129e-07
0.8077072.1013431.048856e-07
0.8104532.1010391.043566e-07
0.8132092.1007371.038257e-07
0.8159752.1004371.032931e-07
0.8187492.100141.027586e-07
0.8215342.0998441.022224e-07
0.8243272.0995511.016842e-07
0.8271312.0992591.011443e-07
0.8299432.098971.006025e-07
0.8327662.0986821.000589e-07
0.8355982.0983979.951347e-08
0.8384392.0981149.896616e-08
0.841292.0978329.841698e-08
0.8441512.0975539.786594e-08
0.8470222.0972769.731302e-08
0.8499022.0979.675822e-08
0.8527932.0967269.620153e-08
0.8556932.0964559.564296e-08
0.8586032.0961859.508248e-08
0.8615222.0959179.452010e-08
0.8644522.095659.395580e-08
0.8673922.0953869.338958e-08
0.8703412.0951249.282144e-08
0.8733012.0948639.225137e-08
0.8762712.0946049.167936e-08
0.8792512.0943469.110540e-08
0.8822412.0940919.052950e-08
0.8852412.0938378.995163e-08
0.8882512.0935858.937180e-08
0.8912722.0933348.878999e-08
0.8943032.0930868.820621e-08
0.8973442.0928388.762045e-08
0.9003952.0925938.703269e-08
0.9034572.0923498.644293e-08
0.906532.0921078.585117e-08
0.9096122.0918668.525739e-08
0.9127062.0916278.466159e-08
0.9158092.0913898.406377e-08
0.9189242.0911538.346392e-08
0.9220492.0909198.286203e-08
0.9251842.0906868.225809e-08
0.928332.0904548.165209e-08
0.9314872.0902248.104404e-08
0.9346552.0899968.043391e-08
0.9378332.0897697.982172e-08
0.9410232.0895437.920744e-08
0.9442232.0893197.859107e-08
0.9474342.0890967.797260e-08
0.9506552.0888747.735203e-08
0.9538882.0886547.672936e-08
0.9571322.0884367.610456e-08
0.9603872.0882187.547764e-08
0.9636532.0880027.484859e-08
0.966932.0877887.421740e-08
0.9702182.0875757.358406e-08
0.9735172.0873637.294857e-08
0.9768282.0871527.231092e-08
0.980152.0869427.167109e-08
0.9834832.0867347.102910e-08
0.9868272.0865277.038492e-08
0.9901832.0863226.973855e-08
0.993552.0861176.908998e-08
0.9969292.0859146.843920e-08
1.000322.0857126.778622e-08
1.003722.0855116.713101e-08
1.007132.0853126.647357e-08
1.010562.0851136.581390e-08
1.0142.0849166.515199e-08
1.017442.084726.448782e-08
1.02092.0845256.382140e-08
1.024382.0843316.315271e-08
1.027862.0841386.248174e-08
1.031352.0839466.180850e-08
1.034862.0837566.113296e-08
1.038382.0835666.045513e-08
1.041912.0833785.977499e-08
1.045452.083195.909254e-08
1.049012.0830045.840777e-08
1.052582.0828185.772067e-08
1.056162.0826345.703123e-08
1.059752.0824515.633945e-08
1.062.0824385.629100e-08
1.063352.0822695.646902e-08
1.066972.0820875.666105e-08
1.07062.0819075.685373e-08
1.074242.0817285.704707e-08
1.077892.0815495.724106e-08
1.081562.0813725.743572e-08
1.085232.0811955.763104e-08
1.088922.081025.782702e-08
1.092632.0808455.802366e-08
1.096342.0806715.822098e-08
1.100072.0804985.841897e-08
1.103812.0803265.861763e-08
1.107572.0801555.881696e-08
1.111332.0799855.901697e-08
1.115112.0798165.921767e-08
1.11892.0796475.941904e-08
1.122712.0794795.962111e-08
1.126532.0793135.982385e-08
1.130362.0791466.002729e-08
1.13422.0789816.023142e-08
1.138062.0788176.043624e-08
1.141932.0786536.064176e-08
1.145812.078496.084798e-08
1.149712.0783286.105490e-08
1.153622.0781676.126253e-08
1.157542.0780066.147086e-08
1.161482.0778476.167990e-08
1.165432.0776886.188965e-08
1.169392.0775296.210011e-08
1.173372.0773726.231129e-08
1.177362.0772156.252318e-08
1.181362.0770586.273580e-08
1.185382.0769036.294914e-08
1.189412.0767486.316321e-08
1.193452.0765946.337800e-08
1.197512.076446.359352e-08
1.201582.0762886.380978e-08
1.205672.0761356.402677e-08
1.209772.0759846.424450e-08
1.213882.0758336.446297e-08
1.218012.0756836.468219e-08
1.222152.0755336.490214e-08
1.226312.0753846.512285e-08
1.230482.0752366.534431e-08
1.234672.0750886.556652e-08
1.238862.0749416.578949e-08
1.243082.0747946.601321e-08
1.24732.0746486.623770e-08
1.251552.0745026.646294e-08
1.25582.0743576.668896e-08
1.260072.0742136.691574e-08
1.264362.0740696.714330e-08
1.268662.0739256.737162e-08
1.272972.0737836.760073e-08
1.27732.073646.783061e-08
1.281642.0734986.806128e-08
1.2862.0733576.829273e-08
1.290382.0732166.852497e-08
1.294762.0730766.875799e-08
1.299172.0729366.899181e-08
1.303582.0727976.922643e-08
1.308022.0726586.946184e-08
1.312472.0725196.969805e-08
1.316932.0723816.993507e-08
1.321412.0722437.017289e-08
1.32592.0721067.041152e-08
1.330412.071977.065096e-08
1.334932.0718337.089122e-08
1.339472.0716977.113229e-08
1.344032.0715627.137419e-08
1.34862.0714277.161690e-08
1.353182.0712927.186044e-08
1.357792.0711587.210481e-08
1.36242.0710247.235001e-08
1.367042.070897.259605e-08
1.371692.0707577.284292e-08
1.376352.0706247.309063e-08
1.381032.0704917.333918e-08
1.385732.0703597.358858e-08
1.390442.0702277.383883e-08
1.395172.0700967.408992e-08
1.399912.0699647.434187e-08
1.404672.0698337.459468e-08
1.409452.0697037.484835e-08
1.414242.0695737.510288e-08
1.419052.0694437.535827e-08
1.423882.0693137.561454e-08
1.428722.0691837.587167e-08
1.433582.0690547.612968e-08
1.438452.0689257.638857e-08
1.443342.0687977.664834e-08
1.448252.0686687.690899e-08
1.453182.068547.717053e-08
1.458122.0684127.743296e-08
1.463082.0682847.769628e-08
1.468052.0681577.796049e-08
1.473052.068037.822560e-08
1.478052.0679037.849162e-08
1.483082.0677767.875854e-08
1.488122.0676497.902637e-08
1.493192.0675237.929510e-08
1.498262.0673977.956476e-08
1.52.0673547.965700e-08
1.503362.0672718.162487e-08
1.508472.0671458.462084e-08
1.51362.0670198.762700e-08
1.518752.0668939.064338e-08
1.523912.0667689.367002e-08
1.529092.0666439.670695e-08
1.534292.0665189.975421e-08
1.539512.0663931.028118e-07
1.544752.0662681.058798e-07
1.552.0661431.089583e-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
—