Optical constants

Refractive index of Cu (Copper)

McPeak et al. 2015: n,k 0.3–1.7 µm

Data
tabulated nk
Range
0.3–1.7 µm
Points
141
Licence
CC0-1.0
Lightsmith
bundled

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–1.7 µm
Refractive index n
0.230856
Extinction coefficient k
2.91025
Permittivity ε1
-8.41624
Permittivity ε2
1.34369
Absorption coefficient α
622383 cm⁻¹
Penetration depth δ = λ/(2πk)
32.1345 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-10.1575 µm⁻¹
Group index ng
6.1994
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— 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

# Cu (Copper): McPeak et al. 2015: n,k 0.3–1.7 µm
cu = ls.LibraryMaterial(name="Cu", dataset="McPeak")
print(cu.range_nm)  # (300, 1700) nm
eps = cu.eps([633])  # complex permittivity

Ships with the library: works offline.

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.

Comments and conditions

Thermally evaporated Cu at 35 Å/s with base pressure of 3e-8 Torr, template stripped from Si wafer

References

K. M. McPeak, S. V. Jayanti, S. J. P. Kress, S. Meyer, S. Iotti, A. Rossinelli, D. J. Norris. Plasmonic films can easily be better: Rules and recipes. ACS Photonics 2, 326-333 (2015)

Cite

Kevin M. McPeak et al.. Plasmonic Films Can Easily Be Better: Rules and Recipes. ACS Photonics, 2, 326-333 (2015), doi:10.1021/ph5004237; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

141 rows as published
Cu (Copper), McPeak et al. 2015: n,k 0.3–1.7 µm: n and k versus wavelength
λ (µm)nk
0.31.3474599871.679419071
0.311.3214732111.740141215
0.321.3018969171.781554261
0.331.2788153461.816251273
0.341.2578560581.857525737
0.351.2297143721.895968733
0.361.2057937841.941169403
0.371.1831340741.99326522
0.381.165774872.046321345
0.391.1399296062.090129064
0.41.1193390062.14224644
0.411.0976614592.193481406
0.421.0828843272.251163803
0.431.0671852092.306769228
0.441.0563108452.361946782
0.451.0482104962.413637347
0.461.0440583542.464134299
0.471.0408264142.50896784
0.481.0403838182.549587906
0.491.0356227192.577676166
0.51.02921662.600958825
0.511.015962372.610628188
0.520.9954638082.613856957
0.530.9575258142.60358516
0.540.8964120842.584135179
0.550.797459942.56420404
0.560.6499135392.566649101
0.570.4676677952.633707115
0.580.3080525812.774526337
0.590.2064775432.953105649
0.60.153429293.124794481
0.610.1297385923.28082796
0.620.1166770683.422223479
0.630.1100699193.546563885
0.640.1071940123.666809315
0.650.1042324963.775693898
0.660.1025394673.879628119
0.670.1024494023.981770445
0.680.1012160094.082308744
0.690.1016039534.175083635
0.70.1012369084.27062629
0.710.1015576334.365353818
0.720.1011321944.453675754
0.730.1008489654.541494304
0.740.1009197894.632837662
0.750.1011739634.718605321
0.760.1018377994.806908667
0.770.1016720554.890330992
0.780.1041665664.985764803
0.790.101546115.058785587
0.80.1050899975.141307607
0.810.1056409255.225721003
0.820.10477175.314412207
0.830.1080654245.399044187
0.840.1063292755.471682183
0.850.1068030155.558363688
0.860.108061385.64355183
0.870.1094239475.718126756
0.880.1092269955.799390531
0.890.1107390525.87326682
0.90.1114740715.957887752
0.910.1105654816.04212088
0.920.1143547736.114742596
0.930.1157419326.194384247
0.940.1162430766.272201563
0.950.116515616.352367739
0.960.1172275466.433641449
0.970.1176121036.506983372
0.980.12002866.588429772
0.990.1206931356.665250695
1.00.1233146756.744939326
1.010.1235005536.819402641
1.020.125892536.894769679
1.030.1266564156.97753838
1.040.1254563047.048669327
1.050.1278799837.128558991
1.060.1230448997.21443969
1.070.1240585627.290911502
1.080.127248577.368255709
1.090.1261088047.447140621
1.10.1270490827.525831613
1.110.1279241957.605285307
1.120.126873647.67574732
1.130.1292331887.744914539
1.140.1269304987.827905937
1.150.1281357397.904898403
1.160.1312366527.984812024
1.170.1305347668.061453921
1.180.1329582178.142031558
1.190.1340869688.211088802
1.20.1322049048.276924437
1.210.1319548068.369911115
1.220.1345367828.444530783
1.230.1320590348.511723656
1.240.1353804388.594668572
1.250.1409473128.661747292
1.260.1453056128.740887468
1.270.1426549788.812170586
1.280.1458086058.885620977
1.290.1436364978.96290307
1.30.143577469.049122305
1.310.148155079.118823933
1.320.1467745049.199486005
1.330.1536620119.262861977
1.340.147952999.342156608
1.350.1566187829.420006871
1.360.1532866999.497236272
1.370.1580205849.563627476
1.380.1594356019.624262035
1.390.1649293099.719012382
1.40.1609035989.787537482
1.410.1658785459.863240628
1.420.1700835259.953638953
1.430.17043080510.01843534
1.440.17771948810.07430316
1.450.17680835410.15732549
1.460.17497515910.25088368
1.470.18489893610.3234775
1.480.18987439810.3863397
1.490.18037299710.47246554
1.50.18247859110.53438648
1.510.1848672810.60679857
1.520.19087250510.67597454
1.530.19098533510.74925464
1.540.198945410.8263373
1.550.19433240910.92097821
1.560.19816588810.97767142
1.570.19259469911.04885029
1.580.20742015511.16839394
1.590.20479334111.20544244
1.60.20918670311.29087061
1.610.21336594111.36334128
1.620.21759604311.4432228
1.630.22680367211.53045706
1.640.22563474911.58753257
1.650.21998234911.65025288
1.660.23884865211.72164872
1.670.24344502311.80081631
1.680.22600500411.89332074
1.690.2600274911.92047039
1.70.25589484612.02603352

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
—