Optical constants

Refractive index of Cu (Copper)

Ordal et al. 1985: n,k 0.517–55.6 µm

Data
tabulated nk
Range
0.517–55.6 µm
Points
56
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.517–55.6 µm
Refractive index n
0.808846
Extinction coefficient k
3.25371
Permittivity ε1
-9.93241
Permittivity ε2
5.2635
Absorption coefficient α
695837 cm⁻¹
Penetration depth δ = λ/(2πk)
28.7424 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-4.97386 µm⁻¹
Group index ng
3.73148
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): Ordal et al. 1985: n,k 0.517–55.6 µm
cu = ls.fetch_refractiveindex("main", "Cu", "Ordal", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cu.range_nm)  # (517, 55600) nm
eps = cu.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.

References

M. A. Ordal, R. J. Bell, R. W. Alexander, L. L. Long, M. R. Querry. Optical properties of fourteen metals in the infrared and far infrared: Al, Co, Cu, Au, Fe, Pb, Mo, Ni, Pd, Pt, Ag, Ti, V, and W. Appl. Opt. 24, 4493-4499 (1985)
  • doi:10.1364/ao.24.004493 Optical properties of fourteen metals in the infrared and far infrared: Al, Co, Cu, Au, Fe, Pb, Mo, Ni, Pd, Pt, Ag, Ti, V, and W, Applied Optics (1985)

Cite

M. A. Ordal, Robert J. Bell, R. W. Alexander, L. L. Long and M. R. Querry. Optical properties of fourteen metals in the infrared and far infrared: Al, Co, Cu, Au, Fe, Pb, Mo, Ni, Pd, Pt, Ag, Ti, V, and W. Applied Optics, 24, 4493 (1985), doi:10.1364/ao.24.004493; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

56 rows as published
Cu (Copper), Ordal et al. 1985: n,k 0.517–55.6 µm: n and k versus wavelength
λ (µm)nk
0.5171.162.64
0.670.3993.97
1.00.5386.53
1.110.577.32
1.250.628.31
1.430.6999.53
1.670.81611.2
2.00.87913.4
2.110.94214.2
2.221.014.9
2.351.0915.8
2.51.1816.8
2.671.3117.9
2.861.4619.1
3.081.6220.6
3.331.7722.3
3.641.9824.2
4.02.2526.5
4.442.5828.8
5.03.2633.0
5.263.4534.5
5.563.6536.3
5.883.8438.3
6.254.1640.7
6.674.5743.3
7.145.146.2
7.695.7449.5
8.336.4353.2
9.097.2157.7
10.08.3163.0
10.59.065.9
11.19.7769.1
11.810.572.6
12.511.476.5
13.312.280.8
14.313.285.6
15.413.891.1
16.714.797.7
18.215.4105.0
20.016.2115.0
20.816.8120.0
21.717.0124.0
22.717.7130.0
23.818.4136.0
25.019.1142.0
26.319.5150.0
27.821.0158.0
29.422.1167.0
31.323.4178.0
33.325.7190.0
35.728.5203.0
38.531.9219.0
41.736.2238.0
45.540.9258.0
50.050.0284.0
55.661.2313.0

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
—