Optical constants
Refractive index of Au (Gold)
Rosenblatt et al. 2020: 11-nm film; n,k 0.25–2.0 µm
- Data
- tabulated nk
- Range
- 0.3–2 µm
- Points
- 171
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 0.439751
- Extinction coefficient k
- 3.08102
- Permittivity ε1
- -9.2993
- Permittivity ε2
- 2.70976
- Absorption coefficient α
- 658905 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 30.3534 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 2.93101 µm⁻¹
- Group index ng
- -1.28251
- 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
# Au (Gold): Rosenblatt et al. 2020: 11-nm film; n,k 0.25–2.0 µm
au = ls.fetch_refractiveindex("main", "Au", "Rosenblatt-11nm", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(au.range_nm) # (300, 2000) nm
eps = au.eps([633]) # complex permittivity
Downloads the original record once (pinned to the imported snapshot) and caches it.
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_0e576580dba1/lightsmith"
au = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(au.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (au/rosenblatt-2020-11nm).
# ... load au as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=au)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=1000, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelength
Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).
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
Conditions
- film thickness
- 11e-9
- substrate
- SiO2
References
- doi:10.1103/physrevx.10.011071 Nonmodal Plasmonics: Controlling the Forced Optical Response of Nanostructures, Physical Review X (2020)
Cite
Gilad Rosenblatt, Boris Simkhovich, Guy Bartal and Meir Orenstein. Nonmodal Plasmonics: Controlling the Forced Optical Response of Nanostructures. Physical Review X, 10, 011071 (2020), doi:10.1103/physrevx.10.011071; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
171 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.3 | 1.03265225 | 1.47591683 |
| 0.31 | 1.08524054 | 1.46229826 |
| 0.32 | 1.08354504 | 1.45253483 |
| 0.33 | 1.05574178 | 1.47554626 |
| 0.34 | 1.0324614 | 1.52804546 |
| 0.35 | 1.02569812 | 1.59251762 |
| 0.36 | 1.03313948 | 1.65582869 |
| 0.37 | 1.04905367 | 1.71258044 |
| 0.38 | 1.06909806 | 1.76149586 |
| 0.39 | 1.09062279 | 1.80248321 |
| 0.4 | 1.11186152 | 1.8354667 |
| 0.41 | 1.13125601 | 1.86013157 |
| 0.42 | 1.14702794 | 1.87598198 |
| 0.43 | 1.15687699 | 1.8825106 |
| 0.44 | 1.15772094 | 1.87947468 |
| 0.45 | 1.14547046 | 1.86735364 |
| 0.46 | 1.11492898 | 1.84810471 |
| 0.47 | 1.06007827 | 1.82633726 |
| 0.48 | 0.975326527 | 1.81087472 |
| 0.49 | 0.85869012 | 1.81597106 |
| 0.5 | 0.71733771 | 1.85960044 |
| 0.51 | 0.57163386 | 1.95507331 |
| 0.52 | 0.448713039 | 2.0997243 |
| 0.53 | 0.367667386 | 2.27488676 |
| 0.54 | 0.333143144 | 2.4573873 |
| 0.55 | 0.340122601 | 2.62564303 |
| 0.56 | 0.363549768 | 2.76461828 |
| 0.57 | 0.38959492 | 2.88783698 |
| 0.58 | 0.417474836 | 3.00088513 |
| 0.59 | 0.446784921 | 3.10632491 |
| 0.6 | 0.477248056 | 3.20564914 |
| 0.61 | 0.508647675 | 3.29982985 |
| 0.62 | 0.540801625 | 3.3895475 |
| 0.63 | 0.573550125 | 3.47530492 |
| 0.64 | 0.606749649 | 3.5574904 |
| 0.65 | 0.640269581 | 3.63641514 |
| 0.66 | 0.673990285 | 3.71233665 |
| 0.67 | 0.707801903 | 3.785474 |
| 0.68 | 0.741603555 | 3.856018 |
| 0.69 | 0.775302761 | 3.92413821 |
| 0.7 | 0.808814977 | 3.98998782 |
| 0.71 | 0.842063186 | 4.05370708 |
| 0.72 | 0.874977536 | 4.11542586 |
| 0.73 | 0.907494981 | 4.17526541 |
| 0.74 | 0.939558931 | 4.2333397 |
| 0.75 | 0.971118912 | 4.28975641 |
| 0.76 | 1.00213022 | 4.34461768 |
| 0.77 | 1.0325536 | 4.39802063 |
| 0.78 | 1.06235487 | 4.45005786 |
| 0.79 | 1.09150467 | 4.5008177 |
| 0.8 | 1.11997807 | 4.55038456 |
| 0.81 | 1.1477543 | 4.59883907 |
| 0.82 | 1.17481647 | 4.64625832 |
| 0.83 | 1.20115122 | 4.69271597 |
| 0.84 | 1.22674854 | 4.7382824 |
| 0.85 | 1.25160141 | 4.78302486 |
| 0.86 | 1.27570565 | 4.8270075 |
| 0.87 | 1.2990596 | 4.87029155 |
| 0.88 | 1.32166396 | 4.91293537 |
| 0.89 | 1.34352155 | 4.95499456 |
| 0.9 | 1.36463713 | 4.99652205 |
| 0.91 | 1.3850172 | 5.03756817 |
| 0.92 | 1.40466985 | 5.07818076 |
| 0.93 | 1.42360458 | 5.11840523 |
| 0.94 | 1.44183217 | 5.15828466 |
| 0.95 | 1.45936451 | 5.19785985 |
| 0.96 | 1.4762145 | 5.23716946 |
| 0.97 | 1.49239592 | 5.27625 |
| 0.98 | 1.50792331 | 5.315136 |
| 0.99 | 1.52281187 | 5.35386002 |
| 1.0 | 1.53707738 | 5.39245272 |
| 1.01 | 1.55073608 | 5.43094301 |
| 1.02 | 1.56380461 | 5.46935801 |
| 1.03 | 1.57629995 | 5.50772322 |
| 1.04 | 1.58823929 | 5.54606251 |
| 1.05 | 1.59964005 | 5.58439823 |
| 1.06 | 1.61051975 | 5.62275126 |
| 1.07 | 1.62089597 | 5.66114108 |
| 1.08 | 1.63078635 | 5.69958583 |
| 1.09 | 1.64020849 | 5.73810234 |
| 1.1 | 1.64917991 | 5.77670622 |
| 1.11 | 1.65771806 | 5.81541193 |
| 1.12 | 1.66584022 | 5.85423278 |
| 1.13 | 1.67356354 | 5.89318104 |
| 1.14 | 1.68090495 | 5.93226793 |
| 1.15 | 1.68788117 | 5.97150373 |
| 1.16 | 1.69450868 | 6.01089779 |
| 1.17 | 1.70080369 | 6.05045859 |
| 1.18 | 1.70678215 | 6.09019378 |
| 1.19 | 1.71245969 | 6.13011023 |
| 1.2 | 1.71785164 | 6.17021404 |
| 1.21 | 1.72297303 | 6.21051064 |
| 1.22 | 1.72783854 | 6.25100477 |
| 1.23 | 1.7324625 | 6.29170054 |
| 1.24 | 1.73685894 | 6.33260148 |
| 1.25 | 1.74104148 | 6.37371055 |
| 1.26 | 1.74502345 | 6.41503019 |
| 1.27 | 1.74881776 | 6.45656235 |
| 1.28 | 1.75243701 | 6.4983085 |
| 1.29 | 1.75589341 | 6.54026968 |
| 1.3 | 1.75919882 | 6.58244654 |
| 1.31 | 1.76236475 | 6.62483933 |
| 1.32 | 1.76540235 | 6.66744796 |
| 1.33 | 1.7683224 | 6.71027199 |
| 1.34 | 1.77113534 | 6.7533107 |
| 1.35 | 1.77385127 | 6.79656306 |
| 1.36 | 1.77647994 | 6.84002779 |
| 1.37 | 1.77903076 | 6.88370338 |
| 1.38 | 1.7815128 | 6.92758808 |
| 1.39 | 1.78393483 | 6.97167992 |
| 1.4 | 1.78630527 | 7.01597678 |
| 1.41 | 1.78863223 | 7.06047634 |
| 1.42 | 1.79092352 | 7.10517613 |
| 1.43 | 1.79318666 | 7.15007355 |
| 1.44 | 1.79542885 | 7.19516586 |
| 1.45 | 1.79765701 | 7.24045022 |
| 1.46 | 1.79987778 | 7.28592366 |
| 1.47 | 1.80209754 | 7.33158316 |
| 1.48 | 1.80432239 | 7.37742559 |
| 1.49 | 1.80655818 | 7.42344776 |
| 1.5 | 1.80881049 | 7.46964644 |
| 1.51 | 1.81108468 | 7.51601831 |
| 1.52 | 1.81338587 | 7.56256005 |
| 1.53 | 1.81571893 | 7.60926829 |
| 1.54 | 1.81808852 | 7.65613962 |
| 1.55 | 1.82049911 | 7.70317063 |
| 1.56 | 1.82295492 | 7.7503579 |
| 1.57 | 1.82546 | 7.79769799 |
| 1.58 | 1.82801819 | 7.84518746 |
| 1.59 | 1.83063316 | 7.89282287 |
| 1.6 | 1.83330837 | 7.94060081 |
| 1.61 | 1.83604714 | 7.98851787 |
| 1.62 | 1.8388526 | 8.03657064 |
| 1.63 | 1.84172772 | 8.08475576 |
| 1.64 | 1.84467534 | 8.13306988 |
| 1.65 | 1.84769811 | 8.18150966 |
| 1.66 | 1.85079857 | 8.23007182 |
| 1.67 | 1.8539791 | 8.27875309 |
| 1.68 | 1.85724197 | 8.32755025 |
| 1.69 | 1.8605893 | 8.3764601 |
| 1.7 | 1.8640231 | 8.42547949 |
| 1.71 | 1.86754526 | 8.47460531 |
| 1.72 | 1.87115756 | 8.52383447 |
| 1.73 | 1.87486168 | 8.57316395 |
| 1.74 | 1.87865918 | 8.62259076 |
| 1.75 | 1.88255152 | 8.67211194 |
| 1.76 | 1.8865401 | 8.72172461 |
| 1.77 | 1.89062618 | 8.77142591 |
| 1.78 | 1.89481098 | 8.82121302 |
| 1.79 | 1.89909561 | 8.87108318 |
| 1.8 | 1.90348111 | 8.92103367 |
| 1.81 | 1.90796843 | 8.97106183 |
| 1.82 | 1.91255848 | 9.02116503 |
| 1.83 | 1.91725207 | 9.07134069 |
| 1.84 | 1.92204997 | 9.12158627 |
| 1.85 | 1.92695286 | 9.17189929 |
| 1.86 | 1.93196139 | 9.22227732 |
| 1.87 | 1.93707613 | 9.27271796 |
| 1.88 | 1.94229761 | 9.32321885 |
| 1.89 | 1.94762631 | 9.37377771 |
| 1.9 | 1.95306264 | 9.42439225 |
| 1.91 | 1.958607 | 9.47506028 |
| 1.92 | 1.9642597 | 9.52577962 |
| 1.93 | 1.97002106 | 9.57654815 |
| 1.94 | 1.97589132 | 9.62736376 |
| 1.95 | 1.98187069 | 9.67822443 |
| 1.96 | 1.98795937 | 9.72912814 |
| 1.97 | 1.99415749 | 9.78007294 |
| 1.98 | 2.00046516 | 9.8310569 |
| 1.99 | 2.00688248 | 9.88207814 |
| 2.0 | 2.01340949 | 9.93313482 |
Optical transmission calculator
Free-standing sample in vacuum, normal incidence- Transmittance T
- —
- Reflectance R
- —
Fresnel reflection calculator
- Rp
- —
- Rs
- —
- R = (Rp+Rs)/2
- —
- Phase φp
- —
- Phase φs
- —
- Brewster angle θB
- —
- Critical angle θC
- —
11 nm Au film. Measured using a J.A Woollam VASE ellipsometer at room temperature.