Optical constants
Refractive index of B (Boron)
Morita and Yamamoto 1975: n,k 0.350–0.975 µm
- Data
- tabulated nk
- Range
- 0.35–0.975 µm
- Points
- 12
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 3.17614
- Extinction coefficient k
- 0.239888
- Permittivity ε1
- 10.0303
- Permittivity ε2
- 1.52384
- Absorption coefficient α
- 51302.3 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 389.846 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -1.06 µm⁻¹
- Group index ng
- 3.799
- 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
# B (Boron): Morita and Yamamoto 1975: n,k 0.350–0.975 µm
b = ls.fetch_refractiveindex("main", "B", "Morita", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(b.range_nm) # (350, 975) nm
eps = b.eps([633]) # complex permittivityDownloads 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_5c32a21ea682/lightsmith"
b = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(b.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (b/morita-yamamoto-1975).
# ... load b as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=b)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=975, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelengthSame 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.
References
- doi:10.1143/jjap.14.825 Optical and Electrical Properties of Boron, Japanese Journal of Applied Physics (1975)
Cite
Nobuyoshi Morita and Akira Yamamoto. Optical and Electrical Properties of Boron. Japanese Journal of Applied Physics, 14, 825-832 (1975), doi:10.1143/jjap.14.825; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
12 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.35 | 3.314 | 0.79 |
| 0.4 | 3.358 | 0.621 |
| 0.45 | 3.313 | 0.452 |
| 0.5 | 3.261 | 0.367 |
| 0.55 | 3.216 | 0.282 |
| 0.6 | 3.163 | 0.226 |
| 0.65 | 3.149 | 0.16 |
| 0.7 | 3.1 | 0.153 |
| 0.75 | 3.056 | 0.117 |
| 0.825 | 3.023 | 0.101 |
| 0.9 | 3.016 | 0.091 |
| 0.975 | 3.01 | 0.089 |
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
- —