Optical constants
Refractive index of AgBr (Silver bromide)
Schröter 1931: n 0.495–0.67 µm
- Data
- formula 8
- Range
- 0.495–0.67 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.25793
- Extinction coefficient k
- 0
- Permittivity ε1
- 5.09826
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.406612 µm⁻¹
- Group index ng
- 2.49686
- Group velocity dispersion
- 1048.41 fs²/mm
- Dispersion parameter D
- -5719.64 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
# AgBr (Silver bromide): Schröter 1931: n 0.495–0.67 µm
agbr = ls.fetch_refractiveindex("main", "AgBr", "Schröter", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(agbr.range_nm) # (495, 670) nm
eps = agbr.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_bfbd20f69cd6/lightsmith"
agbr = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(agbr.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (agbr/schroter-1931).
# ... load agbr as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=agbr)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=495, stop_nm=670, 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.
Dispersion formula
Retro (formula 8), λ in µmValid from 0.495 to 0.67 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.452505 |
| C2 | 0.09939 |
| C3 | 0.070537 |
| C4 | -0.00015 |
References
- doi:10.1007/bf01391040 �ber die Brechungsindizes einiger Schwermetallhalogenide im Sichtbaren und die Berechnung von Interpolationsformeln f�r den Dispersionsverlauf, Zeitschrift f�r Physik (1931)
Cite
H. Schr�ter. �ber die Brechungsindizes einiger Schwermetallhalogenide im Sichtbaren und die Berechnung von Interpolationsformeln f�r den Dispersionsverlauf. Zeitschrift f�r Physik, 67, 24-36 (1931), doi:10.1007/bf01391040; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
Computed on 400 wavelengths, the same grid as the API and the library| λ (µm) | n |
|---|---|
| 0.495 | 2.313786 |
| 0.495376 | 2.313452 |
| 0.495752 | 2.31312 |
| 0.496128 | 2.312789 |
| 0.496505 | 2.312459 |
| 0.496881 | 2.31213 |
| 0.497258 | 2.311801 |
| 0.497636 | 2.311474 |
| 0.498014 | 2.311148 |
| 0.498392 | 2.310823 |
| 0.49877 | 2.310498 |
| 0.499148 | 2.310175 |
| 0.499527 | 2.309853 |
| 0.499906 | 2.309531 |
| 0.500286 | 2.309211 |
| 0.500665 | 2.308891 |
| 0.501045 | 2.308573 |
| 0.501426 | 2.308255 |
| 0.501806 | 2.307938 |
| 0.502187 | 2.307623 |
| 0.502568 | 2.307308 |
| 0.50295 | 2.306994 |
| 0.503332 | 2.306681 |
| 0.503714 | 2.306369 |
| 0.504096 | 2.306058 |
| 0.504478 | 2.305747 |
| 0.504861 | 2.305438 |
| 0.505245 | 2.30513 |
| 0.505628 | 2.304822 |
| 0.506012 | 2.304516 |
| 0.506396 | 2.30421 |
| 0.50678 | 2.303905 |
| 0.507165 | 2.303601 |
| 0.50755 | 2.303298 |
| 0.507935 | 2.302996 |
| 0.50832 | 2.302695 |
| 0.508706 | 2.302394 |
| 0.509092 | 2.302095 |
| 0.509479 | 2.301796 |
| 0.509865 | 2.301498 |
| 0.510252 | 2.301201 |
| 0.51064 | 2.300905 |
| 0.511027 | 2.30061 |
| 0.511415 | 2.300315 |
| 0.511803 | 2.300022 |
| 0.512192 | 2.299729 |
| 0.512581 | 2.299437 |
| 0.51297 | 2.299146 |
| 0.513359 | 2.298856 |
| 0.513749 | 2.298566 |
| 0.514138 | 2.298278 |
| 0.514529 | 2.29799 |
| 0.514919 | 2.297703 |
| 0.51531 | 2.297417 |
| 0.515701 | 2.297132 |
| 0.516093 | 2.296847 |
| 0.516484 | 2.296564 |
| 0.516876 | 2.296281 |
| 0.517269 | 2.295999 |
| 0.517661 | 2.295718 |
| 0.518054 | 2.295437 |
| 0.518447 | 2.295157 |
| 0.518841 | 2.294879 |
| 0.519235 | 2.2946 |
| 0.519629 | 2.294323 |
| 0.520023 | 2.294047 |
| 0.520418 | 2.293771 |
| 0.520813 | 2.293496 |
| 0.521208 | 2.293222 |
| 0.521604 | 2.292948 |
| 0.521999 | 2.292676 |
| 0.522396 | 2.292404 |
| 0.522792 | 2.292132 |
| 0.523189 | 2.291862 |
| 0.523586 | 2.291592 |
| 0.523983 | 2.291323 |
| 0.524381 | 2.291055 |
| 0.524779 | 2.290788 |
| 0.525177 | 2.290521 |
| 0.525576 | 2.290255 |
| 0.525975 | 2.28999 |
| 0.526374 | 2.289726 |
| 0.526774 | 2.289462 |
| 0.527173 | 2.289199 |
| 0.527574 | 2.288937 |
| 0.527974 | 2.288675 |
| 0.528375 | 2.288414 |
| 0.528776 | 2.288154 |
| 0.529177 | 2.287895 |
| 0.529579 | 2.287636 |
| 0.529981 | 2.287378 |
| 0.530383 | 2.287121 |
| 0.530785 | 2.286864 |
| 0.531188 | 2.286609 |
| 0.531591 | 2.286353 |
| 0.531995 | 2.286099 |
| 0.532399 | 2.285845 |
| 0.532803 | 2.285592 |
| 0.533207 | 2.28534 |
| 0.533612 | 2.285088 |
| 0.534017 | 2.284837 |
| 0.534422 | 2.284587 |
| 0.534828 | 2.284337 |
| 0.535234 | 2.284088 |
| 0.53564 | 2.28384 |
| 0.536046 | 2.283592 |
| 0.536453 | 2.283345 |
| 0.536861 | 2.283099 |
| 0.537268 | 2.282853 |
| 0.537676 | 2.282608 |
| 0.538084 | 2.282364 |
| 0.538492 | 2.28212 |
| 0.538901 | 2.281877 |
| 0.53931 | 2.281635 |
| 0.539719 | 2.281393 |
| 0.540129 | 2.281152 |
| 0.540539 | 2.280912 |
| 0.540949 | 2.280672 |
| 0.54136 | 2.280433 |
| 0.541771 | 2.280194 |
| 0.542182 | 2.279956 |
| 0.542593 | 2.279719 |
| 0.543005 | 2.279483 |
| 0.543417 | 2.279247 |
| 0.54383 | 2.279011 |
| 0.544242 | 2.278777 |
| 0.544656 | 2.278543 |
| 0.545069 | 2.278309 |
| 0.545483 | 2.278076 |
| 0.545897 | 2.277844 |
| 0.546311 | 2.277612 |
| 0.546726 | 2.277381 |
| 0.547141 | 2.277151 |
| 0.547556 | 2.276921 |
| 0.547971 | 2.276692 |
| 0.548387 | 2.276464 |
| 0.548804 | 2.276236 |
| 0.54922 | 2.276008 |
| 0.549637 | 2.275781 |
| 0.550054 | 2.275555 |
| 0.550472 | 2.27533 |
| 0.550889 | 2.275105 |
| 0.551307 | 2.27488 |
| 0.551726 | 2.274656 |
| 0.552145 | 2.274433 |
| 0.552564 | 2.27421 |
| 0.552983 | 2.273988 |
| 0.553403 | 2.273767 |
| 0.553823 | 2.273546 |
| 0.554243 | 2.273326 |
| 0.554664 | 2.273106 |
| 0.555085 | 2.272887 |
| 0.555506 | 2.272668 |
| 0.555928 | 2.27245 |
| 0.55635 | 2.272232 |
| 0.556772 | 2.272015 |
| 0.557195 | 2.271799 |
| 0.557617 | 2.271583 |
| 0.558041 | 2.271368 |
| 0.558464 | 2.271153 |
| 0.558888 | 2.270939 |
| 0.559312 | 2.270725 |
| 0.559737 | 2.270512 |
| 0.560162 | 2.2703 |
| 0.560587 | 2.270088 |
| 0.561012 | 2.269876 |
| 0.561438 | 2.269666 |
| 0.561864 | 2.269455 |
| 0.562291 | 2.269245 |
| 0.562717 | 2.269036 |
| 0.563144 | 2.268827 |
| 0.563572 | 2.268619 |
| 0.564 | 2.268411 |
| 0.564428 | 2.268204 |
| 0.564856 | 2.267998 |
| 0.565285 | 2.267792 |
| 0.565714 | 2.267586 |
| 0.566143 | 2.267381 |
| 0.566573 | 2.267176 |
| 0.567003 | 2.266972 |
| 0.567433 | 2.266769 |
| 0.567864 | 2.266566 |
| 0.568295 | 2.266363 |
| 0.568726 | 2.266161 |
| 0.569158 | 2.26596 |
| 0.56959 | 2.265759 |
| 0.570022 | 2.265559 |
| 0.570455 | 2.265359 |
| 0.570888 | 2.265159 |
| 0.571321 | 2.26496 |
| 0.571755 | 2.264762 |
| 0.572189 | 2.264564 |
| 0.572623 | 2.264367 |
| 0.573058 | 2.26417 |
| 0.573493 | 2.263973 |
| 0.573928 | 2.263777 |
| 0.574363 | 2.263582 |
| 0.574799 | 2.263387 |
| 0.575236 | 2.263192 |
| 0.575672 | 2.262998 |
| 0.576109 | 2.262805 |
| 0.576546 | 2.262612 |
| 0.576984 | 2.262419 |
| 0.577422 | 2.262227 |
| 0.57786 | 2.262035 |
| 0.578299 | 2.261844 |
| 0.578738 | 2.261654 |
| 0.579177 | 2.261463 |
| 0.579616 | 2.261274 |
| 0.580056 | 2.261084 |
| 0.580497 | 2.260896 |
| 0.580937 | 2.260707 |
| 0.581378 | 2.260519 |
| 0.581819 | 2.260332 |
| 0.582261 | 2.260145 |
| 0.582703 | 2.259959 |
| 0.583145 | 2.259773 |
| 0.583588 | 2.259587 |
| 0.584031 | 2.259402 |
| 0.584474 | 2.259217 |
| 0.584918 | 2.259033 |
| 0.585362 | 2.258849 |
| 0.585806 | 2.258666 |
| 0.58625 | 2.258483 |
| 0.586695 | 2.258301 |
| 0.587141 | 2.258119 |
| 0.587586 | 2.257937 |
| 0.588032 | 2.257756 |
| 0.588479 | 2.257576 |
| 0.588925 | 2.257396 |
| 0.589372 | 2.257216 |
| 0.58982 | 2.257036 |
| 0.590267 | 2.256858 |
| 0.590715 | 2.256679 |
| 0.591164 | 2.256501 |
| 0.591612 | 2.256324 |
| 0.592061 | 2.256146 |
| 0.592511 | 2.25597 |
| 0.59296 | 2.255793 |
| 0.59341 | 2.255618 |
| 0.593861 | 2.255442 |
| 0.594312 | 2.255267 |
| 0.594763 | 2.255093 |
| 0.595214 | 2.254918 |
| 0.595666 | 2.254745 |
| 0.596118 | 2.254571 |
| 0.59657 | 2.254398 |
| 0.597023 | 2.254226 |
| 0.597476 | 2.254054 |
| 0.59793 | 2.253882 |
| 0.598384 | 2.253711 |
| 0.598838 | 2.25354 |
| 0.599292 | 2.25337 |
| 0.599747 | 2.253199 |
| 0.600202 | 2.25303 |
| 0.600658 | 2.252861 |
| 0.601114 | 2.252692 |
| 0.60157 | 2.252523 |
| 0.602027 | 2.252355 |
| 0.602483 | 2.252188 |
| 0.602941 | 2.25202 |
| 0.603398 | 2.251854 |
| 0.603856 | 2.251687 |
| 0.604315 | 2.251521 |
| 0.604773 | 2.251356 |
| 0.605232 | 2.25119 |
| 0.605692 | 2.251025 |
| 0.606151 | 2.250861 |
| 0.606611 | 2.250697 |
| 0.607072 | 2.250533 |
| 0.607533 | 2.25037 |
| 0.607994 | 2.250207 |
| 0.608455 | 2.250044 |
| 0.608917 | 2.249882 |
| 0.609379 | 2.249721 |
| 0.609842 | 2.249559 |
| 0.610305 | 2.249398 |
| 0.610768 | 2.249238 |
| 0.611231 | 2.249077 |
| 0.611695 | 2.248917 |
| 0.612159 | 2.248758 |
| 0.612624 | 2.248599 |
| 0.613089 | 2.24844 |
| 0.613554 | 2.248282 |
| 0.61402 | 2.248124 |
| 0.614486 | 2.247966 |
| 0.614952 | 2.247809 |
| 0.615419 | 2.247652 |
| 0.615886 | 2.247495 |
| 0.616354 | 2.247339 |
| 0.616822 | 2.247183 |
| 0.61729 | 2.247028 |
| 0.617758 | 2.246873 |
| 0.618227 | 2.246718 |
| 0.618696 | 2.246564 |
| 0.619166 | 2.24641 |
| 0.619636 | 2.246256 |
| 0.620106 | 2.246103 |
| 0.620577 | 2.24595 |
| 0.621048 | 2.245797 |
| 0.621519 | 2.245645 |
| 0.621991 | 2.245493 |
| 0.622463 | 2.245341 |
| 0.622935 | 2.24519 |
| 0.623408 | 2.245039 |
| 0.623881 | 2.244889 |
| 0.624355 | 2.244739 |
| 0.624829 | 2.244589 |
| 0.625303 | 2.24444 |
| 0.625778 | 2.24429 |
| 0.626253 | 2.244142 |
| 0.626728 | 2.243993 |
| 0.627204 | 2.243845 |
| 0.62768 | 2.243697 |
| 0.628156 | 2.24355 |
| 0.628633 | 2.243403 |
| 0.62911 | 2.243256 |
| 0.629587 | 2.24311 |
| 0.630065 | 2.242964 |
| 0.630543 | 2.242818 |
| 0.631022 | 2.242673 |
| 0.631501 | 2.242528 |
| 0.63198 | 2.242383 |
| 0.63246 | 2.242238 |
| 0.63294 | 2.242094 |
| 0.63342 | 2.241951 |
| 0.633901 | 2.241807 |
| 0.634382 | 2.241664 |
| 0.634864 | 2.241521 |
| 0.635346 | 2.241379 |
| 0.635828 | 2.241237 |
| 0.63631 | 2.241095 |
| 0.636793 | 2.240953 |
| 0.637277 | 2.240812 |
| 0.63776 | 2.240671 |
| 0.638244 | 2.240531 |
| 0.638729 | 2.240391 |
| 0.639214 | 2.240251 |
| 0.639699 | 2.240111 |
| 0.640184 | 2.239972 |
| 0.64067 | 2.239833 |
| 0.641156 | 2.239694 |
| 0.641643 | 2.239556 |
| 0.64213 | 2.239418 |
| 0.642617 | 2.23928 |
| 0.643105 | 2.239143 |
| 0.643593 | 2.239006 |
| 0.644082 | 2.238869 |
| 0.64457 | 2.238733 |
| 0.64506 | 2.238596 |
| 0.645549 | 2.238461 |
| 0.646039 | 2.238325 |
| 0.64653 | 2.23819 |
| 0.64702 | 2.238055 |
| 0.647511 | 2.23792 |
| 0.648003 | 2.237786 |
| 0.648495 | 2.237652 |
| 0.648987 | 2.237518 |
| 0.649479 | 2.237385 |
| 0.649972 | 2.237251 |
| 0.650466 | 2.237119 |
| 0.650959 | 2.236986 |
| 0.651453 | 2.236854 |
| 0.651948 | 2.236722 |
| 0.652443 | 2.23659 |
| 0.652938 | 2.236459 |
| 0.653433 | 2.236328 |
| 0.653929 | 2.236197 |
| 0.654426 | 2.236066 |
| 0.654922 | 2.235936 |
| 0.65542 | 2.235806 |
| 0.655917 | 2.235676 |
| 0.656415 | 2.235547 |
| 0.656913 | 2.235418 |
| 0.657412 | 2.235289 |
| 0.657911 | 2.235161 |
| 0.65841 | 2.235032 |
| 0.65891 | 2.234904 |
| 0.65941 | 2.234777 |
| 0.65991 | 2.234649 |
| 0.660411 | 2.234522 |
| 0.660912 | 2.234395 |
| 0.661414 | 2.234269 |
| 0.661916 | 2.234143 |
| 0.662418 | 2.234017 |
| 0.662921 | 2.233891 |
| 0.663424 | 2.233765 |
| 0.663928 | 2.23364 |
| 0.664432 | 2.233515 |
| 0.664936 | 2.233391 |
| 0.665441 | 2.233266 |
| 0.665946 | 2.233142 |
| 0.666451 | 2.233018 |
| 0.666957 | 2.232895 |
| 0.667463 | 2.232772 |
| 0.66797 | 2.232649 |
| 0.668477 | 2.232526 |
| 0.668984 | 2.232403 |
| 0.669492 | 2.232281 |
| 0.67 | 2.232159 |
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
- —