Optical constants

Refractive index of AgBr (Silver bromide)

Polyanskiy et al. 2024: n 0.495–12.7 µm

Data: formula 1
Range: 0.495–12.7 µm
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.25767
Extinction coefficient k: 0

Permittivity ε₁: 5.09708
Permittivity ε₂: 0

Absorption coefficient α: 0 cm⁻¹
Penetration depth δ = λ/(2πk): — nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.39722 µm⁻¹

Group index n_g: 2.49108
Group velocity dispersion: 1116.89 fs²/mm

Dispersion parameter D: -6093.2 ps/(nm·km)
Photon energy: 2.11001 eV

ε = (n + ik)², α = 4πk/λ, n_g = 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): Polyanskiy et al. 2024: n 0.495–12.7 µm
agbr = ls.fetch_refractiveindex("main", "AgBr", "Polyanskiy", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(agbr.range_nm)  # (495, 12700) 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_bfe31036a3d2/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/polyanskiy-2024).

# ... 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=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"]).

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_bfe31036a3d2/lightsmith?model=drude_lorentz"
agbr_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))

A dispersive Drude–Lorentz model for time-domain solvers.

Materials guide Open a sphere of it in Studio Quick start Ask the community

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

Sellmeier (formula 1), λ in µm

n^{2} - 1 = 2.86 + \frac{0.8677 λ^{2}}{λ^{2} - {0.32112}^{2}} + \frac{21.61 λ^{2}}{λ^{2} - {254.2}^{2}}

Valid from 0.495 to 12.7 µm.

Coefficients as stored

C_i	Value
C1	2.86
C2	0.8677
C3	0.32112
C4	21.61
C5	254.2

References

M. N. Polyanskiy, I. V. Pogorelsky, M. Babzien, K. L. Vodopyanov, M. A. Palmer. Nonlinear refraction and absorption properties of optical materials for high-peak-power long-wave-infrared lasers. Opt. Mater. Express 14, 696–714 (2024)
(fit of data from Schröter-1931 and McCarthy-1973)

doi:10.1364/ome.513971 Nonlinear refraction and absorption properties of optical materials for high-peak-power long-wave-infrared lasers, Optical Materials Express (2024)
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)
doi:10.1364/ao.12.000409 Refractive Index Measurements of Silver Bromide in the Infrared, Applied Optics (1973)

Cite

Mikhail N. Polyanskiy, Igor V. Pogorelsky, Marcus Babzien, Konstantin L. Vodopyanov and Mark A. Palmer. Nonlinear refraction and absorption properties of optical materials for high-peak-power long-wave-infrared lasers. Optical Materials Express, 14, 696 (2024), doi:10.1364/ome.513971; 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

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

AgBr (Silver bromide), Polyanskiy et al. 2024: n 0.495–12.7 µm: n and k versus wavelength
λ (µm)	n
0.495	2.314766
0.499042	2.311012
0.503117	2.307398
0.507225	2.303915
0.511367	2.300557
0.515542	2.297318
0.519752	2.294191
0.523996	2.291173
0.528275	2.288256
0.532588	2.285438
0.536937	2.282712
0.541322	2.280076
0.545742	2.277525
0.550198	2.275055
0.554691	2.272662
0.55922	2.270345
0.563786	2.268098
0.56839	2.26592
0.573031	2.263807
0.57771	2.261758
0.582427	2.259769
0.587183	2.257837
0.591978	2.255962
0.596812	2.25414
0.601685	2.25237
0.606598	2.250649
0.611551	2.248976
0.616545	2.247349
0.621579	2.245767
0.626654	2.244227
0.631771	2.242729
0.63693	2.24127
0.642131	2.23985
0.647374	2.238467
0.65266	2.237119
0.65799	2.235807
0.663363	2.234527
0.668779	2.233281
0.67424	2.232065
0.679746	2.23088
0.685296	2.229724
0.690892	2.228597
0.696533	2.227497
0.702221	2.226424
0.707955	2.225376
0.713736	2.224354
0.719564	2.223356
0.725439	2.222381
0.731363	2.22143
0.737335	2.2205
0.743355	2.219592
0.749425	2.218705
0.755545	2.217838
0.761714	2.216991
0.767934	2.216163
0.774204	2.215354
0.780526	2.214563
0.7869	2.213789
0.793325	2.213033
0.799803	2.212293
0.806334	2.21157
0.812918	2.210862
0.819556	2.21017
0.826248	2.209492
0.832994	2.208829
0.839796	2.20818
0.846653	2.207545
0.853567	2.206924
0.860537	2.206315
0.867563	2.20572
0.874647	2.205136
0.881789	2.204565
0.88899	2.204006
0.896249	2.203458
0.903567	2.202922
0.910945	2.202396
0.918383	2.201881
0.925882	2.201377
0.933443	2.200882
0.941065	2.200398
0.948749	2.199924
0.956496	2.199458
0.964306	2.199003
0.97218	2.198556
0.980118	2.198118
0.988122	2.197688
0.99619	2.197267
1.00432	2.196855
1.01253	2.19645
1.02079	2.196053
1.02913	2.195664
1.03753	2.195282
1.046	2.194908
1.05454	2.194541
1.06316	2.194181
1.07184	2.193828
1.08059	2.193481
1.08941	2.193141
1.09831	2.192808
1.10728	2.19248
1.11632	2.192159
1.12543	2.191844
1.13462	2.191535
1.14389	2.191231
1.15323	2.190933
1.16264	2.190641
1.17214	2.190354
1.18171	2.190072
1.19136	2.189796
1.20109	2.189524
1.21089	2.189258
1.22078	2.188996
1.23075	2.188739
1.2408	2.188487
1.25093	2.188239
1.26115	2.187996
1.27144	2.187757
1.28183	2.187522
1.29229	2.187292
1.30284	2.187065
1.31348	2.186843
1.32421	2.186625
1.33502	2.18641
1.34592	2.1862
1.35691	2.185993
1.36799	2.185789
1.37916	2.185589
1.39042	2.185393
1.40178	2.1852
1.41322	2.185011
1.42476	2.184824
1.4364	2.184641
1.44813	2.184462
1.45995	2.184285
1.47187	2.184111
1.48389	2.18394
1.49601	2.183772
1.50822	2.183607
1.52054	2.183445
1.53295	2.183286
1.54547	2.183129
1.55809	2.182975
1.57081	2.182824
1.58364	2.182675
1.59657	2.182528
1.60961	2.182384
1.62275	2.182242
1.636	2.182103
1.64936	2.181966
1.66283	2.181832
1.67641	2.181699
1.69009	2.181569
1.70389	2.181441
1.71781	2.181314
1.73183	2.18119
1.74598	2.181068
1.76023	2.180948
1.77461	2.18083
1.7891	2.180714
1.80371	2.1806
1.81843	2.180487
1.83328	2.180376
1.84825	2.180267
1.86334	2.18016
1.87856	2.180054
1.8939	2.179951
1.90936	2.179848
1.92495	2.179747
1.94067	2.179648
1.95652	2.179551
1.97249	2.179455
1.9886	2.17936
2.00484	2.179267
2.02121	2.179175
2.03771	2.179084
2.05435	2.178995
2.07113	2.178908
2.08804	2.178821
2.10509	2.178736
2.12228	2.178652
2.13961	2.178569
2.15708	2.178488
2.17469	2.178408
2.19245	2.178328
2.21035	2.17825
2.2284	2.178173
2.2466	2.178098
2.26494	2.178023
2.28343	2.177949
2.30208	2.177877
2.32088	2.177805
2.33983	2.177734
2.35893	2.177664
2.3782	2.177596
2.39761	2.177528
2.41719	2.177461
2.43693	2.177394
2.45683	2.177329
2.47689	2.177265
2.49712	2.177201
2.51751	2.177138
2.53806	2.177076
2.55879	2.177015
2.57968	2.176955
2.60074	2.176895
2.62198	2.176836
2.64339	2.176777
2.66498	2.17672
2.68674	2.176663
2.70867	2.176606
2.73079	2.176551
2.75309	2.176495
2.77557	2.176441
2.79823	2.176387
2.82108	2.176334
2.84412	2.176281
2.86734	2.176229
2.89076	2.176177
2.91436	2.176126
2.93816	2.176075
2.96215	2.176025
2.98634	2.175975
3.01072	2.175926
3.03531	2.175877
3.06009	2.175828
3.08508	2.17578
3.11027	2.175733
3.13567	2.175686
3.16127	2.175639
3.18708	2.175592
3.21311	2.175546
3.23934	2.1755
3.26579	2.175455
3.29246	2.17541
3.31935	2.175365
3.34645	2.17532
3.37377	2.175276
3.40132	2.175232
3.4291	2.175188
3.4571	2.175145
3.48533	2.175101
3.51379	2.175058
3.54248	2.175015
3.5714	2.174973
3.60057	2.17493
3.62997	2.174888
3.65961	2.174845
3.68949	2.174803
3.71962	2.174762
3.74999	2.17472
3.78061	2.174678
3.81148	2.174636
3.8426	2.174595
3.87398	2.174554
3.90561	2.174512
3.9375	2.174471
3.96965	2.17443
4.00207	2.174388
4.03475	2.174347
4.06769	2.174306
4.10091	2.174265
4.13439	2.174224
4.16815	2.174182
4.20219	2.174141
4.2365	2.1741
4.27109	2.174058
4.30597	2.174017
4.34113	2.173976
4.37658	2.173934
4.41231	2.173892
4.44834	2.17385
4.48467	2.173809
4.52128	2.173766
4.5582	2.173724
4.59542	2.173682
4.63295	2.173639
4.67078	2.173597
4.70892	2.173554
4.74737	2.173511
4.78613	2.173467
4.82521	2.173424
4.86461	2.17338
4.90433	2.173336
4.94438	2.173292
4.98475	2.173247
5.02546	2.173202
5.06649	2.173157
5.10786	2.173112
5.14957	2.173066
5.19162	2.17302
5.23401	2.172973
5.27675	2.172926
5.31984	2.172879
5.36328	2.172832
5.40707	2.172784
5.45122	2.172735
5.49573	2.172687
5.54061	2.172637
5.58585	2.172588
5.63146	2.172538
5.67745	2.172487
5.7238	2.172436
5.77054	2.172384
5.81766	2.172332
5.86517	2.17228
5.91306	2.172226
5.96134	2.172173
6.01002	2.172118
6.05909	2.172063
6.10857	2.172008
6.15845	2.171952
6.20873	2.171895
6.25943	2.171838
6.31054	2.17178
6.36207	2.171721
6.41402	2.171661
6.46639	2.171601
6.5192	2.17154
6.57243	2.171479
6.62609	2.171416
6.6802	2.171353
6.73475	2.171289
6.78974	2.171225
6.84518	2.171159
6.90108	2.171093
6.95743	2.171026
7.01424	2.170957
7.07151	2.170888
7.12925	2.170818
7.18747	2.170748
7.24616	2.170676
7.30533	2.170603
7.36498	2.170529
7.42512	2.170454
7.48575	2.170379
7.54687	2.170302
7.60849	2.170224
7.67062	2.170145
7.73326	2.170065
7.7964	2.169983
7.86006	2.169901
7.92424	2.169817
7.98895	2.169732
8.05418	2.169646
8.11995	2.169559
8.18625	2.169471
8.2531	2.169381
8.32049	2.169289
8.38843	2.169197
8.45692	2.169103
8.52598	2.169008
8.5956	2.168911
8.66578	2.168813
8.73655	2.168713
8.80788	2.168612
8.8798	2.16851
8.95231	2.168405
9.02541	2.1683
9.09911	2.168192
9.17341	2.168083
9.24831	2.167973
9.32383	2.16786
9.39996	2.167746
9.47672	2.16763
9.5541	2.167513
9.63211	2.167393
9.71077	2.167272
9.79006	2.167149
9.87	2.167024
9.95059	2.166897
10.0318	2.166767
10.1138	2.166636
10.1963	2.166503
10.2796	2.166368
10.3635	2.166231
10.4482	2.166091
10.5335	2.165949
10.6195	2.165806
10.7062	2.165659
10.7936	2.165511
10.8818	2.16536
10.9706	2.165206
11.0602	2.165051
11.1505	2.164892
11.2416	2.164732
11.3333	2.164568
11.4259	2.164402
11.5192	2.164234
11.6132	2.164062
11.7081	2.163888
11.8037	2.163711
11.9001	2.163532
11.9972	2.163349
12.0952	2.163163
12.194	2.162975
12.2935	2.162783
12.3939	2.162589
12.4951	2.162391
12.5971	2.16219
12.7	2.161985

Optical transmission calculator

Free-standing sample in vacuum, normal incidence

Transmittance T: —
Reflectance R: —

Fresnel reflection calculator

R_p: —
R_s: —
R = (R_p+R_s)/2: —
Phase φ_p: —
Phase φ_s: —
Brewster angle θ_B: —
Critical angle θ_C: —

AgBr (Silver bromide): all datasets

About AgBr (Silver bromide)

AgBr, or silver bromide, is an inorganic compound that has been extensively studied for its photo-sensitive properties. This ionic material forms a face-centered cubic crystal structure and exhibits a direct bandgap, making it an effective absorber of photons. Historically, AgBr has been a key material in traditional photographic films, where exposure to light leads to the reduction of the material and the formation of elemental silver, thereby creating a visible image. In the realm of modern technology, AgBr is being explored for its utility in optoelectronic devices, such as photodetectors and solar cells. Its wide bandgap and high refractive index make it suitable for applications requiring spectral selectivity and efficient light-matter interactions. However, it is sensitive to environmental factors like humidity and needs to be carefully encapsulated or treated to maintain its optical characteristics. In addition to its bulk form, AgBr nanostructures have also been studied for their unique optical and catalytic properties. Overall, AgBr continues to be a material of significant interest in both historical and emerging technologies, thanks to its unique photo-responsive behavior and optoelectronic properties.

More about AgBr (Silver bromide) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/AgBr/nk/Polyanskiy.yml
ID: ds_bfe31036a3d2
API: /v1/datasets/ds_bfe31036a3d2

Plot