Optical constants
Refractive index of AMTIR-3 (out of production) (AMI)
AMTIR-3 (out of production): n 3–14 µm
- Data
- formula 1
- Range
- 3–14 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.61307
- Extinction coefficient k
- 0
- Permittivity ε1
- 6.82815
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00277397 µm⁻¹
- Group index ng
- 2.63105
- Group velocity dispersion
- -12.3537 fs²/mm
- Dispersion parameter D
- 0.554174 ps/(nm·km)
- Photon energy
- 0.191334 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
# AMTIR-3 (out of production) (AMI): AMTIR-3 (out of production)
ami_amtir_3 = ls.fetch_refractiveindex("specs", "AMI-infrared", "AMTIR-3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ami_amtir_3.range_nm) # (3000, 14000) nm
eps = ami_amtir_3.eps([6480]) # 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_a54abbce6f32/lightsmith"
ami_amtir_3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ami_amtir_3.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (ami-amtir-3/ami).
# ... load ami_amtir_3 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ami_amtir_3)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=3000, stop_nm=14000, 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_a54abbce6f32/lightsmith?model=drude_lorentz"
ami_amtir_3_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))
A dispersive Drude–Lorentz model for time-domain solvers.
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 µmValid from 3.0 to 14.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.0 |
| C2 | 5.8505 |
| C3 | 0.29192 |
| C4 | 1.4536 |
| C5 | 42.714 |
Comments and conditions
- no primary reference in the source file
References
Cite
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 |
|---|---|
| 3 | 2.626637 |
| 3.0116 | 2.626543 |
| 3.02325 | 2.62645 |
| 3.03495 | 2.626358 |
| 3.04669 | 2.626266 |
| 3.05847 | 2.626175 |
| 3.0703 | 2.626085 |
| 3.08218 | 2.625995 |
| 3.0941 | 2.625905 |
| 3.10607 | 2.625816 |
| 3.11809 | 2.625728 |
| 3.13015 | 2.62564 |
| 3.14226 | 2.625552 |
| 3.15441 | 2.625465 |
| 3.16661 | 2.625379 |
| 3.17886 | 2.625293 |
| 3.19116 | 2.625207 |
| 3.2035 | 2.625122 |
| 3.2159 | 2.625037 |
| 3.22834 | 2.624953 |
| 3.24082 | 2.62487 |
| 3.25336 | 2.624787 |
| 3.26594 | 2.624704 |
| 3.27858 | 2.624621 |
| 3.29126 | 2.62454 |
| 3.30399 | 2.624458 |
| 3.31677 | 2.624377 |
| 3.3296 | 2.624297 |
| 3.34248 | 2.624217 |
| 3.35541 | 2.624137 |
| 3.36839 | 2.624058 |
| 3.38142 | 2.623979 |
| 3.3945 | 2.6239 |
| 3.40763 | 2.623822 |
| 3.42081 | 2.623744 |
| 3.43405 | 2.623667 |
| 3.44733 | 2.62359 |
| 3.46066 | 2.623514 |
| 3.47405 | 2.623437 |
| 3.48749 | 2.623362 |
| 3.50098 | 2.623286 |
| 3.51452 | 2.623211 |
| 3.52812 | 2.623136 |
| 3.54176 | 2.623062 |
| 3.55547 | 2.622988 |
| 3.56922 | 2.622914 |
| 3.58303 | 2.622841 |
| 3.59689 | 2.622768 |
| 3.6108 | 2.622695 |
| 3.62477 | 2.622623 |
| 3.63879 | 2.622551 |
| 3.65286 | 2.622479 |
| 3.66699 | 2.622407 |
| 3.68118 | 2.622336 |
| 3.69542 | 2.622265 |
| 3.70971 | 2.622195 |
| 3.72406 | 2.622125 |
| 3.73847 | 2.622055 |
| 3.75293 | 2.621985 |
| 3.76745 | 2.621916 |
| 3.78202 | 2.621846 |
| 3.79665 | 2.621778 |
| 3.81134 | 2.621709 |
| 3.82608 | 2.621641 |
| 3.84088 | 2.621573 |
| 3.85574 | 2.621505 |
| 3.87065 | 2.621437 |
| 3.88562 | 2.62137 |
| 3.90065 | 2.621303 |
| 3.91574 | 2.621236 |
| 3.93089 | 2.621169 |
| 3.9461 | 2.621103 |
| 3.96136 | 2.621037 |
| 3.97668 | 2.620971 |
| 3.99207 | 2.620905 |
| 4.00751 | 2.62084 |
| 4.02301 | 2.620774 |
| 4.03857 | 2.620709 |
| 4.05419 | 2.620644 |
| 4.06988 | 2.62058 |
| 4.08562 | 2.620515 |
| 4.10142 | 2.620451 |
| 4.11729 | 2.620387 |
| 4.13322 | 2.620323 |
| 4.1492 | 2.620259 |
| 4.16525 | 2.620195 |
| 4.18137 | 2.620132 |
| 4.19754 | 2.620069 |
| 4.21378 | 2.620005 |
| 4.23008 | 2.619943 |
| 4.24644 | 2.61988 |
| 4.26287 | 2.619817 |
| 4.27936 | 2.619755 |
| 4.29591 | 2.619692 |
| 4.31253 | 2.61963 |
| 4.32921 | 2.619568 |
| 4.34596 | 2.619506 |
| 4.36277 | 2.619444 |
| 4.37964 | 2.619382 |
| 4.39658 | 2.619321 |
| 4.41359 | 2.619259 |
| 4.43066 | 2.619198 |
| 4.4478 | 2.619137 |
| 4.46501 | 2.619075 |
| 4.48228 | 2.619014 |
| 4.49962 | 2.618953 |
| 4.51702 | 2.618893 |
| 4.5345 | 2.618832 |
| 4.55204 | 2.618771 |
| 4.56965 | 2.61871 |
| 4.58732 | 2.61865 |
| 4.60507 | 2.618589 |
| 4.62288 | 2.618529 |
| 4.64076 | 2.618469 |
| 4.65871 | 2.618408 |
| 4.67673 | 2.618348 |
| 4.69483 | 2.618288 |
| 4.71299 | 2.618228 |
| 4.73122 | 2.618168 |
| 4.74952 | 2.618108 |
| 4.76789 | 2.618048 |
| 4.78633 | 2.617988 |
| 4.80485 | 2.617928 |
| 4.82343 | 2.617868 |
| 4.84209 | 2.617808 |
| 4.86082 | 2.617748 |
| 4.87963 | 2.617688 |
| 4.8985 | 2.617629 |
| 4.91745 | 2.617569 |
| 4.93647 | 2.617509 |
| 4.95557 | 2.617449 |
| 4.97474 | 2.617389 |
| 4.99398 | 2.61733 |
| 5.0133 | 2.61727 |
| 5.03269 | 2.61721 |
| 5.05216 | 2.61715 |
| 5.0717 | 2.61709 |
| 5.09132 | 2.61703 |
| 5.11101 | 2.61697 |
| 5.13078 | 2.61691 |
| 5.15063 | 2.61685 |
| 5.17056 | 2.61679 |
| 5.19056 | 2.61673 |
| 5.21063 | 2.61667 |
| 5.23079 | 2.61661 |
| 5.25102 | 2.61655 |
| 5.27134 | 2.616489 |
| 5.29173 | 2.616429 |
| 5.3122 | 2.616369 |
| 5.33275 | 2.616308 |
| 5.35337 | 2.616248 |
| 5.37408 | 2.616187 |
| 5.39487 | 2.616126 |
| 5.41574 | 2.616065 |
| 5.43669 | 2.616004 |
| 5.45772 | 2.615943 |
| 5.47883 | 2.615882 |
| 5.50002 | 2.615821 |
| 5.5213 | 2.61576 |
| 5.54266 | 2.615699 |
| 5.5641 | 2.615637 |
| 5.58562 | 2.615575 |
| 5.60723 | 2.615514 |
| 5.62892 | 2.615452 |
| 5.65069 | 2.61539 |
| 5.67255 | 2.615328 |
| 5.69449 | 2.615265 |
| 5.71652 | 2.615203 |
| 5.73863 | 2.61514 |
| 5.76083 | 2.615078 |
| 5.78311 | 2.615015 |
| 5.80548 | 2.614952 |
| 5.82794 | 2.614889 |
| 5.85048 | 2.614825 |
| 5.87312 | 2.614762 |
| 5.89583 | 2.614698 |
| 5.91864 | 2.614634 |
| 5.94154 | 2.61457 |
| 5.96452 | 2.614506 |
| 5.98759 | 2.614441 |
| 6.01075 | 2.614377 |
| 6.034 | 2.614312 |
| 6.05734 | 2.614247 |
| 6.08078 | 2.614182 |
| 6.1043 | 2.614116 |
| 6.12791 | 2.614051 |
| 6.15161 | 2.613985 |
| 6.17541 | 2.613919 |
| 6.1993 | 2.613852 |
| 6.22328 | 2.613786 |
| 6.24735 | 2.613719 |
| 6.27152 | 2.613652 |
| 6.29578 | 2.613585 |
| 6.32013 | 2.613517 |
| 6.34458 | 2.613449 |
| 6.36912 | 2.613381 |
| 6.39376 | 2.613313 |
| 6.41849 | 2.613244 |
| 6.44332 | 2.613176 |
| 6.46824 | 2.613106 |
| 6.49326 | 2.613037 |
| 6.51838 | 2.612967 |
| 6.5436 | 2.612897 |
| 6.56891 | 2.612827 |
| 6.59432 | 2.612756 |
| 6.61983 | 2.612686 |
| 6.64543 | 2.612614 |
| 6.67114 | 2.612543 |
| 6.69694 | 2.612471 |
| 6.72285 | 2.612399 |
| 6.74885 | 2.612326 |
| 6.77496 | 2.612254 |
| 6.80117 | 2.61218 |
| 6.82748 | 2.612107 |
| 6.85389 | 2.612033 |
| 6.8804 | 2.611959 |
| 6.90701 | 2.611884 |
| 6.93373 | 2.611809 |
| 6.96055 | 2.611734 |
| 6.98748 | 2.611658 |
| 7.01451 | 2.611582 |
| 7.04164 | 2.611506 |
| 7.06888 | 2.611429 |
| 7.09622 | 2.611352 |
| 7.12367 | 2.611274 |
| 7.15123 | 2.611196 |
| 7.17889 | 2.611118 |
| 7.20666 | 2.611039 |
| 7.23454 | 2.61096 |
| 7.26252 | 2.61088 |
| 7.29062 | 2.6108 |
| 7.31882 | 2.610719 |
| 7.34713 | 2.610638 |
| 7.37555 | 2.610557 |
| 7.40408 | 2.610475 |
| 7.43272 | 2.610393 |
| 7.46147 | 2.61031 |
| 7.49033 | 2.610226 |
| 7.51931 | 2.610143 |
| 7.5484 | 2.610058 |
| 7.57759 | 2.609973 |
| 7.60691 | 2.609888 |
| 7.63633 | 2.609802 |
| 7.66587 | 2.609716 |
| 7.69552 | 2.609629 |
| 7.72529 | 2.609542 |
| 7.75517 | 2.609454 |
| 7.78517 | 2.609366 |
| 7.81529 | 2.609277 |
| 7.84552 | 2.609187 |
| 7.87587 | 2.609097 |
| 7.90633 | 2.609007 |
| 7.93692 | 2.608916 |
| 7.96762 | 2.608824 |
| 7.99844 | 2.608732 |
| 8.02938 | 2.608639 |
| 8.06044 | 2.608545 |
| 8.09162 | 2.608451 |
| 8.12292 | 2.608357 |
| 8.15434 | 2.608261 |
| 8.18588 | 2.608165 |
| 8.21755 | 2.608069 |
| 8.24934 | 2.607972 |
| 8.28125 | 2.607874 |
| 8.31328 | 2.607776 |
| 8.34544 | 2.607676 |
| 8.37772 | 2.607577 |
| 8.41013 | 2.607476 |
| 8.44266 | 2.607375 |
| 8.47532 | 2.607273 |
| 8.5081 | 2.607171 |
| 8.54101 | 2.607068 |
| 8.57405 | 2.606964 |
| 8.60722 | 2.606859 |
| 8.64051 | 2.606754 |
| 8.67393 | 2.606648 |
| 8.70749 | 2.606541 |
| 8.74117 | 2.606434 |
| 8.77498 | 2.606325 |
| 8.80893 | 2.606216 |
| 8.843 | 2.606106 |
| 8.87721 | 2.605996 |
| 8.91155 | 2.605884 |
| 8.94602 | 2.605772 |
| 8.98062 | 2.605659 |
| 9.01536 | 2.605545 |
| 9.05024 | 2.605431 |
| 9.08525 | 2.605315 |
| 9.12039 | 2.605199 |
| 9.15567 | 2.605082 |
| 9.19109 | 2.604964 |
| 9.22664 | 2.604845 |
| 9.26233 | 2.604725 |
| 9.29816 | 2.604605 |
| 9.33413 | 2.604483 |
| 9.37023 | 2.604361 |
| 9.40648 | 2.604237 |
| 9.44286 | 2.604113 |
| 9.47939 | 2.603988 |
| 9.51606 | 2.603862 |
| 9.55287 | 2.603735 |
| 9.58982 | 2.603607 |
| 9.62692 | 2.603478 |
| 9.66416 | 2.603348 |
| 9.70154 | 2.603217 |
| 9.73907 | 2.603084 |
| 9.77674 | 2.602951 |
| 9.81456 | 2.602817 |
| 9.85252 | 2.602682 |
| 9.89064 | 2.602546 |
| 9.9289 | 2.602409 |
| 9.9673 | 2.602271 |
| 10.0059 | 2.602131 |
| 10.0446 | 2.601991 |
| 10.0834 | 2.601849 |
| 10.1224 | 2.601707 |
| 10.1616 | 2.601563 |
| 10.2009 | 2.601418 |
| 10.2403 | 2.601272 |
| 10.28 | 2.601125 |
| 10.3197 | 2.600976 |
| 10.3596 | 2.600827 |
| 10.3997 | 2.600676 |
| 10.4399 | 2.600524 |
| 10.4803 | 2.600371 |
| 10.5209 | 2.600216 |
| 10.5616 | 2.60006 |
| 10.6024 | 2.599903 |
| 10.6434 | 2.599745 |
| 10.6846 | 2.599586 |
| 10.7259 | 2.599425 |
| 10.7674 | 2.599263 |
| 10.8091 | 2.599099 |
| 10.8509 | 2.598934 |
| 10.8929 | 2.598768 |
| 10.935 | 2.5986 |
| 10.9773 | 2.598431 |
| 11.0198 | 2.598261 |
| 11.0624 | 2.598089 |
| 11.1052 | 2.597916 |
| 11.1481 | 2.597741 |
| 11.1913 | 2.597565 |
| 11.2345 | 2.597387 |
| 11.278 | 2.597208 |
| 11.3216 | 2.597028 |
| 11.3654 | 2.596845 |
| 11.4094 | 2.596662 |
| 11.4535 | 2.596476 |
| 11.4978 | 2.59629 |
| 11.5423 | 2.596101 |
| 11.587 | 2.595911 |
| 11.6318 | 2.595719 |
| 11.6768 | 2.595526 |
| 11.7219 | 2.595331 |
| 11.7673 | 2.595134 |
| 11.8128 | 2.594936 |
| 11.8585 | 2.594736 |
| 11.9044 | 2.594534 |
| 11.9504 | 2.59433 |
| 11.9966 | 2.594125 |
| 12.043 | 2.593918 |
| 12.0896 | 2.593709 |
| 12.1364 | 2.593498 |
| 12.1833 | 2.593285 |
| 12.2305 | 2.593071 |
| 12.2778 | 2.592854 |
| 12.3253 | 2.592636 |
| 12.373 | 2.592415 |
| 12.4208 | 2.592193 |
| 12.4689 | 2.591969 |
| 12.5171 | 2.591743 |
| 12.5655 | 2.591514 |
| 12.6141 | 2.591284 |
| 12.6629 | 2.591052 |
| 12.7119 | 2.590817 |
| 12.7611 | 2.59058 |
| 12.8104 | 2.590342 |
| 12.86 | 2.590101 |
| 12.9097 | 2.589858 |
| 12.9597 | 2.589612 |
| 13.0098 | 2.589365 |
| 13.0601 | 2.589115 |
| 13.1106 | 2.588863 |
| 13.1614 | 2.588608 |
| 13.2123 | 2.588352 |
| 13.2634 | 2.588093 |
| 13.3147 | 2.587831 |
| 13.3662 | 2.587567 |
| 13.4179 | 2.587301 |
| 13.4698 | 2.587032 |
| 13.5219 | 2.586761 |
| 13.5742 | 2.586487 |
| 13.6267 | 2.58621 |
| 13.6794 | 2.585931 |
| 13.7323 | 2.585649 |
| 13.7855 | 2.585365 |
| 13.8388 | 2.585078 |
| 13.8923 | 2.584788 |
| 13.9461 | 2.584496 |
| 14 | 2.584201 |
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
- —