Optical constants
Refractive index of Norland NOA 61
Norland spec sheet: Cured; n 0.450–1.55 µm
- Data
- formula 5
- Range
- 0.45–1.55 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.55974
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.43279
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 42.435
- Chromatic dispersion dn/dλ
- -0.0696753 µm⁻¹
- Group index ng
- 1.60068
- Group velocity dispersion
- 113.067 fs²/mm
- Dispersion parameter D
- -616.839 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
# Norland NOA 61: Norland spec sheet: Cured; n 0.450–1.55 µm
norland_noa_61 = ls.fetch_refractiveindex("other", "Norland_NOA-61", "Norland", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(norland_noa_61.range_nm) # (450, 1550) nm
eps = norland_noa_61.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_cd6c97f40171/lightsmith"
norland_noa_61 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(norland_noa_61.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (norland-noa-61/norland).
# ... load norland_noa_61 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=norland_noa_61)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=450, 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.
Dispersion formula
Cauchy (formula 5), λ in µmValid from 0.45 to 1.55 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.5375 |
| C2 | 0.00829045 |
| C3 | -2.0 |
| C4 | -0.000211046 |
| C5 | -4.0 |
References
Cite
Norland Optical Adhesive 61 Data 1, Data 2 (accessed 2016-04-20); 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 |
|---|---|
| 0.45 | 1.573294 |
| 0.451397 | 1.573104 |
| 0.452798 | 1.572915 |
| 0.454204 | 1.572727 |
| 0.455614 | 1.57254 |
| 0.457029 | 1.572354 |
| 0.458447 | 1.572168 |
| 0.459871 | 1.571983 |
| 0.461298 | 1.571799 |
| 0.46273 | 1.571616 |
| 0.464167 | 1.571433 |
| 0.465608 | 1.571251 |
| 0.467053 | 1.57107 |
| 0.468503 | 1.57089 |
| 0.469958 | 1.570711 |
| 0.471417 | 1.570532 |
| 0.47288 | 1.570354 |
| 0.474348 | 1.570177 |
| 0.475821 | 1.57 |
| 0.477298 | 1.569825 |
| 0.47878 | 1.56965 |
| 0.480266 | 1.569476 |
| 0.481757 | 1.569303 |
| 0.483253 | 1.56913 |
| 0.484753 | 1.568959 |
| 0.486258 | 1.568788 |
| 0.487767 | 1.568618 |
| 0.489282 | 1.568448 |
| 0.490801 | 1.568279 |
| 0.492324 | 1.568112 |
| 0.493853 | 1.567944 |
| 0.495386 | 1.567778 |
| 0.496924 | 1.567613 |
| 0.498466 | 1.567448 |
| 0.500014 | 1.567284 |
| 0.501566 | 1.56712 |
| 0.503123 | 1.566958 |
| 0.504685 | 1.566796 |
| 0.506252 | 1.566635 |
| 0.507824 | 1.566474 |
| 0.5094 | 1.566315 |
| 0.510982 | 1.566156 |
| 0.512568 | 1.565998 |
| 0.514159 | 1.565841 |
| 0.515755 | 1.565684 |
| 0.517356 | 1.565528 |
| 0.518963 | 1.565373 |
| 0.520574 | 1.565219 |
| 0.52219 | 1.565065 |
| 0.523811 | 1.564912 |
| 0.525437 | 1.56476 |
| 0.527068 | 1.564608 |
| 0.528705 | 1.564458 |
| 0.530346 | 1.564308 |
| 0.531992 | 1.564158 |
| 0.533644 | 1.56401 |
| 0.535301 | 1.563862 |
| 0.536962 | 1.563715 |
| 0.538629 | 1.563568 |
| 0.540301 | 1.563423 |
| 0.541979 | 1.563278 |
| 0.543661 | 1.563133 |
| 0.545349 | 1.56299 |
| 0.547042 | 1.562847 |
| 0.54874 | 1.562705 |
| 0.550444 | 1.562563 |
| 0.552153 | 1.562423 |
| 0.553867 | 1.562282 |
| 0.555586 | 1.562143 |
| 0.557311 | 1.562004 |
| 0.559041 | 1.561866 |
| 0.560777 | 1.561729 |
| 0.562518 | 1.561592 |
| 0.564264 | 1.561456 |
| 0.566016 | 1.561321 |
| 0.567773 | 1.561187 |
| 0.569536 | 1.561053 |
| 0.571304 | 1.560919 |
| 0.573077 | 1.560787 |
| 0.574856 | 1.560655 |
| 0.576641 | 1.560524 |
| 0.578431 | 1.560393 |
| 0.580227 | 1.560263 |
| 0.582028 | 1.560134 |
| 0.583835 | 1.560005 |
| 0.585648 | 1.559878 |
| 0.587466 | 1.55975 |
| 0.58929 | 1.559624 |
| 0.591119 | 1.559498 |
| 0.592954 | 1.559372 |
| 0.594795 | 1.559248 |
| 0.596641 | 1.559124 |
| 0.598494 | 1.559 |
| 0.600352 | 1.558877 |
| 0.602215 | 1.558755 |
| 0.604085 | 1.558634 |
| 0.60596 | 1.558513 |
| 0.607842 | 1.558393 |
| 0.609729 | 1.558273 |
| 0.611621 | 1.558154 |
| 0.61352 | 1.558036 |
| 0.615425 | 1.557918 |
| 0.617335 | 1.557801 |
| 0.619252 | 1.557684 |
| 0.621174 | 1.557568 |
| 0.623103 | 1.557453 |
| 0.625037 | 1.557338 |
| 0.626978 | 1.557224 |
| 0.628924 | 1.557111 |
| 0.630876 | 1.556998 |
| 0.632835 | 1.556885 |
| 0.6348 | 1.556774 |
| 0.63677 | 1.556663 |
| 0.638747 | 1.556552 |
| 0.64073 | 1.556442 |
| 0.642719 | 1.556333 |
| 0.644715 | 1.556224 |
| 0.646716 | 1.556116 |
| 0.648724 | 1.556008 |
| 0.650738 | 1.555901 |
| 0.652758 | 1.555794 |
| 0.654784 | 1.555689 |
| 0.656817 | 1.555583 |
| 0.658856 | 1.555478 |
| 0.660902 | 1.555374 |
| 0.662953 | 1.555271 |
| 0.665011 | 1.555167 |
| 0.667076 | 1.555065 |
| 0.669147 | 1.554963 |
| 0.671224 | 1.554861 |
| 0.673308 | 1.55476 |
| 0.675398 | 1.55466 |
| 0.677495 | 1.55456 |
| 0.679598 | 1.554461 |
| 0.681708 | 1.554362 |
| 0.683824 | 1.554264 |
| 0.685947 | 1.554166 |
| 0.688077 | 1.554069 |
| 0.690213 | 1.553973 |
| 0.692356 | 1.553877 |
| 0.694505 | 1.553781 |
| 0.696661 | 1.553686 |
| 0.698824 | 1.553591 |
| 0.700993 | 1.553497 |
| 0.70317 | 1.553404 |
| 0.705352 | 1.553311 |
| 0.707542 | 1.553218 |
| 0.709739 | 1.553126 |
| 0.711942 | 1.553035 |
| 0.714152 | 1.552944 |
| 0.716369 | 1.552854 |
| 0.718593 | 1.552764 |
| 0.720824 | 1.552674 |
| 0.723062 | 1.552585 |
| 0.725307 | 1.552497 |
| 0.727558 | 1.552409 |
| 0.729817 | 1.552321 |
| 0.732083 | 1.552234 |
| 0.734355 | 1.552148 |
| 0.736635 | 1.552061 |
| 0.738922 | 1.551976 |
| 0.741216 | 1.551891 |
| 0.743517 | 1.551806 |
| 0.745825 | 1.551722 |
| 0.748141 | 1.551638 |
| 0.750463 | 1.551555 |
| 0.752793 | 1.551472 |
| 0.75513 | 1.55139 |
| 0.757474 | 1.551308 |
| 0.759826 | 1.551227 |
| 0.762185 | 1.551146 |
| 0.764551 | 1.551065 |
| 0.766925 | 1.550985 |
| 0.769305 | 1.550906 |
| 0.771694 | 1.550826 |
| 0.774089 | 1.550748 |
| 0.776493 | 1.550669 |
| 0.778903 | 1.550592 |
| 0.781321 | 1.550514 |
| 0.783747 | 1.550437 |
| 0.78618 | 1.550361 |
| 0.788621 | 1.550285 |
| 0.791069 | 1.550209 |
| 0.793525 | 1.550134 |
| 0.795988 | 1.550059 |
| 0.798459 | 1.549985 |
| 0.800938 | 1.549911 |
| 0.803424 | 1.549837 |
| 0.805919 | 1.549764 |
| 0.808421 | 1.549691 |
| 0.81093 | 1.549619 |
| 0.813448 | 1.549547 |
| 0.815973 | 1.549476 |
| 0.818506 | 1.549404 |
| 0.821047 | 1.549334 |
| 0.823596 | 1.549264 |
| 0.826153 | 1.549194 |
| 0.828718 | 1.549124 |
| 0.831291 | 1.549055 |
| 0.833871 | 1.548986 |
| 0.83646 | 1.548918 |
| 0.839057 | 1.54885 |
| 0.841662 | 1.548783 |
| 0.844275 | 1.548715 |
| 0.846896 | 1.548649 |
| 0.849525 | 1.548582 |
| 0.852162 | 1.548516 |
| 0.854808 | 1.548451 |
| 0.857461 | 1.548385 |
| 0.860123 | 1.548321 |
| 0.862793 | 1.548256 |
| 0.865472 | 1.548192 |
| 0.868159 | 1.548128 |
| 0.870854 | 1.548065 |
| 0.873557 | 1.548002 |
| 0.876269 | 1.547939 |
| 0.87899 | 1.547877 |
| 0.881719 | 1.547815 |
| 0.884456 | 1.547753 |
| 0.887202 | 1.547692 |
| 0.889956 | 1.547631 |
| 0.892719 | 1.54757 |
| 0.89549 | 1.54751 |
| 0.89827 | 1.54745 |
| 0.901059 | 1.547391 |
| 0.903856 | 1.547332 |
| 0.906662 | 1.547273 |
| 0.909477 | 1.547214 |
| 0.9123 | 1.547156 |
| 0.915132 | 1.547099 |
| 0.917973 | 1.547041 |
| 0.920823 | 1.546984 |
| 0.923682 | 1.546927 |
| 0.926549 | 1.546871 |
| 0.929426 | 1.546814 |
| 0.932311 | 1.546759 |
| 0.935206 | 1.546703 |
| 0.938109 | 1.546648 |
| 0.941021 | 1.546593 |
| 0.943943 | 1.546539 |
| 0.946873 | 1.546484 |
| 0.949813 | 1.54643 |
| 0.952761 | 1.546377 |
| 0.955719 | 1.546324 |
| 0.958686 | 1.546271 |
| 0.961662 | 1.546218 |
| 0.964648 | 1.546166 |
| 0.967642 | 1.546113 |
| 0.970646 | 1.546062 |
| 0.97366 | 1.54601 |
| 0.976682 | 1.545959 |
| 0.979714 | 1.545908 |
| 0.982756 | 1.545858 |
| 0.985807 | 1.545807 |
| 0.988867 | 1.545757 |
| 0.991937 | 1.545708 |
| 0.995017 | 1.545658 |
| 0.998106 | 1.545609 |
| 1.0012 | 1.54556 |
| 1.00431 | 1.545512 |
| 1.00743 | 1.545464 |
| 1.01056 | 1.545416 |
| 1.0137 | 1.545368 |
| 1.01684 | 1.545321 |
| 1.02 | 1.545274 |
| 1.02317 | 1.545227 |
| 1.02634 | 1.54518 |
| 1.02953 | 1.545134 |
| 1.03272 | 1.545088 |
| 1.03593 | 1.545042 |
| 1.03915 | 1.544997 |
| 1.04237 | 1.544951 |
| 1.04561 | 1.544906 |
| 1.04885 | 1.544862 |
| 1.05211 | 1.544817 |
| 1.05538 | 1.544773 |
| 1.05865 | 1.544729 |
| 1.06194 | 1.544686 |
| 1.06524 | 1.544642 |
| 1.06854 | 1.544599 |
| 1.07186 | 1.544556 |
| 1.07519 | 1.544514 |
| 1.07853 | 1.544471 |
| 1.08187 | 1.544429 |
| 1.08523 | 1.544387 |
| 1.0886 | 1.544346 |
| 1.09198 | 1.544304 |
| 1.09537 | 1.544263 |
| 1.09877 | 1.544222 |
| 1.10218 | 1.544181 |
| 1.1056 | 1.544141 |
| 1.10904 | 1.544101 |
| 1.11248 | 1.544061 |
| 1.11593 | 1.544021 |
| 1.1194 | 1.543982 |
| 1.12287 | 1.543943 |
| 1.12636 | 1.543904 |
| 1.12986 | 1.543865 |
| 1.13336 | 1.543826 |
| 1.13688 | 1.543788 |
| 1.14041 | 1.54375 |
| 1.14395 | 1.543712 |
| 1.1475 | 1.543674 |
| 1.15107 | 1.543637 |
| 1.15464 | 1.5436 |
| 1.15822 | 1.543563 |
| 1.16182 | 1.543526 |
| 1.16543 | 1.54349 |
| 1.16904 | 1.543453 |
| 1.17267 | 1.543417 |
| 1.17631 | 1.543381 |
| 1.17997 | 1.543346 |
| 1.18363 | 1.54331 |
| 1.1873 | 1.543275 |
| 1.19099 | 1.54324 |
| 1.19469 | 1.543205 |
| 1.1984 | 1.54317 |
| 1.20212 | 1.543136 |
| 1.20585 | 1.543102 |
| 1.20959 | 1.543068 |
| 1.21335 | 1.543034 |
| 1.21711 | 1.543 |
| 1.22089 | 1.542967 |
| 1.22468 | 1.542934 |
| 1.22848 | 1.542901 |
| 1.2323 | 1.542868 |
| 1.23612 | 1.542835 |
| 1.23996 | 1.542803 |
| 1.24381 | 1.542771 |
| 1.24767 | 1.542739 |
| 1.25154 | 1.542707 |
| 1.25543 | 1.542675 |
| 1.25933 | 1.542644 |
| 1.26324 | 1.542612 |
| 1.26716 | 1.542581 |
| 1.27109 | 1.54255 |
| 1.27504 | 1.54252 |
| 1.279 | 1.542489 |
| 1.28297 | 1.542459 |
| 1.28695 | 1.542429 |
| 1.29095 | 1.542399 |
| 1.29495 | 1.542369 |
| 1.29897 | 1.542339 |
| 1.30301 | 1.54231 |
| 1.30705 | 1.54228 |
| 1.31111 | 1.542251 |
| 1.31518 | 1.542222 |
| 1.31926 | 1.542194 |
| 1.32336 | 1.542165 |
| 1.32747 | 1.542137 |
| 1.33159 | 1.542108 |
| 1.33572 | 1.54208 |
| 1.33987 | 1.542053 |
| 1.34403 | 1.542025 |
| 1.3482 | 1.541997 |
| 1.35239 | 1.54197 |
| 1.35658 | 1.541943 |
| 1.3608 | 1.541916 |
| 1.36502 | 1.541889 |
| 1.36926 | 1.541862 |
| 1.37351 | 1.541835 |
| 1.37777 | 1.541809 |
| 1.38205 | 1.541783 |
| 1.38634 | 1.541756 |
| 1.39064 | 1.54173 |
| 1.39496 | 1.541705 |
| 1.39929 | 1.541679 |
| 1.40364 | 1.541654 |
| 1.40799 | 1.541628 |
| 1.41236 | 1.541603 |
| 1.41675 | 1.541578 |
| 1.42115 | 1.541553 |
| 1.42556 | 1.541528 |
| 1.42998 | 1.541504 |
| 1.43442 | 1.541479 |
| 1.43888 | 1.541455 |
| 1.44334 | 1.541431 |
| 1.44783 | 1.541407 |
| 1.45232 | 1.541383 |
| 1.45683 | 1.541359 |
| 1.46135 | 1.541336 |
| 1.46589 | 1.541312 |
| 1.47044 | 1.541289 |
| 1.475 | 1.541266 |
| 1.47958 | 1.541243 |
| 1.48418 | 1.54122 |
| 1.48878 | 1.541197 |
| 1.49341 | 1.541175 |
| 1.49804 | 1.541152 |
| 1.50269 | 1.54113 |
| 1.50736 | 1.541108 |
| 1.51204 | 1.541086 |
| 1.51673 | 1.541064 |
| 1.52144 | 1.541042 |
| 1.52616 | 1.54102 |
| 1.5309 | 1.540999 |
| 1.53565 | 1.540978 |
| 1.54042 | 1.540956 |
| 1.5452 | 1.540935 |
| 1.55 | 1.540914 |
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
- —