Optical constants
Refractive index of Micro resist EpoCore
Spec sheet: n 0.45–1.55 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
- 1.59787
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.55319
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 29.496
- Chromatic dispersion dn/dλ
- -0.101187 µm⁻¹
- Group index ng
- 1.65733
- Group velocity dispersion
- 217.725 fs²/mm
- Dispersion parameter D
- -1187.8 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
# Micro resist EpoCore: Spec sheet: n 0.45–1.55 µm
mat = ls.fetch_refractiveindex("other", "microresistEpoCore", "specs", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm) # (450, 1550) nm
eps = mat.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_848bafc3cce7/lightsmith"
mat = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(mat.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (microresistepocore/specs).
# ... load mat as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=mat)],
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 | 1.572 |
| C2 | 0.0076 |
| C3 | -2.0 |
| C4 | 0.00046 |
| C5 | -4.0 |
Comments and conditions
References
Cite
Micro resist EpoCore and EpoClad datasheet, 2015; 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 | 1.620749 |
| 0.451397 | 1.620378 |
| 0.452798 | 1.620011 |
| 0.454204 | 1.619648 |
| 0.455614 | 1.619287 |
| 0.457029 | 1.618929 |
| 0.458447 | 1.618574 |
| 0.459871 | 1.618222 |
| 0.461298 | 1.617873 |
| 0.46273 | 1.617528 |
| 0.464167 | 1.617185 |
| 0.465608 | 1.616844 |
| 0.467053 | 1.616507 |
| 0.468503 | 1.616173 |
| 0.469958 | 1.615841 |
| 0.471417 | 1.615512 |
| 0.47288 | 1.615186 |
| 0.474348 | 1.614863 |
| 0.475821 | 1.614542 |
| 0.477298 | 1.614224 |
| 0.47878 | 1.613909 |
| 0.480266 | 1.613596 |
| 0.481757 | 1.613286 |
| 0.483253 | 1.612978 |
| 0.484753 | 1.612673 |
| 0.486258 | 1.612371 |
| 0.487767 | 1.61207 |
| 0.489282 | 1.611773 |
| 0.490801 | 1.611478 |
| 0.492324 | 1.611185 |
| 0.493853 | 1.610895 |
| 0.495386 | 1.610607 |
| 0.496924 | 1.610322 |
| 0.498466 | 1.610038 |
| 0.500014 | 1.609757 |
| 0.501566 | 1.609479 |
| 0.503123 | 1.609203 |
| 0.504685 | 1.608929 |
| 0.506252 | 1.608657 |
| 0.507824 | 1.608387 |
| 0.5094 | 1.60812 |
| 0.510982 | 1.607855 |
| 0.512568 | 1.607592 |
| 0.514159 | 1.607331 |
| 0.515755 | 1.607072 |
| 0.517356 | 1.606815 |
| 0.518963 | 1.606561 |
| 0.520574 | 1.606308 |
| 0.52219 | 1.606058 |
| 0.523811 | 1.605809 |
| 0.525437 | 1.605563 |
| 0.527068 | 1.605318 |
| 0.528705 | 1.605076 |
| 0.530346 | 1.604835 |
| 0.531992 | 1.604597 |
| 0.533644 | 1.60436 |
| 0.535301 | 1.604125 |
| 0.536962 | 1.603892 |
| 0.538629 | 1.603661 |
| 0.540301 | 1.603432 |
| 0.541979 | 1.603204 |
| 0.543661 | 1.602979 |
| 0.545349 | 1.602755 |
| 0.547042 | 1.602533 |
| 0.54874 | 1.602313 |
| 0.550444 | 1.602094 |
| 0.552153 | 1.601877 |
| 0.553867 | 1.601662 |
| 0.555586 | 1.601449 |
| 0.557311 | 1.601237 |
| 0.559041 | 1.601027 |
| 0.560777 | 1.600819 |
| 0.562518 | 1.600612 |
| 0.564264 | 1.600407 |
| 0.566016 | 1.600204 |
| 0.567773 | 1.600002 |
| 0.569536 | 1.599802 |
| 0.571304 | 1.599603 |
| 0.573077 | 1.599406 |
| 0.574856 | 1.599211 |
| 0.576641 | 1.599017 |
| 0.578431 | 1.598824 |
| 0.580227 | 1.598633 |
| 0.582028 | 1.598443 |
| 0.583835 | 1.598255 |
| 0.585648 | 1.598069 |
| 0.587466 | 1.597884 |
| 0.58929 | 1.5977 |
| 0.591119 | 1.597518 |
| 0.592954 | 1.597337 |
| 0.594795 | 1.597157 |
| 0.596641 | 1.596979 |
| 0.598494 | 1.596803 |
| 0.600352 | 1.596627 |
| 0.602215 | 1.596454 |
| 0.604085 | 1.596281 |
| 0.60596 | 1.59611 |
| 0.607842 | 1.59594 |
| 0.609729 | 1.595771 |
| 0.611621 | 1.595604 |
| 0.61352 | 1.595438 |
| 0.615425 | 1.595273 |
| 0.617335 | 1.595109 |
| 0.619252 | 1.594947 |
| 0.621174 | 1.594786 |
| 0.623103 | 1.594626 |
| 0.625037 | 1.594468 |
| 0.626978 | 1.59431 |
| 0.628924 | 1.594154 |
| 0.630876 | 1.593999 |
| 0.632835 | 1.593845 |
| 0.6348 | 1.593693 |
| 0.63677 | 1.593541 |
| 0.638747 | 1.593391 |
| 0.64073 | 1.593242 |
| 0.642719 | 1.593094 |
| 0.644715 | 1.592947 |
| 0.646716 | 1.592801 |
| 0.648724 | 1.592656 |
| 0.650738 | 1.592513 |
| 0.652758 | 1.59237 |
| 0.654784 | 1.592229 |
| 0.656817 | 1.592088 |
| 0.658856 | 1.591949 |
| 0.660902 | 1.591811 |
| 0.662953 | 1.591673 |
| 0.665011 | 1.591537 |
| 0.667076 | 1.591402 |
| 0.669147 | 1.591268 |
| 0.671224 | 1.591135 |
| 0.673308 | 1.591003 |
| 0.675398 | 1.590871 |
| 0.677495 | 1.590741 |
| 0.679598 | 1.590612 |
| 0.681708 | 1.590484 |
| 0.683824 | 1.590356 |
| 0.685947 | 1.59023 |
| 0.688077 | 1.590105 |
| 0.690213 | 1.58998 |
| 0.692356 | 1.589856 |
| 0.694505 | 1.589734 |
| 0.696661 | 1.589612 |
| 0.698824 | 1.589491 |
| 0.700993 | 1.589371 |
| 0.70317 | 1.589252 |
| 0.705352 | 1.589134 |
| 0.707542 | 1.589017 |
| 0.709739 | 1.5889 |
| 0.711942 | 1.588785 |
| 0.714152 | 1.58867 |
| 0.716369 | 1.588556 |
| 0.718593 | 1.588443 |
| 0.720824 | 1.588331 |
| 0.723062 | 1.588219 |
| 0.725307 | 1.588109 |
| 0.727558 | 1.587999 |
| 0.729817 | 1.58789 |
| 0.732083 | 1.587782 |
| 0.734355 | 1.587675 |
| 0.736635 | 1.587568 |
| 0.738922 | 1.587462 |
| 0.741216 | 1.587357 |
| 0.743517 | 1.587253 |
| 0.745825 | 1.587149 |
| 0.748141 | 1.587047 |
| 0.750463 | 1.586945 |
| 0.752793 | 1.586843 |
| 0.75513 | 1.586743 |
| 0.757474 | 1.586643 |
| 0.759826 | 1.586544 |
| 0.762185 | 1.586446 |
| 0.764551 | 1.586348 |
| 0.766925 | 1.586251 |
| 0.769305 | 1.586155 |
| 0.771694 | 1.586059 |
| 0.774089 | 1.585964 |
| 0.776493 | 1.58587 |
| 0.778903 | 1.585777 |
| 0.781321 | 1.585684 |
| 0.783747 | 1.585592 |
| 0.78618 | 1.5855 |
| 0.788621 | 1.585409 |
| 0.791069 | 1.585319 |
| 0.793525 | 1.58523 |
| 0.795988 | 1.585141 |
| 0.798459 | 1.585053 |
| 0.800938 | 1.584965 |
| 0.803424 | 1.584878 |
| 0.805919 | 1.584792 |
| 0.808421 | 1.584706 |
| 0.81093 | 1.584621 |
| 0.813448 | 1.584536 |
| 0.815973 | 1.584452 |
| 0.818506 | 1.584369 |
| 0.821047 | 1.584286 |
| 0.823596 | 1.584204 |
| 0.826153 | 1.584123 |
| 0.828718 | 1.584042 |
| 0.831291 | 1.583961 |
| 0.833871 | 1.583881 |
| 0.83646 | 1.583802 |
| 0.839057 | 1.583723 |
| 0.841662 | 1.583645 |
| 0.844275 | 1.583568 |
| 0.846896 | 1.58349 |
| 0.849525 | 1.583414 |
| 0.852162 | 1.583338 |
| 0.854808 | 1.583263 |
| 0.857461 | 1.583188 |
| 0.860123 | 1.583113 |
| 0.862793 | 1.583039 |
| 0.865472 | 1.582966 |
| 0.868159 | 1.582893 |
| 0.870854 | 1.582821 |
| 0.873557 | 1.582749 |
| 0.876269 | 1.582678 |
| 0.87899 | 1.582607 |
| 0.881719 | 1.582537 |
| 0.884456 | 1.582467 |
| 0.887202 | 1.582398 |
| 0.889956 | 1.582329 |
| 0.892719 | 1.582261 |
| 0.89549 | 1.582193 |
| 0.89827 | 1.582125 |
| 0.901059 | 1.582059 |
| 0.903856 | 1.581992 |
| 0.906662 | 1.581926 |
| 0.909477 | 1.581861 |
| 0.9123 | 1.581795 |
| 0.915132 | 1.581731 |
| 0.917973 | 1.581667 |
| 0.920823 | 1.581603 |
| 0.923682 | 1.58154 |
| 0.926549 | 1.581477 |
| 0.929426 | 1.581414 |
| 0.932311 | 1.581352 |
| 0.935206 | 1.581291 |
| 0.938109 | 1.58123 |
| 0.941021 | 1.581169 |
| 0.943943 | 1.581109 |
| 0.946873 | 1.581049 |
| 0.949813 | 1.58099 |
| 0.952761 | 1.580931 |
| 0.955719 | 1.580872 |
| 0.958686 | 1.580814 |
| 0.961662 | 1.580756 |
| 0.964648 | 1.580698 |
| 0.967642 | 1.580641 |
| 0.970646 | 1.580585 |
| 0.97366 | 1.580529 |
| 0.976682 | 1.580473 |
| 0.979714 | 1.580417 |
| 0.982756 | 1.580362 |
| 0.985807 | 1.580307 |
| 0.988867 | 1.580253 |
| 0.991937 | 1.580199 |
| 0.995017 | 1.580146 |
| 0.998106 | 1.580092 |
| 1.0012 | 1.58004 |
| 1.00431 | 1.579987 |
| 1.00743 | 1.579935 |
| 1.01056 | 1.579883 |
| 1.0137 | 1.579832 |
| 1.01684 | 1.579781 |
| 1.02 | 1.57973 |
| 1.02317 | 1.579679 |
| 1.02634 | 1.579629 |
| 1.02953 | 1.57958 |
| 1.03272 | 1.57953 |
| 1.03593 | 1.579481 |
| 1.03915 | 1.579433 |
| 1.04237 | 1.579384 |
| 1.04561 | 1.579336 |
| 1.04885 | 1.579289 |
| 1.05211 | 1.579241 |
| 1.05538 | 1.579194 |
| 1.05865 | 1.579147 |
| 1.06194 | 1.579101 |
| 1.06524 | 1.579055 |
| 1.06854 | 1.579009 |
| 1.07186 | 1.578964 |
| 1.07519 | 1.578918 |
| 1.07853 | 1.578874 |
| 1.08187 | 1.578829 |
| 1.08523 | 1.578785 |
| 1.0886 | 1.578741 |
| 1.09198 | 1.578697 |
| 1.09537 | 1.578654 |
| 1.09877 | 1.578611 |
| 1.10218 | 1.578568 |
| 1.1056 | 1.578525 |
| 1.10904 | 1.578483 |
| 1.11248 | 1.578441 |
| 1.11593 | 1.5784 |
| 1.1194 | 1.578358 |
| 1.12287 | 1.578317 |
| 1.12636 | 1.578276 |
| 1.12986 | 1.578236 |
| 1.13336 | 1.578195 |
| 1.13688 | 1.578155 |
| 1.14041 | 1.578116 |
| 1.14395 | 1.578076 |
| 1.1475 | 1.578037 |
| 1.15107 | 1.577998 |
| 1.15464 | 1.577959 |
| 1.15822 | 1.577921 |
| 1.16182 | 1.577883 |
| 1.16543 | 1.577845 |
| 1.16904 | 1.577807 |
| 1.17267 | 1.57777 |
| 1.17631 | 1.577733 |
| 1.17997 | 1.577696 |
| 1.18363 | 1.577659 |
| 1.1873 | 1.577623 |
| 1.19099 | 1.577587 |
| 1.19469 | 1.577551 |
| 1.1984 | 1.577515 |
| 1.20212 | 1.577479 |
| 1.20585 | 1.577444 |
| 1.20959 | 1.577409 |
| 1.21335 | 1.577375 |
| 1.21711 | 1.57734 |
| 1.22089 | 1.577306 |
| 1.22468 | 1.577272 |
| 1.22848 | 1.577238 |
| 1.2323 | 1.577204 |
| 1.23612 | 1.577171 |
| 1.23996 | 1.577138 |
| 1.24381 | 1.577105 |
| 1.24767 | 1.577072 |
| 1.25154 | 1.577039 |
| 1.25543 | 1.577007 |
| 1.25933 | 1.576975 |
| 1.26324 | 1.576943 |
| 1.26716 | 1.576912 |
| 1.27109 | 1.57688 |
| 1.27504 | 1.576849 |
| 1.279 | 1.576818 |
| 1.28297 | 1.576787 |
| 1.28695 | 1.576756 |
| 1.29095 | 1.576726 |
| 1.29495 | 1.576696 |
| 1.29897 | 1.576666 |
| 1.30301 | 1.576636 |
| 1.30705 | 1.576606 |
| 1.31111 | 1.576577 |
| 1.31518 | 1.576548 |
| 1.31926 | 1.576519 |
| 1.32336 | 1.57649 |
| 1.32747 | 1.576461 |
| 1.33159 | 1.576433 |
| 1.33572 | 1.576404 |
| 1.33987 | 1.576376 |
| 1.34403 | 1.576348 |
| 1.3482 | 1.57632 |
| 1.35239 | 1.576293 |
| 1.35658 | 1.576266 |
| 1.3608 | 1.576238 |
| 1.36502 | 1.576211 |
| 1.36926 | 1.576184 |
| 1.37351 | 1.576158 |
| 1.37777 | 1.576131 |
| 1.38205 | 1.576105 |
| 1.38634 | 1.576079 |
| 1.39064 | 1.576053 |
| 1.39496 | 1.576027 |
| 1.39929 | 1.576001 |
| 1.40364 | 1.575976 |
| 1.40799 | 1.575951 |
| 1.41236 | 1.575926 |
| 1.41675 | 1.575901 |
| 1.42115 | 1.575876 |
| 1.42556 | 1.575851 |
| 1.42998 | 1.575827 |
| 1.43442 | 1.575802 |
| 1.43888 | 1.575778 |
| 1.44334 | 1.575754 |
| 1.44783 | 1.57573 |
| 1.45232 | 1.575707 |
| 1.45683 | 1.575683 |
| 1.46135 | 1.57566 |
| 1.46589 | 1.575636 |
| 1.47044 | 1.575613 |
| 1.475 | 1.57559 |
| 1.47958 | 1.575568 |
| 1.48418 | 1.575545 |
| 1.48878 | 1.575522 |
| 1.49341 | 1.5755 |
| 1.49804 | 1.575478 |
| 1.50269 | 1.575456 |
| 1.50736 | 1.575434 |
| 1.51204 | 1.575412 |
| 1.51673 | 1.575391 |
| 1.52144 | 1.575369 |
| 1.52616 | 1.575348 |
| 1.5309 | 1.575327 |
| 1.53565 | 1.575305 |
| 1.54042 | 1.575285 |
| 1.5452 | 1.575264 |
| 1.55 | 1.575243 |
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
- —
Micro resist EpoCore negative photoresist for waveguide manufacturing