Optical constants
Refractive index of Micro resist EpoClad
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
- 1.58433
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.5101
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 31.255
- Chromatic dispersion dn/dλ
- -0.0936615 µm⁻¹
- Group index ng
- 1.63937
- Group velocity dispersion
- 198.335 fs²/mm
- Dispersion parameter D
- -1082.02 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 EpoClad: Spec sheet: n 0.45–1.55 µm
mat = ls.fetch_refractiveindex("other", "microresistEpoClad", "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_c3324b5592d1/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 (microresistepoclad/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 | 1.56 |
| C2 | 0.0073 |
| C3 | -2.0 |
| C4 | 0.00038 |
| 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 | 1.605316 |
| 0.451397 | 1.604979 |
| 0.452798 | 1.604645 |
| 0.454204 | 1.604314 |
| 0.455614 | 1.603985 |
| 0.457029 | 1.603659 |
| 0.458447 | 1.603336 |
| 0.459871 | 1.603015 |
| 0.461298 | 1.602697 |
| 0.46273 | 1.602382 |
| 0.464167 | 1.602069 |
| 0.465608 | 1.601758 |
| 0.467053 | 1.601451 |
| 0.468503 | 1.601145 |
| 0.469958 | 1.600843 |
| 0.471417 | 1.600543 |
| 0.47288 | 1.600245 |
| 0.474348 | 1.599949 |
| 0.475821 | 1.599656 |
| 0.477298 | 1.599366 |
| 0.47878 | 1.599077 |
| 0.480266 | 1.598792 |
| 0.481757 | 1.598508 |
| 0.483253 | 1.598227 |
| 0.484753 | 1.597948 |
| 0.486258 | 1.597671 |
| 0.487767 | 1.597396 |
| 0.489282 | 1.597124 |
| 0.490801 | 1.596854 |
| 0.492324 | 1.596586 |
| 0.493853 | 1.59632 |
| 0.495386 | 1.596056 |
| 0.496924 | 1.595795 |
| 0.498466 | 1.595535 |
| 0.500014 | 1.595278 |
| 0.501566 | 1.595022 |
| 0.503123 | 1.594769 |
| 0.504685 | 1.594518 |
| 0.506252 | 1.594268 |
| 0.507824 | 1.594021 |
| 0.5094 | 1.593776 |
| 0.510982 | 1.593532 |
| 0.512568 | 1.593291 |
| 0.514159 | 1.593051 |
| 0.515755 | 1.592814 |
| 0.517356 | 1.592578 |
| 0.518963 | 1.592344 |
| 0.520574 | 1.592112 |
| 0.52219 | 1.591882 |
| 0.523811 | 1.591653 |
| 0.525437 | 1.591427 |
| 0.527068 | 1.591202 |
| 0.528705 | 1.590979 |
| 0.530346 | 1.590757 |
| 0.531992 | 1.590538 |
| 0.533644 | 1.59032 |
| 0.535301 | 1.590104 |
| 0.536962 | 1.589889 |
| 0.538629 | 1.589677 |
| 0.540301 | 1.589465 |
| 0.541979 | 1.589256 |
| 0.543661 | 1.589048 |
| 0.545349 | 1.588842 |
| 0.547042 | 1.588637 |
| 0.54874 | 1.588434 |
| 0.550444 | 1.588233 |
| 0.552153 | 1.588033 |
| 0.553867 | 1.587834 |
| 0.555586 | 1.587638 |
| 0.557311 | 1.587442 |
| 0.559041 | 1.587248 |
| 0.560777 | 1.587056 |
| 0.562518 | 1.586865 |
| 0.564264 | 1.586676 |
| 0.566016 | 1.586488 |
| 0.567773 | 1.586302 |
| 0.569536 | 1.586117 |
| 0.571304 | 1.585933 |
| 0.573077 | 1.585751 |
| 0.574856 | 1.58557 |
| 0.576641 | 1.585391 |
| 0.578431 | 1.585213 |
| 0.580227 | 1.585036 |
| 0.582028 | 1.584861 |
| 0.583835 | 1.584687 |
| 0.585648 | 1.584514 |
| 0.587466 | 1.584343 |
| 0.58929 | 1.584173 |
| 0.591119 | 1.584004 |
| 0.592954 | 1.583837 |
| 0.594795 | 1.58367 |
| 0.596641 | 1.583505 |
| 0.598494 | 1.583342 |
| 0.600352 | 1.583179 |
| 0.602215 | 1.583018 |
| 0.604085 | 1.582858 |
| 0.60596 | 1.582699 |
| 0.607842 | 1.582542 |
| 0.609729 | 1.582385 |
| 0.611621 | 1.58223 |
| 0.61352 | 1.582076 |
| 0.615425 | 1.581923 |
| 0.617335 | 1.581771 |
| 0.619252 | 1.581621 |
| 0.621174 | 1.581471 |
| 0.623103 | 1.581323 |
| 0.625037 | 1.581176 |
| 0.626978 | 1.581029 |
| 0.628924 | 1.580884 |
| 0.630876 | 1.58074 |
| 0.632835 | 1.580597 |
| 0.6348 | 1.580456 |
| 0.63677 | 1.580315 |
| 0.638747 | 1.580175 |
| 0.64073 | 1.580036 |
| 0.642719 | 1.579899 |
| 0.644715 | 1.579762 |
| 0.646716 | 1.579626 |
| 0.648724 | 1.579492 |
| 0.650738 | 1.579358 |
| 0.652758 | 1.579225 |
| 0.654784 | 1.579094 |
| 0.656817 | 1.578963 |
| 0.658856 | 1.578833 |
| 0.660902 | 1.578705 |
| 0.662953 | 1.578577 |
| 0.665011 | 1.57845 |
| 0.667076 | 1.578324 |
| 0.669147 | 1.578199 |
| 0.671224 | 1.578075 |
| 0.673308 | 1.577952 |
| 0.675398 | 1.577829 |
| 0.677495 | 1.577708 |
| 0.679598 | 1.577587 |
| 0.681708 | 1.577468 |
| 0.683824 | 1.577349 |
| 0.685947 | 1.577231 |
| 0.688077 | 1.577114 |
| 0.690213 | 1.576998 |
| 0.692356 | 1.576882 |
| 0.694505 | 1.576768 |
| 0.696661 | 1.576654 |
| 0.698824 | 1.576542 |
| 0.700993 | 1.576429 |
| 0.70317 | 1.576318 |
| 0.705352 | 1.576208 |
| 0.707542 | 1.576098 |
| 0.709739 | 1.575989 |
| 0.711942 | 1.575881 |
| 0.714152 | 1.575774 |
| 0.716369 | 1.575668 |
| 0.718593 | 1.575562 |
| 0.720824 | 1.575457 |
| 0.723062 | 1.575353 |
| 0.725307 | 1.57525 |
| 0.727558 | 1.575147 |
| 0.729817 | 1.575045 |
| 0.732083 | 1.574944 |
| 0.734355 | 1.574843 |
| 0.736635 | 1.574744 |
| 0.738922 | 1.574644 |
| 0.741216 | 1.574546 |
| 0.743517 | 1.574449 |
| 0.745825 | 1.574352 |
| 0.748141 | 1.574255 |
| 0.750463 | 1.57416 |
| 0.752793 | 1.574065 |
| 0.75513 | 1.573971 |
| 0.757474 | 1.573877 |
| 0.759826 | 1.573784 |
| 0.762185 | 1.573692 |
| 0.764551 | 1.573601 |
| 0.766925 | 1.57351 |
| 0.769305 | 1.57342 |
| 0.771694 | 1.57333 |
| 0.774089 | 1.573241 |
| 0.776493 | 1.573153 |
| 0.778903 | 1.573065 |
| 0.781321 | 1.572978 |
| 0.783747 | 1.572891 |
| 0.78618 | 1.572806 |
| 0.788621 | 1.57272 |
| 0.791069 | 1.572636 |
| 0.793525 | 1.572552 |
| 0.795988 | 1.572468 |
| 0.798459 | 1.572385 |
| 0.800938 | 1.572303 |
| 0.803424 | 1.572221 |
| 0.805919 | 1.57214 |
| 0.808421 | 1.57206 |
| 0.81093 | 1.57198 |
| 0.813448 | 1.5719 |
| 0.815973 | 1.571821 |
| 0.818506 | 1.571743 |
| 0.821047 | 1.571665 |
| 0.823596 | 1.571588 |
| 0.826153 | 1.571511 |
| 0.828718 | 1.571435 |
| 0.831291 | 1.571359 |
| 0.833871 | 1.571284 |
| 0.83646 | 1.57121 |
| 0.839057 | 1.571136 |
| 0.841662 | 1.571062 |
| 0.844275 | 1.570989 |
| 0.846896 | 1.570917 |
| 0.849525 | 1.570845 |
| 0.852162 | 1.570773 |
| 0.854808 | 1.570702 |
| 0.857461 | 1.570632 |
| 0.860123 | 1.570562 |
| 0.862793 | 1.570492 |
| 0.865472 | 1.570423 |
| 0.868159 | 1.570354 |
| 0.870854 | 1.570286 |
| 0.873557 | 1.570219 |
| 0.876269 | 1.570152 |
| 0.87899 | 1.570085 |
| 0.881719 | 1.570019 |
| 0.884456 | 1.569953 |
| 0.887202 | 1.569888 |
| 0.889956 | 1.569823 |
| 0.892719 | 1.569758 |
| 0.89549 | 1.569694 |
| 0.89827 | 1.569631 |
| 0.901059 | 1.569568 |
| 0.903856 | 1.569505 |
| 0.906662 | 1.569443 |
| 0.909477 | 1.569381 |
| 0.9123 | 1.56932 |
| 0.915132 | 1.569259 |
| 0.917973 | 1.569198 |
| 0.920823 | 1.569138 |
| 0.923682 | 1.569078 |
| 0.926549 | 1.569019 |
| 0.929426 | 1.56896 |
| 0.932311 | 1.568901 |
| 0.935206 | 1.568843 |
| 0.938109 | 1.568786 |
| 0.941021 | 1.568728 |
| 0.943943 | 1.568671 |
| 0.946873 | 1.568615 |
| 0.949813 | 1.568559 |
| 0.952761 | 1.568503 |
| 0.955719 | 1.568448 |
| 0.958686 | 1.568393 |
| 0.961662 | 1.568338 |
| 0.964648 | 1.568284 |
| 0.967642 | 1.56823 |
| 0.970646 | 1.568176 |
| 0.97366 | 1.568123 |
| 0.976682 | 1.56807 |
| 0.979714 | 1.568018 |
| 0.982756 | 1.567966 |
| 0.985807 | 1.567914 |
| 0.988867 | 1.567863 |
| 0.991937 | 1.567812 |
| 0.995017 | 1.567761 |
| 0.998106 | 1.567711 |
| 1.0012 | 1.567661 |
| 1.00431 | 1.567611 |
| 1.00743 | 1.567562 |
| 1.01056 | 1.567513 |
| 1.0137 | 1.567464 |
| 1.01684 | 1.567416 |
| 1.02 | 1.567368 |
| 1.02317 | 1.56732 |
| 1.02634 | 1.567273 |
| 1.02953 | 1.567226 |
| 1.03272 | 1.567179 |
| 1.03593 | 1.567132 |
| 1.03915 | 1.567086 |
| 1.04237 | 1.56704 |
| 1.04561 | 1.566995 |
| 1.04885 | 1.56695 |
| 1.05211 | 1.566905 |
| 1.05538 | 1.56686 |
| 1.05865 | 1.566816 |
| 1.06194 | 1.566772 |
| 1.06524 | 1.566728 |
| 1.06854 | 1.566685 |
| 1.07186 | 1.566642 |
| 1.07519 | 1.566599 |
| 1.07853 | 1.566557 |
| 1.08187 | 1.566514 |
| 1.08523 | 1.566472 |
| 1.0886 | 1.566431 |
| 1.09198 | 1.566389 |
| 1.09537 | 1.566348 |
| 1.09877 | 1.566307 |
| 1.10218 | 1.566267 |
| 1.1056 | 1.566226 |
| 1.10904 | 1.566186 |
| 1.11248 | 1.566147 |
| 1.11593 | 1.566107 |
| 1.1194 | 1.566068 |
| 1.12287 | 1.566029 |
| 1.12636 | 1.56599 |
| 1.12986 | 1.565952 |
| 1.13336 | 1.565913 |
| 1.13688 | 1.565875 |
| 1.14041 | 1.565838 |
| 1.14395 | 1.5658 |
| 1.1475 | 1.565763 |
| 1.15107 | 1.565726 |
| 1.15464 | 1.565689 |
| 1.15822 | 1.565653 |
| 1.16182 | 1.565617 |
| 1.16543 | 1.565581 |
| 1.16904 | 1.565545 |
| 1.17267 | 1.565509 |
| 1.17631 | 1.565474 |
| 1.17997 | 1.565439 |
| 1.18363 | 1.565404 |
| 1.1873 | 1.56537 |
| 1.19099 | 1.565335 |
| 1.19469 | 1.565301 |
| 1.1984 | 1.565267 |
| 1.20212 | 1.565234 |
| 1.20585 | 1.5652 |
| 1.20959 | 1.565167 |
| 1.21335 | 1.565134 |
| 1.21711 | 1.565101 |
| 1.22089 | 1.565068 |
| 1.22468 | 1.565036 |
| 1.22848 | 1.565004 |
| 1.2323 | 1.564972 |
| 1.23612 | 1.56494 |
| 1.23996 | 1.564909 |
| 1.24381 | 1.564877 |
| 1.24767 | 1.564846 |
| 1.25154 | 1.564815 |
| 1.25543 | 1.564785 |
| 1.25933 | 1.564754 |
| 1.26324 | 1.564724 |
| 1.26716 | 1.564694 |
| 1.27109 | 1.564664 |
| 1.27504 | 1.564634 |
| 1.279 | 1.564605 |
| 1.28297 | 1.564575 |
| 1.28695 | 1.564546 |
| 1.29095 | 1.564517 |
| 1.29495 | 1.564488 |
| 1.29897 | 1.56446 |
| 1.30301 | 1.564431 |
| 1.30705 | 1.564403 |
| 1.31111 | 1.564375 |
| 1.31518 | 1.564347 |
| 1.31926 | 1.56432 |
| 1.32336 | 1.564292 |
| 1.32747 | 1.564265 |
| 1.33159 | 1.564238 |
| 1.33572 | 1.564211 |
| 1.33987 | 1.564184 |
| 1.34403 | 1.564158 |
| 1.3482 | 1.564131 |
| 1.35239 | 1.564105 |
| 1.35658 | 1.564079 |
| 1.3608 | 1.564053 |
| 1.36502 | 1.564027 |
| 1.36926 | 1.564002 |
| 1.37351 | 1.563976 |
| 1.37777 | 1.563951 |
| 1.38205 | 1.563926 |
| 1.38634 | 1.563901 |
| 1.39064 | 1.563876 |
| 1.39496 | 1.563852 |
| 1.39929 | 1.563827 |
| 1.40364 | 1.563803 |
| 1.40799 | 1.563779 |
| 1.41236 | 1.563755 |
| 1.41675 | 1.563731 |
| 1.42115 | 1.563708 |
| 1.42556 | 1.563684 |
| 1.42998 | 1.563661 |
| 1.43442 | 1.563638 |
| 1.43888 | 1.563615 |
| 1.44334 | 1.563592 |
| 1.44783 | 1.563569 |
| 1.45232 | 1.563546 |
| 1.45683 | 1.563524 |
| 1.46135 | 1.563502 |
| 1.46589 | 1.563479 |
| 1.47044 | 1.563457 |
| 1.475 | 1.563436 |
| 1.47958 | 1.563414 |
| 1.48418 | 1.563392 |
| 1.48878 | 1.563371 |
| 1.49341 | 1.56335 |
| 1.49804 | 1.563328 |
| 1.50269 | 1.563307 |
| 1.50736 | 1.563286 |
| 1.51204 | 1.563266 |
| 1.51673 | 1.563245 |
| 1.52144 | 1.563225 |
| 1.52616 | 1.563204 |
| 1.5309 | 1.563184 |
| 1.53565 | 1.563164 |
| 1.54042 | 1.563144 |
| 1.5452 | 1.563124 |
| 1.55 | 1.563104 |
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 EpoClad negative photoresist for waveguide manufacturing