Optical constants
Refractive index of (C5H8O2)n (Poly(methyl methacrylate), PMMA)
Nyakuchena et al. 2023: n 1.10–1.65 µm
- Data
- formula 5
- Range
- 1.1–1.65 µm
- Temperature
- 296 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.47801
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.18452
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0034234 µm⁻¹
- Group index ng
- 1.48263
- Group velocity dispersion
- 13.0873 fs²/mm
- Dispersion parameter D
- -13.5265 ps/(nm·km)
- Photon energy
- 0.918401 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
# (C5H8O2)n (Poly(methyl methacrylate), PMMA): Nyakuchena et al. 2023: n 1.10–1.65 µm
mat = ls.fetch_refractiveindex("organic", "poly_methyl_methacrylate", "Nyakuchena", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm) # (1100, 1650) nm
eps = mat.eps([1350]) # 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_32953db9d8fa/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 (poly-methyl-methacrylate/nyakuchena-2023).
# ... 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=1100, stop_nm=1650, 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 1.1 to 1.65 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.4778 |
| C2 | -0.00057547 |
| C3 | 2.0 |
| C4 | 0.0023 |
| C5 | -2.0 |
Comments and conditions
Conditions
- temperature
- 296 K
References
- doi:10.1039/d3cp03158f Refractive index dispersion measurement in the short-wave infrared range using synthetic phase microscopy, Physical Chemistry Chemical Physics (2023)
Cite
Melisa Nyakuchena, Cory Juntunen, Peter Shea and Yongjin Sung. Refractive index dispersion measurement in the short-wave infrared range using synthetic phase microscopy. Physical Chemistry Chemical Physics, 25, 23141-23149 (2023), doi:10.1039/d3cp03158f; 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 |
|---|---|
| 1.1 | 1.479005 |
| 1.10112 | 1.478999 |
| 1.10224 | 1.478994 |
| 1.10336 | 1.478989 |
| 1.10448 | 1.478983 |
| 1.1056 | 1.478978 |
| 1.10673 | 1.478973 |
| 1.10785 | 1.478968 |
| 1.10898 | 1.478962 |
| 1.11011 | 1.478957 |
| 1.11124 | 1.478952 |
| 1.11237 | 1.478947 |
| 1.1135 | 1.478942 |
| 1.11463 | 1.478936 |
| 1.11576 | 1.478931 |
| 1.1169 | 1.478926 |
| 1.11803 | 1.478921 |
| 1.11917 | 1.478915 |
| 1.12031 | 1.47891 |
| 1.12145 | 1.478905 |
| 1.12259 | 1.4789 |
| 1.12373 | 1.478895 |
| 1.12487 | 1.47889 |
| 1.12601 | 1.478884 |
| 1.12716 | 1.478879 |
| 1.1283 | 1.478874 |
| 1.12945 | 1.478869 |
| 1.1306 | 1.478864 |
| 1.13175 | 1.478859 |
| 1.1329 | 1.478853 |
| 1.13405 | 1.478848 |
| 1.1352 | 1.478843 |
| 1.13636 | 1.478838 |
| 1.13751 | 1.478833 |
| 1.13867 | 1.478828 |
| 1.13983 | 1.478823 |
| 1.14099 | 1.478818 |
| 1.14215 | 1.478812 |
| 1.14331 | 1.478807 |
| 1.14447 | 1.478802 |
| 1.14563 | 1.478797 |
| 1.1468 | 1.478792 |
| 1.14796 | 1.478787 |
| 1.14913 | 1.478782 |
| 1.1503 | 1.478777 |
| 1.15147 | 1.478772 |
| 1.15264 | 1.478767 |
| 1.15381 | 1.478762 |
| 1.15499 | 1.478756 |
| 1.15616 | 1.478751 |
| 1.15734 | 1.478746 |
| 1.15851 | 1.478741 |
| 1.15969 | 1.478736 |
| 1.16087 | 1.478731 |
| 1.16205 | 1.478726 |
| 1.16323 | 1.478721 |
| 1.16441 | 1.478716 |
| 1.1656 | 1.478711 |
| 1.16678 | 1.478706 |
| 1.16797 | 1.478701 |
| 1.16916 | 1.478696 |
| 1.17035 | 1.478691 |
| 1.17153 | 1.478686 |
| 1.17273 | 1.478681 |
| 1.17392 | 1.478676 |
| 1.17511 | 1.478671 |
| 1.17631 | 1.478666 |
| 1.1775 | 1.478661 |
| 1.1787 | 1.478656 |
| 1.1799 | 1.478651 |
| 1.1811 | 1.478646 |
| 1.1823 | 1.478641 |
| 1.1835 | 1.478636 |
| 1.1847 | 1.478631 |
| 1.18591 | 1.478626 |
| 1.18711 | 1.478621 |
| 1.18832 | 1.478616 |
| 1.18953 | 1.478611 |
| 1.19074 | 1.478606 |
| 1.19195 | 1.478601 |
| 1.19316 | 1.478596 |
| 1.19437 | 1.478591 |
| 1.19559 | 1.478586 |
| 1.1968 | 1.478581 |
| 1.19802 | 1.478577 |
| 1.19924 | 1.478572 |
| 1.20046 | 1.478567 |
| 1.20168 | 1.478562 |
| 1.2029 | 1.478557 |
| 1.20412 | 1.478552 |
| 1.20535 | 1.478547 |
| 1.20657 | 1.478542 |
| 1.2078 | 1.478537 |
| 1.20903 | 1.478532 |
| 1.21026 | 1.478527 |
| 1.21149 | 1.478522 |
| 1.21272 | 1.478518 |
| 1.21395 | 1.478513 |
| 1.21519 | 1.478508 |
| 1.21642 | 1.478503 |
| 1.21766 | 1.478498 |
| 1.2189 | 1.478493 |
| 1.22014 | 1.478488 |
| 1.22138 | 1.478483 |
| 1.22262 | 1.478478 |
| 1.22386 | 1.478474 |
| 1.22511 | 1.478469 |
| 1.22635 | 1.478464 |
| 1.2276 | 1.478459 |
| 1.22885 | 1.478454 |
| 1.2301 | 1.478449 |
| 1.23135 | 1.478444 |
| 1.2326 | 1.47844 |
| 1.23385 | 1.478435 |
| 1.23511 | 1.47843 |
| 1.23636 | 1.478425 |
| 1.23762 | 1.47842 |
| 1.23888 | 1.478415 |
| 1.24014 | 1.47841 |
| 1.2414 | 1.478406 |
| 1.24266 | 1.478401 |
| 1.24392 | 1.478396 |
| 1.24519 | 1.478391 |
| 1.24645 | 1.478386 |
| 1.24772 | 1.478381 |
| 1.24899 | 1.478377 |
| 1.25026 | 1.478372 |
| 1.25153 | 1.478367 |
| 1.2528 | 1.478362 |
| 1.25408 | 1.478357 |
| 1.25535 | 1.478353 |
| 1.25663 | 1.478348 |
| 1.25791 | 1.478343 |
| 1.25919 | 1.478338 |
| 1.26047 | 1.478333 |
| 1.26175 | 1.478329 |
| 1.26303 | 1.478324 |
| 1.26431 | 1.478319 |
| 1.2656 | 1.478314 |
| 1.26689 | 1.478309 |
| 1.26817 | 1.478305 |
| 1.26946 | 1.4783 |
| 1.27075 | 1.478295 |
| 1.27205 | 1.47829 |
| 1.27334 | 1.478285 |
| 1.27463 | 1.478281 |
| 1.27593 | 1.478276 |
| 1.27723 | 1.478271 |
| 1.27853 | 1.478266 |
| 1.27983 | 1.478262 |
| 1.28113 | 1.478257 |
| 1.28243 | 1.478252 |
| 1.28373 | 1.478247 |
| 1.28504 | 1.478243 |
| 1.28635 | 1.478238 |
| 1.28765 | 1.478233 |
| 1.28896 | 1.478228 |
| 1.29027 | 1.478223 |
| 1.29159 | 1.478219 |
| 1.2929 | 1.478214 |
| 1.29421 | 1.478209 |
| 1.29553 | 1.478204 |
| 1.29685 | 1.4782 |
| 1.29816 | 1.478195 |
| 1.29948 | 1.47819 |
| 1.30081 | 1.478186 |
| 1.30213 | 1.478181 |
| 1.30345 | 1.478176 |
| 1.30478 | 1.478171 |
| 1.3061 | 1.478167 |
| 1.30743 | 1.478162 |
| 1.30876 | 1.478157 |
| 1.31009 | 1.478152 |
| 1.31142 | 1.478148 |
| 1.31276 | 1.478143 |
| 1.31409 | 1.478138 |
| 1.31543 | 1.478133 |
| 1.31677 | 1.478129 |
| 1.3181 | 1.478124 |
| 1.31944 | 1.478119 |
| 1.32079 | 1.478115 |
| 1.32213 | 1.47811 |
| 1.32347 | 1.478105 |
| 1.32482 | 1.4781 |
| 1.32617 | 1.478096 |
| 1.32751 | 1.478091 |
| 1.32886 | 1.478086 |
| 1.33021 | 1.478082 |
| 1.33157 | 1.478077 |
| 1.33292 | 1.478072 |
| 1.33428 | 1.478067 |
| 1.33563 | 1.478063 |
| 1.33699 | 1.478058 |
| 1.33835 | 1.478053 |
| 1.33971 | 1.478049 |
| 1.34107 | 1.478044 |
| 1.34244 | 1.478039 |
| 1.3438 | 1.478034 |
| 1.34517 | 1.47803 |
| 1.34654 | 1.478025 |
| 1.3479 | 1.47802 |
| 1.34927 | 1.478016 |
| 1.35065 | 1.478011 |
| 1.35202 | 1.478006 |
| 1.35339 | 1.478002 |
| 1.35477 | 1.477997 |
| 1.35615 | 1.477992 |
| 1.35753 | 1.477988 |
| 1.35891 | 1.477983 |
| 1.36029 | 1.477978 |
| 1.36167 | 1.477973 |
| 1.36306 | 1.477969 |
| 1.36444 | 1.477964 |
| 1.36583 | 1.477959 |
| 1.36722 | 1.477955 |
| 1.36861 | 1.47795 |
| 1.37 | 1.477945 |
| 1.37139 | 1.477941 |
| 1.37279 | 1.477936 |
| 1.37418 | 1.477931 |
| 1.37558 | 1.477927 |
| 1.37698 | 1.477922 |
| 1.37838 | 1.477917 |
| 1.37978 | 1.477913 |
| 1.38118 | 1.477908 |
| 1.38259 | 1.477903 |
| 1.38399 | 1.477898 |
| 1.3854 | 1.477894 |
| 1.38681 | 1.477889 |
| 1.38822 | 1.477884 |
| 1.38963 | 1.47788 |
| 1.39104 | 1.477875 |
| 1.39246 | 1.47787 |
| 1.39387 | 1.477866 |
| 1.39529 | 1.477861 |
| 1.39671 | 1.477856 |
| 1.39813 | 1.477852 |
| 1.39955 | 1.477847 |
| 1.40097 | 1.477842 |
| 1.4024 | 1.477838 |
| 1.40382 | 1.477833 |
| 1.40525 | 1.477828 |
| 1.40668 | 1.477824 |
| 1.40811 | 1.477819 |
| 1.40954 | 1.477814 |
| 1.41097 | 1.47781 |
| 1.41241 | 1.477805 |
| 1.41384 | 1.4778 |
| 1.41528 | 1.477796 |
| 1.41672 | 1.477791 |
| 1.41816 | 1.477786 |
| 1.4196 | 1.477782 |
| 1.42105 | 1.477777 |
| 1.42249 | 1.477772 |
| 1.42394 | 1.477768 |
| 1.42539 | 1.477763 |
| 1.42683 | 1.477758 |
| 1.42828 | 1.477753 |
| 1.42974 | 1.477749 |
| 1.43119 | 1.477744 |
| 1.43265 | 1.477739 |
| 1.4341 | 1.477735 |
| 1.43556 | 1.47773 |
| 1.43702 | 1.477725 |
| 1.43848 | 1.477721 |
| 1.43994 | 1.477716 |
| 1.44141 | 1.477711 |
| 1.44287 | 1.477707 |
| 1.44434 | 1.477702 |
| 1.44581 | 1.477697 |
| 1.44728 | 1.477693 |
| 1.44875 | 1.477688 |
| 1.45022 | 1.477683 |
| 1.4517 | 1.477679 |
| 1.45317 | 1.477674 |
| 1.45465 | 1.477669 |
| 1.45613 | 1.477665 |
| 1.45761 | 1.47766 |
| 1.45909 | 1.477655 |
| 1.46058 | 1.477651 |
| 1.46206 | 1.477646 |
| 1.46355 | 1.477641 |
| 1.46504 | 1.477636 |
| 1.46653 | 1.477632 |
| 1.46802 | 1.477627 |
| 1.46951 | 1.477622 |
| 1.471 | 1.477618 |
| 1.4725 | 1.477613 |
| 1.474 | 1.477608 |
| 1.47549 | 1.477604 |
| 1.47699 | 1.477599 |
| 1.4785 | 1.477594 |
| 1.48 | 1.47759 |
| 1.4815 | 1.477585 |
| 1.48301 | 1.47758 |
| 1.48452 | 1.477575 |
| 1.48603 | 1.477571 |
| 1.48754 | 1.477566 |
| 1.48905 | 1.477561 |
| 1.49056 | 1.477557 |
| 1.49208 | 1.477552 |
| 1.4936 | 1.477547 |
| 1.49512 | 1.477543 |
| 1.49664 | 1.477538 |
| 1.49816 | 1.477533 |
| 1.49968 | 1.477528 |
| 1.50121 | 1.477524 |
| 1.50273 | 1.477519 |
| 1.50426 | 1.477514 |
| 1.50579 | 1.47751 |
| 1.50732 | 1.477505 |
| 1.50885 | 1.4775 |
| 1.51039 | 1.477495 |
| 1.51192 | 1.477491 |
| 1.51346 | 1.477486 |
| 1.515 | 1.477481 |
| 1.51654 | 1.477477 |
| 1.51808 | 1.477472 |
| 1.51962 | 1.477467 |
| 1.52117 | 1.477462 |
| 1.52272 | 1.477458 |
| 1.52426 | 1.477453 |
| 1.52581 | 1.477448 |
| 1.52736 | 1.477443 |
| 1.52892 | 1.477439 |
| 1.53047 | 1.477434 |
| 1.53203 | 1.477429 |
| 1.53359 | 1.477424 |
| 1.53515 | 1.47742 |
| 1.53671 | 1.477415 |
| 1.53827 | 1.47741 |
| 1.53983 | 1.477406 |
| 1.5414 | 1.477401 |
| 1.54296 | 1.477396 |
| 1.54453 | 1.477391 |
| 1.5461 | 1.477387 |
| 1.54768 | 1.477382 |
| 1.54925 | 1.477377 |
| 1.55082 | 1.477372 |
| 1.5524 | 1.477368 |
| 1.55398 | 1.477363 |
| 1.55556 | 1.477358 |
| 1.55714 | 1.477353 |
| 1.55872 | 1.477348 |
| 1.56031 | 1.477344 |
| 1.5619 | 1.477339 |
| 1.56348 | 1.477334 |
| 1.56507 | 1.477329 |
| 1.56666 | 1.477325 |
| 1.56826 | 1.47732 |
| 1.56985 | 1.477315 |
| 1.57145 | 1.47731 |
| 1.57305 | 1.477306 |
| 1.57465 | 1.477301 |
| 1.57625 | 1.477296 |
| 1.57785 | 1.477291 |
| 1.57945 | 1.477286 |
| 1.58106 | 1.477282 |
| 1.58267 | 1.477277 |
| 1.58428 | 1.477272 |
| 1.58589 | 1.477267 |
| 1.5875 | 1.477262 |
| 1.58911 | 1.477258 |
| 1.59073 | 1.477253 |
| 1.59235 | 1.477248 |
| 1.59396 | 1.477243 |
| 1.59559 | 1.477238 |
| 1.59721 | 1.477234 |
| 1.59883 | 1.477229 |
| 1.60046 | 1.477224 |
| 1.60208 | 1.477219 |
| 1.60371 | 1.477214 |
| 1.60534 | 1.477209 |
| 1.60698 | 1.477205 |
| 1.60861 | 1.4772 |
| 1.61025 | 1.477195 |
| 1.61188 | 1.47719 |
| 1.61352 | 1.477185 |
| 1.61516 | 1.47718 |
| 1.6168 | 1.477176 |
| 1.61845 | 1.477171 |
| 1.62009 | 1.477166 |
| 1.62174 | 1.477161 |
| 1.62339 | 1.477156 |
| 1.62504 | 1.477151 |
| 1.62669 | 1.477146 |
| 1.62835 | 1.477142 |
| 1.63 | 1.477137 |
| 1.63166 | 1.477132 |
| 1.63332 | 1.477127 |
| 1.63498 | 1.477122 |
| 1.63664 | 1.477117 |
| 1.6383 | 1.477112 |
| 1.63997 | 1.477107 |
| 1.64164 | 1.477103 |
| 1.64331 | 1.477098 |
| 1.64498 | 1.477093 |
| 1.64665 | 1.477088 |
| 1.64832 | 1.477083 |
| 1.65 | 1.477078 |
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
- —
Polymer microspheres. 23 °C