Optical constants
Refractive index of CH4N2O (Urea)
Rosker et al. 1985: n(o) 0.3–1.06 µm
- Data
- formula 4
- Range
- 0.3–1.06 µm
- Optical axis
- o
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.49062
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.22195
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 49.84
- Chromatic dispersion dn/dλ
- -0.0495735 µm⁻¹
- Group index ng
- 1.51975
- Group velocity dispersion
- 101.876 fs²/mm
- Dispersion parameter D
- -555.786 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
# CH4N2O (Urea): Rosker et al. 1985: n(o) 0.3–1.06 µm
ch4n2o = ls.fetch_refractiveindex("organic", "urea", "Rosker-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ch4n2o.range_nm) # (300, 1060) nm
eps = ch4n2o.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_ca3125162f9a/lightsmith"
ch4n2o = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ch4n2o.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (urea/rosker-1985-o).
# ... load ch4n2o as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ch4n2o)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, 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
RefractiveIndex.INFO (formula 4), λ in µmValid from 0.3 to 1.06 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 2.1823 |
| C2 | 0.0125 |
| C3 | 0.0 |
| C4 | 0.03 |
| C5 | 1.0 |
| C6 | 0.0 |
| C7 | 0.0 |
| C8 | 0.0 |
| C9 | 1.0 |
Comments and conditions
Conditions
- direction
- o
References
- doi:10.1109/jqe.1985.1072557 Practical urea optical parametric oscillator for tunable generation throughout the visible and near-infrared, IEEE Journal of Quantum Electronics (1985)
Cite
M. Rosker, K. Cheng and C. Tang. Practical urea optical parametric oscillator for tunable generation throughout the visible and near-infrared. IEEE Journal of Quantum Electronics, 21, 1600-1606 (1985), doi:10.1109/jqe.1985.1072557; 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 |
|---|---|
| 0.3 | 1.546167 |
| 0.300951 | 1.545532 |
| 0.301904 | 1.544904 |
| 0.302861 | 1.544284 |
| 0.30382 | 1.543671 |
| 0.304783 | 1.543066 |
| 0.305749 | 1.542467 |
| 0.306717 | 1.541876 |
| 0.307689 | 1.541292 |
| 0.308664 | 1.540715 |
| 0.309642 | 1.540144 |
| 0.310623 | 1.53958 |
| 0.311608 | 1.539023 |
| 0.312595 | 1.538472 |
| 0.313585 | 1.537927 |
| 0.314579 | 1.537389 |
| 0.315576 | 1.536857 |
| 0.316576 | 1.536331 |
| 0.317579 | 1.53581 |
| 0.318585 | 1.535296 |
| 0.319594 | 1.534788 |
| 0.320607 | 1.534285 |
| 0.321623 | 1.533787 |
| 0.322642 | 1.533296 |
| 0.323664 | 1.532809 |
| 0.32469 | 1.532329 |
| 0.325719 | 1.531853 |
| 0.326751 | 1.531383 |
| 0.327786 | 1.530917 |
| 0.328825 | 1.530457 |
| 0.329866 | 1.530002 |
| 0.330912 | 1.529551 |
| 0.33196 | 1.529106 |
| 0.333012 | 1.528665 |
| 0.334067 | 1.528229 |
| 0.335126 | 1.527798 |
| 0.336187 | 1.527371 |
| 0.337253 | 1.526949 |
| 0.338321 | 1.526531 |
| 0.339393 | 1.526118 |
| 0.340469 | 1.525708 |
| 0.341547 | 1.525304 |
| 0.34263 | 1.524903 |
| 0.343715 | 1.524506 |
| 0.344804 | 1.524114 |
| 0.345897 | 1.523726 |
| 0.346993 | 1.523341 |
| 0.348092 | 1.522961 |
| 0.349195 | 1.522584 |
| 0.350302 | 1.522211 |
| 0.351412 | 1.521842 |
| 0.352525 | 1.521477 |
| 0.353642 | 1.521115 |
| 0.354763 | 1.520757 |
| 0.355887 | 1.520403 |
| 0.357014 | 1.520052 |
| 0.358145 | 1.519705 |
| 0.35928 | 1.519361 |
| 0.360419 | 1.51902 |
| 0.361561 | 1.518683 |
| 0.362706 | 1.518349 |
| 0.363855 | 1.518019 |
| 0.365008 | 1.517692 |
| 0.366165 | 1.517367 |
| 0.367325 | 1.517046 |
| 0.368489 | 1.516728 |
| 0.369657 | 1.516414 |
| 0.370828 | 1.516102 |
| 0.372003 | 1.515793 |
| 0.373181 | 1.515487 |
| 0.374364 | 1.515184 |
| 0.37555 | 1.514884 |
| 0.37674 | 1.514587 |
| 0.377934 | 1.514293 |
| 0.379131 | 1.514001 |
| 0.380333 | 1.513712 |
| 0.381538 | 1.513426 |
| 0.382747 | 1.513143 |
| 0.383959 | 1.512862 |
| 0.385176 | 1.512584 |
| 0.386396 | 1.512308 |
| 0.387621 | 1.512035 |
| 0.388849 | 1.511765 |
| 0.390081 | 1.511497 |
| 0.391317 | 1.511231 |
| 0.392557 | 1.510968 |
| 0.393801 | 1.510707 |
| 0.395048 | 1.510449 |
| 0.3963 | 1.510193 |
| 0.397556 | 1.50994 |
| 0.398815 | 1.509688 |
| 0.400079 | 1.509439 |
| 0.401347 | 1.509193 |
| 0.402618 | 1.508948 |
| 0.403894 | 1.508706 |
| 0.405174 | 1.508466 |
| 0.406458 | 1.508228 |
| 0.407746 | 1.507992 |
| 0.409037 | 1.507758 |
| 0.410334 | 1.507526 |
| 0.411634 | 1.507297 |
| 0.412938 | 1.507069 |
| 0.414246 | 1.506843 |
| 0.415559 | 1.50662 |
| 0.416876 | 1.506398 |
| 0.418196 | 1.506178 |
| 0.419522 | 1.505961 |
| 0.420851 | 1.505745 |
| 0.422184 | 1.505531 |
| 0.423522 | 1.505319 |
| 0.424864 | 1.505108 |
| 0.42621 | 1.5049 |
| 0.427561 | 1.504693 |
| 0.428915 | 1.504488 |
| 0.430274 | 1.504285 |
| 0.431638 | 1.504084 |
| 0.433005 | 1.503884 |
| 0.434377 | 1.503686 |
| 0.435754 | 1.50349 |
| 0.437134 | 1.503296 |
| 0.438519 | 1.503103 |
| 0.439909 | 1.502912 |
| 0.441303 | 1.502722 |
| 0.442701 | 1.502534 |
| 0.444104 | 1.502348 |
| 0.445511 | 1.502163 |
| 0.446922 | 1.501979 |
| 0.448339 | 1.501798 |
| 0.449759 | 1.501617 |
| 0.451184 | 1.501439 |
| 0.452614 | 1.501261 |
| 0.454048 | 1.501086 |
| 0.455487 | 1.500911 |
| 0.45693 | 1.500739 |
| 0.458378 | 1.500567 |
| 0.45983 | 1.500397 |
| 0.461287 | 1.500229 |
| 0.462749 | 1.500062 |
| 0.464215 | 1.499896 |
| 0.465686 | 1.499731 |
| 0.467161 | 1.499568 |
| 0.468641 | 1.499406 |
| 0.470126 | 1.499246 |
| 0.471616 | 1.499087 |
| 0.47311 | 1.498929 |
| 0.474609 | 1.498773 |
| 0.476113 | 1.498617 |
| 0.477622 | 1.498463 |
| 0.479135 | 1.498311 |
| 0.480653 | 1.498159 |
| 0.482176 | 1.498009 |
| 0.483704 | 1.49786 |
| 0.485237 | 1.497712 |
| 0.486774 | 1.497565 |
| 0.488316 | 1.49742 |
| 0.489864 | 1.497275 |
| 0.491416 | 1.497132 |
| 0.492973 | 1.49699 |
| 0.494535 | 1.496849 |
| 0.496102 | 1.496709 |
| 0.497674 | 1.496571 |
| 0.499251 | 1.496433 |
| 0.500832 | 1.496297 |
| 0.502419 | 1.496161 |
| 0.504011 | 1.496027 |
| 0.505608 | 1.495894 |
| 0.50721 | 1.495762 |
| 0.508817 | 1.49563 |
| 0.51043 | 1.4955 |
| 0.512047 | 1.495371 |
| 0.513669 | 1.495243 |
| 0.515297 | 1.495116 |
| 0.51693 | 1.49499 |
| 0.518568 | 1.494865 |
| 0.520211 | 1.494741 |
| 0.521859 | 1.494617 |
| 0.523512 | 1.494495 |
| 0.525171 | 1.494374 |
| 0.526835 | 1.494254 |
| 0.528504 | 1.494134 |
| 0.530179 | 1.494016 |
| 0.531859 | 1.493898 |
| 0.533544 | 1.493782 |
| 0.535235 | 1.493666 |
| 0.536931 | 1.493551 |
| 0.538632 | 1.493437 |
| 0.540339 | 1.493324 |
| 0.542051 | 1.493212 |
| 0.543768 | 1.4931 |
| 0.545491 | 1.49299 |
| 0.547219 | 1.49288 |
| 0.548953 | 1.492771 |
| 0.550693 | 1.492663 |
| 0.552438 | 1.492556 |
| 0.554188 | 1.49245 |
| 0.555944 | 1.492344 |
| 0.557705 | 1.492239 |
| 0.559473 | 1.492135 |
| 0.561245 | 1.492032 |
| 0.563024 | 1.49193 |
| 0.564808 | 1.491828 |
| 0.566597 | 1.491727 |
| 0.568392 | 1.491627 |
| 0.570193 | 1.491528 |
| 0.572 | 1.491429 |
| 0.573812 | 1.491331 |
| 0.575631 | 1.491234 |
| 0.577455 | 1.491138 |
| 0.579284 | 1.491042 |
| 0.58112 | 1.490947 |
| 0.582961 | 1.490853 |
| 0.584808 | 1.49076 |
| 0.586661 | 1.490667 |
| 0.58852 | 1.490575 |
| 0.590385 | 1.490483 |
| 0.592255 | 1.490392 |
| 0.594132 | 1.490302 |
| 0.596014 | 1.490213 |
| 0.597903 | 1.490124 |
| 0.599797 | 1.490036 |
| 0.601698 | 1.489948 |
| 0.603604 | 1.489862 |
| 0.605517 | 1.489775 |
| 0.607435 | 1.48969 |
| 0.60936 | 1.489605 |
| 0.611291 | 1.489521 |
| 0.613228 | 1.489437 |
| 0.615171 | 1.489354 |
| 0.61712 | 1.489271 |
| 0.619075 | 1.489189 |
| 0.621037 | 1.489108 |
| 0.623005 | 1.489028 |
| 0.624979 | 1.488947 |
| 0.626959 | 1.488868 |
| 0.628945 | 1.488789 |
| 0.630938 | 1.488711 |
| 0.632937 | 1.488633 |
| 0.634943 | 1.488556 |
| 0.636955 | 1.488479 |
| 0.638973 | 1.488403 |
| 0.640998 | 1.488328 |
| 0.643029 | 1.488253 |
| 0.645066 | 1.488178 |
| 0.64711 | 1.488104 |
| 0.64916 | 1.488031 |
| 0.651217 | 1.487958 |
| 0.653281 | 1.487886 |
| 0.65535 | 1.487814 |
| 0.657427 | 1.487743 |
| 0.65951 | 1.487672 |
| 0.6616 | 1.487602 |
| 0.663696 | 1.487532 |
| 0.665799 | 1.487463 |
| 0.667909 | 1.487394 |
| 0.670025 | 1.487326 |
| 0.672148 | 1.487258 |
| 0.674278 | 1.487191 |
| 0.676414 | 1.487124 |
| 0.678557 | 1.487058 |
| 0.680707 | 1.486992 |
| 0.682864 | 1.486926 |
| 0.685028 | 1.486861 |
| 0.687198 | 1.486797 |
| 0.689376 | 1.486733 |
| 0.69156 | 1.486669 |
| 0.693751 | 1.486606 |
| 0.695949 | 1.486544 |
| 0.698155 | 1.486481 |
| 0.700367 | 1.48642 |
| 0.702586 | 1.486358 |
| 0.704812 | 1.486298 |
| 0.707045 | 1.486237 |
| 0.709285 | 1.486177 |
| 0.711533 | 1.486117 |
| 0.713787 | 1.486058 |
| 0.716049 | 1.486 |
| 0.718318 | 1.485941 |
| 0.720594 | 1.485883 |
| 0.722877 | 1.485826 |
| 0.725167 | 1.485769 |
| 0.727465 | 1.485712 |
| 0.72977 | 1.485656 |
| 0.732082 | 1.4856 |
| 0.734402 | 1.485544 |
| 0.736729 | 1.485489 |
| 0.739063 | 1.485434 |
| 0.741405 | 1.48538 |
| 0.743754 | 1.485326 |
| 0.746111 | 1.485272 |
| 0.748475 | 1.485219 |
| 0.750847 | 1.485166 |
| 0.753226 | 1.485114 |
| 0.755612 | 1.485061 |
| 0.758006 | 1.48501 |
| 0.760408 | 1.484958 |
| 0.762818 | 1.484907 |
| 0.765235 | 1.484857 |
| 0.767659 | 1.484806 |
| 0.770092 | 1.484756 |
| 0.772532 | 1.484707 |
| 0.774979 | 1.484657 |
| 0.777435 | 1.484608 |
| 0.779898 | 1.48456 |
| 0.782369 | 1.484511 |
| 0.784848 | 1.484463 |
| 0.787335 | 1.484416 |
| 0.78983 | 1.484368 |
| 0.792332 | 1.484322 |
| 0.794843 | 1.484275 |
| 0.797361 | 1.484229 |
| 0.799888 | 1.484183 |
| 0.802422 | 1.484137 |
| 0.804965 | 1.484091 |
| 0.807515 | 1.484046 |
| 0.810074 | 1.484002 |
| 0.812641 | 1.483957 |
| 0.815216 | 1.483913 |
| 0.817799 | 1.483869 |
| 0.82039 | 1.483826 |
| 0.822989 | 1.483783 |
| 0.825597 | 1.48374 |
| 0.828213 | 1.483697 |
| 0.830837 | 1.483655 |
| 0.83347 | 1.483613 |
| 0.83611 | 1.483571 |
| 0.83876 | 1.483529 |
| 0.841417 | 1.483488 |
| 0.844083 | 1.483447 |
| 0.846758 | 1.483407 |
| 0.849441 | 1.483366 |
| 0.852132 | 1.483326 |
| 0.854832 | 1.483286 |
| 0.857541 | 1.483247 |
| 0.860258 | 1.483208 |
| 0.862984 | 1.483169 |
| 0.865718 | 1.48313 |
| 0.868461 | 1.483091 |
| 0.871213 | 1.483053 |
| 0.873973 | 1.483015 |
| 0.876743 | 1.482977 |
| 0.879521 | 1.48294 |
| 0.882307 | 1.482903 |
| 0.885103 | 1.482866 |
| 0.887907 | 1.482829 |
| 0.890721 | 1.482793 |
| 0.893543 | 1.482757 |
| 0.896374 | 1.482721 |
| 0.899214 | 1.482685 |
| 0.902064 | 1.48265 |
| 0.904922 | 1.482614 |
| 0.907789 | 1.482579 |
| 0.910665 | 1.482545 |
| 0.913551 | 1.48251 |
| 0.916445 | 1.482476 |
| 0.919349 | 1.482442 |
| 0.922262 | 1.482408 |
| 0.925184 | 1.482374 |
| 0.928116 | 1.482341 |
| 0.931057 | 1.482308 |
| 0.934007 | 1.482275 |
| 0.936966 | 1.482242 |
| 0.939935 | 1.48221 |
| 0.942913 | 1.482178 |
| 0.945901 | 1.482146 |
| 0.948898 | 1.482114 |
| 0.951905 | 1.482082 |
| 0.954921 | 1.482051 |
| 0.957946 | 1.48202 |
| 0.960982 | 1.481989 |
| 0.964027 | 1.481958 |
| 0.967081 | 1.481927 |
| 0.970145 | 1.481897 |
| 0.973219 | 1.481867 |
| 0.976303 | 1.481837 |
| 0.979396 | 1.481807 |
| 0.9825 | 1.481778 |
| 0.985613 | 1.481748 |
| 0.988736 | 1.481719 |
| 0.991868 | 1.48169 |
| 0.995011 | 1.481661 |
| 0.998164 | 1.481633 |
| 1.00133 | 1.481604 |
| 1.0045 | 1.481576 |
| 1.00768 | 1.481548 |
| 1.01087 | 1.48152 |
| 1.01408 | 1.481493 |
| 1.01729 | 1.481465 |
| 1.02051 | 1.481438 |
| 1.02375 | 1.481411 |
| 1.02699 | 1.481384 |
| 1.03025 | 1.481357 |
| 1.03351 | 1.481331 |
| 1.03678 | 1.481304 |
| 1.04007 | 1.481278 |
| 1.04337 | 1.481252 |
| 1.04667 | 1.481226 |
| 1.04999 | 1.481201 |
| 1.05331 | 1.481175 |
| 1.05665 | 1.48115 |
| 1.06 | 1.481125 |
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
- —
Room temperature. Ordinary ray (o).