Optical constants
Refractive index of CH4N2O (Urea)
Rosker et al. 1985: n(e) 0.3–1.06 µm
- Data
- formula 9
- Range
- 0.3–1.06 µm
- Optical axis
- e
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.60646
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.58072
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 34.602
- Chromatic dispersion dn/dλ
- -0.0883018 µm⁻¹
- Group index ng
- 1.65835
- Group velocity dispersion
- 182.187 fs²/mm
- Dispersion parameter D
- -993.929 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(e) 0.3–1.06 µm
ch4n2o = ls.fetch_refractiveindex("organic", "urea", "Rosker-e", 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_22af1cecf960/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-e).
# ... 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
Exotic (formula 9), λ in µmValid from 0.3 to 1.06 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 2.51527 |
| C2 | 0.024 |
| C3 | 0.03 |
| C4 | 0.02 |
| C5 | 1.52 |
| C6 | 0.8771 |
Comments and conditions
Conditions
- direction
- e
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 | 1.704393 |
| 0.300951 | 1.703285 |
| 0.301904 | 1.702191 |
| 0.302861 | 1.701109 |
| 0.30382 | 1.70004 |
| 0.304783 | 1.698984 |
| 0.305749 | 1.69794 |
| 0.306717 | 1.696908 |
| 0.307689 | 1.695888 |
| 0.308664 | 1.69488 |
| 0.309642 | 1.693884 |
| 0.310623 | 1.692899 |
| 0.311608 | 1.691925 |
| 0.312595 | 1.690962 |
| 0.313585 | 1.69001 |
| 0.314579 | 1.689068 |
| 0.315576 | 1.688138 |
| 0.316576 | 1.687217 |
| 0.317579 | 1.686307 |
| 0.318585 | 1.685407 |
| 0.319594 | 1.684517 |
| 0.320607 | 1.683636 |
| 0.321623 | 1.682766 |
| 0.322642 | 1.681905 |
| 0.323664 | 1.681053 |
| 0.32469 | 1.68021 |
| 0.325719 | 1.679377 |
| 0.326751 | 1.678552 |
| 0.327786 | 1.677736 |
| 0.328825 | 1.676929 |
| 0.329866 | 1.676131 |
| 0.330912 | 1.675341 |
| 0.33196 | 1.674559 |
| 0.333012 | 1.673786 |
| 0.334067 | 1.673021 |
| 0.335126 | 1.672263 |
| 0.336187 | 1.671514 |
| 0.337253 | 1.670772 |
| 0.338321 | 1.670038 |
| 0.339393 | 1.669312 |
| 0.340469 | 1.668593 |
| 0.341547 | 1.667882 |
| 0.34263 | 1.667178 |
| 0.343715 | 1.666481 |
| 0.344804 | 1.665791 |
| 0.345897 | 1.665108 |
| 0.346993 | 1.664432 |
| 0.348092 | 1.663762 |
| 0.349195 | 1.6631 |
| 0.350302 | 1.662444 |
| 0.351412 | 1.661794 |
| 0.352525 | 1.661151 |
| 0.353642 | 1.660515 |
| 0.354763 | 1.659885 |
| 0.355887 | 1.65926 |
| 0.357014 | 1.658642 |
| 0.358145 | 1.658031 |
| 0.35928 | 1.657425 |
| 0.360419 | 1.656825 |
| 0.361561 | 1.65623 |
| 0.362706 | 1.655642 |
| 0.363855 | 1.655059 |
| 0.365008 | 1.654482 |
| 0.366165 | 1.65391 |
| 0.367325 | 1.653344 |
| 0.368489 | 1.652784 |
| 0.369657 | 1.652228 |
| 0.370828 | 1.651678 |
| 0.372003 | 1.651133 |
| 0.373181 | 1.650593 |
| 0.374364 | 1.650059 |
| 0.37555 | 1.649529 |
| 0.37674 | 1.649004 |
| 0.377934 | 1.648484 |
| 0.379131 | 1.64797 |
| 0.380333 | 1.647459 |
| 0.381538 | 1.646954 |
| 0.382747 | 1.646453 |
| 0.383959 | 1.645957 |
| 0.385176 | 1.645466 |
| 0.386396 | 1.644978 |
| 0.387621 | 1.644496 |
| 0.388849 | 1.644018 |
| 0.390081 | 1.643544 |
| 0.391317 | 1.643074 |
| 0.392557 | 1.642609 |
| 0.393801 | 1.642148 |
| 0.395048 | 1.641691 |
| 0.3963 | 1.641238 |
| 0.397556 | 1.64079 |
| 0.398815 | 1.640345 |
| 0.400079 | 1.639904 |
| 0.401347 | 1.639468 |
| 0.402618 | 1.639035 |
| 0.403894 | 1.638606 |
| 0.405174 | 1.638181 |
| 0.406458 | 1.637759 |
| 0.407746 | 1.637341 |
| 0.409037 | 1.636927 |
| 0.410334 | 1.636517 |
| 0.411634 | 1.63611 |
| 0.412938 | 1.635707 |
| 0.414246 | 1.635307 |
| 0.415559 | 1.634911 |
| 0.416876 | 1.634518 |
| 0.418196 | 1.634129 |
| 0.419522 | 1.633743 |
| 0.420851 | 1.63336 |
| 0.422184 | 1.632981 |
| 0.423522 | 1.632605 |
| 0.424864 | 1.632232 |
| 0.42621 | 1.631862 |
| 0.427561 | 1.631495 |
| 0.428915 | 1.631132 |
| 0.430274 | 1.630772 |
| 0.431638 | 1.630415 |
| 0.433005 | 1.63006 |
| 0.434377 | 1.629709 |
| 0.435754 | 1.629361 |
| 0.437134 | 1.629016 |
| 0.438519 | 1.628673 |
| 0.439909 | 1.628334 |
| 0.441303 | 1.627997 |
| 0.442701 | 1.627663 |
| 0.444104 | 1.627332 |
| 0.445511 | 1.627004 |
| 0.446922 | 1.626679 |
| 0.448339 | 1.626356 |
| 0.449759 | 1.626036 |
| 0.451184 | 1.625718 |
| 0.452614 | 1.625403 |
| 0.454048 | 1.625091 |
| 0.455487 | 1.624782 |
| 0.45693 | 1.624474 |
| 0.458378 | 1.62417 |
| 0.45983 | 1.623868 |
| 0.461287 | 1.623568 |
| 0.462749 | 1.623271 |
| 0.464215 | 1.622976 |
| 0.465686 | 1.622684 |
| 0.467161 | 1.622394 |
| 0.468641 | 1.622106 |
| 0.470126 | 1.621821 |
| 0.471616 | 1.621538 |
| 0.47311 | 1.621258 |
| 0.474609 | 1.620979 |
| 0.476113 | 1.620703 |
| 0.477622 | 1.620429 |
| 0.479135 | 1.620157 |
| 0.480653 | 1.619888 |
| 0.482176 | 1.61962 |
| 0.483704 | 1.619355 |
| 0.485237 | 1.619092 |
| 0.486774 | 1.618831 |
| 0.488316 | 1.618572 |
| 0.489864 | 1.618315 |
| 0.491416 | 1.618061 |
| 0.492973 | 1.617808 |
| 0.494535 | 1.617557 |
| 0.496102 | 1.617308 |
| 0.497674 | 1.617061 |
| 0.499251 | 1.616816 |
| 0.500832 | 1.616573 |
| 0.502419 | 1.616332 |
| 0.504011 | 1.616093 |
| 0.505608 | 1.615856 |
| 0.50721 | 1.615621 |
| 0.508817 | 1.615387 |
| 0.51043 | 1.615155 |
| 0.512047 | 1.614925 |
| 0.513669 | 1.614697 |
| 0.515297 | 1.614471 |
| 0.51693 | 1.614246 |
| 0.518568 | 1.614023 |
| 0.520211 | 1.613802 |
| 0.521859 | 1.613583 |
| 0.523512 | 1.613365 |
| 0.525171 | 1.613149 |
| 0.526835 | 1.612935 |
| 0.528504 | 1.612722 |
| 0.530179 | 1.612511 |
| 0.531859 | 1.612302 |
| 0.533544 | 1.612094 |
| 0.535235 | 1.611888 |
| 0.536931 | 1.611683 |
| 0.538632 | 1.61148 |
| 0.540339 | 1.611278 |
| 0.542051 | 1.611078 |
| 0.543768 | 1.61088 |
| 0.545491 | 1.610683 |
| 0.547219 | 1.610488 |
| 0.548953 | 1.610294 |
| 0.550693 | 1.610101 |
| 0.552438 | 1.60991 |
| 0.554188 | 1.609721 |
| 0.555944 | 1.609533 |
| 0.557705 | 1.609346 |
| 0.559473 | 1.609161 |
| 0.561245 | 1.608977 |
| 0.563024 | 1.608795 |
| 0.564808 | 1.608613 |
| 0.566597 | 1.608434 |
| 0.568392 | 1.608255 |
| 0.570193 | 1.608078 |
| 0.572 | 1.607903 |
| 0.573812 | 1.607728 |
| 0.575631 | 1.607555 |
| 0.577455 | 1.607384 |
| 0.579284 | 1.607213 |
| 0.58112 | 1.607044 |
| 0.582961 | 1.606876 |
| 0.584808 | 1.606709 |
| 0.586661 | 1.606544 |
| 0.58852 | 1.60638 |
| 0.590385 | 1.606217 |
| 0.592255 | 1.606055 |
| 0.594132 | 1.605895 |
| 0.596014 | 1.605736 |
| 0.597903 | 1.605577 |
| 0.599797 | 1.60542 |
| 0.601698 | 1.605265 |
| 0.603604 | 1.60511 |
| 0.605517 | 1.604957 |
| 0.607435 | 1.604804 |
| 0.60936 | 1.604653 |
| 0.611291 | 1.604503 |
| 0.613228 | 1.604354 |
| 0.615171 | 1.604206 |
| 0.61712 | 1.60406 |
| 0.619075 | 1.603914 |
| 0.621037 | 1.603769 |
| 0.623005 | 1.603626 |
| 0.624979 | 1.603484 |
| 0.626959 | 1.603342 |
| 0.628945 | 1.603202 |
| 0.630938 | 1.603063 |
| 0.632937 | 1.602924 |
| 0.634943 | 1.602787 |
| 0.636955 | 1.602651 |
| 0.638973 | 1.602516 |
| 0.640998 | 1.602381 |
| 0.643029 | 1.602248 |
| 0.645066 | 1.602116 |
| 0.64711 | 1.601985 |
| 0.64916 | 1.601854 |
| 0.651217 | 1.601725 |
| 0.653281 | 1.601597 |
| 0.65535 | 1.601469 |
| 0.657427 | 1.601343 |
| 0.65951 | 1.601217 |
| 0.6616 | 1.601093 |
| 0.663696 | 1.600969 |
| 0.665799 | 1.600846 |
| 0.667909 | 1.600724 |
| 0.670025 | 1.600603 |
| 0.672148 | 1.600483 |
| 0.674278 | 1.600364 |
| 0.676414 | 1.600246 |
| 0.678557 | 1.600128 |
| 0.680707 | 1.600012 |
| 0.682864 | 1.599896 |
| 0.685028 | 1.599781 |
| 0.687198 | 1.599667 |
| 0.689376 | 1.599554 |
| 0.69156 | 1.599441 |
| 0.693751 | 1.59933 |
| 0.695949 | 1.599219 |
| 0.698155 | 1.599109 |
| 0.700367 | 1.599 |
| 0.702586 | 1.598892 |
| 0.704812 | 1.598785 |
| 0.707045 | 1.598678 |
| 0.709285 | 1.598572 |
| 0.711533 | 1.598467 |
| 0.713787 | 1.598363 |
| 0.716049 | 1.598259 |
| 0.718318 | 1.598157 |
| 0.720594 | 1.598055 |
| 0.722877 | 1.597954 |
| 0.725167 | 1.597853 |
| 0.727465 | 1.597753 |
| 0.72977 | 1.597654 |
| 0.732082 | 1.597556 |
| 0.734402 | 1.597459 |
| 0.736729 | 1.597362 |
| 0.739063 | 1.597266 |
| 0.741405 | 1.597171 |
| 0.743754 | 1.597076 |
| 0.746111 | 1.596982 |
| 0.748475 | 1.596889 |
| 0.750847 | 1.596797 |
| 0.753226 | 1.596705 |
| 0.755612 | 1.596614 |
| 0.758006 | 1.596523 |
| 0.760408 | 1.596434 |
| 0.762818 | 1.596345 |
| 0.765235 | 1.596256 |
| 0.767659 | 1.596169 |
| 0.770092 | 1.596082 |
| 0.772532 | 1.595995 |
| 0.774979 | 1.59591 |
| 0.777435 | 1.595825 |
| 0.779898 | 1.59574 |
| 0.782369 | 1.595656 |
| 0.784848 | 1.595573 |
| 0.787335 | 1.595491 |
| 0.78983 | 1.595409 |
| 0.792332 | 1.595328 |
| 0.794843 | 1.595247 |
| 0.797361 | 1.595168 |
| 0.799888 | 1.595088 |
| 0.802422 | 1.59501 |
| 0.804965 | 1.594932 |
| 0.807515 | 1.594854 |
| 0.810074 | 1.594777 |
| 0.812641 | 1.594701 |
| 0.815216 | 1.594625 |
| 0.817799 | 1.59455 |
| 0.82039 | 1.594476 |
| 0.822989 | 1.594402 |
| 0.825597 | 1.594329 |
| 0.828213 | 1.594256 |
| 0.830837 | 1.594184 |
| 0.83347 | 1.594113 |
| 0.83611 | 1.594042 |
| 0.83876 | 1.593971 |
| 0.841417 | 1.593902 |
| 0.844083 | 1.593833 |
| 0.846758 | 1.593764 |
| 0.849441 | 1.593696 |
| 0.852132 | 1.593628 |
| 0.854832 | 1.593561 |
| 0.857541 | 1.593495 |
| 0.860258 | 1.593429 |
| 0.862984 | 1.593364 |
| 0.865718 | 1.593299 |
| 0.868461 | 1.593235 |
| 0.871213 | 1.593171 |
| 0.873973 | 1.593108 |
| 0.876743 | 1.593046 |
| 0.879521 | 1.592984 |
| 0.882307 | 1.592922 |
| 0.885103 | 1.592861 |
| 0.887907 | 1.592801 |
| 0.890721 | 1.592741 |
| 0.893543 | 1.592681 |
| 0.896374 | 1.592623 |
| 0.899214 | 1.592564 |
| 0.902064 | 1.592506 |
| 0.904922 | 1.592449 |
| 0.907789 | 1.592392 |
| 0.910665 | 1.592336 |
| 0.913551 | 1.59228 |
| 0.916445 | 1.592225 |
| 0.919349 | 1.59217 |
| 0.922262 | 1.592116 |
| 0.925184 | 1.592062 |
| 0.928116 | 1.592009 |
| 0.931057 | 1.591956 |
| 0.934007 | 1.591904 |
| 0.936966 | 1.591852 |
| 0.939935 | 1.591801 |
| 0.942913 | 1.59175 |
| 0.945901 | 1.5917 |
| 0.948898 | 1.59165 |
| 0.951905 | 1.591601 |
| 0.954921 | 1.591552 |
| 0.957946 | 1.591504 |
| 0.960982 | 1.591456 |
| 0.964027 | 1.591409 |
| 0.967081 | 1.591362 |
| 0.970145 | 1.591316 |
| 0.973219 | 1.59127 |
| 0.976303 | 1.591224 |
| 0.979396 | 1.591179 |
| 0.9825 | 1.591135 |
| 0.985613 | 1.591091 |
| 0.988736 | 1.591048 |
| 0.991868 | 1.591005 |
| 0.995011 | 1.590962 |
| 0.998164 | 1.59092 |
| 1.00133 | 1.590878 |
| 1.0045 | 1.590837 |
| 1.00768 | 1.590797 |
| 1.01087 | 1.590756 |
| 1.01408 | 1.590717 |
| 1.01729 | 1.590677 |
| 1.02051 | 1.590639 |
| 1.02375 | 1.5906 |
| 1.02699 | 1.590562 |
| 1.03025 | 1.590525 |
| 1.03351 | 1.590488 |
| 1.03678 | 1.590452 |
| 1.04007 | 1.590416 |
| 1.04337 | 1.59038 |
| 1.04667 | 1.590345 |
| 1.04999 | 1.59031 |
| 1.05331 | 1.590276 |
| 1.05665 | 1.590242 |
| 1.06 | 1.590209 |
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. Extraordinary ray (e).