Optical constants

Refractive index of Dy₂O₃ (Dysprosium sesquioxide)

Medenbach et al. 2001: n 0.435–0.644 µm

Data: formula 2
Range: 0.435–0.644 µm
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.97628
Extinction coefficient k: 0

Permittivity ε₁: 3.90568
Permittivity ε₂: 0

Absorption coefficient α: 0 cm⁻¹
Penetration depth δ = λ/(2πk): — nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.15372 µm⁻¹

Group index n_g: 2.0666
Group velocity dispersion: 300.764 fs²/mm

Dispersion parameter D: -1640.83 ps/(nm·km)
Photon energy: 2.11001 eV

ε = (n + ik)², α = 4πk/λ, n_g = 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

# Dy2O3 (Dysprosium sesquioxide): Medenbach et al. 2001: n 0.435–0.644 µm
dy2o3 = ls.fetch_refractiveindex("main", "Dy2O3", "Medenbach", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(dy2o3.range_nm)  # (435, 644) nm
eps = dy2o3.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_fac426edd8e8/lightsmith"
dy2o3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(dy2o3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (dy2o3/medenbach-2001).

# ... load dy2o3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=dy2o3)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=435, stop_nm=644, 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"]).

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_fac426edd8e8/lightsmith?model=drude_lorentz"
dy2o3_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))

A dispersive Drude–Lorentz model for time-domain solvers.

Materials guide Open a sphere of it in Studio Quick start Ask the community

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

Sellmeier (C in µm²) (formula 2), λ in µm

n^{2} - 1 = \frac{2.7375 λ^{2}}{λ^{2} - 0.019984}

Valid from 0.435 to 0.644 µm.

Coefficients as stored

C_i	Value
C1	0.0
C2	2.7375
C3	0.019984

References

O. Medenbach, D. Dettmar, R. D. Shannon, R. X. Fischer, W. M. Yen. Refractive index and optical dispersion of rare earth oxides using a small-prism technique. J. Opt. A: Pure Appl. Opt. 3, 174-177, 2001

doi:10.1088/1464-4258/3/3/303 Refractive index and optical dispersion of rare earth oxides using a small-prism technique, Journal of Optics A: Pure and Applied Optics (2001)

Cite

O Medenbach, D Dettmar, R D Shannon, R X Fischer and W M Yen. Refractive index and optical dispersion of rare earth oxides using a small-prism technique. Journal of Optics A: Pure and Applied Optics, 3, 174-177 (2001), doi:10.1088/1464-4258/3/3/303; 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

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

Dy2O3 (Dysprosium sesquioxide), Medenbach et al. 2001: n 0.435–0.644 µm: n and k versus wavelength
λ (µm)	n
0.435	2.015129
0.435428	2.014953
0.435856	2.014777
0.436285	2.014602
0.436714	2.014427
0.437144	2.014252
0.437574	2.014078
0.438005	2.013904
0.438436	2.013731
0.438867	2.013558
0.439299	2.013386
0.439731	2.013214
0.440163	2.013042
0.440596	2.012871
0.44103	2.0127
0.441464	2.012529
0.441898	2.012359
0.442333	2.01219
0.442768	2.01202
0.443204	2.011851
0.44364	2.011683
0.444076	2.011515
0.444513	2.011347
0.44495	2.01118
0.445388	2.011013
0.445826	2.010846
0.446265	2.01068
0.446704	2.010514
0.447143	2.010349
0.447583	2.010184
0.448024	2.010019
0.448465	2.009855
0.448906	2.009691
0.449347	2.009527
0.449789	2.009364
0.450232	2.009202
0.450675	2.009039
0.451118	2.008877
0.451562	2.008716
0.452006	2.008554
0.452451	2.008394
0.452896	2.008233
0.453342	2.008073
0.453788	2.007913
0.454234	2.007754
0.454681	2.007595
0.455128	2.007436
0.455576	2.007278
0.456024	2.00712
0.456473	2.006962
0.456922	2.006805
0.457372	2.006648
0.457822	2.006492
0.458272	2.006336
0.458723	2.00618
0.459174	2.006025
0.459626	2.00587
0.460078	2.005715
0.460531	2.005561
0.460984	2.005407
0.461437	2.005253
0.461891	2.0051
0.462346	2.004947
0.462801	2.004794
0.463256	2.004642
0.463712	2.00449
0.464168	2.004339
0.464625	2.004187
0.465082	2.004037
0.465539	2.003886
0.465997	2.003736
0.466456	2.003586
0.466915	2.003437
0.467374	2.003288
0.467834	2.003139
0.468294	2.00299
0.468755	2.002842
0.469216	2.002695
0.469678	2.002547
0.47014	2.0024
0.470602	2.002253
0.471065	2.002107
0.471529	2.001961
0.471993	2.001815
0.472457	2.00167
0.472922	2.001525
0.473387	2.00138
0.473853	2.001235
0.474319	2.001091
0.474786	2.000948
0.475253	2.000804
0.47572	2.000661
0.476188	2.000518
0.476657	2.000376
0.477126	2.000234
0.477595	2.000092
0.478065	1.99995
0.478535	1.999809
0.479006	1.999668
0.479477	1.999528
0.479949	1.999388
0.480421	1.999248
0.480894	1.999108
0.481367	1.998969
0.481841	1.99883
0.482315	1.998691
0.482789	1.998553
0.483264	1.998415
0.48374	1.998277
0.484216	1.99814
0.484692	1.998003
0.485169	1.997866
0.485646	1.99773
0.486124	1.997594
0.486602	1.997458
0.487081	1.997322
0.48756	1.997187
0.48804	1.997052
0.48852	1.996918
0.489	1.996783
0.489482	1.996649
0.489963	1.996516
0.490445	1.996382
0.490928	1.996249
0.491411	1.996116
0.491894	1.995984
0.492378	1.995852
0.492862	1.99572
0.493347	1.995588
0.493833	1.995457
0.494319	1.995326
0.494805	1.995195
0.495292	1.995065
0.495779	1.994934
0.496267	1.994805
0.496755	1.994675
0.497244	1.994546
0.497733	1.994417
0.498223	1.994288
0.498713	1.99416
0.499203	1.994032
0.499695	1.993904
0.500186	1.993776
0.500678	1.993649
0.501171	1.993522
0.501664	1.993395
0.502157	1.993269
0.502651	1.993143
0.503146	1.993017
0.503641	1.992892
0.504136	1.992766
0.504632	1.992641
0.505129	1.992517
0.505626	1.992392
0.506123	1.992268
0.506621	1.992144
0.50712	1.992021
0.507619	1.991897
0.508118	1.991774
0.508618	1.991652
0.509118	1.991529
0.509619	1.991407
0.510121	1.991285
0.510622	1.991163
0.511125	1.991042
0.511628	1.990921
0.512131	1.9908
0.512635	1.990679
0.513139	1.990559
0.513644	1.990439
0.514149	1.990319
0.514655	1.9902
0.515162	1.99008
0.515668	1.989961
0.516176	1.989843
0.516684	1.989724
0.517192	1.989606
0.517701	1.989488
0.51821	1.98937
0.51872	1.989253
0.51923	1.989136
0.519741	1.989019
0.520252	1.988902
0.520764	1.988786
0.521276	1.98867
0.521789	1.988554
0.522303	1.988438
0.522817	1.988323
0.523331	1.988208
0.523846	1.988093
0.524361	1.987979
0.524877	1.987864
0.525393	1.98775
0.52591	1.987636
0.526428	1.987523
0.526946	1.98741
0.527464	1.987296
0.527983	1.987184
0.528502	1.987071
0.529022	1.986959
0.529543	1.986847
0.530064	1.986735
0.530585	1.986623
0.531107	1.986512
0.53163	1.986401
0.532153	1.98629
0.532676	1.986179
0.5332	1.986069
0.533725	1.985959
0.53425	1.985849
0.534776	1.98574
0.535302	1.98563
0.535828	1.985521
0.536356	1.985412
0.536883	1.985304
0.537412	1.985195
0.53794	1.985087
0.538469	1.984979
0.538999	1.984871
0.53953	1.984764
0.54006	1.984657
0.540592	1.98455
0.541123	1.984443
0.541656	1.984336
0.542189	1.98423
0.542722	1.984124
0.543256	1.984018
0.543791	1.983913
0.544326	1.983807
0.544861	1.983702
0.545397	1.983597
0.545934	1.983493
0.546471	1.983388
0.547008	1.983284
0.547547	1.98318
0.548085	1.983076
0.548625	1.982973
0.549164	1.982869
0.549705	1.982766
0.550245	1.982663
0.550787	1.982561
0.551329	1.982458
0.551871	1.982356
0.552414	1.982254
0.552957	1.982153
0.553501	1.982051
0.554046	1.98195
0.554591	1.981849
0.555137	1.981748
0.555683	1.981647
0.55623	1.981547
0.556777	1.981447
0.557325	1.981347
0.557873	1.981247
0.558422	1.981148
0.558971	1.981048
0.559521	1.980949
0.560071	1.98085
0.560623	1.980752
0.561174	1.980653
0.561726	1.980555
0.562279	1.980457
0.562832	1.980359
0.563386	1.980262
0.56394	1.980164
0.564495	1.980067
0.56505	1.97997
0.565606	1.979873
0.566163	1.979777
0.56672	1.979681
0.567277	1.979585
0.567835	1.979489
0.568394	1.979393
0.568953	1.979297
0.569513	1.979202
0.570073	1.979107
0.570634	1.979012
0.571195	1.978918
0.571757	1.978823
0.57232	1.978729
0.572883	1.978635
0.573446	1.978541
0.574011	1.978447
0.574575	1.978354
0.575141	1.978261
0.575706	1.978168
0.576273	1.978075
0.57684	1.977982
0.577407	1.97789
0.577975	1.977798
0.578544	1.977706
0.579113	1.977614
0.579683	1.977522
0.580253	1.977431
0.580824	1.97734
0.581396	1.977249
0.581968	1.977158
0.58254	1.977067
0.583113	1.976977
0.583687	1.976887
0.584261	1.976796
0.584836	1.976707
0.585411	1.976617
0.585987	1.976528
0.586564	1.976438
0.587141	1.976349
0.587719	1.97626
0.588297	1.976172
0.588875	1.976083
0.589455	1.975995
0.590035	1.975907
0.590615	1.975819
0.591196	1.975731
0.591778	1.975644
0.59236	1.975556
0.592943	1.975469
0.593526	1.975382
0.59411	1.975295
0.594695	1.975209
0.59528	1.975122
0.595865	1.975036
0.596452	1.97495
0.597038	1.974864
0.597626	1.974778
0.598214	1.974693
0.598802	1.974608
0.599391	1.974523
0.599981	1.974438
0.600571	1.974353
0.601162	1.974268
0.601754	1.974184
0.602346	1.9741
0.602938	1.974016
0.603532	1.973932
0.604125	1.973848
0.60472	1.973765
0.605315	1.973681
0.60591	1.973598
0.606506	1.973515
0.607103	1.973432
0.6077	1.97335
0.608298	1.973267
0.608897	1.973185
0.609496	1.973103
0.610095	1.973021
0.610695	1.97294
0.611296	1.972858
0.611898	1.972777
0.6125	1.972695
0.613102	1.972614
0.613705	1.972534
0.614309	1.972453
0.614914	1.972372
0.615519	1.972292
0.616124	1.972212
0.61673	1.972132
0.617337	1.972052
0.617944	1.971973
0.618552	1.971893
0.619161	1.971814
0.61977	1.971735
0.62038	1.971656
0.62099	1.971577
0.621601	1.971498
0.622213	1.97142
0.622825	1.971342
0.623437	1.971264
0.624051	1.971186
0.624665	1.971108
0.625279	1.97103
0.625895	1.970953
0.62651	1.970875
0.627127	1.970798
0.627744	1.970721
0.628361	1.970645
0.628979	1.970568
0.629598	1.970492
0.630218	1.970415
0.630838	1.970339
0.631458	1.970263
0.63208	1.970187
0.632701	1.970112
0.633324	1.970036
0.633947	1.969961
0.634571	1.969886
0.635195	1.969811
0.63582	1.969736
0.636445	1.969661
0.637072	1.969587
0.637698	1.969512
0.638326	1.969438
0.638954	1.969364
0.639582	1.96929
0.640212	1.969216
0.640841	1.969143
0.641472	1.969069
0.642103	1.968996
0.642735	1.968923
0.643367	1.96885
0.644	1.968777

Optical transmission calculator

Free-standing sample in vacuum, normal incidence

Transmittance T: —
Reflectance R: —

Fresnel reflection calculator

R_p: —
R_s: —
R = (R_p+R_s)/2: —
Phase φ_p: —
Phase φ_s: —
Brewster angle θ_B: —
Critical angle θ_C: —

Dy₂O₃ (Dysprosium sesquioxide): all datasets

Medenbach et al. 2001: n 0.435–0.644 µm n 0.435–0.644 µm default

About Dy2O3 (Dysprosium sesquioxide)

Dysprosium sesquioxide (Dy₂O₃) is a rare-earth oxide that can exist in several crystalline phases. Its optical properties, such as a high refractive index and low absorption coefficients in the infrared region, make it interesting for specialized optical applications. It is also used as a raw material for producing dysprosium metal and various dysprosium compounds. Dy₂O₃ can be incorporated into glass, ceramics, and crystal hosts to modify their optical, electrical, and mechanical properties. While not as commonly encountered as other rare-earth oxides in optical applications, its unique characteristics make it a material of interest for future developments in both academia and industry.

More about Dy2O3 (Dysprosium sesquioxide) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Dy2O3/nk/Medenbach.yml
ID: ds_fac426edd8e8
API: /v1/datasets/ds_fac426edd8e8

Plot