Optical constants

Refractive index of PBM4 (OHARA)

PBM4: n,k 0.3–2.4 µm

Data: formula 3 + tabulated k
Range: 0.3–2.4 µm
Temperature: 298 K
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength. Note: k data cover 320-900 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Refractive index n: 1.61659
Extinction coefficient k: 1.76522e-08

Permittivity ε₁: 2.61335
Permittivity ε₂: 5.70726e-08

Absorption coefficient α: 0.00377509 cm⁻¹
Penetration depth δ = λ/(2πk): 5.29788e+09 nm

Abbe number V_d: 36.633
Chromatic dispersion dn/dλ: -0.0853574 µm⁻¹

Group index n_g: 1.66674
Group velocity dispersion: 166.367 fs²/mm

Dispersion parameter D: -907.622 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

# PBM4 (OHARA): PBM4
ohara_pbm4 = ls.fetch_refractiveindex("specs", "OHARA-optical", "PBM4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_pbm4.range_nm)  # (300, 2400) nm
eps = ohara_pbm4.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_2453c6d96ca3/lightsmith"
ohara_pbm4 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ohara_pbm4.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (ohara-pbm4/ohara).

# ... load ohara_pbm4 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ohara_pbm4)],
    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"]).

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

Polynomial (formula 3), λ in µm

n^{2} = 2.5463724 - 0.0093446264 λ^{2.0} + 0.021462247 λ^{- 2.0} + 0.001051989 λ^{- 4.0} - 4.8504181 \times 10^{-5} λ^{- 6.0} + 5.6183745 \times 10^{-6} λ^{- 8.0}

Valid from 0.3 to 2.4 µm.

Coefficients as stored

C_i	Value
C1	2.5463724
C2	-0.0093446264
C3	2.0
C4	0.021462247
C5	-2.0
C6	0.001051989
C7	-4.0
C8	-4.8504181e-05
C9	-6.0
C10	5.6183745e-06
C11	-8.0

Comments and conditions

Conditions

temperature: 298 K

Properties

thermal dispersion: type: formula A, coefficients: 3.862e-06 0.0 0.0 0.0 0.0 0.0
nd: 1.616588
Vd: 36.632973
glass code: 617366
glass status: preferred
density: value: 3580
thermal expansion: value: 8.6e-06, temperature range: 243 343; value: 9.5e-06, temperature range: 293 573
dPgF: 0.0005
resistance: acid: 1.0; phosphate: 1.0

Thermo-optic coefficient

Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 1.92e-06 K⁻¹ at 633 nm, dn/dT = 1.87e-06 K⁻¹ at 1310 nm, dn/dT = 1.86e-06 K⁻¹ at 1550 nm

Notes on the source data (kept exactly as published):

k data cover 320-900 nm only; k = 0 elsewhere in the n range 300-2400 nm

References

OHARA Zemax catalog 2017-11-30 (obtained from http://www.ohara-inc.co.jp)
See also OHARA glass data sheets

Cite

OHARA Zemax catalog 2017-11-30 (obtained from http://www.ohara-inc.co.jp); See also OHARA glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 419 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

PBM4 (OHARA), PBM4: n and k versus wavelength
λ (µm)	n	k
0.3	1.712593	0
0.301568	1.710662	0
0.303143	1.708776	0
0.304727	1.706933	0
0.30632	1.705133	0
0.30792	1.703373	0
0.309529	1.701653	0
0.311147	1.699971	0
0.312772	1.698326	0
0.314407	1.696717	0
0.316049	1.695143	0
0.317701	1.693603	0
0.319361	1.692095	0
0.32	1.691526	8.929400e-06
0.32103	1.69062	8.318035e-06
0.322707	1.689175	7.322096e-06
0.324393	1.687761	6.320952e-06
0.326088	1.686375	5.314577e-06
0.327792	1.685018	4.302944e-06
0.329505	1.683688	3.286025e-06
0.33	1.683311	2.992200e-06
0.331227	1.682386	2.773243e-06
0.332958	1.681109	2.464358e-06
0.334697	1.679857	2.153859e-06
0.336446	1.678629	1.841738e-06
0.338204	1.677426	1.527986e-06
0.339971	1.676246	1.212594e-06
0.34	1.676227	1.207500e-06
0.341748	1.675088	1.093053e-06
0.343534	1.673952	9.761303e-07
0.345329	1.672838	8.585962e-07
0.347133	1.671744	7.404479e-07
0.348947	1.670671	6.216823e-07
0.35	1.670059	5.527300e-07
0.35077	1.669617	5.309665e-07
0.352603	1.668582	4.791791e-07
0.354446	1.667566	4.271211e-07
0.356298	1.666568	3.747911e-07
0.358159	1.665588	3.221876e-07
0.36	1.664641	2.701800e-07
0.360031	1.664626	2.698224e-07
0.361912	1.66368	2.479905e-07
0.363803	1.66275	2.260446e-07
0.365704	1.661837	2.039840e-07
0.367615	1.660939	1.818081e-07
0.369536	1.660056	1.595163e-07
0.37	1.659846	1.541300e-07
0.371467	1.659188	1.473242e-07
0.373408	1.658335	1.383179e-07
0.375359	1.657496	1.292646e-07
0.37732	1.656671	1.201640e-07
0.379292	1.655859	1.110158e-07
0.38	1.655572	1.077300e-07
0.381274	1.655061	1.003841e-07
0.383266	1.654275	8.889442e-08
0.385269	1.653502	7.734470e-08
0.387282	1.652741	6.573464e-08
0.389305	1.651993	5.406391e-08
0.39	1.651739	5.005800e-08
0.39134	1.651256	4.763772e-08
0.393384	1.650531	4.394331e-08
0.39544	1.649817	4.022959e-08
0.397506	1.649114	3.649646e-08
0.399583	1.648421	3.274383e-08
0.4	1.648284	3.199100e-08
0.401671	1.64774	3.156108e-08
0.40377	1.647068	3.102115e-08
0.40588	1.646407	3.047841e-08
0.408001	1.645756	2.993283e-08
0.410133	1.645114	2.938440e-08
0.412276	1.644482	2.883310e-08
0.41443	1.643859	2.827892e-08
0.416595	1.643246	2.772185e-08
0.418772	1.642641	2.716186e-08
0.42	1.642305	2.684600e-08
0.42096	1.642045	2.690737e-08
0.42316	1.641457	2.704792e-08
0.425371	1.640879	2.718921e-08
0.427594	1.640308	2.733124e-08
0.429828	1.639745	2.747401e-08
0.432074	1.639191	2.761753e-08
0.434332	1.638644	2.776179e-08
0.436601	1.638105	2.790681e-08
0.438882	1.637573	2.805259e-08
0.44	1.637316	2.812400e-08
0.441176	1.637049	2.798232e-08
0.443481	1.636532	2.770454e-08
0.445798	1.636022	2.742531e-08
0.448128	1.635519	2.714461e-08
0.450469	1.635022	2.686245e-08
0.452823	1.634533	2.657882e-08
0.455189	1.63405	2.629370e-08
0.457568	1.633574	2.600710e-08
0.459959	1.633104	2.571899e-08
0.46	1.633096	2.571400e-08
0.462362	1.63264	2.539195e-08
0.464778	1.632183	2.506253e-08
0.467206	1.631731	2.473140e-08
0.469648	1.631285	2.439853e-08
0.472102	1.630846	2.406393e-08
0.474569	1.630412	2.372757e-08
0.477048	1.629983	2.338946e-08
0.479541	1.629561	2.304958e-08
0.48	1.629484	2.298700e-08
0.482047	1.629143	2.226655e-08
0.484566	1.628731	2.137993e-08
0.487098	1.628325	2.048867e-08
0.489643	1.627923	1.959276e-08
0.492201	1.627527	1.869217e-08
0.494773	1.627135	1.778688e-08
0.497358	1.626749	1.687685e-08
0.499957	1.626368	1.596206e-08
0.5	1.626361	1.594700e-08
0.50257	1.625991	1.580326e-08
0.505196	1.625619	1.565636e-08
0.507835	1.625251	1.550869e-08
0.510489	1.624888	1.536025e-08
0.513156	1.62453	1.521103e-08
0.515838	1.624176	1.506104e-08
0.518533	1.623827	1.491026e-08
0.521243	1.623481	1.475869e-08
0.523966	1.62314	1.460633e-08
0.526704	1.622803	1.445317e-08
0.529456	1.62247	1.429922e-08
0.532223	1.622142	1.414446e-08
0.535004	1.621817	1.398889e-08
0.537799	1.621496	1.383251e-08
0.540609	1.621179	1.367531e-08
0.543434	1.620865	1.351729e-08
0.546274	1.620556	1.335845e-08
0.549128	1.62025	1.319877e-08
0.55	1.620157	1.315000e-08
0.551998	1.619948	1.338918e-08
0.554882	1.619649	1.373455e-08
0.557781	1.619354	1.408172e-08
0.560696	1.619062	1.443071e-08
0.563626	1.618773	1.478152e-08
0.566571	1.618488	1.513416e-08
0.569531	1.618207	1.548865e-08
0.572507	1.617928	1.584499e-08
0.575498	1.617653	1.620319e-08
0.578506	1.617381	1.656326e-08
0.581528	1.617112	1.692521e-08
0.584567	1.616846	1.728906e-08
0.587622	1.616583	1.765480e-08
0.590692	1.616323	1.802246e-08
0.593779	1.616066	1.839204e-08
0.596881	1.615812	1.876355e-08
0.6	1.615561	1.913700e-08
0.603135	1.615313	1.956282e-08
0.606287	1.615067	1.999086e-08
0.609455	1.614824	2.042113e-08
0.612639	1.614584	2.085366e-08
0.61584	1.614346	2.128844e-08
0.619058	1.614111	2.172550e-08
0.622293	1.613879	2.216484e-08
0.625545	1.613649	2.260648e-08
0.628813	1.613422	2.305042e-08
0.632099	1.613197	2.349668e-08
0.635402	1.612975	2.394528e-08
0.638722	1.612755	2.439622e-08
0.642059	1.612537	2.484951e-08
0.645414	1.612321	2.530518e-08
0.648787	1.612108	2.576322e-08
0.65	1.612033	2.592800e-08
0.652177	1.611898	2.552781e-08
0.655585	1.611689	2.490132e-08
0.65901	1.611483	2.427156e-08
0.662454	1.611278	2.363851e-08
0.665915	1.611076	2.300215e-08
0.669395	1.610876	2.236247e-08
0.672892	1.610678	2.171944e-08
0.676409	1.610482	2.107306e-08
0.679943	1.610288	2.042329e-08
0.683496	1.610096	1.977014e-08
0.687067	1.609907	1.911357e-08
0.690657	1.609718	1.845356e-08
0.694266	1.609532	1.779011e-08
0.697894	1.609348	1.712320e-08
0.7	1.609242	1.673600e-08
0.701541	1.609166	1.667452e-08
0.705206	1.608985	1.652822e-08
0.708891	1.608806	1.638116e-08
0.712595	1.608629	1.623332e-08
0.716319	1.608454	1.608472e-08
0.720062	1.60828	1.593534e-08
0.723824	1.608108	1.578518e-08
0.727606	1.607938	1.563423e-08
0.731408	1.607769	1.548250e-08
0.73523	1.607602	1.532997e-08
0.739072	1.607436	1.517665e-08
0.742934	1.607272	1.502252e-08
0.746816	1.60711	1.486759e-08
0.750718	1.606949	1.471185e-08
0.754641	1.60679	1.455530e-08
0.758584	1.606632	1.439792e-08
0.762547	1.606475	1.423973e-08
0.766532	1.60632	1.408071e-08
0.770537	1.606166	1.392086e-08
0.774564	1.606014	1.376017e-08
0.778611	1.605863	1.359864e-08
0.782679	1.605713	1.343627e-08
0.786769	1.605565	1.327305e-08
0.79088	1.605418	1.310898e-08
0.795012	1.605272	1.294405e-08
0.799167	1.605128	1.277826e-08
0.8	1.605099	1.274500e-08
0.803342	1.604985	1.279825e-08
0.80754	1.604843	1.286511e-08
0.81176	1.604702	1.293233e-08
0.816001	1.604562	1.299990e-08
0.820265	1.604424	1.306782e-08
0.824551	1.604286	1.313610e-08
0.82886	1.60415	1.320473e-08
0.833191	1.604015	1.327373e-08
0.837544	1.603881	1.334308e-08
0.841921	1.603748	1.341280e-08
0.84632	1.603616	1.348288e-08
0.850742	1.603485	1.355332e-08
0.855187	1.603355	1.362414e-08
0.859656	1.603226	1.369532e-08
0.864148	1.603098	1.376688e-08
0.868663	1.602971	1.383881e-08
0.873202	1.602845	1.391111e-08
0.877765	1.60272	1.398380e-08
0.882351	1.602596	1.405686e-08
0.886962	1.602472	1.413030e-08
0.891597	1.60235	1.420413e-08
0.896255	1.602228	1.427835e-08
0.9	1.602131	1.433800e-08
0.900939	1.602107	0
0.905646	1.601987	0
0.910378	1.601868	0
0.915135	1.60175	0
0.919917	1.601632	0
0.924724	1.601516	0
0.929556	1.601399	0
0.934413	1.601284	0
0.939295	1.60117	0
0.944204	1.601056	0
0.949137	1.600942	0
0.954097	1.60083	0
0.959082	1.600718	0
0.964093	1.600607	0
0.969131	1.600496	0
0.974195	1.600386	0
0.979285	1.600277	0
0.984402	1.600168	0
0.989546	1.60006	0
0.994717	1.599952	0
0.999914	1.599845	0
1.00514	1.599739	0
1.01039	1.599633	0
1.01567	1.599527	0
1.02098	1.599422	0
1.02631	1.599318	0
1.03168	1.599213	0
1.03707	1.59911	0
1.04249	1.599007	0
1.04793	1.598904	0
1.05341	1.598802	0
1.05891	1.5987	0
1.06445	1.598598	0
1.07001	1.598497	0
1.0756	1.598396	0
1.08122	1.598296	0
1.08687	1.598196	0
1.09255	1.598096	0
1.09826	1.597997	0
1.104	1.597897	0
1.10976	1.597799	0
1.11556	1.5977	0
1.12139	1.597602	0
1.12725	1.597504	0
1.13314	1.597406	0
1.13906	1.597309	0
1.14501	1.597211	0
1.151	1.597114	0
1.15701	1.597017	0
1.16306	1.596921	0
1.16913	1.596824	0
1.17524	1.596728	0
1.18138	1.596631	0
1.18756	1.596535	0
1.19376	1.596439	0
1.2	1.596344	0
1.20627	1.596248	0
1.21257	1.596152	0
1.21891	1.596057	0
1.22528	1.595961	0
1.23168	1.595866	0
1.23812	1.595771	0
1.24459	1.595675	0
1.25109	1.59558	0
1.25763	1.595485	0
1.2642	1.59539	0
1.2708	1.595294	0
1.27744	1.595199	0
1.28412	1.595104	0
1.29083	1.595008	0
1.29757	1.594913	0
1.30435	1.594818	0
1.31117	1.594722	0
1.31802	1.594627	0
1.32491	1.594531	0
1.33183	1.594435	0
1.33879	1.594339	0
1.34578	1.594243	0
1.35282	1.594147	0
1.35989	1.594051	0
1.36699	1.593954	0
1.37413	1.593858	0
1.38131	1.593761	0
1.38853	1.593664	0
1.39579	1.593567	0
1.40308	1.593469	0
1.41041	1.593371	0
1.41778	1.593274	0
1.42519	1.593175	0
1.43264	1.593077	0
1.44012	1.592978	0
1.44765	1.592879	0
1.45521	1.59278	0
1.46282	1.592681	0
1.47046	1.592581	0
1.47814	1.592481	0
1.48587	1.59238	0
1.49363	1.592279	0
1.50144	1.592178	0
1.50928	1.592076	0
1.51717	1.591974	0
1.52509	1.591872	0
1.53306	1.591769	0
1.54107	1.591666	0
1.54913	1.591562	0
1.55722	1.591458	0
1.56536	1.591353	0
1.57354	1.591248	0
1.58176	1.591143	0
1.59002	1.591037	0
1.59833	1.59093	0
1.60668	1.590823	0
1.61508	1.590716	0
1.62352	1.590608	0
1.632	1.590499	0
1.64053	1.59039	0
1.6491	1.59028	0
1.65772	1.59017	0
1.66638	1.590059	0
1.67509	1.589947	0
1.68384	1.589835	0
1.69264	1.589722	0
1.70148	1.589609	0
1.71037	1.589495	0
1.71931	1.58938	0
1.7283	1.589264	0
1.73733	1.589148	0
1.7464	1.589031	0
1.75553	1.588914	0
1.7647	1.588795	0
1.77392	1.588676	0
1.78319	1.588556	0
1.79251	1.588435	0
1.80188	1.588314	0
1.81129	1.588192	0
1.82076	1.588069	0
1.83027	1.587945	0
1.83983	1.58782	0
1.84945	1.587694	0
1.85911	1.587568	0
1.86883	1.58744	0
1.87859	1.587312	0
1.88841	1.587183	0
1.89827	1.587052	0
1.90819	1.586921	0
1.91816	1.586789	0
1.92819	1.586656	0
1.93826	1.586522	0
1.94839	1.586387	0
1.95857	1.586251	0
1.9688	1.586114	0
1.97909	1.585976	0
1.98943	1.585836	0
1.99983	1.585696	0
2.01028	1.585555	0
2.02078	1.585412	0
2.03134	1.585268	0
2.04196	1.585123	0
2.05263	1.584977	0
2.06335	1.58483	0
2.07413	1.584682	0
2.08497	1.584532	0
2.09586	1.584381	0
2.10682	1.584229	0
2.11782	1.584076	0
2.12889	1.583921	0
2.14001	1.583766	0
2.1512	1.583608	0
2.16244	1.58345	0
2.17374	1.58329	0
2.1851	1.583129	0
2.19651	1.582966	0
2.20799	1.582802	0
2.21953	1.582636	0
2.23112	1.582469	0
2.24278	1.582301	0
2.2545	1.582131	0
2.26628	1.58196	0
2.27812	1.581787	0
2.29003	1.581612	0
2.30199	1.581436	0
2.31402	1.581259	0
2.32611	1.58108	0
2.33827	1.580899	0
2.35049	1.580716	0
2.36277	1.580532	0
2.37511	1.580347	0
2.38752	1.580159	0
2.4	1.57997	0

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: —

PBM4 (OHARA): all datasets

PBM (Plumbate, medium-index)

PBM4 n,k 0.3–2.4 µm default

About PBM4 (OHARA)

Ohara Group is an international group of companies with headquarters in Japan and subsidiaries in Japan (Ohara, Inc.), United States (Ohara Corporation), and Germany (Ohara, GmbH). Ohara is known for its specialization in high-quality optical glass, ceramics, and other advanced materials. With a history spanning over a century, Ohara has been at the forefront of optical innovations, producing a wide range of specialized glass types including low-dispersion and high-refractive-index materials. These are used in various demanding applications like telescopes, microscopes, and high-performance camera lenses. The company's commitment to research and development has led to groundbreaking products such as low thermal expansion glass-ceramics and other specialty materials used in semiconductor manufacturing and space telescopes. With stringent quality control procedures, Ohara ensures that its optical glass meets the highest standards of clarity, consistency, and performance. Their materials are widely regarded for their exceptional quality and are often used in scientific research, aerospace, and other fields where precision and reliability are paramount. Ohara's reputation for technical excellence and innovation makes it a key player in the global optics and materials science industries, providing cutting-edge solutions for a range of complex applications.

More about PBM4 (OHARA) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/specs/ohara/optical/PBM4.yml
ID: ds_2453c6d96ca3
API: /v1/datasets/ds_2453c6d96ca3

Plot