Optical constants

Refractive index of Si (Silicon)

Chandler-Horowitz and Amirtharaj 2005: n 2.5–22.2 µm, k 6.25–23.3 µm

Data: formula 4 + tabulated k
Range: 2.5–22.22 µm
State: crystalline
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength. Note: k data cover 6250-23255.8 nm only; k = 0 elsewhere in the n range 2500-22222 nm.

At one wavelength

Refractive index n: 3.41925
Extinction coefficient k: 1.92000e-05

Permittivity ε₁: 11.6913
Permittivity ε₂: 0.000131299

Absorption coefficient α: 0.323858 cm⁻¹
Penetration depth δ = λ/(2πk): 6.17554e+07 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.000710611 µm⁻¹

Group index n_g: 3.42454
Group velocity dispersion: 209.45 fs²/mm

Dispersion parameter D: -7.10836 ps/(nm·km)
Photon energy: 0.166422 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

# Si (Silicon): Chandler-Horowitz and Amirtharaj 2005: n 2.5–22.2 µm, k 6.25–23.3 µm
si = ls.fetch_refractiveindex("main", "Si", "Chandler-Horowitz", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(si.range_nm)  # (2500, 22222) nm
eps = si.eps([7450])  # 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_bf5e0e8edc40/lightsmith"
si = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(si.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (si/chandler-horowitz-amirtharaj-2005).

# ... load si as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=si)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=2500, stop_nm=22220, 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

RefractiveIndex.INFO (formula 4), λ in µm

n^{2} = 11.67316 + \frac{λ^{0.0}}{λ^{2} - {0.0}^{1.0}} + \frac{0.004482633 λ^{0.0}}{λ^{2} - {1.108205}^{2.0}}

Valid from 2.5 to 22.222 µm.

Coefficients as stored

C_i	Value
C1	11.67316
C2	1.0
C3	0.0
C4	0.0
C5	1.0
C6	0.004482633
C7	0.0
C8	1.108205
C9	2.0

Comments and conditions

Room temperatue.

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

k data cover 6250-23255.8 nm only; k = 0 elsewhere in the n range 2500-22222 nm

References

D. Chandler-Horowitz and P. M. Amirtharaj. High-accuracy, midinfrared (450 cm⁻¹ ≤ ω ≤ 4000 cm⁻¹) refractive index values of silicon. J. Appl. Phys. 97, 123526 (2005)

doi:10.1063/1.1923612 High-accuracy, midinfrared (450cm−1⩽ω⩽4000cm−1) refractive index values of silicon, Journal of Applied Physics (2005)

Cite

Deane Chandler-Horowitz and Paul M. Amirtharaj. High-accuracy, midinfrared (450cm−1⩽ω⩽4000cm−1) refractive index values of silicon. Journal of Applied Physics, 97, 123526 (2005), doi:10.1063/1.1923612; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 975 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

Si (Silicon), Chandler-Horowitz and Amirtharaj 2005: n 2.5–22.2 µm, k 6.25–23.3 µm: n and k versus wavelength
λ (µm)	n	k
2.5	3.440066	0
2.51373	3.439811	0
2.52753	3.439558	0
2.54141	3.439309	0
2.55536	3.439062	0
2.56939	3.438818	0
2.5835	3.438576	0
2.59768	3.438338	0
2.61195	3.438101	0
2.62629	3.437868	0
2.64071	3.437636	0
2.65521	3.437408	0
2.66979	3.437181	0
2.68445	3.436958	0
2.69919	3.436736	0
2.71401	3.436517	0
2.72891	3.436301	0
2.74389	3.436087	0
2.75896	3.435875	0
2.77411	3.435665	0
2.78934	3.435458	0
2.80465	3.435253	0
2.82005	3.43505	0
2.83554	3.43485	0
2.85111	3.434651	0
2.86676	3.434455	0
2.8825	3.434261	0
2.89833	3.434069	0
2.91424	3.433879	0
2.93024	3.433691	0
2.94633	3.433505	0
2.96251	3.433321	0
2.97878	3.433139	0
2.99513	3.43296	0
3.01158	3.432782	0
3.02811	3.432606	0
3.04474	3.432432	0
3.06146	3.43226	0
3.07827	3.432089	0
3.09517	3.431921	0
3.11216	3.431754	0
3.12925	3.431589	0
3.14643	3.431426	0
3.16371	3.431265	0
3.18108	3.431106	0
3.19854	3.430948	0
3.21611	3.430792	0
3.23377	3.430637	0
3.25152	3.430485	0
3.26937	3.430334	0
3.28733	3.430184	0
3.30537	3.430037	0
3.32352	3.42989	0
3.34177	3.429746	0
3.36012	3.429603	0
3.37857	3.429461	0
3.39712	3.429322	0
3.41577	3.429183	0
3.43453	3.429046	0
3.45339	3.428911	0
3.47235	3.428777	0
3.49141	3.428645	0
3.51058	3.428514	0
3.52986	3.428384	0
3.54924	3.428256	0
3.56873	3.428129	0
3.58832	3.428004	0
3.60803	3.427879	0
3.62784	3.427757	0
3.64776	3.427635	0
3.66778	3.427515	0
3.68792	3.427397	0
3.70817	3.427279	0
3.72853	3.427163	0
3.749	3.427048	0
3.76959	3.426934	0
3.79029	3.426822	0
3.8111	3.426711	0
3.83202	3.426601	0
3.85306	3.426492	0
3.87422	3.426384	0
3.89549	3.426278	0
3.91688	3.426173	0
3.93839	3.426068	0
3.96001	3.425965	0
3.98175	3.425863	0
4.00362	3.425763	0
4.0256	3.425663	0
4.0477	3.425564	0
4.06993	3.425467	0
4.09227	3.42537	0
4.11474	3.425275	0
4.13734	3.425181	0
4.16005	3.425087	0
4.1829	3.424995	0
4.20586	3.424903	0
4.22896	3.424813	0
4.25218	3.424724	0
4.27552	3.424635	0
4.299	3.424548	0
4.3226	3.424461	0
4.34634	3.424376	0
4.3702	3.424291	0
4.3942	3.424208	0
4.41832	3.424125	0
4.44258	3.424043	0
4.46698	3.423962	0
4.4915	3.423882	0
4.51616	3.423803	0
4.54096	3.423724	0
4.56589	3.423647	0
4.59096	3.42357	0
4.61617	3.423494	0
4.64152	3.423419	0
4.667	3.423345	0
4.69263	3.423271	0
4.71839	3.423199	0
4.7443	3.423127	0
4.77035	3.423056	0
4.79654	3.422986	0
4.82288	3.422916	0
4.84936	3.422847	0
4.87599	3.422779	0
4.90276	3.422712	0
4.92968	3.422646	0
4.95675	3.42258	0
4.98396	3.422515	0
5.01133	3.42245	0
5.03884	3.422387	0
5.06651	3.422324	0
5.09433	3.422261	0
5.1223	3.4222	0
5.15042	3.422139	0
5.1787	3.422079	0
5.20714	3.422019	0
5.23573	3.42196	0
5.26448	3.421902	0
5.29338	3.421844	0
5.32245	3.421787	0
5.35167	3.42173	0
5.38105	3.421675	0
5.4106	3.421619	0
5.44031	3.421565	0
5.47018	3.421511	0
5.50021	3.421457	0
5.53041	3.421404	0
5.56078	3.421352	0
5.59131	3.4213	0
5.62201	3.421249	0
5.65288	3.421199	0
5.68392	3.421149	0
5.71513	3.421099	0
5.74651	3.42105	0
5.77806	3.421002	0
5.80979	3.420954	0
5.84169	3.420906	0
5.87376	3.420859	0
5.90601	3.420813	0
5.93844	3.420767	0
5.97105	3.420722	0
6.00383	3.420677	0
6.0368	3.420633	0
6.06994	3.420589	0
6.10327	3.420545	0
6.13678	3.420502	0
6.17048	3.42046	0
6.20436	3.420418	0
6.23842	3.420376	0
6.25	3.420362	2.670000e-06
6.25782	3.420353	2.670000e-06
6.26566	3.420344	2.670000e-06
6.27268	3.420335	2.670000e-06
6.27353	3.420334	2.670000e-06
6.28141	3.420325	2.670000e-06
6.28931	3.420315	2.670000e-06
6.29723	3.420306	2.230000e-06
6.30517	3.420297	2.230000e-06
6.30712	3.420295	2.230000e-06
6.31313	3.420288	2.230000e-06
6.32111	3.420278	2.230000e-06
6.32911	3.420269	2.230000e-06
6.33714	3.42026	2.230000e-06
6.34175	3.420254	2.230000e-06
6.34518	3.42025	2.230000e-06
6.35324	3.420241	2.230000e-06
6.36132	3.420232	2.230000e-06
6.36943	3.420223	2.230000e-06
6.37657	3.420215	2.230000e-06
6.37755	3.420213	2.230000e-06
6.3857	3.420204	2.230000e-06
6.39386	3.420195	2.230000e-06
6.40205	3.420186	2.230000e-06
6.41026	3.420177	2.230000e-06
6.41158	3.420175	2.230000e-06
6.41849	3.420168	2.230000e-06
6.42674	3.420158	2.230000e-06
6.43501	3.420149	2.230000e-06
6.4433	3.42014	2.230000e-06
6.44678	3.420136	2.230000e-06
6.45161	3.420131	2.230000e-06
6.45995	3.420122	2.230000e-06
6.46831	3.420113	2.230000e-06
6.47668	3.420104	2.230000e-06
6.48218	3.420098	2.230000e-06
6.48508	3.420095	2.230000e-06
6.49351	3.420086	2.230000e-06
6.50195	3.420077	2.230000e-06
6.51042	3.420068	2.230000e-06
6.51777	3.42006	2.611367e-06
6.5189	3.420059	2.670000e-06
6.52742	3.420049	2.670000e-06
6.53595	3.420041	2.670000e-06
6.5445	3.420032	2.670000e-06
6.55308	3.420023	2.670000e-06
6.55356	3.420022	2.694042e-06
6.56168	3.420014	3.100000e-06
6.5703	3.420005	2.670000e-06
6.57895	3.419996	3.100000e-06
6.58762	3.419987	3.100000e-06
6.58954	3.419985	3.197665e-06
6.59631	3.419978	3.540000e-06
6.60502	3.419969	3.540000e-06
6.61376	3.41996	3.970000e-06
6.62252	3.419951	3.970000e-06
6.62573	3.419948	4.130753e-06
6.6313	3.419942	4.410000e-06
6.64011	3.419933	4.410000e-06
6.64894	3.419925	4.410000e-06
6.65779	3.419916	4.840000e-06
6.66211	3.419912	5.053909e-06
6.66667	3.419907	5.280000e-06
6.67557	3.419898	5.710000e-06
6.68449	3.419889	5.710000e-06
6.69344	3.419881	7.020000e-06
6.69868	3.419875	7.020000e-06
6.70241	3.419872	7.020000e-06
6.71141	3.419863	7.890000e-06
6.72043	3.419854	8.760000e-06
6.72948	3.419846	9.630000e-06
6.73547	3.41984	1.020461e-05
6.73854	3.419837	1.050000e-05
6.74764	3.419828	1.140000e-05
6.75676	3.419819	1.220000e-05
6.7659	3.419811	1.310000e-05
6.77245	3.419805	1.402845e-05
6.77507	3.419802	1.440000e-05
6.78426	3.419793	1.530000e-05
6.79348	3.419785	1.660000e-05
6.80272	3.419776	1.790000e-05
6.80963	3.41977	1.886951e-05
6.81199	3.419767	1.920000e-05
6.82128	3.419759	2.050000e-05
6.8306	3.41975	2.180000e-05
6.83995	3.419742	2.350000e-05
6.84702	3.419735	2.455745e-05
6.84932	3.419733	2.490000e-05
6.85871	3.419724	2.620000e-05
6.86813	3.419716	2.750000e-05
6.87758	3.419707	2.830000e-05
6.88462	3.419701	2.867148e-05
6.88705	3.419699	2.880000e-05
6.89655	3.41969	2.920000e-05
6.90608	3.419682	2.960000e-05
6.91563	3.419673	2.960000e-05
6.92242	3.419667	2.931647e-05
6.92521	3.419665	2.920000e-05
6.93481	3.419656	2.920000e-05
6.94444	3.419648	2.880000e-05
6.9541	3.419639	2.750000e-05
6.96043	3.419634	2.717350e-05
6.96379	3.419631	2.700000e-05
6.9735	3.419623	2.660000e-05
6.98324	3.419614	2.530000e-05
6.99301	3.419606	2.490000e-05
6.99865	3.419601	2.438191e-05
7.0028	3.419597	2.400000e-05
7.01262	3.419589	2.310000e-05
7.02247	3.419581	2.270000e-05
7.03235	3.419572	2.220000e-05
7.03707	3.419568	2.200924e-05
7.04225	3.419564	2.180000e-05
7.05219	3.419555	2.140000e-05
7.06215	3.419547	2.140000e-05
7.07214	3.419539	2.090000e-05
7.07571	3.419536	2.090000e-05
7.08215	3.419531	2.090000e-05
7.0922	3.419522	2.090000e-05
7.10227	3.419514	2.090000e-05
7.11238	3.419506	2.090000e-05
7.11456	3.419504	2.090000e-05
7.12251	3.419497	2.090000e-05
7.13267	3.419489	2.090000e-05
7.14286	3.419481	2.090000e-05
7.15308	3.419473	2.090000e-05
7.15363	3.419472	2.090000e-05
7.16332	3.419465	2.090000e-05
7.1736	3.419456	2.090000e-05
7.18391	3.419448	2.090000e-05
7.1929	3.419441	2.090000e-05
7.19424	3.41944	2.090000e-05
7.20461	3.419432	2.090000e-05
7.21501	3.419424	2.090000e-05
7.22543	3.419416	2.090000e-05
7.2324	3.41941	2.090000e-05
7.23589	3.419407	2.090000e-05
7.24638	3.419399	2.140000e-05
7.25689	3.419391	2.090000e-05
7.26744	3.419383	2.090000e-05
7.27211	3.41938	2.090000e-05
7.27802	3.419375	2.090000e-05
7.28863	3.419367	2.140000e-05
7.29927	3.419359	2.090000e-05
7.30994	3.419351	2.090000e-05
7.31204	3.419349	2.090000e-05
7.32064	3.419343	2.090000e-05
7.33138	3.419335	2.090000e-05
7.34214	3.419327	2.050000e-05
7.35219	3.419319	2.012800e-05
7.35294	3.419319	2.010000e-05
7.36377	3.419311	2.010000e-05
7.37463	3.419303	1.960000e-05
7.38552	3.419295	1.960000e-05
7.39255	3.41929	1.934264e-05
7.39645	3.419287	1.920000e-05
7.40741	3.419279	1.920000e-05
7.4184	3.419271	1.920000e-05
7.42942	3.419263	1.920000e-05
7.43314	3.41926	1.920000e-05
7.44048	3.419255	1.920000e-05
7.45156	3.419247	1.920000e-05
7.46269	3.419239	1.960000e-05
7.47384	3.419232	1.960000e-05
7.47396	3.419231	1.960517e-05
7.48503	3.419224	2.010000e-05
7.49625	3.419216	2.090000e-05
7.50751	3.419208	2.140000e-05
7.51499	3.419203	2.193053e-05
7.5188	3.4192	2.220000e-05
7.53012	3.419192	2.310000e-05
7.54148	3.419185	2.350000e-05
7.55287	3.419177	2.440000e-05
7.55626	3.419175	2.466675e-05
7.5643	3.419169	2.530000e-05
7.57576	3.419161	2.620000e-05
7.58725	3.419154	2.660000e-05
7.59775	3.419146	2.741895e-05
7.59878	3.419146	2.750000e-05
7.61035	3.419138	2.830000e-05
7.62195	3.41913	2.880000e-05
7.63359	3.419123	2.920000e-05
7.63946	3.419119	2.940133e-05
7.64526	3.419115	2.960000e-05
7.65697	3.419107	2.960000e-05
7.66871	3.4191	3.010000e-05
7.68049	3.419092	3.010000e-05
7.68141	3.419091	3.010000e-05
7.69231	3.419084	3.010000e-05
7.70416	3.419077	3.010000e-05
7.71605	3.419069	2.960000e-05
7.72358	3.419064	2.960000e-05
7.72798	3.419061	2.960000e-05
7.73994	3.419054	2.920000e-05
7.75194	3.419046	2.880000e-05
7.76398	3.419039	2.830000e-05
7.76599	3.419037	2.823317e-05
7.77605	3.419031	2.790000e-05
7.78816	3.419024	2.750000e-05
7.80031	3.419016	2.700000e-05
7.80863	3.419011	2.672690e-05
7.8125	3.419008	2.660000e-05
7.82473	3.419001	2.530000e-05
7.83699	3.418993	2.530000e-05
7.84929	3.418986	2.490000e-05
7.85151	3.418985	2.481028e-05
7.86164	3.418978	2.440000e-05
7.87402	3.418971	2.350000e-05
7.88644	3.418964	2.350000e-05
7.89462	3.418959	2.297456e-05
7.89889	3.418956	2.270000e-05
7.91139	3.418949	2.220000e-05
7.92393	3.418941	2.180000e-05
7.93651	3.418934	2.140000e-05
7.93797	3.418933	2.134226e-05
7.94913	3.418926	2.090000e-05
7.96178	3.418919	2.050000e-05
7.97448	3.418912	2.050000e-05
7.98155	3.418908	2.027805e-05
7.98722	3.418904	2.010000e-05
8	3.418897	2.010000e-05
8.01282	3.41889	1.960000e-05
8.02537	3.418882	1.960000e-05
8.02568	3.418882	1.960000e-05
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8.06452	3.41886	1.920000e-05
8.06944	3.418858	1.904886e-05
8.07754	3.418853	1.880000e-05
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8.11688	3.418831	1.830000e-05
8.13008	3.418824	1.830000e-05
8.14332	3.418817	1.830000e-05
8.15661	3.41881	1.830000e-05
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8.18331	3.418795	1.920000e-05
8.19672	3.418788	1.920000e-05
8.20309	3.418785	1.920000e-05
8.21018	3.418781	1.920000e-05
8.22368	3.418774	2.010000e-05
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8.24813	3.418761	2.130090e-05
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8.30565	3.418731	2.570000e-05
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8.33333	3.418717	2.790000e-05
8.33896	3.418714	2.842537e-05
8.34725	3.41871	2.920000e-05
8.3612	3.418703	3.090000e-05
8.37521	3.418696	3.180000e-05
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8.38926	3.418689	3.310000e-05
8.40336	3.418682	3.440000e-05
8.41751	3.418675	3.570000e-05
8.43078	3.418668	3.691547e-05
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8.44595	3.418661	3.790000e-05
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8.54701	3.418612	4.440000e-05
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8.63558	3.418571	5.010000e-05
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8.66479	3.418558	5.263744e-05
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8.68056	3.418551	5.400000e-05
8.69565	3.418544	5.530000e-05
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10	3.41807	7.400000e-05
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10.156	3.418026	0.0001006817
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16.7224	3.417126	0.000637
16.7785	3.417123	0.00054
16.8075	3.417121	0.0005102776
16.835	3.417119	0.000482
16.8919	3.417116	0.000434
16.8998	3.417115	0.0004291917
16.9492	3.417112	0.000399
16.9925	3.41711	0.0003786753
17.0068	3.417109	0.000372
17.0648	3.417105	0.000351
17.0859	3.417104	0.0003466871
17.1233	3.417102	0.000339
17.1797	3.417099	0.0003322935
17.1821	3.417099	0.000332
17.2414	3.417095	0.000329
17.274	3.417093	0.000329
17.301	3.417092	0.000329
17.3611	3.417088	0.000332
17.3688	3.417088	0.0003328941
17.4216	3.417085	0.000339
17.4642	3.417083	0.0003508893
17.4825	3.417082	0.000356
17.5439	3.417078	0.000383
17.5601	3.417077	0.0003885192
17.6056	3.417075	0.000404
17.6565	3.417072	0.0004056357
17.6678	3.417072	0.000406
17.7305	3.417068	0.000398
17.7535	3.417067	0.0003943609
17.7936	3.417065	0.000388
17.8509	3.417062	0.0003798789
17.8571	3.417062	0.000379
17.9211	3.417058	0.000371
17.949	3.417057	0.0003675495
17.9856	3.417055	0.000363
18.0475	3.417052	0.0003572807
18.0505	3.417052	0.000357
18.1159	3.417049	0.000352
18.1466	3.417047	0.000349208
18.1818	3.417045	0.000346
18.2462	3.417042	0.0003411463
18.2482	3.417042	0.000341
18.315	3.417039	0.000333
18.3464	3.417037	0.0003311347
18.3824	3.417036	0.000329
18.4472	3.417033	0.0003242235
18.4502	3.417032	0.000324
18.5185	3.417029	0.000315
18.5484	3.417028	0.0003128268
18.5874	3.417026	0.00031
18.6503	3.417023	0.0003081855
18.6567	3.417023	0.000308
18.7266	3.41702	0.000306
18.7527	3.417019	0.000304888
18.797	3.417017	0.000303
18.8557	3.417014	0.0003005191
18.8679	3.417014	0.0003
18.9394	3.41701	0.000297
18.9592	3.41701	0.0002959008
19.0114	3.417007	0.000293
19.0633	3.417005	0.0002915702
19.084	3.417004	0.000291
19.1571	3.417001	0.000286
19.168	3.417001	0.0002849679
19.2308	3.416998	0.000279
19.2732	3.416996	0.0002755715
19.305	3.416995	0.000273
19.379	3.416992	0.0002660771
19.3798	3.416992	0.000266
19.4553	3.416989	0.000255
19.4854	3.416988	0.0002510299
19.5312	3.416986	0.000245
19.5924	3.416984	0.0002402087
19.6078	3.416983	0.000239
19.685	3.41698	0.000234
19.7	3.416979	0.0002328472
19.7628	3.416977	0.000228
19.8082	3.416975	0.0002239558
19.8413	3.416974	0.000221
19.9169	3.416971	0.0002143014
19.9203	3.416971	0.000214
20	3.416968	0.000211
20.0263	3.416967	0.0002100187
20.0803	3.416965	0.000208
20.1362	3.416963	0.000206619
20.1613	3.416962	0.000206
20.2429	3.416959	0.00021
20.2468	3.416959	0.0002103299
20.3252	3.416956	0.000217
20.358	3.416955	0.0002197641
20.4082	3.416954	0.000224
20.4697	3.416951	0.0002269449
20.4918	3.416951	0.000228
20.5761	3.416948	0.000228
20.5821	3.416948	0.0002280706
20.6612	3.416945	0.000229
20.6951	3.416944	0.0002278107
20.7469	3.416942	0.000226
20.8088	3.41694	0.0002195568
20.8333	3.416939	0.000217
20.9205	3.416937	0.000213
20.923	3.416936	0.0002128563
21.0084	3.416934	0.000208
21.0379	3.416933	0.0002056698
21.097	3.416931	0.000201
21.1534	3.416929	0.0001959547
21.1864	3.416928	0.000193
21.2696	3.416926	0.0001800909
21.2766	3.416925	0.000179
21.3675	3.416923	0.000165
21.3864	3.416922	0.000159455
21.4592	3.41692	0.000138
21.5038	3.416919	0.0001249948
21.5517	3.416917	0.000111
21.6219	3.416915	0.0001001762
21.645	3.416914	9.660000e-05
21.7391	3.416912	8.360000e-05
21.7406	3.416912	8.346804e-05
21.8341	3.416909	7.490000e-05
21.8599	3.416908	7.454868e-05
21.9298	3.416906	7.360000e-05
21.98	3.416905	7.401523e-05
22.0264	3.416904	7.440000e-05
22.1007	3.416902	7.577076e-05
22.1239	3.416901	7.620000e-05
22.222	3.416898	7.620000e-05

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: —

Plot