Evaluation of refractive-index and material dispersion in fluoride
glasses

Lipeng Zhang; Fuxi Gan; Paul Wang

doi:10.1364/AO.33.000050

Applied Optics
Vol. 33,
Issue 1,
pp. 50-56
(1994)
•https://doi.org/10.1364/AO.33.000050

Evaluation of refractive-index and material dispersion in fluoride glasses

Lipeng Zhang, Fuxi Gan, and Paul Wang

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Lipeng Zhang, Fuxi Gan, and Paul Wang, "Evaluation of refractive-index and material dispersion in fluoride glasses," Appl. Opt. 33, 50-56 (1994)

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Abstract

The relationships between the refractive-index and material dispersion of fluoride glasses and their compositions have been studied. A set of parameters was established that can be used to calculate approximately the refractive-index and material dispersion of fluoride glasses. The calculated and measured results agree well.

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MFn	f _UV	λ_UV (μm)	f _IR	λ_IR (μm)
LiF	0.9470	0.0738	3.2705	32.7912
NaF	0.8073	0.1170	4.6856	40.5731
KF	0.9572	0.1260	4.5935	55.5514
RbF	0.9895	0.1280	4.5531	63.2953
CsF	1.1130	0.1315	5.2235	78.7452
BeF₂	0.6123	0.0692	1.1792	13.1620
MgF₂	1.1893	0.0855	3.0834	23.4602
CaF₂	1.1961	0.1000	2.6825	32.8954
SrF₂	1.3434	0.1025	2.6935	37.4431
BaF₂	1.3855	0.1050	2.7631	44.4379
MnF₂	1.2069	0.1125	2.5862	26.1061
CuF₂	1.1305	0.1205	2.3274	24.1528
ZnF₂	1.3562	0.0975	3.3023	28.5939
CdF₂	1.6652	0.1015	3.5241	31.2532
PbF₂	2.3279	0.1510	4.0211	35.5892
CrF₃	0.8954	0.1213	2.0245	18.0538
FeF₃	0.9727	0.1236	1.5121	18.1871
AlF₃	0.7069	0.0728	1.2665	15.6344
GaF₃	0.7318	0.0892	1.8523	18.0476
InF₃	1.1828	0.1151	2.3158	23.7538
ScF₃	1.0713	0.0795	2.3585	20.8631
YF₃	1.1854	0.0855	2.6094	27.1789
LaF₃	1.4805	0.0900	3.4296	30.1871
CeF₃	1.4737	0.0914	3.1147	30.6809
PrF₃	1.4667	0.0892	3.0794	30.5252
NdF₃	1.4543	0.0890	3.1165	30.4302
SmF₃	1.4461	0.0889	3.1165	30.4161
EuF₃	1.4393	0.0889	2.9384	31.1069
GdF₃	1.4257	0.0889	3.0081	31.0279
TbF₃	1.4563	0.0883	2.9483	29.8546
DyF₃	1.4457	0.0880	2.9416	29.7545
HoF₃	1.4250	0.0878	2.9375	29.6254
ErF₃	1.4112	0.0878	2.9493	29.4889
TmF₃	1.3907	0.0878	2.9482	29.5233
YbF₃	1.3602	0.0878	3.0310	29.7332
LuF₃	1.3637	0.0878	2.9281	28.9131
ZrF₄	1.2429	0.0735	1.4821	17.5479
HfF₄	1.2018	0.0803	1.3945	22.2641
ThF₄	1.3044	0.0828	1.7069	25.2953

Glass	Composition (mol. %)	Ref.
BGZ	63ZrF₄–33BaF₂–4GdF₃	2
BGZA(2)	61.74ZrF₄–32.34BaF₂–3.92GdF₃–2AlF₃	1
BGZA(4)	60.48ZrF₄–31.68BaF₂–3.84GdF₃–4AlF₃	1
BGZA(6)	59.22ZrF₄–31.02BaF₂–3.76GdF₃–6AlF₃	1
BGZA–Li	58.06ZrF₄–30.41BaF₂–3.69GdF₃–3.84AlF₃–4LiF	1
BGZA–Cs	58.06ZrF₄–30.41BaF₂–3.69GdF₃–3.84AlF₃–4CsF	1
BGZA–Cd	58.06ZrF₄–30.41BaF₂–3.69GdF₃–3.84AlF₃–4CdF₂	1
BGZA–Pb	58.06ZrF₄–30.41BaF₂–3.69GdF₃–3.84AlF₃–4PbF₂	1
BGZA–Y	58.06ZrF₄–30.41BaF₂–3.69GdF₃–3.84AlF₃–4YF₃	1
ZBLA	57ZrF₄–36BaF₂–4AlF₃–3LaF₃	3
ZBLAN	55.8ZrF₄–14.4BaF₂–3.8AlF₃–5.8LaF₃–20.2NaF	3
CBYA	22CaF₂–22BaF₂–16YF₃–40AlF₃	2
BZYbT	19BaF₂–27ZnF₂–27YbF₃–27ThF₄	4
CLAP	28.5CdF₂–5LiF–28.5AlF₃–38PbF₂	4
ZBLANP	53ZrF₄–15BaF₂–4LaF₃–3AlF₃–20NaF–5PbF₂	5
ZBLANInP	52ZrF₄–20BaF₂–5LaF₃–4AlF₃–15NaF–3InF₃–1PbF₂	5
ZBLAN₁	52ZrF₄–24BaF₂–5LaF₃–4AlF₃–15NaF	5
ZBLANIn	50ZrF₄–21BaF₂–5LaF₃–4AlF₃–17NaF–3InF₃	5

		λ₀ (Cal.) (μm)

Glass	λ₀ (Meas.) (μm)	This Work [Eq. (6)]	According to Nassau12	Ref.
BGZ	1.62	1.643	1.853	2
BGZA(2)	1.682	1.707	1.841	1
BGZA(4)	1.675	1.700	1.830	1
BGZA(6)	1.670	1.667	1.819	1
BGZA–Li	1.670	1.643	1.823	1
BGZA–Cs	1.668	1.693	1.861	1
BGZA–Cd	1.681	1.707	1.846	1
BGZA–Pb	1.704	1.714	1.868	1
BGZA–Y	1.673	1.693	1.821	1
ZBLA	1.69	1.686	1.852	3
ZBLAN	1.62	1.617	1.748	3
CBYA	1.48	1.586	1.612	2
BZYbT	1.76	1.836	—	4
CLAP	2.07	2.083	—	4
ZBLANP	1.659	1.713	—	5
ZBLANInP	1.644	1.682	—	5
ZBLAN₁	1.626	1.683	—	5
ZBLANIn	1.575	1.682	—	5

MFn	f _UV	λ_UV (μm)	f _IR	λ_IR (μm)
LiF	0.9470	0.0738	3.2705	32.7912
NaF	0.8073	0.1170	4.6856	40.5731
KF	0.9572	0.1260	4.5935	55.5514
RbF	0.9895	0.1280	4.5531	63.2953
CsF	1.1130	0.1315	5.2235	78.7452
BeF₂	0.6123	0.0692	1.1792	13.1620
MgF₂	1.1893	0.0855	3.0834	23.4602
CaF₂	1.1961	0.1000	2.6825	32.8954
SrF₂	1.3434	0.1025	2.6935	37.4431
BaF₂	1.3855	0.1050	2.7631	44.4379
MnF₂	1.2069	0.1125	2.5862	26.1061
CuF₂	1.1305	0.1205	2.3274	24.1528
ZnF₂	1.3562	0.0975	3.3023	28.5939
CdF₂	1.6652	0.1015	3.5241	31.2532
PbF₂	2.3279	0.1510	4.0211	35.5892
CrF₃	0.8954	0.1213	2.0245	18.0538
FeF₃	0.9727	0.1236	1.5121	18.1871
AlF₃	0.7069	0.0728	1.2665	15.6344
GaF₃	0.7318	0.0892	1.8523	18.0476
InF₃	1.1828	0.1151	2.3158	23.7538
ScF₃	1.0713	0.0795	2.3585	20.8631
YF₃	1.1854	0.0855	2.6094	27.1789
LaF₃	1.4805	0.0900	3.4296	30.1871
CeF₃	1.4737	0.0914	3.1147	30.6809
PrF₃	1.4667	0.0892	3.0794	30.5252
NdF₃	1.4543	0.0890	3.1165	30.4302
SmF₃	1.4461	0.0889	3.1165	30.4161
EuF₃	1.4393	0.0889	2.9384	31.1069
GdF₃	1.4257	0.0889	3.0081	31.0279
TbF₃	1.4563	0.0883	2.9483	29.8546
DyF₃	1.4457	0.0880	2.9416	29.7545
HoF₃	1.4250	0.0878	2.9375	29.6254
ErF₃	1.4112	0.0878	2.9493	29.4889
TmF₃	1.3907	0.0878	2.9482	29.5233
YbF₃	1.3602	0.0878	3.0310	29.7332
LuF₃	1.3637	0.0878	2.9281	28.9131
ZrF₄	1.2429	0.0735	1.4821	17.5479
HfF₄	1.2018	0.0803	1.3945	22.2641
ThF₄	1.3044	0.0828	1.7069	25.2953

Glass	Composition (mol. %)	Ref.
BGZ	63ZrF₄–33BaF₂–4GdF₃	2
BGZA(2)	61.74ZrF₄–32.34BaF₂–3.92GdF₃–2AlF₃	1
BGZA(4)	60.48ZrF₄–31.68BaF₂–3.84GdF₃–4AlF₃	1
BGZA(6)	59.22ZrF₄–31.02BaF₂–3.76GdF₃–6AlF₃	1
BGZA–Li	58.06ZrF₄–30.41BaF₂–3.69GdF₃–3.84AlF₃–4LiF	1
BGZA–Cs	58.06ZrF₄–30.41BaF₂–3.69GdF₃–3.84AlF₃–4CsF	1
BGZA–Cd	58.06ZrF₄–30.41BaF₂–3.69GdF₃–3.84AlF₃–4CdF₂	1
BGZA–Pb	58.06ZrF₄–30.41BaF₂–3.69GdF₃–3.84AlF₃–4PbF₂	1
BGZA–Y	58.06ZrF₄–30.41BaF₂–3.69GdF₃–3.84AlF₃–4YF₃	1
ZBLA	57ZrF₄–36BaF₂–4AlF₃–3LaF₃	3
ZBLAN	55.8ZrF₄–14.4BaF₂–3.8AlF₃–5.8LaF₃–20.2NaF	3
CBYA	22CaF₂–22BaF₂–16YF₃–40AlF₃	2
BZYbT	19BaF₂–27ZnF₂–27YbF₃–27ThF₄	4
CLAP	28.5CdF₂–5LiF–28.5AlF₃–38PbF₂	4
ZBLANP	53ZrF₄–15BaF₂–4LaF₃–3AlF₃–20NaF–5PbF₂	5
ZBLANInP	52ZrF₄–20BaF₂–5LaF₃–4AlF₃–15NaF–3InF₃–1PbF₂	5
ZBLAN₁	52ZrF₄–24BaF₂–5LaF₃–4AlF₃–15NaF	5
ZBLANIn	50ZrF₄–21BaF₂–5LaF₃–4AlF₃–17NaF–3InF₃	5

Abstract

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Equations (18)

Applied Optics