Optical glass filters: an algorithm for optimum design

Vincenzo Falletti; Amedeo Premoli; Maria Luisa Rastello

doi:10.1364/AO.21.004345

Applied Optics
Vol. 21,
Issue 23,
pp. 4345-4350
(1982)
•https://doi.org/10.1364/AO.21.004345

Optical glass filters: an algorithm for optimum design

Vincenzo Falletti, Amedeo Premoli, and Maria Luisa Rastello

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Vincenzo Falletti, Amedeo Premoli, and Maria Luisa Rastello, "Optical glass filters: an algorithm for optimum design," Appl. Opt. 21, 4345-4350 (1982)

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Abstract

A method based on an optimization algorithm is presented for designing optical glass filters arranged in series. It implies specially structured applications of linear programming, which automatically reject too thin glasses. The algorithm enables work on an original very large set of glasses to be achieved in acceptable CPU time.

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UG1	UG3	UG5	UG11	BG1	BG3	BG7
BG12	BG13	BG14	BG18	BG20	BG23	BG24
BG25	BG26	BG28	BG34	BG36	BG37	BG38
BG39	BG40	VG3	VG4	VG5	VG6	VG9
VG10	VG14	GG4	GG9	GG10	GG17	GG19
GG21	GG375	GG385	GG395	GG400	GG420	GG435
GG455	GG475	0G515	0G530	0G550	OG570	0G590
RG610	RG630	RG645	RG665	RG695	RG715	RG780
RG830	RG9	RG6	NG1	NG3	NG4	NG5
NG9	NG10	NG11	NG12	WG9	WG335	WG345
WG360	KG1	KG2	KG3	KG4	KG5	FG3
FG6	FG13	FG15	FG16	FG17	FG18	KV370
KV380	KV389	KV399	KV408	KV418	KV450	KV470
KV500	KV520	KV550

R₀	N₀	K₁	ζ_R1	N₁	K₂	ζ_R2	N₂	K₃	ζ^opt	CPU (s)

10%	65	6	0.5266	65	61	0.5266	6	1	0.5266	15.24
15%	65	6	0.7127	65	60	0.6398	14	3	0.6392	17.30
20%	64	3	0.7503	64	59	0.7503	11	3	0.7503	14.68
25%	63	5	0.8396	63	60	0.8396	9	1	0.8396	11.77
30%	62	2	0.9210	62	65	0.9210	5	1	0.9210	9.80
35%	61	2	0.9930	61	67	0.9930	9	1	0.9930	11.56
40%	60	2	1.0554	60	68	1.0554	9	1	1.0554	11.71
45%	59	2	1.1104	59	55	1.1032	19	3	1.1018	10.56
50%	59	5	1.1571	59	56	1.1571	10	1	1.1571	10.12
55%	57	2	1.2315	58	55	1.2285	18	3	1.2285	8.41
60%	56	4	1.4118	56	53	1.4118	4	1	1.4118	7.39
65%	54	4	1.6603	56	53	1.6603	29	13	1.6555	7.62
70%	54	2	1.8472	54	50	1.8472	10	1	1.8472	5.47
75%	53	2	2.0451	54	50	2.0451	10	1	2.0451	5.35
80%	52	2	2.2366	53	49	2.2341	23	3	2.2341	4.74

	10%	15%	20%	25%	30%	35%	40%	45%	50%	55%	60%	65%	70%	75%	80%

GG4	8.56	9.31	9.20	9.79	9.67	9.57	9.48	7.66	6.21	8.33	9.85	5.10	3.50	1.02	1.23
GG10	–	–	–	–	–	–	–	–	–	–	–	0.50	1.74	1.02	1.15
GG17	–	–	–	–	–	–	–	0.50	0.57	0.59	0.89	0.64	0.67	0.70	0.77
FG13	0.55	0.68	0.75	0.83	0.88	0.93	0.96	1.12	1.32	1.03	0.77	0.88	0.82	0.82	0.65
FG17	10.27	8.58	6.61	5.37	4.08	2.97	2.01	1.07	–	–	–	–	–	–	–
BG38	–	4.58	0.50	–	–	–	–	–	–	–	–	–	–	–	–
BG39	–	0.50	0.97	1.31	1.22	1.19	1.16	1.15	1.14	0.50	–	–	–	–	0.50
BG40	1.43	–	–	–	–	–	–	–	–	1.07	1.95	1.96	1.87	1.83	0.82
VG6	1.19	0.51	0.52	–	–	–	–	–	–	–	–	–	–	–	–
KG3	3.11	–	–	–	–	–	–	–	–	–	–	–	–	–	–
KV408	–	–	–	–	–	–	–	–	7.90	–	–	–	–	–	–

UG1	UG3	UG5	UG11	BG1	BG3	BG7
BG12	BG13	BG14	BG18	BG20	BG23	BG24
BG25	BG26	BG28	BG34	BG36	BG37	BG38
BG39	BG40	VG3	VG4	VG5	VG6	VG9
VG10	VG14	GG4	GG9	GG10	GG17	GG19
GG21	GG375	GG385	GG395	GG400	GG420	GG435
GG455	GG475	0G515	0G530	0G550	OG570	0G590
RG610	RG630	RG645	RG665	RG695	RG715	RG780
RG830	RG9	RG6	NG1	NG3	NG4	NG5
NG9	NG10	NG11	NG12	WG9	WG335	WG345
WG360	KG1	KG2	KG3	KG4	KG5	FG3
FG6	FG13	FG15	FG16	FG17	FG18	KV370
KV380	KV389	KV399	KV408	KV418	KV450	KV470
KV500	KV520	KV550

R₀	N₀	K₁	ζ_R1	N₁	K₂	ζ_R2	N₂	K₃	ζ^opt	CPU (s)

10%	65	6	0.5266	65	61	0.5266	6	1	0.5266	15.24
15%	65	6	0.7127	65	60	0.6398	14	3	0.6392	17.30
20%	64	3	0.7503	64	59	0.7503	11	3	0.7503	14.68
25%	63	5	0.8396	63	60	0.8396	9	1	0.8396	11.77
30%	62	2	0.9210	62	65	0.9210	5	1	0.9210	9.80
35%	61	2	0.9930	61	67	0.9930	9	1	0.9930	11.56
40%	60	2	1.0554	60	68	1.0554	9	1	1.0554	11.71
45%	59	2	1.1104	59	55	1.1032	19	3	1.1018	10.56
50%	59	5	1.1571	59	56	1.1571	10	1	1.1571	10.12
55%	57	2	1.2315	58	55	1.2285	18	3	1.2285	8.41
60%	56	4	1.4118	56	53	1.4118	4	1	1.4118	7.39
65%	54	4	1.6603	56	53	1.6603	29	13	1.6555	7.62
70%	54	2	1.8472	54	50	1.8472	10	1	1.8472	5.47
75%	53	2	2.0451	54	50	2.0451	10	1	2.0451	5.35
80%	52	2	2.2366	53	49	2.2341	23	3	2.2341	4.74

Abstract

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Figures (5)

Tables (3)

Equations (20)

Applied Optics