Optimization of parameters in matched spatial filter synthesis

David Casasent; Alan Furman

doi:10.1364/AO.16.001662

Applied Optics
Vol. 16,
Issue 6,
pp. 1662-1669
(1977)
•https://doi.org/10.1364/AO.16.001662

Optimization of parameters in matched spatial filter synthesis

David Casasent and Alan Furman

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David Casasent and Alan Furman, "Optimization of parameters in matched spatial filter synthesis," Appl. Opt. 16, 1662-1669 (1977)

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Abstract

Criteria are provided for the selection of various matched spatial filter (MSF) synthesis parameters: the bias exposure (E_B); beam balance ratio (K); and spatial frequency band (f*) in which K is set. The signal-to-noise ratio (SNR) and peak intensity (I_p) of the output correlation are used as measures of optimum correlation and a diffraction pattern sampling unit is used to insure reliable and reproducible data.

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Number	Bands in which K is set to 2	Corresponding ring numbers and (spatial frequencies f* in lp/mm)	K in indicated band

			A	B	C	D	E	F	G	H	I
1	A	3–5 (0.78–1.65)	2.11	6.44	15.6	37.3	86.5	240	727	2744	9127
2	B	6–8 (1.73–2.73)	0.48	1.6	4.4	10.67	25	69	209	773	2631
3	C	9–11 (2.81–4.10)	0.18	0.7	1.42	3.14	9.0	25	79	285	900
4	D	12–14 (4.18–5.97)	0.11	0.34	0.85	2.09	4.9	13	39.8	147	494
5	E	15–17 (6.07–8.75)	0.04	0.14	0.34	0.8	1.84	5.1	13.4	59	200
6	F	18–20 (8.81–12.7)	0.02	0.06	0.14	0.33	1.13	2.03	5.92	21.27	68.5
7	G	21–23 (12.8–18.3)	0.0015	0.02	0.05	0.11	0.39	0.72	2.13	7	23
8	H	24–26 (18.4–26.1)	1.5 × 10⁻³	4.6 × 10⁻³	1.1 × 10⁻²	2.54 × 10⁻²	5.9 × 10⁻²	0.16	4.8 × 10⁻¹	1.77	4
9	I	27–29 (26.2–36.7)	7.2 × 10⁻⁴	2.56 × 10⁻³	5.4 × 10⁻³	1.02 × 10⁻²	2.18 × 10⁻²	6.08 × 10⁻²	1.74 × 10⁻¹	6.0 × 10⁻¹	1.9

Ring 15 reading	649F Plate exposure (sec)	131 Plate exposure (sec)
0.002	500	5
0.01	100	1
0.05	20	0.2
0.2	5	0.05
1.0	1	0.01
5.0	0.2	0.002

Number	Bands in which K is set to 2	Corresponding ring numbers and (spatial frequencies f* in lp/mm)	K in indicated band

			A	B	C	D	E	F	G	H	I
1	A	3–5 (0.78–1.65)	2.11	6.44	15.6	37.3	86.5	240	727	2744	9127
2	B	6–8 (1.73–2.73)	0.48	1.6	4.4	10.67	25	69	209	773	2631
3	C	9–11 (2.81–4.10)	0.18	0.7	1.42	3.14	9.0	25	79	285	900
4	D	12–14 (4.18–5.97)	0.11	0.34	0.85	2.09	4.9	13	39.8	147	494
5	E	15–17 (6.07–8.75)	0.04	0.14	0.34	0.8	1.84	5.1	13.4	59	200
6	F	18–20 (8.81–12.7)	0.02	0.06	0.14	0.33	1.13	2.03	5.92	21.27	68.5
7	G	21–23 (12.8–18.3)	0.0015	0.02	0.05	0.11	0.39	0.72	2.13	7	23
8	H	24–26 (18.4–26.1)	1.5 × 10⁻³	4.6 × 10⁻³	1.1 × 10⁻²	2.54 × 10⁻²	5.9 × 10⁻²	0.16	4.8 × 10⁻¹	1.77	4
9	I	27–29 (26.2–36.7)	7.2 × 10⁻⁴	2.56 × 10⁻³	5.4 × 10⁻³	1.02 × 10⁻²	2.18 × 10⁻²	6.08 × 10⁻²	1.74 × 10⁻¹	6.0 × 10⁻¹	1.9

Ring 15 reading	649F Plate exposure (sec)	131 Plate exposure (sec)
0.002	500	5
0.01	100	1
0.05	20	0.2
0.2	5	0.05
1.0	1	0.01
5.0	0.2	0.002

Abstract

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Tables (2)

Equations (7)

Applied Optics