Design considerations in counting particles by size with an optical–digital training method

H. Stark; G. Shao

doi:10.1364/AO.16.001670

Applied Optics
Vol. 16,
Issue 6,
pp. 1670-1674
(1977)
•https://doi.org/10.1364/AO.16.001670

Design considerations in counting particles by size with an optical–digital training method

H. Stark and G. Shao

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H. Stark and G. Shao, "Design considerations in counting particles by size with an optical–digital training method," Appl. Opt. 16, 1670-1674 (1977)

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Abstract

We discuss a technique whereby an optical–digital computer is trained to do particle-size analysis by sampling the light diffracted from a collection of particles in a coherent optical system. The computer learns the signatures of different particle classes by analyzing the light diffracted from mixed slides, i.e., slides containing more than one class of particles. Two alternative algorithms for particle-size estimation are given. Some important design considerations are discussed.

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Equations (16)

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Actual			Estimated

L	M	S	L	M	S
100	20	30	92	22	34
80	20	50	86	17	51
80	40	30	81	39	24
70	50	30	72	49	26
70	30	50	63	45	46
60	40	50	66	30	54
50	40	60	56	35	67
50	70	30	51	65	40
40	70	40	38	77	44
40	61	50	43	64	37
30	61	60	31	59	52
20	61	70	18	61	68
10	61	70	5	62	77

Actual			Estimated

L	M	S	L	M	S
100	20	30	84	23	26
80	20	40	82	20	54
80	40	30	99	28	30
70	50	30	87	38	23
70	30	50	66	41	47
60	40	50	54	42	52
50	40	60	41	46	73
50	70	30	18	86	37
40	70	40	40	76	46
40	61	50	67	56	50
30	61	60	35	48	47
20	61	70	41	53	63
10	61	70	0	69	74

Actual			Estimated

L	M	S	L	M	S
100	20	30	92	22	34
80	20	50	86	17	51
80	40	30	81	39	24
70	50	30	72	49	26
70	30	50	63	45	46
60	40	50	66	30	54
50	40	60	56	35	67
50	70	30	51	65	40
40	70	40	38	77	44
40	61	50	43	64	37
30	61	60	31	59	52
20	61	70	18	61	68
10	61	70	5	62	77

Actual			Estimated

L	M	S	L	M	S
100	20	30	84	23	26
80	20	40	82	20	54
80	40	30	99	28	30
70	50	30	87	38	23
70	30	50	66	41	47
60	40	50	54	42	52
50	40	60	41	46	73
50	70	30	18	86	37
40	70	40	40	76	46
40	61	50	67	56	50
30	61	60	35	48	47
20	61	70	41	53	63
10	61	70	0	69	74

Actual			Estimated

L	M	S	L	M	S
100	20	30	92	22	34
80	20	50	86	17	51
80	40	30	81	39	24
70	50	30	72	49	26
70	30	50	63	45	46
60	40	50	66	30	54
50	40	60	56	35	67
50	70	30	51	65	40
40	70	40	38	77	44
40	61	50	43	64	37
30	61	60	31	59	52
20	61	70	18	61	68
10	61	70	5	62	77

Actual			Estimated

L	M	S	L	M	S
100	20	30	84	23	26
80	20	40	82	20	54
80	40	30	99	28	30
70	50	30	87	38	23
70	30	50	66	41	47
60	40	50	54	42	52
50	40	60	41	46	73
50	70	30	18	86	37
40	70	40	40	76	46
40	61	50	67	56	50
30	61	60	35	48	47
20	61	70	41	53	63
10	61	70	0	69	74

Actual			Estimated

L	M	S	L	M	S
100	20	30	92	22	34
80	20	50	86	17	51
80	40	30	81	39	24
70	50	30	72	49	26
70	30	50	63	45	46
60	40	50	66	30	54
50	40	60	56	35	67
50	70	30	51	65	40
40	70	40	38	77	44
40	61	50	43	64	37
30	61	60	31	59	52
20	61	70	18	61	68
10	61	70	5	62	77

Actual			Estimated

L	M	S	L	M	S
100	20	30	84	23	26
80	20	40	82	20	54
80	40	30	99	28	30
70	50	30	87	38	23
70	30	50	66	41	47
60	40	50	54	42	52
50	40	60	41	46	73
50	70	30	18	86	37
40	70	40	40	76	46
40	61	50	67	56	50
30	61	60	35	48	47
20	61	70	41	53	63
10	61	70	0	69	74

Actual			Estimated

L	M	S	L	M	S
100	20	30	92	22	34
80	20	50	86	17	51
80	40	30	81	39	24
70	50	30	72	49	26
70	30	50	63	45	46
60	40	50	66	30	54
50	40	60	56	35	67
50	70	30	51	65	40
40	70	40	38	77	44
40	61	50	43	64	37
30	61	60	31	59	52
20	61	70	18	61	68
10	61	70	5	62	77

Actual			Estimated

L	M	S	L	M	S
100	20	30	84	23	26
80	20	40	82	20	54
80	40	30	99	28	30
70	50	30	87	38	23
70	30	50	66	41	47
60	40	50	54	42	52
50	40	60	41	46	73
50	70	30	18	86	37
40	70	40	40	76	46
40	61	50	67	56	50
30	61	60	35	48	47
20	61	70	41	53	63
10	61	70	0	69	74

Actual			Estimated

L	M	S	L	M	S
100	20	30	92	22	34
80	20	50	86	17	51
80	40	30	81	39	24
70	50	30	72	49	26
70	30	50	63	45	46
60	40	50	66	30	54
50	40	60	56	35	67
50	70	30	51	65	40
40	70	40	38	77	44
40	61	50	43	64	37
30	61	60	31	59	52
20	61	70	18	61	68
10	61	70	5	62	77

Actual			Estimated

L	M	S	L	M	S
100	20	30	84	23	26
80	20	40	82	20	54
80	40	30	99	28	30
70	50	30	87	38	23
70	30	50	66	41	47
60	40	50	54	42	52
50	40	60	41	46	73
50	70	30	18	86	37
40	70	40	40	76	46
40	61	50	67	56	50
30	61	60	35	48	47
20	61	70	41	53	63
10	61	70	0	69	74

Abstract

Cited By

Figures (7)

Tables (2)

Equations (16)

Applied Optics

Actual			Estimated

L	M	S	L	M	S
100	20	30	92	22	34
80	20	50	86	17	51
80	40	30	81	39	24
70	50	30	72	49	26
70	30	50	63	45	46
60	40	50	66	30	54
50	40	60	56	35	67
50	70	30	51	65	40
40	70	40	38	77	44
40	61	50	43	64	37
30	61	60	31	59	52
20	61	70	18	61	68
10	61	70	5	62	77

Actual			Estimated

L	M	S	L	M	S
100	20	30	84	23	26
80	20	40	82	20	54
80	40	30	99	28	30
70	50	30	87	38	23
70	30	50	66	41	47
60	40	50	54	42	52
50	40	60	41	46	73
50	70	30	18	86	37
40	70	40	40	76	46
40	61	50	67	56	50
30	61	60	35	48	47
20	61	70	41	53	63
10	61	70	0	69	74

Actual			Estimated

L	M	S	L	M	S
100	20	30	92	22	34
80	20	50	86	17	51
80	40	30	81	39	24
70	50	30	72	49	26
70	30	50	63	45	46
60	40	50	66	30	54
50	40	60	56	35	67
50	70	30	51	65	40
40	70	40	38	77	44
40	61	50	43	64	37
30	61	60	31	59	52
20	61	70	18	61	68
10	61	70	5	62	77

Actual			Estimated

L	M	S	L	M	S
100	20	30	84	23	26
80	20	40	82	20	54
80	40	30	99	28	30
70	50	30	87	38	23
70	30	50	66	41	47
60	40	50	54	42	52
50	40	60	41	46	73
50	70	30	18	86	37
40	70	40	40	76	46
40	61	50	67	56	50
30	61	60	35	48	47
20	61	70	41	53	63
10	61	70	0	69	74