Effect of Chromatic Aberration on the Resolving Power of Photographic Objectives

Francis E. Washer

doi:10.1364/JOSA.57.000625

Journal of the Optical Society of America
Vol. 57,
Issue 5,
pp. 625-629
(1967)
•https://doi.org/10.1364/JOSA.57.000625

Effect of Chromatic Aberration on the Resolving Power of Photographic Objectives

Francis E. Washer

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Francis E. Washer, "Effect of Chromatic Aberration on the Resolving Power of Photographic Objectives," J. Opt. Soc. Am. 57, 625-629 (1967)

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Abstract

An empirical method for estimation of probable resolving power of a lens affected by longitudinal chromatic aberration is discussed. Values of the resolving power at a series of values of the f-number are calculated for selected values of longitudinal chromatic aberration, d_c. The variation of resolving power with f-number is presented graphically for selected values of longitudinal chromatic aberration and relative contrast. Indication is given of a critical aperture for which the resolving power is a maximum for a given set of values of chromatic aberration and relative contrast. The variation of relative contrast with resolving power is presented graphically for several values of the f-number for a lens having selected amounts of longitudinal chromatic aberration. A method for predicting the resolving power of a given lens–film combination is also indicated.

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		Values of a in lines/mm for d_c=

b	a₀	0.0	0.1	0.2	0.3	0.4
2.0	700.0	564.4	139.5	73.0	49.1	37.0
2.8	500.0	403.1	170.7	97.9	67.4	51.2
4.0	350.0	282.2	178.4	121.2	89.2	69.7
5.6	250.0	201.6	158.6	126.3	102.7	85.4
6.3	222.2	179.2	148.1	123.3	103.7	88.5
6.8	205.9	166.0	140.9	120.2	103.2	89.5
8.0	175.0	141.1	125.3	111.5	99.5	89.2
11.0	127.3	102.6	96.4	90.5	85.1	80.0
16.0	87.5	70.5	68.5	66.5	64.5	62.7
22.0	63.6	51.3	50.5	49.7	48.9	48.2

	Values of a in lines/mm for d_c=

b	0.5	0.6	0.7	0.8	0.9	1.0

2.0	29.6	24.7	21.2	18.6	16.5	14.8
2.8	41.2	34.4	29.6	25.9	23.0	20.7
4.0	57.0	48.1	41.5	36.5	32.6	29.4
5.6	72.5	62.6	55.0	48.9	44.0	40.0
6.3	76.5	67.1	59.5	53.3	48.2	44.0
6.8	78.5	69.5	62.1	56.0	50.9	46.5
8.0	80.3	72.7	66.2	60.6	55.7	51.5
11.0	75.3	71.0	67.0	63.3	59.9	56.7
16.0	60.8	59.1	57.4	55.8	54.2	52.7
22.0	47.4	46.7	46.0	45.3	44.6	43.9

	Values of a in lines/mm for d_c=

b	1.1	1.2	1.3	1.4	1.5
2.0	13.5	12.4	11.4	10.6	9.9
2.8	18.9	17.3	16.0	14.8	13.9
4.0	26.8	24.6	22.7	21.1	19.7
5.6	36.6	33.7	31.2	29.1	27.2
6.3	40.4	37.3	34.7	32.3	30.3
6.8	42.9	39.7	36.9	34.5	32.4
8.0	47.8	44.6	41.7	39.2	36.9
11.0	53.8	51.2	48.7	46.4	44.3
16.0	51.2	49.8	48.4	47.1	45.8
22.0	43.2	42.5	41.9	41.3	40.6

		Maximum resolving power a in lines/mm for and d_c=

b	E_a/E₀=	0.0	0.2	0.4	0.6	0.8
2	0.2	626	151	79	53	40
4		313	195	132	96	75
8		156	139	123	109	98
16		78	76	74	71	69
2	0.4	542	59	30	20	15
4		271	103	57	39	30
8		136	103	79	63	51
16		68	63	59	55	51
2	0.6	443	27	13	8.9	6.7
4		221	51	26	18	13
8		111	67	45	32	25
16		55	49	43	38	34

		Values of a in lines/mm for d_c=

b	a₀	0.0	0.1	0.2	0.3	0.4
2.0	700.0	564.4	139.5	73.0	49.1	37.0
2.8	500.0	403.1	170.7	97.9	67.4	51.2
4.0	350.0	282.2	178.4	121.2	89.2	69.7
5.6	250.0	201.6	158.6	126.3	102.7	85.4
6.3	222.2	179.2	148.1	123.3	103.7	88.5
6.8	205.9	166.0	140.9	120.2	103.2	89.5
8.0	175.0	141.1	125.3	111.5	99.5	89.2
11.0	127.3	102.6	96.4	90.5	85.1	80.0
16.0	87.5	70.5	68.5	66.5	64.5	62.7
22.0	63.6	51.3	50.5	49.7	48.9	48.2

	Values of a in lines/mm for d_c=

b	0.5	0.6	0.7	0.8	0.9	1.0

2.0	29.6	24.7	21.2	18.6	16.5	14.8
2.8	41.2	34.4	29.6	25.9	23.0	20.7
4.0	57.0	48.1	41.5	36.5	32.6	29.4
5.6	72.5	62.6	55.0	48.9	44.0	40.0
6.3	76.5	67.1	59.5	53.3	48.2	44.0
6.8	78.5	69.5	62.1	56.0	50.9	46.5
8.0	80.3	72.7	66.2	60.6	55.7	51.5
11.0	75.3	71.0	67.0	63.3	59.9	56.7
16.0	60.8	59.1	57.4	55.8	54.2	52.7
22.0	47.4	46.7	46.0	45.3	44.6	43.9

	Values of a in lines/mm for d_c=

b	1.1	1.2	1.3	1.4	1.5
2.0	13.5	12.4	11.4	10.6	9.9
2.8	18.9	17.3	16.0	14.8	13.9
4.0	26.8	24.6	22.7	21.1	19.7
5.6	36.6	33.7	31.2	29.1	27.2
6.3	40.4	37.3	34.7	32.3	30.3
6.8	42.9	39.7	36.9	34.5	32.4
8.0	47.8	44.6	41.7	39.2	36.9
11.0	53.8	51.2	48.7	46.4	44.3
16.0	51.2	49.8	48.4	47.1	45.8
22.0	43.2	42.5	41.9	41.3	40.6

Abstract

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Tables (2)

Equations (10)

Journal of the Optical Society of America