Wide aperture optical correlator–spectrum analyzer: evaluation of a new design

R. E. Williams; K. von Bieren; M. Morales

doi:10.1364/AO.14.002944

Applied Optics
Vol. 14,
Issue 12,
pp. 2944-2954
(1975)
•https://doi.org/10.1364/AO.14.002944

Wide aperture optical correlator–spectrum analyzer: evaluation of a new design

R. E. Williams, K. von Bieren, and M. Morales

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R. E. Williams, K. von Bieren, and M. Morales, "Wide aperture optical correlator–spectrum analyzer: evaluation of a new design," Appl. Opt. 14, 2944-2954 (1975)

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Abstract

A wide-aperture optical correlator-spectrum analyzer has been developed that achieves its full theoretical maximum processing gain of 36 dB. This 4000-channel system is coherent across the 100-mm-diam aperture with 100-lines/mm resolution at the center. The system noise is not perceptible, and the time-bandwidth product is 9000. Performance tests are described and evaluated for aperture coherence, Fourier transform accuracy and resolution, and processing gain.

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Equations (17)

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n	Main lobe widt	Measured lobe position

		Measured	Computed using	Error
		Measured	f = 1750.77 mm	Error
5	22 μm	98.882 mm	98.879 mm	+ 3 μm
4	23 μm	86.988 mm	88.987 mm	+ 1 μm
3	23 μm	79.093 mm	79.095 mm	−2 μm
2	23 μm	69.202 mm	69.203 mm	−1 μm
1	23 μm	59.308 mm	59.311 mm	−3 μm
0	23 μm	49.420 mm	49.420 mm	0 μm
−1	23 μm	39.530 mm	39.528 mm	+ 2 μm
−2	23 μm	29.640 mm	29.636 mm	+ 4 μm
−3	23 μm	19.746 mm	19.744 mm	+ 2 μm
−4	23 μm	9.852 mm	9.852 mm	0 μm
−5	23 μm	−0.037 mm	−0.039 mm	+ 2 μm

n	Main lobe width	Main lobe position

		Measured	Computed using	Error
		Measured	f = 1750.77 mm	Error
5	23 μm	98.953 mm	98.941 mm	+12 μm
4	23 μm	89.058 mm	89.049 mm	+9 μm
3	23 μm	79.165 mm	79.157 mm	+8 μm
2	23 μm	69.270 mm	69.265 mm	+5 μm
1	23 μm	59.380 mm	59.373 mm	+7 μm
0	23 μm	49.482 mm	49.482 mm	0 μm
−1	23 μm	39.593 mm	39.590 mm	+3 μm
−2	23 μm	29.700 mm	29.698 mm	+2 μm
−3	23 μm	19.809 mm	19.806 mm	+3 μm
−4	23 μm	9.918 mm	9.914 mm	+4 μm
−5	23 μm	0.028 mm	0.022 mm	+6 μm

n	Main lobe widt	Measured lobe position

		Measured	Computed using	Error
		Measured	f = 1750.77 mm	Error
5	22 μm	98.882 mm	98.879 mm	+ 3 μm
4	23 μm	86.988 mm	88.987 mm	+ 1 μm
3	23 μm	79.093 mm	79.095 mm	−2 μm
2	23 μm	69.202 mm	69.203 mm	−1 μm
1	23 μm	59.308 mm	59.311 mm	−3 μm
0	23 μm	49.420 mm	49.420 mm	0 μm
−1	23 μm	39.530 mm	39.528 mm	+ 2 μm
−2	23 μm	29.640 mm	29.636 mm	+ 4 μm
−3	23 μm	19.746 mm	19.744 mm	+ 2 μm
−4	23 μm	9.852 mm	9.852 mm	0 μm
−5	23 μm	−0.037 mm	−0.039 mm	+ 2 μm

n	Main lobe width	Main lobe position

		Measured	Computed using	Error
		Measured	f = 1750.77 mm	Error
5	23 μm	98.953 mm	98.941 mm	+12 μm
4	23 μm	89.058 mm	89.049 mm	+9 μm
3	23 μm	79.165 mm	79.157 mm	+8 μm
2	23 μm	69.270 mm	69.265 mm	+5 μm
1	23 μm	59.380 mm	59.373 mm	+7 μm
0	23 μm	49.482 mm	49.482 mm	0 μm
−1	23 μm	39.593 mm	39.590 mm	+3 μm
−2	23 μm	29.700 mm	29.698 mm	+2 μm
−3	23 μm	19.809 mm	19.806 mm	+3 μm
−4	23 μm	9.918 mm	9.914 mm	+4 μm
−5	23 μm	0.028 mm	0.022 mm	+6 μm

Abstract

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Figures (13)

Tables (2)

Equations (17)

Applied Optics