Astigmatism in Light-Deflector Elements

M. A. Habegger

doi:10.1364/JOSA.60.000326

Journal of the Optical Society of America
Vol. 60,
Issue 3,
pp. 326-331
(1970)
•https://doi.org/10.1364/JOSA.60.000326

Astigmatism in Light-Deflector Elements

M. A. Habegger

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M. A. Habegger, "Astigmatism in Light-Deflector Elements," J. Opt. Soc. Am. 60, 326-331 (1970)

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Abstract

Astigmatism introduced in a convergent light beam by isotropic parallel plates and prisms, birefringent parallel plates including fractional-wave plates and split-angle deflectors, and by Wollaston prisms is studied. Expressions for the astigmatic differences are obtained. The results are experimentally verified. This study is related to the influence on image quality of light deflectors.

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		Position of sagittal focal line (mm)		Position of tangential focal line (mm)		Astigmatic difference (mm)

		Meas.	Calc.	Meas.	Calc.	Meas.	Calc.
Isotropic plate
BK-7 glass	θ = 40°	4.30	4.31	6.67	6.93	2.37	2.62
t = 12.7 mm	θ = 60°	4.00	3.81	10.20	10.2	6.20	6.40
n_p = 1.52	θ = 75°	2.55	2.56	12.15	12.2	9.60	9.64
Birefringent plate	γ = 90°
Calcite	t = 3.15 mm	0.91	1.03	1.37	1.46	0.46	0.43
Split-angle deflection pieces
Calcite	t = 27 mm	7.91	8.10	10.20	10.6	2.3	2.5
γ = 51.27°	t = 54 mm					4.9	5.1
Wollaston prism
Calcite	Δ = 28°
t = 13.6 mm
for S < 1 cm	beam a	5.20	4.95	6.30	6.15	1.10	1.20
for S < 1 cm	beam b	6.50	5.86	4.80	4.66	1.70	1.20
for S = 15 cm	beam a	5.60	4.95	16.60	16.65	11.00	11.70
for S = 15 cm	beam b	6.40	5.86	−3.80	−4.34	10.20	10.20

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Journal of the Optical Society of America