Properties of the White-Welsh Mirror System

F. Stenman

doi:10.1364/AO.11.001178

Applied Optics
Vol. 11,
Issue 5,
pp. 1178-1183
(1972)
•https://doi.org/10.1364/AO.11.001178

Properties of the White-Welsh Mirror System

F. Stenman

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F. Stenman, "Properties of the White-Welsh Mirror System," Appl. Opt. 11, 1178-1183 (1972)

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Abstract

The imaging properties of the four-mirror system of White and Welsh are investigated in the paraxial approximation. Expressions are derived for the total light flux reaching the exit slit from any point within the system. These expressions are used to obtain the flux from three different types of line sources symmetrically situated within the system. Finally, the performance of the system as used with a specific condensing system and spectrograph is evaluated.

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Region	α_iυ = β_iυ
1	0
2	2σ/(l − x)
3	[2σ/(l − x)] − {[(z − r)l/x(l − x)] + [(r + σ)/(l − x)]}
4	2r/x

Region		T (forward)	T (backward)
1	}	1 − p	1 − p
2	}	1 − p	[1 − p^(1−ξ)/ξp^η^/ξ]
3	}	(p^(ξ−1/ξ) − 1)p^η^/ξ	0
4			p^η^/ξ − 1
5			[1 − p^(1−ξ)/ξ]p^η^/ξ
6	}	1 − p^η^/ξ	1 − 2p + p^η^/ξ
7			1 − p + p^η^/ξ − p^(1−ξ)/ξp^η^/ξ
8			1 + [1 − p^(1−ξ)/ξ]p^η^/ξ − p^(1−ξ)/ξp^η^/ξ

Region	α_iυ = β_iυ
1	0
2	2σ/(l − x)
3	[2σ/(l − x)] − {[(z − r)l/x(l − x)] + [(r + σ)/(l − x)]}
4	2r/x

Region		T (forward)	T (backward)
1	}	1 − p	1 − p
2	}	1 − p	[1 − p^(1−ξ)/ξp^η^/ξ]
3	}	(p^(ξ−1/ξ) − 1)p^η^/ξ	0
4			p^η^/ξ − 1
5			[1 − p^(1−ξ)/ξ]p^η^/ξ
6	}	1 − p^η^/ξ	1 − 2p + p^η^/ξ
7			1 − p + p^η^/ξ − p^(1−ξ)/ξp^η^/ξ
8			1 + [1 − p^(1−ξ)/ξ]p^η^/ξ − p^(1−ξ)/ξp^η^/ξ

Abstract

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Equations (25)

Applied Optics