Broadband astigmatism-free Offner imaging spectrometer with high resolution

Jing Lin; Su Wu; Lei Yu

doi:10.1364/AO.381834

Applied Optics
Vol. 59,
Issue 4,
pp. 1110-1116
(2020)
•https://doi.org/10.1364/AO.381834

Broadband astigmatism-free Offner imaging spectrometer with high resolution

Jing Lin, Su Wu, and Lei Yu

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Jing Lin, Su Wu, and Lei Yu, "Broadband astigmatism-free Offner imaging spectrometer with high resolution," Appl. Opt. 59, 1110-1116 (2020)

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Abstract

An advanced optical design has been proposed for an astigmatism-free Offner imaging spectrometer with high resolution in the broadband spectrum. The anastigmatic theory is thoroughly analyzed. Astigmatism is corrected by two pairs of lens-mirror combinations. On the basis of the concentric structure, the lens is used to make the meridional image distance equal to sagittal image distance. An example of the design has been presented with f-number of 3 working in 400–1000 nm according to the optimized theory. By the ray-tracing results, the spectral sampling is 0.6nm/pixel, and the RMS spots radii in all fields of view are less than 5 µm. The spectral keystone distortion and smile distortion are less than 0.1%. The prototype is manufactured based on theory and tolerance analysis. The achieved prototype has advantages of high spectral resolution (3 nm) and compact configuration.

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Parameters	Value
Spectral range (nm)	400–1000
$R_{1} (m m)$	220
$R_{2} (m m)$	230
$R_{3} (m m)$	100
$R_{4} (m m)$	174
$R_{5} (m m)$	190
$g (l / m m)$	200

Surface Tolerance	Value
Radius	$\pm 0.02 m m$
Decenter in $X$	$\pm 0.02 m m$
Decenter in $Y$	$\pm 0.02 m m$
Tilt in $X$	$\pm {0.04}^{\circ}$
Tilt in $Y$	$\pm {0.04}^{\circ}$
Surface tolerance	Value
Decenter in $X$	$\pm 0.02 m m$
Decenter in $Y$	$\pm 0.02 m m$
Tilt in $X$	$\pm {0.04}^{\circ}$
Tilt in $Y$	$\pm {0.04}^{\circ}$
Index tolerances	Value
Index	0.001
Abbe	1%

Offenders	Decrease of MTF
TABB (tolerance on the Abbe or Vd number) of the primary lens	0.0036
TRAD (tolerance of the default radius) of the back surface of the secondary lens	0.0352
TTHI (tolerance of the thickness) between the grating and the secondary lens	0.0236
TETX (tolerance on the element tilt about the $x$ axis) of the primary lens	0.0326
TETY (tolerance on the surface tilt about the $y$ axis) of the grating	0.0109
TETX (tolerance on the surface tilt about the $x$ axis) of the secondary lens	0.0492
TSTX (tolerance on the surface tilt about the $x$ axis) of the back surface of the secondary lens	0.0502

Parameters	Value
Spectral range (nm)	400–1000
$R_{1} (m m)$	220
$R_{2} (m m)$	230
$R_{3} (m m)$	100
$R_{4} (m m)$	174
$R_{5} (m m)$	190
$g (l / m m)$	200

Surface Tolerance	Value
Radius	$\pm 0.02 m m$
Decenter in $X$	$\pm 0.02 m m$
Decenter in $Y$	$\pm 0.02 m m$
Tilt in $X$	$\pm {0.04}^{\circ}$
Tilt in $Y$	$\pm {0.04}^{\circ}$
Surface tolerance	Value
Decenter in $X$	$\pm 0.02 m m$
Decenter in $Y$	$\pm 0.02 m m$
Tilt in $X$	$\pm {0.04}^{\circ}$
Tilt in $Y$	$\pm {0.04}^{\circ}$
Index tolerances	Value
Index	0.001
Abbe	1%

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Equations (13)

Applied Optics