Development of image mappers for hyperspectral biomedical imaging applications

Robert T. Kester; Liang Gao; Tomasz S. Tkaczyk

doi:10.1364/AO.49.001886

Development of image mappers for hyperspectral biomedical imaging applications

Robert T. Kester, Liang Gao, and Tomasz S. Tkaczyk

Applied Optics
Vol. 49,
Issue 10,
pp. 1886-1899
(2010)
•https://doi.org/10.1364/AO.49.001886

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Robert T. Kester, Liang Gao, and Tomasz S. Tkaczyk, "Development of image mappers for hyperspectral biomedical imaging applications," Appl. Opt. 49, 1886-1899 (2010)

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Abstract

A new design and fabrication method is presented for creating large-format ( $> 100$ mirror facets) image mappers for a snapshot hyperspectral biomedical imaging system called an image mapping spectrometer (IMS). To verify this approach a 250 facet image mapper with 25 multiple-tilt angles is designed for a compact IMS that groups the 25 subpupils in a $5 \times 5$ matrix residing within a single collecting objective’s pupil. The image mapper is fabricated by precision diamond raster fly cutting using surface-shaped tools. The individual mirror facets have minimal edge eating, tilt errors of $< 1 mrad$ , and an average roughness of $5.4 nm$ .

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Parameter	Value
Length, l	$20 mm$
Width, w	$20 mm$
Mirror facet width, b	$75 μm$
No. of x-tilt angles, $L_{x}$	5
No. of y-tilt angles, $L_{y}$	5
x-tilt magnitude, $α_{j}$	$0.02 rad$
y-tilt magnitude, $β_{k}$	$0.04 rad$
${NA}_{mapper}$	0.004
${NA}_{COLLECT}$	0.150
Material	Kobe Al

Parameter	Tool 1	Tool 2	Tool 3
Included angle, θ, (deg)	$20 \pm 0.5$	$20 \pm 0.5$	$5 \pm 0.5$
Side clearance angle, α (deg)	3	3	3
Tip clearance angle, ϕ (deg)	6	5	5
Top rake angle, β (deg)	0	0	0
Tool tip width ( $μm$ )	$150 \pm 15$	$70 \pm 7$	$70 \pm 7$
Max. depth of cut ( $μm$ )	500	300	300
Edge quality	$750 \times$	$750 \times$	$750 \times$
Material (diamond)	Synthetic	Synthetic	Synthetic

Parameter	Rough Cut	Final Cut
Feed rate ( $mm / \min$ )	30	30
Depth of cut ( $μm$ )	40	5
Spindle speed ( $rev / \min$ )	2800	2800
No. of passes	11	1

			Measured		Error
x Tilt (α)	y Tilt (β)	Ideal (rad)	(α)	(β)	(α)	(β)
$α_{1}$	$β_{1}$	$+ 0.020$	$+ 0.020$	$+ 0.020$	0	0
$α_{2}$	$β_{2}$	$+ 0.010$	$+ 0.098$	$+ 0.010$	$- 0.002$	0
$α_{3}$	$β_{3}$	0	—	—	—	—
$α_{4}$	$β_{4}$	$- 0.010$	$- 0.010$	$- 0.010$	0	0
$α_{5}$	$β_{5}$	$- 0.020$	$- 0.021$	$- 0.020$	$+ 0.001$	0

Parameter	Value
Length, l	$20 mm$
Width, w	$20 mm$
Mirror facet width, b	$75 μm$
No. of x-tilt angles, $L_{x}$	5
No. of y-tilt angles, $L_{y}$	5
x-tilt magnitude, $α_{j}$	$0.02 rad$
y-tilt magnitude, $β_{k}$	$0.04 rad$
${NA}_{mapper}$	0.004
${NA}_{COLLECT}$	0.150
Material	Kobe Al

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