Mapping speed for an array of corrugated horns

Stephen Padin

doi:10.1364/AO.49.000479

Applied Optics
Vol. 49,
Issue 3,
pp. 479-483
(2010)
•https://doi.org/10.1364/AO.49.000479

Mapping speed for an array of corrugated horns

Stephen Padin

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Stephen Padin, "Mapping speed for an array of corrugated horns," Appl. Opt. 49, 479-483 (2010)

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Abstract

I address the choice of horn diameter for millimeter-wave array receivers with corrugated horns. For maximum point-source mapping speed, in both total power and polarization with typical receiver noise contributions and a close-packed horn array that fills the field of view, the optimum horn diameter is $1.6 - 1.7 F λ$ , where F is the focal ratio. A $\pm 25 %$ change in horn diameter gives $< 10 %$ degradation in mapping speed. Correlated noise from the cold stop, atmosphere, and cosmic microwave background has little effect on the mapping speed and optimum horn diameter.

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Noise Source	T (K)	ϵ	${NEP}_{P} ({W Hz}^{- 1 / 2})$	${NEP}_{B} ({W Hz}^{- 1 / 2})$	$\frac{{NEP}_{P}}{{NEP}_{B}}$
CMB	3	1	$1.1 \times 10^{- 17}$	$3.5 \times 10^{- 18}$	3.14
$Atmosphere + telescope$	300	0.03	$3.9 \times 10^{- 17}$	$4.3 \times 10^{- 17}$	0.90
Cold stop	8	1	$2.9 \times 10^{- 17}$	$2.4 \times 10^{- 17}$	1.21
Detector			$10^{- 17}$

Wall Thickness	F	Camera^b	Polarimeter^c
0	–	1.388	1.464
$λ / 4$	$4 / 3$	1.572	1.636
$3 λ / 8$	$4 / 3$	1.632	1.692
$λ / 2$	$4 / 3$	1.680	1.736
$λ / 4$	2	1.524	1.592
$3 λ / 8$	2	1.572	1.636
$λ / 2$	2	1.616	1.676

Noise Source	T (K)	ϵ	${NEP}_{P} ({W Hz}^{- 1 / 2})$	${NEP}_{B} ({W Hz}^{- 1 / 2})$	$\frac{{NEP}_{P}}{{NEP}_{B}}$
CMB	3	1	$1.1 \times 10^{- 17}$	$3.5 \times 10^{- 18}$	3.14
$Atmosphere + telescope$	300	0.03	$3.9 \times 10^{- 17}$	$4.3 \times 10^{- 17}$	0.90
Cold stop	8	1	$2.9 \times 10^{- 17}$	$2.4 \times 10^{- 17}$	1.21
Detector			$10^{- 17}$

Wall Thickness	F	Camera^b	Polarimeter^c
0	–	1.388	1.464
$λ / 4$	$4 / 3$	1.572	1.636
$3 λ / 8$	$4 / 3$	1.632	1.692
$λ / 2$	$4 / 3$	1.680	1.736
$λ / 4$	2	1.524	1.592
$3 λ / 8$	2	1.572	1.636
$λ / 2$	2	1.616	1.676

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Applied Optics