2008
DOI: 10.1117/12.790500
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Modeling the quasi-optical performance of CMB astronomical interferometers

Abstract: The Millimeter-Wave Bolometric Interferometer (MBI) is a ground-based instrument designed to measure the polarization anisotropies of the Cosmic Microwave Background (CMB) and contains a number of quasi-optical components, including a complex back-to-back system of corrugated feed-horn antennas. In this paper we use MBI as an example to demonstrate the existing modeling techniques and as a focus to develop extended modeling capabilities. The software we use to model this system targets the millimeter and sub-m… Show more

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Cited by 2 publications
(2 citation statements)
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“…Problems can arise, however, due to the non-orthogonality of modes (for modes over a curved surface, or inadequately sampled modes, say). Curran et al 7 describe how the robustness of the approach can be improved by using a truncated SVD decomposition of the matrix that is constructed from the potential mode set, sampled at a discrete number of points. SVD decomposes an m×n matrix S into the product of an m×n column-orthogonal matrix U, an n×n diagonal matrix W (whose elements w i are ≥0 and termed the singular values) and the transpose of an n×n orthogonal matrix V; S = UWV T .…”
Section: Basis Mode Setsmentioning
confidence: 99%
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“…Problems can arise, however, due to the non-orthogonality of modes (for modes over a curved surface, or inadequately sampled modes, say). Curran et al 7 describe how the robustness of the approach can be improved by using a truncated SVD decomposition of the matrix that is constructed from the potential mode set, sampled at a discrete number of points. SVD decomposes an m×n matrix S into the product of an m×n column-orthogonal matrix U, an n×n diagonal matrix W (whose elements w i are ≥0 and termed the singular values) and the transpose of an n×n orthogonal matrix V; S = UWV T .…”
Section: Basis Mode Setsmentioning
confidence: 99%
“…24 However cases do arise, for example if a waveguide structure is embedded in a free space quasi-optical system, where the number of independent modes that can propagate through the system is much smaller than the number of modes that need to be considered at its input. 7 The most efficient way of modelling the system is to determine the combinations of input modes that give rise to non-zero output mode combinations, as only these few combinations then need to be coupled with the incident field. Singularvalue decomposition of the waveguide scattering matrix can be used to find those effective modes at its input and output ports, as well as their attenuation as they propagate through the structure.…”
Section: Basis Mode Setsmentioning
confidence: 99%