Abstract

An important class of detectors for the submillimeter and far-infrared uses a multimode horn to couple incident radiation into an absorbing film made from a thin conductor. We consider how to model the full, partially coherent, optical behavior of these multimode detectors using extensions of mode-matching techniques. We validate modeling the absorber as a resistive sheet, and demonstrate the equivalence of mode-matching and Green’s function methods for calculating the scattering matrix representation of the film. Finally, we show how the scattering matrix of the film can be cascaded with those of the other components, as determined by mode matching, so as to calculate the overall optical response of the detector. Simulations are presented of the optical behavior of a square absorbing film in a circular waveguide.

© 2013 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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2012 (2)

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

J. A. Murphy, S. Doherty, N. Trappe, C. Bracken, T. Peacocke, and C. O’Sullivan, “New developments in waveguide mode-matching techniques for far-infrared astronomy,” Proc. SPIE 8261, 82610F (2012).
[CrossRef]

2010 (4)

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

A. Kogut, D. T. Chuss, J. Dotson, D. J. Fixsen, M. Halpern, G. F. Hinshaw, S. Meyer, S. H. Moseley, M. D. Seiffert, D. N. Spergel, and E. J. Wollack, “The primordial inflation explorer (PIXIE),” Proc. SPIE 8146, 81460T (2010).
[CrossRef]

C. Thomas, S. Withington, D. Chuss, E. Wollack, and S. Moseley, “Modeling the intensity and polarization response of planar bolometric detectors,” J. Opt. Soc. Am. A 27, 1219–1231 (2010).
[CrossRef]

S. Withington and C. Thomas, “Analysis of far-infrared horns, lightpipes, and cavities containing patterned conductive films,” J. Opt. Soc. Am. A 27, 2354–2364 (2010).
[CrossRef]

2009 (1)

S. Withington and C. Thomas, “Optical theory of partially coherent thin-film energy-absorbing structures for power detectors and imaging arrays,” J. Opt. Soc. Am. 26, 1382–1392 (2009).
[CrossRef]

2008 (1)

J. D. Owens, M. Houston, D. Luebke, S. Green, J. E. Stone, and J. C. Phillips, “GPU computing,” Proc. IEEE 96, 879–899 (2008).
[CrossRef]

2007 (2)

S. Withington and G. Saklatvala, “Characterizing the behaviour of partially coherent detectors through spatio-temporal modes,” J. Opt. A 9, 626–633 (2007).
[CrossRef]

G. Saklatvala, S. Withington, and M. Hobson, “Coupled-mode theory for infrared and submillimeter wave detectors,” J. Opt. Soc. Am. A 24, 764–775 (2007).
[CrossRef]

2006 (1)

V. Yurchenko and E. Yurchenko, “Reciprocity in simulations of bolometric detectors in transmitting mode,” Int. J. Infrared Millim. Waves 27, 355–371 (2006).
[CrossRef]

1991 (2)

J. Murphy and R. Padman, “Radiation patterns of few-moded horns and condensing lightpipes,” Infrared Phys. 31, 291–299 (1991).
[CrossRef]

R. Padman and J. Murphy, “Radiation patterns of scalar lightpipes,” Infrared Phys. 31, 441–446 (1991).
[CrossRef]

1965 (1)

K. Kurokawa, “Power waves and the scattering matrix,” IEEE Trans. Microwave Theor. Tech. 13, 194–202 (1965).
[CrossRef]

1964 (1)

H. Haskal, “Matrix description of waveguide discontinuities in the presence of evanescent modes,” IEEE Trans. Microwave Theor. Tech. 12, 184–188 (1964).
[CrossRef]

1942 (1)

H. A. Wheeler, “Formulas for the skin effect,” Proc. IRE 30, 412–424 (1942).
[CrossRef]

Ade, P.

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

Beyer, J.

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

Bracken, C.

J. A. Murphy, S. Doherty, N. Trappe, C. Bracken, T. Peacocke, and C. O’Sullivan, “New developments in waveguide mode-matching techniques for far-infrared astronomy,” Proc. SPIE 8261, 82610F (2012).
[CrossRef]

Brossard, J.

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

Bruijn, M.

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

Chuss, D.

Chuss, D. T.

A. Kogut, D. T. Chuss, J. Dotson, D. J. Fixsen, M. Halpern, G. F. Hinshaw, S. Meyer, S. H. Moseley, M. D. Seiffert, D. N. Spergel, and E. J. Wollack, “The primordial inflation explorer (PIXIE),” Proc. SPIE 8146, 81460T (2010).
[CrossRef]

Colgan, R.

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

Cros, A.

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

de Korte, P.

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

de Lange, G.

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

den Hartog, R.

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

Doherty, S.

J. A. Murphy, S. Doherty, N. Trappe, C. Bracken, T. Peacocke, and C. O’Sullivan, “New developments in waveguide mode-matching techniques for far-infrared astronomy,” Proc. SPIE 8261, 82610F (2012).
[CrossRef]

Dotson, J.

A. Kogut, D. T. Chuss, J. Dotson, D. J. Fixsen, M. Halpern, G. F. Hinshaw, S. Meyer, S. H. Moseley, M. D. Seiffert, D. N. Spergel, and E. J. Wollack, “The primordial inflation explorer (PIXIE),” Proc. SPIE 8146, 81460T (2010).
[CrossRef]

Fixsen, D. J.

A. Kogut, D. T. Chuss, J. Dotson, D. J. Fixsen, M. Halpern, G. F. Hinshaw, S. Meyer, S. H. Moseley, M. D. Seiffert, D. N. Spergel, and E. J. Wollack, “The primordial inflation explorer (PIXIE),” Proc. SPIE 8146, 81460T (2010).
[CrossRef]

Gao, J.

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

Gleeson, E.

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

Green, S.

J. D. Owens, M. Houston, D. Luebke, S. Green, J. E. Stone, and J. C. Phillips, “GPU computing,” Proc. IEEE 96, 879–899 (2008).
[CrossRef]

Griffin, D.

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

Halpern, M.

A. Kogut, D. T. Chuss, J. Dotson, D. J. Fixsen, M. Halpern, G. F. Hinshaw, S. Meyer, S. H. Moseley, M. D. Seiffert, D. N. Spergel, and E. J. Wollack, “The primordial inflation explorer (PIXIE),” Proc. SPIE 8146, 81460T (2010).
[CrossRef]

Haskal, H.

H. Haskal, “Matrix description of waveguide discontinuities in the presence of evanescent modes,” IEEE Trans. Microwave Theor. Tech. 12, 184–188 (1964).
[CrossRef]

Hinshaw, G. F.

A. Kogut, D. T. Chuss, J. Dotson, D. J. Fixsen, M. Halpern, G. F. Hinshaw, S. Meyer, S. H. Moseley, M. D. Seiffert, D. N. Spergel, and E. J. Wollack, “The primordial inflation explorer (PIXIE),” Proc. SPIE 8146, 81460T (2010).
[CrossRef]

Hobson, M.

Houston, M.

J. D. Owens, M. Houston, D. Luebke, S. Green, J. E. Stone, and J. C. Phillips, “GPU computing,” Proc. IEEE 96, 879–899 (2008).
[CrossRef]

Jackson, B.

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

Jackson, J.

J. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, 1998).

Kiviranta, M.

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

Kogut, A.

A. Kogut, D. T. Chuss, J. Dotson, D. J. Fixsen, M. Halpern, G. F. Hinshaw, S. Meyer, S. H. Moseley, M. D. Seiffert, D. N. Spergel, and E. J. Wollack, “The primordial inflation explorer (PIXIE),” Proc. SPIE 8146, 81460T (2010).
[CrossRef]

Kurokawa, K.

K. Kurokawa, “Power waves and the scattering matrix,” IEEE Trans. Microwave Theor. Tech. 13, 194–202 (1965).
[CrossRef]

Lamarre, J-M

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

Lange, A. E.

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

Longval, Y.

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

Luebke, D.

J. D. Owens, M. Houston, D. Luebke, S. Green, J. E. Stone, and J. C. Phillips, “GPU computing,” Proc. IEEE 96, 879–899 (2008).
[CrossRef]

Macculi, C.

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

Maffei, B.

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

Mauskopf, P.

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

McAuley, I.

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

Meyer, S.

A. Kogut, D. T. Chuss, J. Dotson, D. J. Fixsen, M. Halpern, G. F. Hinshaw, S. Meyer, S. H. Moseley, M. D. Seiffert, D. N. Spergel, and E. J. Wollack, “The primordial inflation explorer (PIXIE),” Proc. SPIE 8146, 81460T (2010).
[CrossRef]

Moseley, S.

Moseley, S. H.

A. Kogut, D. T. Chuss, J. Dotson, D. J. Fixsen, M. Halpern, G. F. Hinshaw, S. Meyer, S. H. Moseley, M. D. Seiffert, D. N. Spergel, and E. J. Wollack, “The primordial inflation explorer (PIXIE),” Proc. SPIE 8146, 81460T (2010).
[CrossRef]

Murphy, J.

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

J. Murphy and R. Padman, “Radiation patterns of few-moded horns and condensing lightpipes,” Infrared Phys. 31, 291–299 (1991).
[CrossRef]

R. Padman and J. Murphy, “Radiation patterns of scalar lightpipes,” Infrared Phys. 31, 441–446 (1991).
[CrossRef]

Murphy, J. A.

J. A. Murphy, S. Doherty, N. Trappe, C. Bracken, T. Peacocke, and C. O’Sullivan, “New developments in waveguide mode-matching techniques for far-infrared astronomy,” Proc. SPIE 8261, 82610F (2012).
[CrossRef]

Noviello, F.

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

O’Sullivan, C.

J. A. Murphy, S. Doherty, N. Trappe, C. Bracken, T. Peacocke, and C. O’Sullivan, “New developments in waveguide mode-matching techniques for far-infrared astronomy,” Proc. SPIE 8261, 82610F (2012).
[CrossRef]

Olver, A.

A. Olver, Microwave Horns and Feeds (IEE and IEEE, 1994).

Owens, J. D.

J. D. Owens, M. Houston, D. Luebke, S. Green, J. E. Stone, and J. C. Phillips, “GPU computing,” Proc. IEEE 96, 879–899 (2008).
[CrossRef]

Padman, R.

R. Padman and J. Murphy, “Radiation patterns of scalar lightpipes,” Infrared Phys. 31, 441–446 (1991).
[CrossRef]

J. Murphy and R. Padman, “Radiation patterns of few-moded horns and condensing lightpipes,” Infrared Phys. 31, 291–299 (1991).
[CrossRef]

Peacocke, T.

J. A. Murphy, S. Doherty, N. Trappe, C. Bracken, T. Peacocke, and C. O’Sullivan, “New developments in waveguide mode-matching techniques for far-infrared astronomy,” Proc. SPIE 8261, 82610F (2012).
[CrossRef]

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

Phillips, J. C.

J. D. Owens, M. Houston, D. Luebke, S. Green, J. E. Stone, and J. C. Phillips, “GPU computing,” Proc. IEEE 96, 879–899 (2008).
[CrossRef]

Pisano, G.

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

Puget, J-L

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

Ravera, L.

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

Ristorcelli, I.

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

Saklatvala, G.

G. Saklatvala, S. Withington, and M. Hobson, “Coupled-mode theory for infrared and submillimeter wave detectors,” J. Opt. Soc. Am. A 24, 764–775 (2007).
[CrossRef]

S. Withington and G. Saklatvala, “Characterizing the behaviour of partially coherent detectors through spatio-temporal modes,” J. Opt. A 9, 626–633 (2007).
[CrossRef]

Savini, G.

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

Seiffert, M. D.

A. Kogut, D. T. Chuss, J. Dotson, D. J. Fixsen, M. Halpern, G. F. Hinshaw, S. Meyer, S. H. Moseley, M. D. Seiffert, D. N. Spergel, and E. J. Wollack, “The primordial inflation explorer (PIXIE),” Proc. SPIE 8146, 81460T (2010).
[CrossRef]

Senior, T. B. A.

T. B. A. Senior and J. L. Volakis, Approximate Boundary Conditions in Electromagnetics, Vol. 41 of IEE Electromagnetic Wave Series (IEE, 1995).

Spergel, D. N.

A. Kogut, D. T. Chuss, J. Dotson, D. J. Fixsen, M. Halpern, G. F. Hinshaw, S. Meyer, S. H. Moseley, M. D. Seiffert, D. N. Spergel, and E. J. Wollack, “The primordial inflation explorer (PIXIE),” Proc. SPIE 8146, 81460T (2010).
[CrossRef]

Stone, J. E.

J. D. Owens, M. Houston, D. Luebke, S. Green, J. E. Stone, and J. C. Phillips, “GPU computing,” Proc. IEEE 96, 879–899 (2008).
[CrossRef]

Stratton, J. A.

J. A. Stratton, Electromagnetic Theory (McGraw-Hill, 1941).

Sudiwala, R.

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

Tai, C.

C. Tai, Dyadic Green Functions in Electromagnetic Theory (IEEE, 1994).

Thomas, C.

S. Withington and C. Thomas, “Analysis of far-infrared horns, lightpipes, and cavities containing patterned conductive films,” J. Opt. Soc. Am. A 27, 2354–2364 (2010).
[CrossRef]

C. Thomas, S. Withington, D. Chuss, E. Wollack, and S. Moseley, “Modeling the intensity and polarization response of planar bolometric detectors,” J. Opt. Soc. Am. A 27, 1219–1231 (2010).
[CrossRef]

S. Withington and C. Thomas, “Optical theory of partially coherent thin-film energy-absorbing structures for power detectors and imaging arrays,” J. Opt. Soc. Am. 26, 1382–1392 (2009).
[CrossRef]

C. Thomas, “Theoretical, numerical and experimental studies of the optical behaviour of few-mode power detectors for submillimetre and far-infrared astronomy,” Ph.D. thesis (University of Cambridge, 2011).

Trappe, N.

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

J. A. Murphy, S. Doherty, N. Trappe, C. Bracken, T. Peacocke, and C. O’Sullivan, “New developments in waveguide mode-matching techniques for far-infrared astronomy,” Proc. SPIE 8261, 82610F (2012).
[CrossRef]

van der Kuur, J.

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

van Leeuwen, B.

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

van Weers, H.

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

Volakis, J. L.

T. B. A. Senior and J. L. Volakis, Approximate Boundary Conditions in Electromagnetics, Vol. 41 of IEE Electromagnetic Wave Series (IEE, 1995).

Wheeler, H. A.

H. A. Wheeler, “Formulas for the skin effect,” Proc. IRE 30, 412–424 (1942).
[CrossRef]

Withington, S.

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

S. Withington and C. Thomas, “Analysis of far-infrared horns, lightpipes, and cavities containing patterned conductive films,” J. Opt. Soc. Am. A 27, 2354–2364 (2010).
[CrossRef]

C. Thomas, S. Withington, D. Chuss, E. Wollack, and S. Moseley, “Modeling the intensity and polarization response of planar bolometric detectors,” J. Opt. Soc. Am. A 27, 1219–1231 (2010).
[CrossRef]

S. Withington and C. Thomas, “Optical theory of partially coherent thin-film energy-absorbing structures for power detectors and imaging arrays,” J. Opt. Soc. Am. 26, 1382–1392 (2009).
[CrossRef]

S. Withington and G. Saklatvala, “Characterizing the behaviour of partially coherent detectors through spatio-temporal modes,” J. Opt. A 9, 626–633 (2007).
[CrossRef]

G. Saklatvala, S. Withington, and M. Hobson, “Coupled-mode theory for infrared and submillimeter wave detectors,” J. Opt. Soc. Am. A 24, 764–775 (2007).
[CrossRef]

Wollack, E.

Wollack, E. J.

A. Kogut, D. T. Chuss, J. Dotson, D. J. Fixsen, M. Halpern, G. F. Hinshaw, S. Meyer, S. H. Moseley, M. D. Seiffert, D. N. Spergel, and E. J. Wollack, “The primordial inflation explorer (PIXIE),” Proc. SPIE 8146, 81460T (2010).
[CrossRef]

Wylde, R. J.

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

Yurchenko, E.

V. Yurchenko and E. Yurchenko, “Reciprocity in simulations of bolometric detectors in transmitting mode,” Int. J. Infrared Millim. Waves 27, 355–371 (2006).
[CrossRef]

Yurchenko, V.

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

V. Yurchenko and E. Yurchenko, “Reciprocity in simulations of bolometric detectors in transmitting mode,” Int. J. Infrared Millim. Waves 27, 355–371 (2006).
[CrossRef]

IEEE Trans. Microwave Theor. Tech. (2)

K. Kurokawa, “Power waves and the scattering matrix,” IEEE Trans. Microwave Theor. Tech. 13, 194–202 (1965).
[CrossRef]

H. Haskal, “Matrix description of waveguide discontinuities in the presence of evanescent modes,” IEEE Trans. Microwave Theor. Tech. 12, 184–188 (1964).
[CrossRef]

IEEE Trans. Terahertz Sci. Technol. (1)

B. Jackson, P. de Korte, J. van der Kuur, P. Mauskopf, J. Beyer, M. Bruijn, A. Cros, J. Gao, D. Griffin, R. den Hartog, M. Kiviranta, G. de Lange, B. van Leeuwen, C. Macculi, L. Ravera, N. Trappe, H. van Weers, and S. Withington, “The SPICA-SAFARI detector system: TES detector arrays with frequency-division multiplexed SQUID readout,” IEEE Trans. Terahertz Sci. Technol. 2, 12–21 (2012).
[CrossRef]

Infrared Phys. (2)

J. Murphy and R. Padman, “Radiation patterns of few-moded horns and condensing lightpipes,” Infrared Phys. 31, 291–299 (1991).
[CrossRef]

R. Padman and J. Murphy, “Radiation patterns of scalar lightpipes,” Infrared Phys. 31, 441–446 (1991).
[CrossRef]

Int. J. Infrared Millim. Waves (1)

V. Yurchenko and E. Yurchenko, “Reciprocity in simulations of bolometric detectors in transmitting mode,” Int. J. Infrared Millim. Waves 27, 355–371 (2006).
[CrossRef]

J. Instrum. (1)

J. Murphy, T. Peacocke, B. Maffei, I. McAuley, F. Noviello, V. Yurchenko, P. Ade, G. Savini, J-M Lamarre, J. Brossard, R. Colgan, E. Gleeson, A. E. Lange, Y. Longval, G. Pisano, J-L Puget, I. Ristorcelli, R. Sudiwala, and R. J. Wylde, “Multi-mode horn design and beam characteristics for the Planck satellite,” J. Instrum. 5, T04001 (2010).
[CrossRef]

J. Opt. A (1)

S. Withington and G. Saklatvala, “Characterizing the behaviour of partially coherent detectors through spatio-temporal modes,” J. Opt. A 9, 626–633 (2007).
[CrossRef]

J. Opt. Soc. Am. (1)

S. Withington and C. Thomas, “Optical theory of partially coherent thin-film energy-absorbing structures for power detectors and imaging arrays,” J. Opt. Soc. Am. 26, 1382–1392 (2009).
[CrossRef]

J. Opt. Soc. Am. A (3)

Proc. IEEE (1)

J. D. Owens, M. Houston, D. Luebke, S. Green, J. E. Stone, and J. C. Phillips, “GPU computing,” Proc. IEEE 96, 879–899 (2008).
[CrossRef]

Proc. IRE (1)

H. A. Wheeler, “Formulas for the skin effect,” Proc. IRE 30, 412–424 (1942).
[CrossRef]

Proc. SPIE (2)

A. Kogut, D. T. Chuss, J. Dotson, D. J. Fixsen, M. Halpern, G. F. Hinshaw, S. Meyer, S. H. Moseley, M. D. Seiffert, D. N. Spergel, and E. J. Wollack, “The primordial inflation explorer (PIXIE),” Proc. SPIE 8146, 81460T (2010).
[CrossRef]

J. A. Murphy, S. Doherty, N. Trappe, C. Bracken, T. Peacocke, and C. O’Sullivan, “New developments in waveguide mode-matching techniques for far-infrared astronomy,” Proc. SPIE 8261, 82610F (2012).
[CrossRef]

Other (6)

J. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, 1998).

C. Thomas, “Theoretical, numerical and experimental studies of the optical behaviour of few-mode power detectors for submillimetre and far-infrared astronomy,” Ph.D. thesis (University of Cambridge, 2011).

T. B. A. Senior and J. L. Volakis, Approximate Boundary Conditions in Electromagnetics, Vol. 41 of IEE Electromagnetic Wave Series (IEE, 1995).

J. A. Stratton, Electromagnetic Theory (McGraw-Hill, 1941).

A. Olver, Microwave Horns and Feeds (IEE and IEEE, 1994).

C. Tai, Dyadic Green Functions in Electromagnetic Theory (IEEE, 1994).

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Figures (9)

Fig. 1.
Fig. 1.

Typical layout of a horn-coupled power detector used for submillimeter and far-infrared observations.

Fig. 2.
Fig. 2.

Signal flow diagram for a complete detector.

Fig. 3.
Fig. 3.

Diagram illustrating the impedance sheet model.

Fig. 4.
Fig. 4.

Calculating the currents induced in the film using plane wave analysis.

Fig. 5.
Fig. 5.

Impedance sheet mounted at a discontinuity in the cross section of a waveguide.

Fig. 6.
Fig. 6.

Mode matching as applied to modeling the feed and termination.

Fig. 7.
Fig. 7.

Stokes maps for a=4λ, p=0.25λ, and ZS=0.5Z0. Each map is normalized to the peak value of the Stokes I parameter. The black square shows the boundary of the absorber.

Fig. 8.
Fig. 8.

Stokes maps for a=4λ, p=λ, and ZS=0.5Z0. Each map is normalized to the peak value of the Stokes I parameter. The black square shows the boundary of the absorber.

Fig. 9.
Fig. 9.

Stokes maps for a=4λ, p=4λ, and ZS=0.5Z0. Each map is normalized to the peak value of the Stokes I parameter. The black square shows the boundary of the absorber, and the black circle the waveguide walls.

Equations (80)

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YS(r)E(r)=JS(r).
limΔz0[E(r,+Δz)E(r,Δz)]=0,
limΔz0[Ez(r,+Δz)Ez(r,Δz)]=12πiνϵ0T·JS(r),
limΔz0[H(r,+Δz)H(r,Δz)]=z^×JS(r),
limΔz0[Hz(r,+Δz)Hz(r,Δz)]=0,
YS=σd,
YS=|JT(r)dz||ET|,
YS(S)=iσkmmk00coskmmdikmmsinkmmdk00kmmcoskmmdik00sinkmmd,
YS(P)=iσkmmk0mcoskmmdikm0sinkmmdk0mkm0coskmmdik0msinkmmd,
kij=kicosθj,k0sinθ0=kmsinθm,km=k01+iσε0ω,
YS(S)σd[1+ik0dcosθ02],YS(P)σd[1+ik0dcos2θm2cosθ0].
E(r,z,ν)=m[αmeikmz+βmeikmz]Um(r),
H(r,z,ν)=mYm[αmeikmzβmeikmz]z^×Um(r).
SUm*(r)·Un(r)d2r=δmn,
E1(r,z,ν)=m[am(1)+bm(1)]Um(1)(r),
H1(r,z,ν)=mYm(1)[am(1)bm(1)]z^×Um(1)(r),
E2(r,z,ν)=m[am(2)+bm(2)]Um(2)(r),
H2(r,z,ν)=mYm(2)[bm(2)am(2)]z^×Um(2)(r).
[b1b2]=[S11S12S21S22]·[a1a2],
E1=E2+12πiνϵ0z^T·JS,1=2+z^×JS,
z^×E2×z^=0,z^·2=0.
E2(r)={E1(r)rS10rS2S1
am(2)+bm(2)=n[an(1)+bn(1)]S1Um(2)*(r)·Un(1)(r)d2r.
a2+b2=P·[a1+b1],
{P}mn=S1Um(2)*(r)·Un(1)(r)d2r.
H2(r)=H1(r)z^×YS(r)E1(r)
P·Y2·[a2+b2]=Y1·[a1b1]C·[a1+b1],
{Yl}mn=Ym(l)δmn
{C}mn=S1YS(r)Um(1)*(r)·Un(1)(r)d2r.
×E=t.
T×E(r)=2πiνHz(r)z^.
Hz2(r)={Hz1(r)rS10rS2S1,
P·b1b2=P·a1+a2,[Y1+C]·b1+P·Y2·b2=[Y1C]·a1+P·Y2·a2.
[Y1+C+P·Y2·P]·b1=[Y1CP·Y2·P]·a1+2P·Y2·a2,[I+P·(Y1+C)1·P·Y2]·b2=2P·(Y1+C)1·Y1·a1[IP·(Y1+C)1·P·Y2]·a2.
S11=[Y1+C+P·Y2·P]1·[Y1CP·Y2·P],S12=2[Y1+C+P·Y2·P]1·P·Y2,S21=2[I+P·(Y1+C)1·P·Y2]1·P·(Y1+C)1·Y1,S22=[I+P·(Y1+C)1·P·Y2]1·[IP·(Y1+C)1·P·Y2],
S11=[Y1+P·Y2·P]1·[Y1P·Y2·P]S12=2[Y1+P·Y2·P]1·P·Y2,S21=2[I+P·Y11·P·Y2]1·P,S22=[I+P·Y11·P·Y2]1·[IP·Y11·P·Y2].
S11=S22=[2Y+C]1·C,S21=S12=I[2Y+C]1·C.
YS(r)[EI(r)+ES(r)]=JS(r),
E(r1,z)=G¯¯(r1,z1;r2,z2)·J(r2,z2)d3r2,
G¯¯(r1,z1,r2,z2)=12mZmUm(r1)Um*(r2)eikm|z1z2|
YS(r)EI(r)=JS(r)+12YS(r)mZmUm(r)S1Um*(r)·JS(r)d2r.
EI(r)=m{eI}mUm(r),JS(r)=m{j}mUm(r).
C·eI=[I+12C·Z]·j,
{Z}mn=Zmδmn=1Ymδmn.
j=[I+12C·Z]1·C·eI,
eS(z<0)=eS(z>0)=12Z·j.
b1=12Z·[I+12C·Z]1·C·a1,
b2=a112Z·[I+12C·Z]1·C·a1.
S11=S22=12Z·[I+12C·Z]1·C,S12=S21=I12Z·[I+12C·Z]1·C.
Z·Y=Y·Z=I.
12Z·[I+12C·Z]1·C=[2Y+C]1·C,
P=nPn,
Pn=0pn(ν)dν,
pn(ν)=12SRe[z^·En(r,ν)×Hn*(r,ν)]d2r,
pn(ν)=12an·Re[Yn]·an12bn·Re[Yn]·bn(a),i2an·Im[Yn]·bn+i2an·Im[Yn]·bn(b),
pn(ν)=12[anbn]·[Re[Yn]iIm[Yn]iIm[Yn]Re[Yn]]·[anbn].
am(0)=S0Vm*(r)·EI(r)d2r.
[b0a1]=[H11H12H21H22]·[a0b1].
a2=Γ0·b2,
Γ1=[IS22·Γ0]1·S21,
Γ2=S11+S12·Γ0·Γ1,
Γ3=[IH22·Γ2]1·H21,
a1=Γ3·a0A10·a0,
b1=Γ2·Γ3·a0B10·a0,
a2=Γ0·Γ1·Γ3·a0A10·a0,
b2=Γ1·Γ3·a0B10·a0.
p(ν)=a0·D·a0,
D=12m=1,2[Am0Bm0]·[Re[Ym]iIm[Ym]iIm[Ym]Re[Ym]]·[Am0Bm0].
{A}mn=am(0)an(0)*,
p(ν)=Tr[D·A].
p(ν)=S0S0mn{D*}nm·[Vm*(r1)·EI(r1)]*[Vn*(r2)·EI(r2)]d2r1d2r2.
E¯¯(r1,r2)=EI(r1)EI*(r2)
D¯¯(r1,r2)=mn{D}mnVm(r1)Vn*(r2),
p(ν)=S0S0D¯¯(r1,r2)··E¯¯(r1,r2)d2r1d2r2.
C11=A11+A12·[IB11·A22]1·B11·A21,C21=B21·[IA22·B11]1·A21,C12=A12·[IB11·A22]1·B12,C22=B22+B21·[IA11·B22]1·A22·B12.
S11=S22=0,{S12}mn={S21}mn=exp(ikml)δmn.
{S11}mn=δmn.
E¯¯(r1,r2)=[I(r1)(x^x^+y^y^)+Q(r1)(x^x^y^y^)+U(r1)(x^y^+y^x^)+V(r1)(iy^x^ix^y^)]δ(r1r2),
p(ν)=χ=I,Q,U,VRχ(r)χ(r)d2r,
RQ(r)=D¯¯(r,r)··(x^x^y^y^).

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