Abstract

Because of the development of detector arrays stationary interferometric spectrometers now have many applications in the visible and IR; however, these same array sizes make it impractical to design a single Fourier optics system with the necessary large field angles required for the terahertz region. By dividing the Fourier optics into independent components in each arm of an interferometer we show that the aberrations are dramatically reduced, while the same theoretical throughput as in the scanning Michelson interferometer is maintained.

© 2010 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. S. M. Gruner, D. Bilderback, I. Bazarov, K. Finkelstein, G. Krafft, L. Merminga, H. Padamsee, Q. Shen, C. Sinclair, and M. Tigner, Rev. Sci. Instrum. 73, 1402 (2002).
    [CrossRef]
  2. D. H. Bilderback, P. Elleaume, and E. Weckert, J. Phys. B 38, S773 (2005).
    [CrossRef]
  3. M. Röhrs, C. Gerth, H. Schlarb, B. Schmidt, and P. Schmüser, Phys. Rev. ST Accel. Beams 12, 050704 (2009).
    [CrossRef]
  4. D. Mihalcea, C. L. Bohn, U. Happek, and P. Piot, Phys. Rev. ST Accel. Beams 9, 082801 (2006).
    [CrossRef]
  5. N. I. Agladze and A. J. Sievers, Appl. Opt. 43, 6568 (2004).
    [CrossRef]
  6. M. L. Junttila, J. Kauppinen, and E. Ikonen, J. Opt. Soc. Am. A 8, 1457 (1991).
    [CrossRef]
  7. D. Sütterlin, V. Schlott, H. Sigg, D. Emi, H. Jäckel, and A. Murk, in 7th European Workshop on Beam Diagnostics and Instrumentation for Particle Accelerators (CERN, 2005), pp. 211-213.
  8. G. Andonian, S. Boucher, P. Frigola, A. Murokh, and G. Travish, in European Particle Accelerator Conference (EPAC 2008), I.Andrian, O.Brüning, Petit-Jean-Genaz, and P.Pierini, eds. (EPS-AG, 2008), pp. 1218-1220.
  9. R. J. Bell, Introductory Fourier Transform Spectroscopy (Academic, 1972).

2009 (1)

M. Röhrs, C. Gerth, H. Schlarb, B. Schmidt, and P. Schmüser, Phys. Rev. ST Accel. Beams 12, 050704 (2009).
[CrossRef]

2006 (1)

D. Mihalcea, C. L. Bohn, U. Happek, and P. Piot, Phys. Rev. ST Accel. Beams 9, 082801 (2006).
[CrossRef]

2005 (1)

D. H. Bilderback, P. Elleaume, and E. Weckert, J. Phys. B 38, S773 (2005).
[CrossRef]

2004 (1)

2002 (1)

S. M. Gruner, D. Bilderback, I. Bazarov, K. Finkelstein, G. Krafft, L. Merminga, H. Padamsee, Q. Shen, C. Sinclair, and M. Tigner, Rev. Sci. Instrum. 73, 1402 (2002).
[CrossRef]

1991 (1)

Agladze, N. I.

Andonian, G.

G. Andonian, S. Boucher, P. Frigola, A. Murokh, and G. Travish, in European Particle Accelerator Conference (EPAC 2008), I.Andrian, O.Brüning, Petit-Jean-Genaz, and P.Pierini, eds. (EPS-AG, 2008), pp. 1218-1220.

Bazarov, I.

S. M. Gruner, D. Bilderback, I. Bazarov, K. Finkelstein, G. Krafft, L. Merminga, H. Padamsee, Q. Shen, C. Sinclair, and M. Tigner, Rev. Sci. Instrum. 73, 1402 (2002).
[CrossRef]

Bell, R. J.

R. J. Bell, Introductory Fourier Transform Spectroscopy (Academic, 1972).

Bilderback, D.

S. M. Gruner, D. Bilderback, I. Bazarov, K. Finkelstein, G. Krafft, L. Merminga, H. Padamsee, Q. Shen, C. Sinclair, and M. Tigner, Rev. Sci. Instrum. 73, 1402 (2002).
[CrossRef]

Bilderback, D. H.

D. H. Bilderback, P. Elleaume, and E. Weckert, J. Phys. B 38, S773 (2005).
[CrossRef]

Bohn, C. L.

D. Mihalcea, C. L. Bohn, U. Happek, and P. Piot, Phys. Rev. ST Accel. Beams 9, 082801 (2006).
[CrossRef]

Boucher, S.

G. Andonian, S. Boucher, P. Frigola, A. Murokh, and G. Travish, in European Particle Accelerator Conference (EPAC 2008), I.Andrian, O.Brüning, Petit-Jean-Genaz, and P.Pierini, eds. (EPS-AG, 2008), pp. 1218-1220.

Elleaume, P.

D. H. Bilderback, P. Elleaume, and E. Weckert, J. Phys. B 38, S773 (2005).
[CrossRef]

Emi, D.

D. Sütterlin, V. Schlott, H. Sigg, D. Emi, H. Jäckel, and A. Murk, in 7th European Workshop on Beam Diagnostics and Instrumentation for Particle Accelerators (CERN, 2005), pp. 211-213.

Finkelstein, K.

S. M. Gruner, D. Bilderback, I. Bazarov, K. Finkelstein, G. Krafft, L. Merminga, H. Padamsee, Q. Shen, C. Sinclair, and M. Tigner, Rev. Sci. Instrum. 73, 1402 (2002).
[CrossRef]

Frigola, P.

G. Andonian, S. Boucher, P. Frigola, A. Murokh, and G. Travish, in European Particle Accelerator Conference (EPAC 2008), I.Andrian, O.Brüning, Petit-Jean-Genaz, and P.Pierini, eds. (EPS-AG, 2008), pp. 1218-1220.

Gerth, C.

M. Röhrs, C. Gerth, H. Schlarb, B. Schmidt, and P. Schmüser, Phys. Rev. ST Accel. Beams 12, 050704 (2009).
[CrossRef]

Gruner, S. M.

S. M. Gruner, D. Bilderback, I. Bazarov, K. Finkelstein, G. Krafft, L. Merminga, H. Padamsee, Q. Shen, C. Sinclair, and M. Tigner, Rev. Sci. Instrum. 73, 1402 (2002).
[CrossRef]

Happek, U.

D. Mihalcea, C. L. Bohn, U. Happek, and P. Piot, Phys. Rev. ST Accel. Beams 9, 082801 (2006).
[CrossRef]

Ikonen, E.

Jäckel, H.

D. Sütterlin, V. Schlott, H. Sigg, D. Emi, H. Jäckel, and A. Murk, in 7th European Workshop on Beam Diagnostics and Instrumentation for Particle Accelerators (CERN, 2005), pp. 211-213.

Junttila, M. L.

Kauppinen, J.

Krafft, G.

S. M. Gruner, D. Bilderback, I. Bazarov, K. Finkelstein, G. Krafft, L. Merminga, H. Padamsee, Q. Shen, C. Sinclair, and M. Tigner, Rev. Sci. Instrum. 73, 1402 (2002).
[CrossRef]

Merminga, L.

S. M. Gruner, D. Bilderback, I. Bazarov, K. Finkelstein, G. Krafft, L. Merminga, H. Padamsee, Q. Shen, C. Sinclair, and M. Tigner, Rev. Sci. Instrum. 73, 1402 (2002).
[CrossRef]

Mihalcea, D.

D. Mihalcea, C. L. Bohn, U. Happek, and P. Piot, Phys. Rev. ST Accel. Beams 9, 082801 (2006).
[CrossRef]

Murk, A.

D. Sütterlin, V. Schlott, H. Sigg, D. Emi, H. Jäckel, and A. Murk, in 7th European Workshop on Beam Diagnostics and Instrumentation for Particle Accelerators (CERN, 2005), pp. 211-213.

Murokh, A.

G. Andonian, S. Boucher, P. Frigola, A. Murokh, and G. Travish, in European Particle Accelerator Conference (EPAC 2008), I.Andrian, O.Brüning, Petit-Jean-Genaz, and P.Pierini, eds. (EPS-AG, 2008), pp. 1218-1220.

Padamsee, H.

S. M. Gruner, D. Bilderback, I. Bazarov, K. Finkelstein, G. Krafft, L. Merminga, H. Padamsee, Q. Shen, C. Sinclair, and M. Tigner, Rev. Sci. Instrum. 73, 1402 (2002).
[CrossRef]

Piot, P.

D. Mihalcea, C. L. Bohn, U. Happek, and P. Piot, Phys. Rev. ST Accel. Beams 9, 082801 (2006).
[CrossRef]

Röhrs, M.

M. Röhrs, C. Gerth, H. Schlarb, B. Schmidt, and P. Schmüser, Phys. Rev. ST Accel. Beams 12, 050704 (2009).
[CrossRef]

Schlarb, H.

M. Röhrs, C. Gerth, H. Schlarb, B. Schmidt, and P. Schmüser, Phys. Rev. ST Accel. Beams 12, 050704 (2009).
[CrossRef]

Schlott, V.

D. Sütterlin, V. Schlott, H. Sigg, D. Emi, H. Jäckel, and A. Murk, in 7th European Workshop on Beam Diagnostics and Instrumentation for Particle Accelerators (CERN, 2005), pp. 211-213.

Schmidt, B.

M. Röhrs, C. Gerth, H. Schlarb, B. Schmidt, and P. Schmüser, Phys. Rev. ST Accel. Beams 12, 050704 (2009).
[CrossRef]

Schmüser, P.

M. Röhrs, C. Gerth, H. Schlarb, B. Schmidt, and P. Schmüser, Phys. Rev. ST Accel. Beams 12, 050704 (2009).
[CrossRef]

Shen, Q.

S. M. Gruner, D. Bilderback, I. Bazarov, K. Finkelstein, G. Krafft, L. Merminga, H. Padamsee, Q. Shen, C. Sinclair, and M. Tigner, Rev. Sci. Instrum. 73, 1402 (2002).
[CrossRef]

Sievers, A. J.

Sigg, H.

D. Sütterlin, V. Schlott, H. Sigg, D. Emi, H. Jäckel, and A. Murk, in 7th European Workshop on Beam Diagnostics and Instrumentation for Particle Accelerators (CERN, 2005), pp. 211-213.

Sinclair, C.

S. M. Gruner, D. Bilderback, I. Bazarov, K. Finkelstein, G. Krafft, L. Merminga, H. Padamsee, Q. Shen, C. Sinclair, and M. Tigner, Rev. Sci. Instrum. 73, 1402 (2002).
[CrossRef]

Sütterlin, D.

D. Sütterlin, V. Schlott, H. Sigg, D. Emi, H. Jäckel, and A. Murk, in 7th European Workshop on Beam Diagnostics and Instrumentation for Particle Accelerators (CERN, 2005), pp. 211-213.

Tigner, M.

S. M. Gruner, D. Bilderback, I. Bazarov, K. Finkelstein, G. Krafft, L. Merminga, H. Padamsee, Q. Shen, C. Sinclair, and M. Tigner, Rev. Sci. Instrum. 73, 1402 (2002).
[CrossRef]

Travish, G.

G. Andonian, S. Boucher, P. Frigola, A. Murokh, and G. Travish, in European Particle Accelerator Conference (EPAC 2008), I.Andrian, O.Brüning, Petit-Jean-Genaz, and P.Pierini, eds. (EPS-AG, 2008), pp. 1218-1220.

Weckert, E.

D. H. Bilderback, P. Elleaume, and E. Weckert, J. Phys. B 38, S773 (2005).
[CrossRef]

Appl. Opt. (1)

J. Opt. Soc. Am. A (1)

J. Phys. B (1)

D. H. Bilderback, P. Elleaume, and E. Weckert, J. Phys. B 38, S773 (2005).
[CrossRef]

Phys. Rev. ST Accel. Beams (2)

M. Röhrs, C. Gerth, H. Schlarb, B. Schmidt, and P. Schmüser, Phys. Rev. ST Accel. Beams 12, 050704 (2009).
[CrossRef]

D. Mihalcea, C. L. Bohn, U. Happek, and P. Piot, Phys. Rev. ST Accel. Beams 9, 082801 (2006).
[CrossRef]

Rev. Sci. Instrum. (1)

S. M. Gruner, D. Bilderback, I. Bazarov, K. Finkelstein, G. Krafft, L. Merminga, H. Padamsee, Q. Shen, C. Sinclair, and M. Tigner, Rev. Sci. Instrum. 73, 1402 (2002).
[CrossRef]

Other (3)

D. Sütterlin, V. Schlott, H. Sigg, D. Emi, H. Jäckel, and A. Murk, in 7th European Workshop on Beam Diagnostics and Instrumentation for Particle Accelerators (CERN, 2005), pp. 211-213.

G. Andonian, S. Boucher, P. Frigola, A. Murokh, and G. Travish, in European Particle Accelerator Conference (EPAC 2008), I.Andrian, O.Brüning, Petit-Jean-Genaz, and P.Pierini, eds. (EPS-AG, 2008), pp. 1218-1220.

R. J. Bell, Introductory Fourier Transform Spectroscopy (Academic, 1972).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Simplified geometry for a tilt-interferometer-based HFTS. Two arms of the interferometer contain separate Fourier lenses L 1 and L 2 , which are located at focal length f both from the corresponding virtual sources created by the interferometer ( x i , y i ) , i = 1 , 2 , and from the array detector ( x , y ) . The off-axis point at the source is represented by the pair of points A 1 and A 2 and is described by field angles ψ and φ for out-of-plane and in-plane directions correspondingly. Wave vectors k 1 and k 2 correspond to collimated beams interfering at the angle α in the detector plane.

Fig. 2
Fig. 2

Top view of the THz tilt interferometer. 1, fore optics (45° off-axis parabolic mirror); 2, beam splitter; 3, 4, shutters; 5, 6, out-of-plane tilted mirrors; 7, 8, two halves of the split Fourier system (30° off-axis parabolic mirrors, under the platform); 9, polarizer in front of the detector.

Fig. 3
Fig. 3

Frequency shift for oblique directions. Dashed curve, scanning FTS; solid curve, HFTS with ideal Fourier optics. The shifts have opposite signs but the same absolute values for these instruments. Open circles and squares are for the designed THz interferometer with 30° off-axis parabolic reflectors and split Fourier system for the in-plane ( φ ) and out-of-plane ( ψ ) field directions, respectively. Ray tracing confirms that the actual field aberrations do not exceed ideal values for HFTS.

Equations (1)

Equations on this page are rendered with MathJax. Learn more.

I ( x , y ) = 0 I 0 ( σ , x , y ) { τ 2 + ( 1 τ ) 2 + 2 τ ( 1 τ ) cos [ ( 2 π σ y ) 2 sin ( α 2 ) cos φ cos ψ ] } B ( σ ) d σ ,

Metrics