Abstract

We report that a spectrum can be retrieved with a planar waveguide spatial heterodyne spectrometer (SHS) incorporating an active phase-shift scheme, where the phase shifts are distributed around π/2. This was confirmed experimentally with an SHS that had 32 interleaved Mach–Zehnder interferometers and whose free spectral range was 625GHz. The phase shifts ranged from 0.71 to 2.2rad against the target of π/2rad.

© 2011 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. M. Florjańczyk, P. Cheben, S. Janz, A. Scott, B. Solheim, and D. X. Xu, Opt. Express 15, 18176 (2007).
    [CrossRef] [PubMed]
  2. M. Florjańczyk, P. Cheben, S. Janz, A. Scott, B. Solheim, and D. X. Xu, Proc. SPIE 7099, 70991L (2008).
    [CrossRef]
  3. K. Okamoto, H. Aoyagi, and K. Takada, Opt. Lett. 35, 2103 (2010).
    [CrossRef] [PubMed]
  4. K. Takada, T. Aoyagi, and K. Okamoto, Electron. Lett. 46, 1620 (2010).
    [CrossRef]
  5. T. Goh, S. Suzuki, and A. Sugita, J. Lightwave Technol. 15, 2107 (1997).
    [CrossRef]
  6. M. Oguma, Y. Nasu, H. Takahashi, H. Kawakami, and E. Yoshida, presented at the ECOC 2007, 33rd European Conference and Exhibition of Optical Communication, Berlin, Germany, 2007, p. 10.3.3.

2010

K. Okamoto, H. Aoyagi, and K. Takada, Opt. Lett. 35, 2103 (2010).
[CrossRef] [PubMed]

K. Takada, T. Aoyagi, and K. Okamoto, Electron. Lett. 46, 1620 (2010).
[CrossRef]

2008

M. Florjańczyk, P. Cheben, S. Janz, A. Scott, B. Solheim, and D. X. Xu, Proc. SPIE 7099, 70991L (2008).
[CrossRef]

2007

1997

T. Goh, S. Suzuki, and A. Sugita, J. Lightwave Technol. 15, 2107 (1997).
[CrossRef]

Aoyagi, H.

Aoyagi, T.

K. Takada, T. Aoyagi, and K. Okamoto, Electron. Lett. 46, 1620 (2010).
[CrossRef]

Cheben, P.

M. Florjańczyk, P. Cheben, S. Janz, A. Scott, B. Solheim, and D. X. Xu, Proc. SPIE 7099, 70991L (2008).
[CrossRef]

M. Florjańczyk, P. Cheben, S. Janz, A. Scott, B. Solheim, and D. X. Xu, Opt. Express 15, 18176 (2007).
[CrossRef] [PubMed]

Florjanczyk, M.

M. Florjańczyk, P. Cheben, S. Janz, A. Scott, B. Solheim, and D. X. Xu, Proc. SPIE 7099, 70991L (2008).
[CrossRef]

M. Florjańczyk, P. Cheben, S. Janz, A. Scott, B. Solheim, and D. X. Xu, Opt. Express 15, 18176 (2007).
[CrossRef] [PubMed]

Goh, T.

T. Goh, S. Suzuki, and A. Sugita, J. Lightwave Technol. 15, 2107 (1997).
[CrossRef]

Janz, S.

M. Florjańczyk, P. Cheben, S. Janz, A. Scott, B. Solheim, and D. X. Xu, Proc. SPIE 7099, 70991L (2008).
[CrossRef]

M. Florjańczyk, P. Cheben, S. Janz, A. Scott, B. Solheim, and D. X. Xu, Opt. Express 15, 18176 (2007).
[CrossRef] [PubMed]

Kawakami, H.

M. Oguma, Y. Nasu, H. Takahashi, H. Kawakami, and E. Yoshida, presented at the ECOC 2007, 33rd European Conference and Exhibition of Optical Communication, Berlin, Germany, 2007, p. 10.3.3.

Nasu, Y.

M. Oguma, Y. Nasu, H. Takahashi, H. Kawakami, and E. Yoshida, presented at the ECOC 2007, 33rd European Conference and Exhibition of Optical Communication, Berlin, Germany, 2007, p. 10.3.3.

Oguma, M.

M. Oguma, Y. Nasu, H. Takahashi, H. Kawakami, and E. Yoshida, presented at the ECOC 2007, 33rd European Conference and Exhibition of Optical Communication, Berlin, Germany, 2007, p. 10.3.3.

Okamoto, K.

K. Okamoto, H. Aoyagi, and K. Takada, Opt. Lett. 35, 2103 (2010).
[CrossRef] [PubMed]

K. Takada, T. Aoyagi, and K. Okamoto, Electron. Lett. 46, 1620 (2010).
[CrossRef]

Scott, A.

M. Florjańczyk, P. Cheben, S. Janz, A. Scott, B. Solheim, and D. X. Xu, Proc. SPIE 7099, 70991L (2008).
[CrossRef]

M. Florjańczyk, P. Cheben, S. Janz, A. Scott, B. Solheim, and D. X. Xu, Opt. Express 15, 18176 (2007).
[CrossRef] [PubMed]

Solheim, B.

M. Florjańczyk, P. Cheben, S. Janz, A. Scott, B. Solheim, and D. X. Xu, Proc. SPIE 7099, 70991L (2008).
[CrossRef]

M. Florjańczyk, P. Cheben, S. Janz, A. Scott, B. Solheim, and D. X. Xu, Opt. Express 15, 18176 (2007).
[CrossRef] [PubMed]

Sugita, A.

T. Goh, S. Suzuki, and A. Sugita, J. Lightwave Technol. 15, 2107 (1997).
[CrossRef]

Suzuki, S.

T. Goh, S. Suzuki, and A. Sugita, J. Lightwave Technol. 15, 2107 (1997).
[CrossRef]

Takada, K.

K. Okamoto, H. Aoyagi, and K. Takada, Opt. Lett. 35, 2103 (2010).
[CrossRef] [PubMed]

K. Takada, T. Aoyagi, and K. Okamoto, Electron. Lett. 46, 1620 (2010).
[CrossRef]

Takahashi, H.

M. Oguma, Y. Nasu, H. Takahashi, H. Kawakami, and E. Yoshida, presented at the ECOC 2007, 33rd European Conference and Exhibition of Optical Communication, Berlin, Germany, 2007, p. 10.3.3.

Xu, D. X.

M. Florjańczyk, P. Cheben, S. Janz, A. Scott, B. Solheim, and D. X. Xu, Proc. SPIE 7099, 70991L (2008).
[CrossRef]

M. Florjańczyk, P. Cheben, S. Janz, A. Scott, B. Solheim, and D. X. Xu, Opt. Express 15, 18176 (2007).
[CrossRef] [PubMed]

Yoshida, E.

M. Oguma, Y. Nasu, H. Takahashi, H. Kawakami, and E. Yoshida, presented at the ECOC 2007, 33rd European Conference and Exhibition of Optical Communication, Berlin, Germany, 2007, p. 10.3.3.

Electron. Lett.

K. Takada, T. Aoyagi, and K. Okamoto, Electron. Lett. 46, 1620 (2010).
[CrossRef]

J. Lightwave Technol.

T. Goh, S. Suzuki, and A. Sugita, J. Lightwave Technol. 15, 2107 (1997).
[CrossRef]

Opt. Express

Opt. Lett.

Proc. SPIE

M. Florjańczyk, P. Cheben, S. Janz, A. Scott, B. Solheim, and D. X. Xu, Proc. SPIE 7099, 70991L (2008).
[CrossRef]

Other

M. Oguma, Y. Nasu, H. Takahashi, H. Kawakami, and E. Yoshida, presented at the ECOC 2007, 33rd European Conference and Exhibition of Optical Communication, Berlin, Germany, 2007, p. 10.3.3.

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 (4)

Fig. 1
Fig. 1

Configuration of silica-based planar waveguide SHS with N = 32 interleaved MZIs. A small heater was placed on the MZI array to induce a phase shift.

Fig. 2
Fig. 2

(a) Calibrated interference patterns from the MZIs. (i), in-phase interference pattern { Δ P k ( I ) } ; (ii), phase-shifted interference pattern { Δ P k ( I ) } . (b)  { U k } as a result of correction for phase-shift deviation. (i), real part of { U k } ; (ii), imaginary part of { U k } .

Fig. 3
Fig. 3

Phase error distributions and phase-shift variations. (i), original phase errors { ε k } ; (ii), phase errors { ϕ k } induced by heating; (iii), phase shifts defined as ϕ k ε k for k = 0 , 1 , , 31 .

Fig. 4
Fig. 4

Comparison of calculated and measured spectra: (i), calculated with correction for phase-shift deviation; (ii), measured with an optical spectrum analyzer; (iii), calculated without correction for phase-shift deviation.

Equations (3)

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

Δ P k ( I ) = m = 0 M 1 S m cos ( 2 π k m M + ε k ) .
Δ P k ( Q ) = m = 0 M 1 S m cos ( 2 π k m M + ϕ k ) .
U k = i e i ε k sin ( ϕ k ε k ) [ Δ P k ( I ) e i ( ϕ k ε k ) Δ P k ( Q ) ] ,

Metrics