Abstract

A method is presented for calibrating the wavelength assignments of a spectrometer. White light is launched through an unbalanced Michelson interferometer to produce an optical signal that varies strongly, but predictably, with wavelength. The spectrometer output is then compared to the predicted signal and the deviations found are assumed to be due to wavelength assignment errors, permitting the spectrometer to be calibrated. The details of this process are presented with an example.

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References

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  1. S. K. Debnath and M. P. Kothiyal, Appl. Opt. 45, 6965(2006).
    [CrossRef] [PubMed]
  2. J. Calatroni, A. L. Guerreo, C. Sainz, and R. Escalona, Opt. Laser Technol. 28, 485 (1996).
    [CrossRef]
  3. S. K. Debnath and M. P. Kothiyal, Opt. Eng. 44, 013606(2005).
    [CrossRef]
  4. P. D. Koudelka and J. H. Burge, Proc. SPIE 5252, 17 (2004).
    [CrossRef]
  5. A. F. Fercher, C. K. Hitzenberger, G. Kamp, and S. Y. El-Zaiat, Opt. Commun. 117, 43 (1995).
    [CrossRef]
  6. Ocean Optics Inc., “Calibrating the wavelength of the spectrometer,” http://www.oceanoptics.com/Technical/wavelengthcalibration.pdf.

2006

2005

S. K. Debnath and M. P. Kothiyal, Opt. Eng. 44, 013606(2005).
[CrossRef]

2004

P. D. Koudelka and J. H. Burge, Proc. SPIE 5252, 17 (2004).
[CrossRef]

1996

J. Calatroni, A. L. Guerreo, C. Sainz, and R. Escalona, Opt. Laser Technol. 28, 485 (1996).
[CrossRef]

1995

A. F. Fercher, C. K. Hitzenberger, G. Kamp, and S. Y. El-Zaiat, Opt. Commun. 117, 43 (1995).
[CrossRef]

Burge, J. H.

P. D. Koudelka and J. H. Burge, Proc. SPIE 5252, 17 (2004).
[CrossRef]

Calatroni, J.

J. Calatroni, A. L. Guerreo, C. Sainz, and R. Escalona, Opt. Laser Technol. 28, 485 (1996).
[CrossRef]

Debnath, S. K.

S. K. Debnath and M. P. Kothiyal, Appl. Opt. 45, 6965(2006).
[CrossRef] [PubMed]

S. K. Debnath and M. P. Kothiyal, Opt. Eng. 44, 013606(2005).
[CrossRef]

El-Zaiat, S. Y.

A. F. Fercher, C. K. Hitzenberger, G. Kamp, and S. Y. El-Zaiat, Opt. Commun. 117, 43 (1995).
[CrossRef]

Escalona, R.

J. Calatroni, A. L. Guerreo, C. Sainz, and R. Escalona, Opt. Laser Technol. 28, 485 (1996).
[CrossRef]

Fercher, A. F.

A. F. Fercher, C. K. Hitzenberger, G. Kamp, and S. Y. El-Zaiat, Opt. Commun. 117, 43 (1995).
[CrossRef]

Guerreo, A. L.

J. Calatroni, A. L. Guerreo, C. Sainz, and R. Escalona, Opt. Laser Technol. 28, 485 (1996).
[CrossRef]

Hitzenberger, C. K.

A. F. Fercher, C. K. Hitzenberger, G. Kamp, and S. Y. El-Zaiat, Opt. Commun. 117, 43 (1995).
[CrossRef]

Inc., Ocean Optics

Ocean Optics Inc., “Calibrating the wavelength of the spectrometer,” http://www.oceanoptics.com/Technical/wavelengthcalibration.pdf.

Kamp, G.

A. F. Fercher, C. K. Hitzenberger, G. Kamp, and S. Y. El-Zaiat, Opt. Commun. 117, 43 (1995).
[CrossRef]

Kothiyal, M. P.

S. K. Debnath and M. P. Kothiyal, Appl. Opt. 45, 6965(2006).
[CrossRef] [PubMed]

S. K. Debnath and M. P. Kothiyal, Opt. Eng. 44, 013606(2005).
[CrossRef]

Koudelka, P. D.

P. D. Koudelka and J. H. Burge, Proc. SPIE 5252, 17 (2004).
[CrossRef]

Sainz, C.

J. Calatroni, A. L. Guerreo, C. Sainz, and R. Escalona, Opt. Laser Technol. 28, 485 (1996).
[CrossRef]

Appl. Opt.

Opt. Commun.

A. F. Fercher, C. K. Hitzenberger, G. Kamp, and S. Y. El-Zaiat, Opt. Commun. 117, 43 (1995).
[CrossRef]

Opt. Eng.

S. K. Debnath and M. P. Kothiyal, Opt. Eng. 44, 013606(2005).
[CrossRef]

Opt. Laser Technol.

J. Calatroni, A. L. Guerreo, C. Sainz, and R. Escalona, Opt. Laser Technol. 28, 485 (1996).
[CrossRef]

Proc. SPIE

P. D. Koudelka and J. H. Burge, Proc. SPIE 5252, 17 (2004).
[CrossRef]

Other

Ocean Optics Inc., “Calibrating the wavelength of the spectrometer,” http://www.oceanoptics.com/Technical/wavelengthcalibration.pdf.

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Figures (4)

Fig. 1
Fig. 1

SRWLI can be applied to the output of a Michelson interferometer with a path length mismatch in the two optical paths.

Fig. 2
Fig. 2

The output from a spectrometer monitoring the white-light transmission of a Michelson interferometer with mismatched paths shows wavelength dependent beating. If one of the arms of the interferometer is blocked, a reference spectra is obtained (the slowly varying signal) and, if both paths are blocked, the spectrometer dark field signal is obtained (constant curve).

Fig. 3
Fig. 3

If the spectrometer output is multiplied by an ideal output, an oscillatory signal with drift is obtained. This drift corresponds to the preliminary wavelength assignment error in the spectrometer.

Fig. 4
Fig. 4

Dashed curve shows the preliminary wavelength assignment errors in the spectrometer, reaching values of nearly 1.5 nm . This correction was applied to the spectrometer, and the process described in the text was run again, yielding a new error trace of less than 0.1 nm in magnitude across the spectrum.

Equations (3)

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I ( λ ) = [ I 0 ( λ ) / 2 ] [ 1 + cos ( 2 π d / λ ) ] ,
i = 1 n P ( λ i ) cos ( 2 π z / λ i ) ( Δ λ i / λ i ) [ Ci ( 2 π z / λ 1 ) Ci ( 2 π z / λ n ) ] [ Ci ( 4 π z / λ 1 ) Ci ( 4 π z / λ n ) ] / 4 ,
cos ( 2 π d e / λ i ) sin [ 2 π d e / ( λ i + η i ) ] ( 1 / 2 ) sin ( 2 π d e η i / λ i 2 ) + ( 1 / 2 ) sin ( 4 π d e / λ i ) ,

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