Abstract

A new method, FM-FTS, combining frequency modulation heterodyne laser spectroscopy and Fourier transform spectroscopy is presented. It provides simultaneous sensitive measurement of absorption and dispersion profiles with broadband spectral coverage capabilities. Experimental demonstration of the overtone spectrum of C2H2 in the 1.5μm region is presented.

© 2007 Optical Society of America

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References

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  1. G. C. Bjorklund, Opt. Lett. 5, 15 (1980).
    [CrossRef] [PubMed]
  2. R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, Appl. Phys. B: Photophys. Laser Chem. 31, 97 (1983).
    [CrossRef]
  3. W. Zapka, M. D. Levenson, F. M. Schellenberg, A. C. Tam, and G. C. Bjorklund, Opt. Lett. 8, 27 (1983).
    [CrossRef] [PubMed]
  4. J. L. Hall, L. Hollberg, T. Baer, and H. G. Robinson, Appl. Phys. Lett. 39, 680 (1981).
    [CrossRef]
  5. P. Maddaloni, P. Malara, G. Gagliardi, and P. De Natale, Appl. Phys. B 85, 219 (2006).
    [CrossRef]
  6. N. Picqué and G. Guelachvili, Appl. Opt. 39, 3984 (2000).
    [CrossRef]
  7. J. Mandon, G. Guelachvili, and N. Picqué are preparing a manuscript to be called "Doppler-limited multiplex frequency comb spectrometry."

2006

P. Maddaloni, P. Malara, G. Gagliardi, and P. De Natale, Appl. Phys. B 85, 219 (2006).
[CrossRef]

2000

1983

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, Appl. Phys. B: Photophys. Laser Chem. 31, 97 (1983).
[CrossRef]

W. Zapka, M. D. Levenson, F. M. Schellenberg, A. C. Tam, and G. C. Bjorklund, Opt. Lett. 8, 27 (1983).
[CrossRef] [PubMed]

1981

J. L. Hall, L. Hollberg, T. Baer, and H. G. Robinson, Appl. Phys. Lett. 39, 680 (1981).
[CrossRef]

1980

Appl. Opt.

Appl. Phys. B

P. Maddaloni, P. Malara, G. Gagliardi, and P. De Natale, Appl. Phys. B 85, 219 (2006).
[CrossRef]

Appl. Phys. B: Photophys. Laser Chem.

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, Appl. Phys. B: Photophys. Laser Chem. 31, 97 (1983).
[CrossRef]

Appl. Phys. Lett.

J. L. Hall, L. Hollberg, T. Baer, and H. G. Robinson, Appl. Phys. Lett. 39, 680 (1981).
[CrossRef]

Opt. Lett.

Other

J. Mandon, G. Guelachvili, and N. Picqué are preparing a manuscript to be called "Doppler-limited multiplex frequency comb spectrometry."

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Figures (3)

Fig. 1
Fig. 1

Schematic of the experimental setup.

Fig. 2
Fig. 2

Absorption interferogram using in-phase RF detection with FM-FTS. Maximum path difference is 40 cm corresponding to 12.5 × 10 3 cm 1 unapodized resolution.

Fig. 3
Fig. 3

FM-FTS dispersion and absorption spectra of the acetylene molecule at 1528.6 nm . The middle plot represents the line relative intensities taken from the HITRAN database.

Equations (7)

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E ( Δ , t ) = E 0 ( ω c ) 2 [ 1 + exp ( i ω c Δ c ) ] exp ( i ω c t ) d ω c + c.c. ,
E ( Δ , t ) = E 0 ( ω c ) 2 [ 1 + exp ( i ω c Δ c ) ] { exp ( i ω c t ) + M exp [ i ( ω c + ω m ) t ] M exp [ i ( ω c ω m ) t ] } d ω c + c.c.
E ( Δ , t ) = E 0 ( ω c ) 2 [ 1 + exp ( i ω c Δ c ) ] { exp ( δ 0 i ϕ 0 ) exp ( i ω c t ) + M exp ( δ + 1 i ϕ + 1 ) exp [ i ( ω c + ω m ) t ] M exp ( δ 1 i ϕ 1 ) exp [ i ( ω c ω m ) t ] } d ω c + c.c.
I ( Δ , t ) E ( Δ , t ) E * ( Δ , t ) .
I ( Δ , t ) ( [ exp ( 2 δ 0 ) + exp ( 2 δ + 1 ) + exp ( 2 δ 1 ) ] [ 1 + cos ( ω c Δ c ) ] + 2 M cos ( ω m t ) [ exp ( δ 0 δ + 1 ) cos ( ϕ 0 ϕ + 1 ) exp ( δ 0 δ 1 ) cos ( ϕ 0 ϕ 1 ) ] [ 1 + cos ( ω c Δ c ) ] + 2 M sin ( ω m t ) [ exp ( δ 0 δ 1 ) sin ( ϕ 1 ϕ 0 ) exp ( δ 0 δ + 1 ) sin ( ϕ 0 ϕ + 1 ) ] [ 1 + cos ( ω c Δ c ) ] + 2 M 2 cos ( 2 ω m t ) [ exp ( δ + 1 δ 1 ) sin ( ϕ 1 ϕ + 1 ) ] [ 1 + cos ( ω c Δ c ) ] + 2 M 2 sin ( 2 ω m t ) [ exp ( δ + 1 δ 1 ) cos ( ϕ 1 ϕ + 1 ) ] [ 1 + cos ( ω c Δ c ) ] ) d ω c .
I cos ( Δ ) M [ 1 + cos ( ω c Δ c ) ] exp ( 2 δ 0 ) ( δ 1 δ + 1 ) d ω c ,
I sin ( Δ ) M [ 1 + cos ( ω c Δ c ) ] exp ( 2 δ 0 ) ( ϕ + 1 + ϕ 1 2 ϕ 0 ) d ω c .

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