Abstract

A simple method for measuring the frequency-chirped response of lasers is presented. This method relates the deviation from the Lorentzian line shape of the transmission of a Fabry–Perot interferometer to the frequency chirp of the laser and allows a direct measurement of the frequency chirp. Two chirps produced by an external-cavity laser diode with an intracavity electro-optic crystal were measured. The first measurement was of a linear chirp of 800 MHz occurring in a time of 12.3 µs, and the second measurement was of eight repeated 800-MHz linear chirps each occurring in 337 µs. Agreement between the measured and the expected frequency-chirped response of the laser is shown.

© 2000 Optical Society of America

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References

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1999

1998

1997

O. Kazharsky, S. Pakhomov, A. Grachev, Y. Mironov, I. Goncharov, A. Matveev, “Broad continuous frequency tuning of a diode laser with an external cavity,” Opt. Commun. 137, 77–82 (1997).
[CrossRef]

1994

1993

1991

1987

Andrews, J. R.

Babbitt, W. R.

Boggs, B.

Cooper, D. E.

de Labachelerie, M.

Furtak, T. E.

M. V. Klein, T. E. Furtak, Optics, 2nd ed. (Wiley, New York, 1986), Chap. 5.

Goedgebuer, J.-P.

Goncharov, I.

O. Kazharsky, S. Pakhomov, A. Grachev, Y. Mironov, I. Goncharov, A. Matveev, “Broad continuous frequency tuning of a diode laser with an external cavity,” Opt. Commun. 137, 77–82 (1997).
[CrossRef]

Grachev, A.

O. Kazharsky, S. Pakhomov, A. Grachev, Y. Mironov, I. Goncharov, A. Matveev, “Broad continuous frequency tuning of a diode laser with an external cavity,” Opt. Commun. 137, 77–82 (1997).
[CrossRef]

Greiner, C.

Hariharan, P.

P. Hariharan, Optical Interferometry (Academic, New York, 1985).

Ito, H.

K. Nakamura, T. Miyahara, H. Ito, “Observation of a highly phase-correlated chirped frequency comb output from a frequency-shifted feedback laser,” Appl. Phys. Lett. 72, 2631–2633 (1998).
[CrossRef]

Karlsson, C. J.

Kazharsky, O.

O. Kazharsky, S. Pakhomov, A. Grachev, Y. Mironov, I. Goncharov, A. Matveev, “Broad continuous frequency tuning of a diode laser with an external cavity,” Opt. Commun. 137, 77–82 (1997).
[CrossRef]

Klein, M. V.

M. V. Klein, T. E. Furtak, Optics, 2nd ed. (Wiley, New York, 1986), Chap. 5.

Lin, H.

Matveev, A.

O. Kazharsky, S. Pakhomov, A. Grachev, Y. Mironov, I. Goncharov, A. Matveev, “Broad continuous frequency tuning of a diode laser with an external cavity,” Opt. Commun. 137, 77–82 (1997).
[CrossRef]

Merkel, K. D.

Mironov, Y.

O. Kazharsky, S. Pakhomov, A. Grachev, Y. Mironov, I. Goncharov, A. Matveev, “Broad continuous frequency tuning of a diode laser with an external cavity,” Opt. Commun. 137, 77–82 (1997).
[CrossRef]

Miyahara, T.

K. Nakamura, T. Miyahara, H. Ito, “Observation of a highly phase-correlated chirped frequency comb output from a frequency-shifted feedback laser,” Appl. Phys. Lett. 72, 2631–2633 (1998).
[CrossRef]

Mossberg, T. W.

Nakamura, K.

K. Nakamura, T. Miyahara, H. Ito, “Observation of a highly phase-correlated chirped frequency comb output from a frequency-shifted feedback laser,” Appl. Phys. Lett. 72, 2631–2633 (1998).
[CrossRef]

Olsson, F. A. A.

Pakhomov, S.

O. Kazharsky, S. Pakhomov, A. Grachev, Y. Mironov, I. Goncharov, A. Matveev, “Broad continuous frequency tuning of a diode laser with an external cavity,” Opt. Commun. 137, 77–82 (1997).
[CrossRef]

Passedat, G.

Porte, H.

Wacogne, B.

Wang, T.

Warren, R. E.

Appl. Opt.

Appl. Phys. Lett.

K. Nakamura, T. Miyahara, H. Ito, “Observation of a highly phase-correlated chirped frequency comb output from a frequency-shifted feedback laser,” Appl. Phys. Lett. 72, 2631–2633 (1998).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Commun.

O. Kazharsky, S. Pakhomov, A. Grachev, Y. Mironov, I. Goncharov, A. Matveev, “Broad continuous frequency tuning of a diode laser with an external cavity,” Opt. Commun. 137, 77–82 (1997).
[CrossRef]

Opt. Lett.

Other

M. V. Klein, T. E. Furtak, Optics, 2nd ed. (Wiley, New York, 1986), Chap. 5.

P. Hariharan, Optical Interferometry (Academic, New York, 1985).

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Figures (5)

Fig. 1
Fig. 1

Solid curve is a plot of the ratio of the transmitted and incident power as a function of time for a CECDL. The dotted–dashed curve (upper trace) is a plot of the frequency chirp Δν(t) as a function of time used to calculate the ratio of the transmitted powers. The deviation from a Lorentzian line shape, shown as the dotted curve, is apparent for the transmitted power when a frequency chirp is applied to the laser. The dashed curve is a Lorentzian that has been shifted by t s = 0.333 ms and corresponds to a 224-MHz shift of the laser frequency away from its center frequency ν 0. The times when the solid and dashed curves intersect are those times when the chirp gives a 224-MHz shift.

Fig. 2
Fig. 2

Schematic of the experimental setup used to measure the frequency response of a CECDL. SRS, Stanford Research Systems; H. V., high voltage.

Fig. 3
Fig. 3

Plot of the laser frequency as a function of applied voltage by use of the SRS high-voltage supply. The open circles are experimentally measured points from the Burleigh wavemeter whereas the solid curve is a linear fit to the data. This plot shows the near dc tuning response of the EO crystal.

Fig. 4
Fig. 4

(a) Plot of the detector voltage as a function of time. The solid curve is the case when Δν(t) ≠ 0 whereas the dotted–dashed curve is the case when Δν(t) = 0 and has been graphically shifted by t s = 0.333 ms. The intersection of the solid and dotted–dashed curves indicates that the CECDL has a 224-MHz shift away from its center frequency. The inserted plot is an expanded view with the open circles and connecting solid curve showing the case when Δν(t) ≠ 0 whereas the dotted–dashed curve shows the case when Δν(t) = 0 and again has been graphically shifted by t s = 0.333 ms. The intersection of the solid and dotted–dashed curves indicates a shift of 224 MHz away from the CECDL’s center frequency. (b) The same as (a) with the exception that a longer-duration linear voltage ramp was applied to the EO crystal.

Fig. 5
Fig. 5

(a) Plot of the frequency-chirped response Δν(t) as a function of time. The open circles represent the measured values of the frequency response whereas the solid curve represents the expected frequency response as calculated from Eq. (5). An 800-MHz linear frequency chirp with a 12.3-µs duration is shown in this plot. (b) The same as (a) with the exception that a longer-duration voltage ramp was applied to the EO crystal. Eight consecutive linear frequency chirps are shown, each with a 337-µs duration.

Equations (5)

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

ITtI0 = T21+R2-2R cos ϕt,
ϕt=4πcν0+Δνt] [L0+ΔLt-L0ν0ν0+Δνt+ϕ0.
ϕSt=Δπcν0 ΔLt+ϕ0+ϕs,
νt=c2L0ϕS2π=FSRϕs2π=FSRtstFSR,
Δνtt=VtGHV REO,

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