Abstract

Stimulated photon echoes (three-pulse echoes) produced by broadband (incoherent) light pulses are discussed. A switching time corresponding to the reciprocal inhomogeneous width is predicted for the echo signal when the time interval between the first two time-overlapping, mutually coherent pulses is scanned across 0. The effect is demonstrated in an experiment performed with cesium vapor. A new method for fast sampling of atomic or molecular velocity distribution is proposed with potential applications to photodissociation and photofragmentation studies.

© 1986 Optical Society of America

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References

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  1. R. Beach, S. R. Hartman, “Incoherent photon echoes,” Phys. Rev. Lett. 53, 663–666 (1984).
    [CrossRef]
  2. S. Asaka, H. Nakatsuka, M. Fujiwara, M. Matsuoka, “Accumulated photon echoes with incoherent light in Nd3+-doped silicate glass,” Phys. Rev. A. 29, 2286–2289 (1984).
    [CrossRef]
  3. H. Nakatsuka, M. Tomita, M. Fujiwara, S. Asaka, “Sub-picosecond photon echoes by using nanosecond laser pulses,” Opt. Commun. 52, 150–152 (1984).
    [CrossRef]
  4. N. Morita, T. Yajima, “Ultrahigh-time-resolution coherent transient spectroscopy with incoherent light,” Phys. Rev. A. 30, 2525–2536 (1984).
    [CrossRef]
  5. M. Fujita, H. Nakatsuka, H. Nakanishi, M. Matsuoka, “Backward echo in two-level systems,” Phys. Rev. Lett. 42, 974–977 (1979).
    [CrossRef]
  6. T. W. Mossberg, R. Kachru, S. R. Hartmann, “Echoes in gaseous media: a generalized theory of rephasing phenomena,” Phys. Rev. A. 20, 1976–1996 (1979).
    [CrossRef]
  7. J. U. White, “Long optical paths of large aperture,” J. Opt. Soc. Am. 32, 285–288 (1942).
    [CrossRef]
  8. T. S. Rose, M. D. Fayer, “Probing gas-phase dynamics with picosecond transient grating spectroscopy,” Chem. Phys. Lett. 117, 12 (1985).
    [CrossRef]

1985 (1)

T. S. Rose, M. D. Fayer, “Probing gas-phase dynamics with picosecond transient grating spectroscopy,” Chem. Phys. Lett. 117, 12 (1985).
[CrossRef]

1984 (4)

R. Beach, S. R. Hartman, “Incoherent photon echoes,” Phys. Rev. Lett. 53, 663–666 (1984).
[CrossRef]

S. Asaka, H. Nakatsuka, M. Fujiwara, M. Matsuoka, “Accumulated photon echoes with incoherent light in Nd3+-doped silicate glass,” Phys. Rev. A. 29, 2286–2289 (1984).
[CrossRef]

H. Nakatsuka, M. Tomita, M. Fujiwara, S. Asaka, “Sub-picosecond photon echoes by using nanosecond laser pulses,” Opt. Commun. 52, 150–152 (1984).
[CrossRef]

N. Morita, T. Yajima, “Ultrahigh-time-resolution coherent transient spectroscopy with incoherent light,” Phys. Rev. A. 30, 2525–2536 (1984).
[CrossRef]

1979 (2)

M. Fujita, H. Nakatsuka, H. Nakanishi, M. Matsuoka, “Backward echo in two-level systems,” Phys. Rev. Lett. 42, 974–977 (1979).
[CrossRef]

T. W. Mossberg, R. Kachru, S. R. Hartmann, “Echoes in gaseous media: a generalized theory of rephasing phenomena,” Phys. Rev. A. 20, 1976–1996 (1979).
[CrossRef]

1942 (1)

Asaka, S.

S. Asaka, H. Nakatsuka, M. Fujiwara, M. Matsuoka, “Accumulated photon echoes with incoherent light in Nd3+-doped silicate glass,” Phys. Rev. A. 29, 2286–2289 (1984).
[CrossRef]

H. Nakatsuka, M. Tomita, M. Fujiwara, S. Asaka, “Sub-picosecond photon echoes by using nanosecond laser pulses,” Opt. Commun. 52, 150–152 (1984).
[CrossRef]

Beach, R.

R. Beach, S. R. Hartman, “Incoherent photon echoes,” Phys. Rev. Lett. 53, 663–666 (1984).
[CrossRef]

Fayer, M. D.

T. S. Rose, M. D. Fayer, “Probing gas-phase dynamics with picosecond transient grating spectroscopy,” Chem. Phys. Lett. 117, 12 (1985).
[CrossRef]

Fujita, M.

M. Fujita, H. Nakatsuka, H. Nakanishi, M. Matsuoka, “Backward echo in two-level systems,” Phys. Rev. Lett. 42, 974–977 (1979).
[CrossRef]

Fujiwara, M.

H. Nakatsuka, M. Tomita, M. Fujiwara, S. Asaka, “Sub-picosecond photon echoes by using nanosecond laser pulses,” Opt. Commun. 52, 150–152 (1984).
[CrossRef]

S. Asaka, H. Nakatsuka, M. Fujiwara, M. Matsuoka, “Accumulated photon echoes with incoherent light in Nd3+-doped silicate glass,” Phys. Rev. A. 29, 2286–2289 (1984).
[CrossRef]

Hartman, S. R.

R. Beach, S. R. Hartman, “Incoherent photon echoes,” Phys. Rev. Lett. 53, 663–666 (1984).
[CrossRef]

Hartmann, S. R.

T. W. Mossberg, R. Kachru, S. R. Hartmann, “Echoes in gaseous media: a generalized theory of rephasing phenomena,” Phys. Rev. A. 20, 1976–1996 (1979).
[CrossRef]

Kachru, R.

T. W. Mossberg, R. Kachru, S. R. Hartmann, “Echoes in gaseous media: a generalized theory of rephasing phenomena,” Phys. Rev. A. 20, 1976–1996 (1979).
[CrossRef]

Matsuoka, M.

S. Asaka, H. Nakatsuka, M. Fujiwara, M. Matsuoka, “Accumulated photon echoes with incoherent light in Nd3+-doped silicate glass,” Phys. Rev. A. 29, 2286–2289 (1984).
[CrossRef]

M. Fujita, H. Nakatsuka, H. Nakanishi, M. Matsuoka, “Backward echo in two-level systems,” Phys. Rev. Lett. 42, 974–977 (1979).
[CrossRef]

Morita, N.

N. Morita, T. Yajima, “Ultrahigh-time-resolution coherent transient spectroscopy with incoherent light,” Phys. Rev. A. 30, 2525–2536 (1984).
[CrossRef]

Mossberg, T. W.

T. W. Mossberg, R. Kachru, S. R. Hartmann, “Echoes in gaseous media: a generalized theory of rephasing phenomena,” Phys. Rev. A. 20, 1976–1996 (1979).
[CrossRef]

Nakanishi, H.

M. Fujita, H. Nakatsuka, H. Nakanishi, M. Matsuoka, “Backward echo in two-level systems,” Phys. Rev. Lett. 42, 974–977 (1979).
[CrossRef]

Nakatsuka, H.

H. Nakatsuka, M. Tomita, M. Fujiwara, S. Asaka, “Sub-picosecond photon echoes by using nanosecond laser pulses,” Opt. Commun. 52, 150–152 (1984).
[CrossRef]

S. Asaka, H. Nakatsuka, M. Fujiwara, M. Matsuoka, “Accumulated photon echoes with incoherent light in Nd3+-doped silicate glass,” Phys. Rev. A. 29, 2286–2289 (1984).
[CrossRef]

M. Fujita, H. Nakatsuka, H. Nakanishi, M. Matsuoka, “Backward echo in two-level systems,” Phys. Rev. Lett. 42, 974–977 (1979).
[CrossRef]

Rose, T. S.

T. S. Rose, M. D. Fayer, “Probing gas-phase dynamics with picosecond transient grating spectroscopy,” Chem. Phys. Lett. 117, 12 (1985).
[CrossRef]

Tomita, M.

H. Nakatsuka, M. Tomita, M. Fujiwara, S. Asaka, “Sub-picosecond photon echoes by using nanosecond laser pulses,” Opt. Commun. 52, 150–152 (1984).
[CrossRef]

White, J. U.

Yajima, T.

N. Morita, T. Yajima, “Ultrahigh-time-resolution coherent transient spectroscopy with incoherent light,” Phys. Rev. A. 30, 2525–2536 (1984).
[CrossRef]

Chem. Phys. Lett. (1)

T. S. Rose, M. D. Fayer, “Probing gas-phase dynamics with picosecond transient grating spectroscopy,” Chem. Phys. Lett. 117, 12 (1985).
[CrossRef]

J. Opt. Soc. Am. (1)

Opt. Commun. (1)

H. Nakatsuka, M. Tomita, M. Fujiwara, S. Asaka, “Sub-picosecond photon echoes by using nanosecond laser pulses,” Opt. Commun. 52, 150–152 (1984).
[CrossRef]

Phys. Rev. A. (3)

N. Morita, T. Yajima, “Ultrahigh-time-resolution coherent transient spectroscopy with incoherent light,” Phys. Rev. A. 30, 2525–2536 (1984).
[CrossRef]

S. Asaka, H. Nakatsuka, M. Fujiwara, M. Matsuoka, “Accumulated photon echoes with incoherent light in Nd3+-doped silicate glass,” Phys. Rev. A. 29, 2286–2289 (1984).
[CrossRef]

T. W. Mossberg, R. Kachru, S. R. Hartmann, “Echoes in gaseous media: a generalized theory of rephasing phenomena,” Phys. Rev. A. 20, 1976–1996 (1979).
[CrossRef]

Phys. Rev. Lett. (2)

R. Beach, S. R. Hartman, “Incoherent photon echoes,” Phys. Rev. Lett. 53, 663–666 (1984).
[CrossRef]

M. Fujita, H. Nakatsuka, H. Nakanishi, M. Matsuoka, “Backward echo in two-level systems,” Phys. Rev. Lett. 42, 974–977 (1979).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Directions and polarizations of the exciting light beams and of the echo.

Fig. 2
Fig. 2

Experimental setup: DC, dye cell; PD, photodiode; G.P., Glan polarizer; PC, Pockels cell; PM, photomultiplier.

Fig. 3
Fig. 3

Experimental (solid line) and calculated (open circles) curves for the echo intensity as a function of the time delay between the first two light pulses.

Equations (12)

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n a b ( 2 ) ( r , v ) = - 1 2 - + d t 0 d τ × exp [ i ( k 1 + k 2 ) · v 2 τ ] n a b ( 0 ) ( v ) × [ χ 1 * ( t ) χ 2 ( t - τ ) exp ( - i K · r ) + χ 2 * ( t ) χ 1 ( t - τ ) exp ( i K · r ) ] + c . c . ,
χ i ( t ) = E i ( t ) exp [ ϕ i ( t ) ] μ a b / 2 .
χ 2 ( t ) = χ 1 ( t - t 12 ) .
n a b ( 2 ) ( r , v ) = - S [ ( k 1 + k 2 ) · v 2 ] n a b ( 0 ) ( v ) × cos [ K · r + ( k 1 + k 2 ) v 2 t 12 ] ,
S ( Δ ) = - d τ e i Δ τ - d t χ 1 * ( t ) χ 1 ( t - τ ) .
ρ a b ( 3 ) ( r , v , t ) = i 2 - t d t χ 3 ( t ) × exp [ - i k 3 · r + i k 3 · v ( t - t ) ] n a b ( 2 ) ( r , v ) .
E ( r , t ) ~ 0 d τ χ 3 ( t - τ ) { n ^ a b ( 0 ) [ k ( τ - t 12 ) ] exp ( - i k e · r ) + n ^ a b ( 0 ) [ k ( τ + t 12 ) ] exp ( - i k e · r ) } S ( 0 ) ,
n ^ a b ( 0 ) [ k ( τ ± t 12 ) ] = d 3 v n a b ( 0 ) ( v ) exp [ i k ( τ ± t 12 ) v z ] .
W k e ~ - + d t 0 d τ 0 d τ χ 3 ( t - τ ) χ 3 * ( t - τ ) × n ^ a b ( 0 ) [ k ( τ - t 12 ) ] × n ^ a b ( 0 ) * [ k ( τ - t 12 ) ] , W k e ~ - + d t 0 d τ 0 d τ χ 3 ( t - τ ) χ 3 * ( t - τ ) × n ^ a b ( 0 ) [ k ( τ + t 12 ) ] × n ^ a b ( 0 ) * [ k ( τ + t 12 ) ] ,
W k e ~ - t 12 d τ n ^ a b ( 0 ) ( k τ ) 2 , W k e ~ t 12 d τ n ^ a b ( 0 ) ( k τ ) 2 .
{ W k e ~ - + d τ n ^ a b ( 0 ) ( k τ ) 2 when k u t 12 1 W k e ~ 0 ( Ω D t 12 1 ) , W k e = W k e             when t 12 = 0 , { W k e = 0 when k u t 12 - 1 W k e ~ - + d τ n ^ a b ( 0 ) ( k τ ) 2 ( Ω D t 12 - 1 ) ,
d d t 12 W k e ~ n ^ a b ( 0 ) ( - k t 12 ) 2 , d d t 12 W k e ~ n ^ a b ( 0 ) ( k t 12 ) 2 .

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