Abstract

Analysis of a combination zone plate and lens system is presented for the design of optical systems to focus ultrashort laser pulses. A system design that is free of propagation-time delay distortion and chromatic aberration is presented.

© 1992 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. Z. Bor, “Distortion of femtosecond laser pulses in lenses and lens systems,” J. Mod. Opt. 35, 1907–1918 (1988).
    [Crossref]
  2. Z. Bor, “Distortion of femtosecond laser pulses in lenses,” Opt. Lett. 14, 119–121 (1989).
    [Crossref] [PubMed]
  3. Z. Bor, B. Rácz, “Group velocity dispersion in prisms and its application to pulse compression and traveling-wave excitation,” Opt. Commun. 54, 165–170 (1985).
    [Crossref]
  4. S. Szatmári, G. Kühnle, “Pulse front and pulse duration distortion in refractive optics, and its compensation,” Opt. Commun. 69, 60–65 (1988).
    [Crossref]
  5. A. J. Taylor, R. B. Gibson, J. P. Roberts, C. R. Tallman, “Nonlinear absorption in ultraviolet window materials,” in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1988), paper WD1.
  6. S. Szatmári, F. P. Shäfer, “Simplified laser system for the generation of 60 fs pulses at 248 nm,” Opt. Commun. 68, 196–202 (1988).
    [Crossref]
  7. R. W. Ditchburn, Light (Academic, New York, 1976), pp. 174–181.
  8. Melles-Griot, Inc.,Optics Guide 5 (Melles-Griot, Irvine, Calif., 1990), pp. 1–21.

1989 (1)

1988 (3)

Z. Bor, “Distortion of femtosecond laser pulses in lenses and lens systems,” J. Mod. Opt. 35, 1907–1918 (1988).
[Crossref]

S. Szatmári, G. Kühnle, “Pulse front and pulse duration distortion in refractive optics, and its compensation,” Opt. Commun. 69, 60–65 (1988).
[Crossref]

S. Szatmári, F. P. Shäfer, “Simplified laser system for the generation of 60 fs pulses at 248 nm,” Opt. Commun. 68, 196–202 (1988).
[Crossref]

1985 (1)

Z. Bor, B. Rácz, “Group velocity dispersion in prisms and its application to pulse compression and traveling-wave excitation,” Opt. Commun. 54, 165–170 (1985).
[Crossref]

Bor, Z.

Z. Bor, “Distortion of femtosecond laser pulses in lenses,” Opt. Lett. 14, 119–121 (1989).
[Crossref] [PubMed]

Z. Bor, “Distortion of femtosecond laser pulses in lenses and lens systems,” J. Mod. Opt. 35, 1907–1918 (1988).
[Crossref]

Z. Bor, B. Rácz, “Group velocity dispersion in prisms and its application to pulse compression and traveling-wave excitation,” Opt. Commun. 54, 165–170 (1985).
[Crossref]

Ditchburn, R. W.

R. W. Ditchburn, Light (Academic, New York, 1976), pp. 174–181.

Gibson, R. B.

A. J. Taylor, R. B. Gibson, J. P. Roberts, C. R. Tallman, “Nonlinear absorption in ultraviolet window materials,” in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1988), paper WD1.

Kühnle, G.

S. Szatmári, G. Kühnle, “Pulse front and pulse duration distortion in refractive optics, and its compensation,” Opt. Commun. 69, 60–65 (1988).
[Crossref]

Rácz, B.

Z. Bor, B. Rácz, “Group velocity dispersion in prisms and its application to pulse compression and traveling-wave excitation,” Opt. Commun. 54, 165–170 (1985).
[Crossref]

Roberts, J. P.

A. J. Taylor, R. B. Gibson, J. P. Roberts, C. R. Tallman, “Nonlinear absorption in ultraviolet window materials,” in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1988), paper WD1.

Shäfer, F. P.

S. Szatmári, F. P. Shäfer, “Simplified laser system for the generation of 60 fs pulses at 248 nm,” Opt. Commun. 68, 196–202 (1988).
[Crossref]

Szatmári, S.

S. Szatmári, F. P. Shäfer, “Simplified laser system for the generation of 60 fs pulses at 248 nm,” Opt. Commun. 68, 196–202 (1988).
[Crossref]

S. Szatmári, G. Kühnle, “Pulse front and pulse duration distortion in refractive optics, and its compensation,” Opt. Commun. 69, 60–65 (1988).
[Crossref]

Tallman, C. R.

A. J. Taylor, R. B. Gibson, J. P. Roberts, C. R. Tallman, “Nonlinear absorption in ultraviolet window materials,” in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1988), paper WD1.

Taylor, A. J.

A. J. Taylor, R. B. Gibson, J. P. Roberts, C. R. Tallman, “Nonlinear absorption in ultraviolet window materials,” in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1988), paper WD1.

J. Mod. Opt. (1)

Z. Bor, “Distortion of femtosecond laser pulses in lenses and lens systems,” J. Mod. Opt. 35, 1907–1918 (1988).
[Crossref]

Opt. Commun. (3)

Z. Bor, B. Rácz, “Group velocity dispersion in prisms and its application to pulse compression and traveling-wave excitation,” Opt. Commun. 54, 165–170 (1985).
[Crossref]

S. Szatmári, G. Kühnle, “Pulse front and pulse duration distortion in refractive optics, and its compensation,” Opt. Commun. 69, 60–65 (1988).
[Crossref]

S. Szatmári, F. P. Shäfer, “Simplified laser system for the generation of 60 fs pulses at 248 nm,” Opt. Commun. 68, 196–202 (1988).
[Crossref]

Opt. Lett. (1)

Other (3)

R. W. Ditchburn, Light (Academic, New York, 1976), pp. 174–181.

Melles-Griot, Inc.,Optics Guide 5 (Melles-Griot, Irvine, Calif., 1990), pp. 1–21.

A. J. Taylor, R. B. Gibson, J. P. Roberts, C. R. Tallman, “Nonlinear absorption in ultraviolet window materials,” in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1988), paper WD1.

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 (7)

Fig. 1
Fig. 1

Illustration of the delay between the pulse front and the phase front after propagating through a lens. Rl is the radius of a marginal ray, rl is the radius of an arbitrary ray, and fl is the focal length of the lens. As indicated, the pulse front is delayed with respect to the phase front.

Fig. 2
Fig. 2

Illustration of the delay between the pulse front and the phase front after they propagate through a zone plate. Rz is the radius of a marginal ray, rz is the radius of an arbitrary ray, and fz is the focal length of the lens. As indicated, the pulse front travels ahead of the phase front, in contrast to the case for a lens.

Fig. 3
Fig. 3

Combination of a zone plate and a lens for focusing pulses with no propagation-time delay. With the zone plate prior to the lens, it could be possible to recover losses caused by the zone plate with the addition of an amplifier; however, the use of this combination is limited by longitudinal chromatic aberration.

Fig. 4
Fig. 4

Resultant focal length of the zone plate–lens pair (Fig. 3) versus combinations of the zone plate focal length and the lens focal length for 248-nm-wavelength radiation.

Fig. 5
Fig. 5

Resultant focal length of the zone plate–lens pair (Fig. 3) versus combinations of the zone plate focal length and the lens focal length for 490-nm-wavelength radiation.

Fig. 6
Fig. 6

Resultant focal length of the zone plate–lens pair (Fig. 3) versus combinations of the zone plate focal length and the lens focal length for 1064-nm-wavelength radiation.

Fig. 7
Fig. 7

Combination of a lens and a zone plate for focusing pulses with no propagation-time delay and no longitudinal chromatic aberration.

Equations (23)

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

Δ T ( r l ) = R l 2 - r l 2 2 f l c ( n - 1 ) ( - λ d n d λ ) ,
Δ T ( r l ) = R l 2 - r l 2 2 c f l 2 λ d f l d λ ,
ρ i = ρ 1 i ,
f z = ρ 1 2 λ .
d f z d λ = - f z λ .
Δ T ( r z ) = - R z 2 - r z 2 2 f c ,
Δ T ( r z ) = R z 2 - r z 2 2 c f z 2 λ d f z d λ .
0 = Δ T ( r z ) + Δ T ( r 1 ) = R z 2 - r z 2 2 c f z 2 λ d f z d λ + R l 2 - r l 2 2 c f l 2 λ d f 1 d λ .
r l = ( 1 - d f z ) r z ,
R l = ( 1 - d f z ) R z .
- 1 f z 2 d f z d λ = ( 1 - d f z ) 2 1 f l 2 d f l d λ ,
1 f z = 1 f l ( n l - 1 ) ( 1 - d f z ) 2 ( - λ d n l d λ ) .
K = ( n l - 1 ) ( - λ d n l d λ ) .
d = f z ( 1 - K f l f z ) ,
f ¯ = f l f z + d ( f z - d ) f l + f z - d .
r z = ( 1 - d f l ) r l ,
R z = ( 1 - d f l ) R l .
d = f l ( 1 - f z K f l )
f ¯ = f l f z + d ( f l - d ) f l + f z - d
d f l d λ = f l λ ( n - 1 ) ( - λ d n d λ ) = f l K λ
f z = f l K ,
d = f l ( K - 1 K ) ,
f ¯ = f l ( 2 K - 1 2 K ) .

Metrics