Abstract

We have demonstrated analytically and numerically that at least 10–100-fold enhancements in intensities for similar input energies can be achieved in the focal region of a thin dielectric lens by the use of pulsed beams specifically designed for that purpose.

© 1994 Optical Society of America

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References

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  1. G. Mainfray, C. Manus, H. Brandi, T. Lehner, T. Auguste, P. Monot, in Programme et Resumes des Journées Maxwell, J.-F. Eloi, ed. (CEA/CESTA, Bordeaux, 1993), p. 37.
  2. J. J. Stamnes, Waves in Focal Regions (Hilger, Bristol, UK, 1986).
  3. A. Yariv, Quantum Electronics, 2nd ed. (Wiley, New York, 1975), pp. 113–117.
  4. R. W. Ziolkowski, IEEE Antennas Propag. 40, 888 (1992).
    [Crossref]
  5. R. W. Ziolkowski, J. B. Judkins, J. Opt. Soc. Am. A 9, 2021 (1992).
    [Crossref]
  6. D. B. Davidson, R. W. Ziolkowski, “Body-of-revolution finite-difference time-domain modeling of space–time focusing by a three-dimensional lens,” J. Opt. Soc. Am. A (to be published).
  7. G. C. Sherman, J. Opt. Soc. Am. A 6, 1382 (1989).
    [Crossref]
  8. Zs. Bor, Z. L. Horváth, Opt. Commun. 94, 249 (1992).
    [Crossref]
  9. A.M. Weiner, S. Oudin, D. E. Leaird, D. H. Reitze, J. Opt. Soc. Am. A 10, 1112 (1993).
    [Crossref]

1993 (1)

1992 (3)

Zs. Bor, Z. L. Horváth, Opt. Commun. 94, 249 (1992).
[Crossref]

R. W. Ziolkowski, IEEE Antennas Propag. 40, 888 (1992).
[Crossref]

R. W. Ziolkowski, J. B. Judkins, J. Opt. Soc. Am. A 9, 2021 (1992).
[Crossref]

1989 (1)

Auguste, T.

G. Mainfray, C. Manus, H. Brandi, T. Lehner, T. Auguste, P. Monot, in Programme et Resumes des Journées Maxwell, J.-F. Eloi, ed. (CEA/CESTA, Bordeaux, 1993), p. 37.

Bor, Zs.

Zs. Bor, Z. L. Horváth, Opt. Commun. 94, 249 (1992).
[Crossref]

Brandi, H.

G. Mainfray, C. Manus, H. Brandi, T. Lehner, T. Auguste, P. Monot, in Programme et Resumes des Journées Maxwell, J.-F. Eloi, ed. (CEA/CESTA, Bordeaux, 1993), p. 37.

Davidson, D. B.

D. B. Davidson, R. W. Ziolkowski, “Body-of-revolution finite-difference time-domain modeling of space–time focusing by a three-dimensional lens,” J. Opt. Soc. Am. A (to be published).

Horváth, Z. L.

Zs. Bor, Z. L. Horváth, Opt. Commun. 94, 249 (1992).
[Crossref]

Judkins, J. B.

Leaird, D. E.

Lehner, T.

G. Mainfray, C. Manus, H. Brandi, T. Lehner, T. Auguste, P. Monot, in Programme et Resumes des Journées Maxwell, J.-F. Eloi, ed. (CEA/CESTA, Bordeaux, 1993), p. 37.

Mainfray, G.

G. Mainfray, C. Manus, H. Brandi, T. Lehner, T. Auguste, P. Monot, in Programme et Resumes des Journées Maxwell, J.-F. Eloi, ed. (CEA/CESTA, Bordeaux, 1993), p. 37.

Manus, C.

G. Mainfray, C. Manus, H. Brandi, T. Lehner, T. Auguste, P. Monot, in Programme et Resumes des Journées Maxwell, J.-F. Eloi, ed. (CEA/CESTA, Bordeaux, 1993), p. 37.

Monot, P.

G. Mainfray, C. Manus, H. Brandi, T. Lehner, T. Auguste, P. Monot, in Programme et Resumes des Journées Maxwell, J.-F. Eloi, ed. (CEA/CESTA, Bordeaux, 1993), p. 37.

Oudin, S.

Reitze, D. H.

Sherman, G. C.

Stamnes, J. J.

J. J. Stamnes, Waves in Focal Regions (Hilger, Bristol, UK, 1986).

Weiner, A.M.

Yariv, A.

A. Yariv, Quantum Electronics, 2nd ed. (Wiley, New York, 1975), pp. 113–117.

Ziolkowski, R. W.

R. W. Ziolkowski, IEEE Antennas Propag. 40, 888 (1992).
[Crossref]

R. W. Ziolkowski, J. B. Judkins, J. Opt. Soc. Am. A 9, 2021 (1992).
[Crossref]

D. B. Davidson, R. W. Ziolkowski, “Body-of-revolution finite-difference time-domain modeling of space–time focusing by a three-dimensional lens,” J. Opt. Soc. Am. A (to be published).

IEEE Antennas Propag. (1)

R. W. Ziolkowski, IEEE Antennas Propag. 40, 888 (1992).
[Crossref]

J. Opt. Soc. Am. A (3)

Opt. Commun. (1)

Zs. Bor, Z. L. Horváth, Opt. Commun. 94, 249 (1992).
[Crossref]

Other (4)

D. B. Davidson, R. W. Ziolkowski, “Body-of-revolution finite-difference time-domain modeling of space–time focusing by a three-dimensional lens,” J. Opt. Soc. Am. A (to be published).

G. Mainfray, C. Manus, H. Brandi, T. Lehner, T. Auguste, P. Monot, in Programme et Resumes des Journées Maxwell, J.-F. Eloi, ed. (CEA/CESTA, Bordeaux, 1993), p. 37.

J. J. Stamnes, Waves in Focal Regions (Hilger, Bristol, UK, 1986).

A. Yariv, Quantum Electronics, 2nd ed. (Wiley, New York, 1975), pp. 113–117.

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Figures (4)

Fig. 1.
Fig. 1.

UWB IE, the 10-cycle, and the 1-cycle pulses used in the lens-focused pulsed-beam simulations plotted as functions of time.

Fig. 2.
Fig. 2.

Fourier power spectra of the UWB IE, the 10-cycle, and the 1-cycle pulses used in the lens-focused pulsed-beam simulations plotted as functions of the frequency.

Fig. 3.
Fig. 3.

Intensity enhancements near the focal region for the UWB IE, the 10-cycle, and the 1-cycle pulsed beams focused by the thin dielectric lens plotted as functions of the distance along the propagation axis.

Fig. 4.
Fig. 4.

Waists near the focal region of the UWB IE, the 10-cycle, and the 1-cycle pulsed beams focused by the thin dielectric lens plotted as functions of the distance along the propagation axis.

Equations (6)

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ω rad 2 = d t | F ( t ) / t | 2 d t | F ( t ) | 2 = d ω ω 2 | F ˜ ( ω ) | 2 d ω | F ˜ ( ω ) | 2 .
g ( ρ = 0 , ϕ , z = f , t ) E 0 L G f 1 ω rad × { 1 exp [ ( α / w 0 ) 2 ] } t F ( t f / c ) .
F A enrg { 1 exp [ ( α / w 0 ) 2 ] } 2 ( L G / f ) 2 .
F A int ϒ int F A enrg ,
ϒ int max t | F ( t ) / t | 2 ω rad 2 .
F IE ( t ) = { ( 1 x 2 ) 4 x = 1.0 + t / T 1  for  0 t T 1 1 + 2 ( 1 x 2 ) 4 x = ( t T 2 ) / ( T 2 T 1 )  for  T 1 t T 2 ( 1 x 2 ) 4 x = ( t T 2 ) / ( T 3 T 2 )  for  T 2 t T 3 .

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