Focal shift in optical waves with off-axis focus

We present a formulation for a suitable description of the focal shift in optical waves that have an off-axis focus. This shift that is primarily produced along the chief axis is given in terms of the focal distance and depends only on a parameter that is named as the generalized Fresnel number. Any non-uniform, either truncated and non-apertured optical beam with off-axis focus may be considered.

[1]  Yajun Li,et al.  Focal shift and focal switch in dual-focus systems , 1997 .

[2]  Donald L. Snyder,et al.  Imaging a randomly moving object from quantum-limited data: applications to image recovery from second- and third-order autocorrelations , 1991 .

[3]  Yajun Li,et al.  An Experimental Investigation of Diffraction Patterns in Low-fresnel-number Focusing Systems , 1983 .

[4]  W. H. Carter,et al.  Focal shift and concept of effective Fresnel number for a Gaussian laser beam. , 1982, Applied optics.

[5]  Z. Bouchal,et al.  Bessel beams in the focal region , 1995 .

[6]  M. Santarsiero Propagation of generalized Bessel-Gauss beams through ABCD optical systems , 1996 .

[7]  Bin Zhang,et al.  Focusing properties of Bessel beams , 1996 .

[8]  P. Avizonis,et al.  Parametric study of apertured focused gaussian beams. , 1972, Applied optics.

[9]  B. Lü,et al.  Focal shift in unapertured Bessel-Gauss beams , 1994 .

[10]  Andrew G. Glen,et al.  APPL , 2001 .

[11]  J. P. Woerdman,et al.  Measurement of the three-dimensional intensity distribution in the neighborhood of a paraxial focus. , 1997, Applied optics.

[12]  B. Lü,et al.  Three-dimensional intensity distribution of focused Bessel-Gauss beams , 1996 .

[13]  E. Wolf,et al.  Focal shifts in diffracted converging spherical waves , 1981 .

[14]  A. Arimoto Intensity Distribution of Aberration-free Diffraction Patterns Due to Circular Apertures in Large F-number Optical Systems , 1976 .

[15]  M. Martínez-Corral,et al.  Inverse focal shift: A new effect in truncated cylindrical waves , 1999 .

[16]  Yajun Li Focusing non-truncated elliptical gaussian beams , 1988 .

[17]  J. Goodman Introduction to Fourier optics , 1969 .

[18]  T. A. Wiggins,et al.  Production and uses of diffractionless beams , 1991 .

[19]  J. Stamnes,et al.  Focusing at small angular apertures in the debye and Kirchhoff approximations , 1981 .

[20]  Pedro Andrés,et al.  Effective Fresnel-number concept for evaluating the relative focal shift in focused beams , 1998 .

[21]  E. Wolf,et al.  Three-dimensional intensity distribution near the focus in systems of different Fresnel numbers , 1984 .

[22]  C. Palma,et al.  Decentered Gaussian beams, ray bundles, and Bessel-Gauss beams. , 1997, Applied optics.

[23]  J. Erkkila,et al.  Diffracted fields in the focal volume of a converging wave , 1981 .

[24]  E. Wolf,et al.  Symmetry properties of focused fields. , 1980, Optics letters.

[25]  Toshimitsu Asakura,et al.  Focusing a Gaussian laser beam without focal shift , 1994 .