Focusing non-truncated elliptical Gaussian beams

Li, Yajun

doi:10.1016/0030-4018(88)90224-6

Cited by 12 publications

(4 citation statements)

References 7 publications

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“…To the best of our knowledge, focal shift of 3D waves has been studied only experimentally for circular apertures or circular Gaussian beams ( 4 – 7 ). In the noncircular case, one can obviously no longer use a single Fresnel number, and theoretical reports describe how the axial intensity distribution can be computed from two Fresnel numbers, as first introduced for Gaussian elliptical beams ( 25 ). It is our purpose here to investigate experimentally the axial intensity profile when the circular symmetry of the aperture or the field is broken.…”

Section: Astigmatic Focal Shift Expected For Noncircular Aperturesmentioning

confidence: 99%

How to better focus waves by considering symmetry and information loss

Lou

Granick

Amblard

2018

Proc. Natl. Acad. Sci. U.S.A.

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SignificanceWith applications from electromagnetic communications, to biological and astronomical imaging, to lithography and warfare, waves transmit information, and optimal wave focusing is essential. Here we demonstrate the need to amend the belief that spherical or cylindrical wavefronts necessarily focus at their center of curvature. Instead the effective focus shifts toward the source with decreasing apertures, producing astigmatism when, as increasingly shown for modern applications, the wavefronts are not axially symmetric. This leads to significant degradation of axial resolution in nonaxisymmetric light-focusing applications. These conclusions, derived from diffraction theory and validated by application to optical bioimaging, offer a general strategy to likewise improve the resolution of virtually any other wave-based application whose efficacy depends on focusing energy to points or lines.

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Section: Astigmatic Focal Shift Expected For Noncircular Aperturesmentioning

confidence: 99%

How to better focus waves by considering symmetry and information loss

Lou

Granick

Amblard

2018

Proc. Natl. Acad. Sci. U.S.A.

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“…However, profiting from the radial symmetry of p r ðr 0 Þ and according to Eqs. (13) and (14) it is possible to straightforwardly obtain this function giving …”

Section: Bessel-gauss Beammentioning

confidence: 99%

“…For instance, Li [13] studied the axial behavior in the focal region of spherical non-truncated elliptical Gaussian beams. The existence of two irradiance peaks was explained by defining two Gaussian Fresnel numbers associated to the minor and major axes of the elliptical Gaussian beam.…”

Section: Introductionmentioning

confidence: 99%

“…The existence of two irradiance peaks was explained by defining two Gaussian Fresnel numbers associated to the minor and major axes of the elliptical Gaussian beam. In fact, this situation is encountered in other optical systems such as diffracting lenses that generate a great number of foci Optics Communications 216 (2003) [11][12][13][14][15][16][17] www.elsevier.com/locate/optcom along the optical axis. In this case, a multiple focal shift and focal switch may be presented under low Fresnel numbers associated with every focus [14].…”

Section: Introductionmentioning

confidence: 99%

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Focal shift in optical waves with off-axis focus

Zapata–Rodríguez

Saavedra

Martı́nez-Corral

2003

Optics Communications

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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.

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