1972
DOI: 10.1364/ao.11.000565
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Parametric Study of Apertured Focused Gaussian Beams

Abstract: Using Fresnel diffraction integrals, calculations have been made of the irradiance and power distributions in the near field and in the vicinity of the focus for Gaussian beams focused through annular apertures. Universal curves have been plotted which display the calculations in terms of dimensionless parameters. For very large focal length infrared systems it has been found that the irradiance distribution is not symmetrical about the geometrical focal plane as is commonly assumed. Gaussian and sinusoidal ph… Show more

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Cited by 78 publications
(12 citation statements)
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“…However, when N is small the distribution of light on either side of the focus becomes asymmetrical. In particular, the peak of the axial intensity moves closer to the lens than is predicted by geometric optics (Holmes et al, 1972; Li and Wolf, 1981; Stavenga, 2003). At visible wavelengths N for the human eye is large, but that is not true in the infrared range.…”
Section: Adaptive Advantages Of a Fovea?mentioning
confidence: 87%
“…However, when N is small the distribution of light on either side of the focus becomes asymmetrical. In particular, the peak of the axial intensity moves closer to the lens than is predicted by geometric optics (Holmes et al, 1972; Li and Wolf, 1981; Stavenga, 2003). At visible wavelengths N for the human eye is large, but that is not true in the infrared range.…”
Section: Adaptive Advantages Of a Fovea?mentioning
confidence: 87%
“…On the other hand, it has been shown that when a plane wave is focused by a circular aperture lens with a very low Fresnel number, the position of the maximum intensity is not at the geometric focus of the lens, but at a point somewhat closer to the lens. This effect is commonly known as the focal shift [15][16][17][18][19] and has received a lot of attention [20,21]. Most of the investigations are confined to the vacuum or homogeneous media, while the case of inhomogeneous media attracts little interest.…”
Section: Introductionmentioning
confidence: 99%
“…The three-dimensional irradiance distribution in low-Fresnel-number focusing systems has been analytically evaluated [5,6], and experimental evidence of the presence of a focal shift has been reported elsewhere [7,8]. Much more previously it had been found that a very similar phenomenon also exists if the focused beam is an unapertured [9] or a truncated Gaussian laser beam [10], but only after Li and Wolf studies has been recognized that the relative focal shift can be expressed in terms of an effective Fresnel number [11,12].…”
Section: Introductionmentioning
confidence: 99%