Strehl ratio with low sensitivity to spherical aberration

Ojeda‐Castañeda, J.; Andrés, Pedro; Díaz, Aníbal Nieto

doi:10.1364/josaa.5.001233

Cited by 16 publications

(7 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The formula in Eq. (9) is similar to the classical one obtained by Ojeda-Castañeda et al 4,5 in a paraxial context. Here we have shown that the same formula, but obtained through a much more general nonlinear mapping, can be applied to describe the focusing properties of high-NA scanning optical instruments.…”

Section: Axial Intensity Distributionsupporting

confidence: 88%

“…(9). 5 Note, however, that in the high-NA case the axial intensity profiles are not symmetric about that point. This is due to the ͱ cos factor that arises from the energy projection from a plane to the surface of a sphere, inherent in the fulfillment of the sine condition.…”

Section: Axial Intensity Distributionmentioning

confidence: 97%

“…The search for strategies for reduction of the spherical aberration (SA) effect in the performance of optical instruments has been the aim of important research efforts, such as in the early work by Tsujiuchi, 1 where some methods for compensation of SA in paraxial imaging systems were analyzed, and in the work by Barakat and Houston, 2 where the SA-balancing relation is obtained for the case of annularly apertured paraxial imaging systems. More recently, and still within the context of paraxial imaging, the use of shaded [3][4][5][6] or phase 7 pupil apertures has been proposed for reduction of the SA influence. Although phase apertures are usually more appropriate than shaded apertures due to their higher light throughput, they have the drawback that their performance is strongly degraded when the illumination wavelength changes.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Reduction of the spherical aberration effect in high-numerical-aperture optical scanning instruments

et al. 2006

View full text Add to dashboard Cite

In modern high-numerical-aperture (NA) optical scanning instruments, such as scanning microscopes, optical data storage systems, or laser trapping technology, the beam emerging from the high-NA objective focuses deeply through an interface between two media of different refractive index. Such a refractive index mismatch introduces an important amount of spherical aberration, which increases dynamically when scanning at increasing depths. This effect strongly degrades the instrument performance. Although in the past few years many different techniques have been reported to reduce the spherical aberration effect, no optimum solution has been found. Here we concentrate on a technique whose main feature is its simplicity. We refer to the use of purely absorbing beam-shaping elements, which with a minimum modification of optical architecture will allow a significant reduction of the spherical aberration effect. Specifically, we will show that an adequately designed reversed-Gaussian aperture permits the production of a focal spot whose form changes very slowly with the spherical aberration.

show abstract

Section: Axial Intensity Distributionsupporting

confidence: 88%

Section: Axial Intensity Distributionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Reduction of the spherical aberration effect in high-numerical-aperture optical scanning instruments

et al. 2006

View full text Add to dashboard Cite

show abstract

“…For optical alignment, micro machining and confocal scanning it is desirable to shape the point spread function of an optical system. Specifically, for engineering the axial irradiance distribution it is convenient to exploit the McCutchen theorem, which relates through a Fourier transformation the axial complex amplitude distribution with the angular average of the generalized pupil function [1][2][3][4][5][6][7][8][9][10][11][12].…”

mentioning

confidence: 99%

Tunable axial bursts using annularly distributed phase masks

Castañeda

Ledesma

Sarabia

2012

Photon. Lett. Poland

View full text Add to dashboard Cite

show abstract

“…For these situations there is only one diffraction focus. 7 However, when D (and therefore spherical aberration as well) is increased, there are different points on the optical axis with maximum axial irradiance (there is more than one diffraction focus), and the number of these points increases when aberration increases too.…”

mentioning

confidence: 99%

Axial irradiance for spherically aberrated holographic optical elements

Carretero

Fimia

1994

Opt. Lett.

View full text Add to dashboard Cite

The effect of third-order balanced spherical aberration on the axial irradiance of holographic lenses is considered. It is shown that the number of principal maxima of axial irradiance increases for large aberrations, and the position of these points can be different from the position of the minimum aberration variance point.The properties and characteristics of the axial irradiance of optical systems have been the subject of several papers published over the past few years. '-9 When aberrations are present the principal maximum of the axial irradiance lies not at the Gaussian image point but at an axial point closer to it (for large Fresnel numbers). However, the axial irradiance distribution has not been sufficiently studied for optical systems with large aberrations, such as holographic optical elements. In this Letter we obtain the axial irradiance for holographic lenses (HL's) with a circular pupil (and analyze certain properties of this irradiance) from a knowledge of its third-order spherical aberration. We consider HL's in the presence not only of small but also of large spherical aberrations.For simplicity, we consider a spherically aberrated in-line HL with a uniformly illuminated circular pupil with a diameter D. Its axial irradiance at a distance z from the exit pupil plane of the holographic lens, I(z), i.e., the irradiance distribution along the line joining the center of the hologram and the Gaussian image point (z axis for an in-line HL), may be written as 5( 1) whereIn Eqs. (1) and (2) where ( and + and -refer to the situations for which W 40 > 0 (S < 0) and W 40 < 0 (S > 0), respectively. The axial irradiance I(z) can be obtained analytically from Eqs.(1), (6), and (7), and when the integration is carried out the result obtained is I (Z) =4W I ( i) 2 [Cu2) -C(ul)]'+ [S(u 2 ) -S(Ul)]2, where C(*) and S( ) are the Fresnel integrals."0146-9592/94/181477-03$6.00/0

show abstract

Strehl ratio with low sensitivity to spherical aberration

Cited by 16 publications

References 11 publications

Reduction of the spherical aberration effect in high-numerical-aperture optical scanning instruments

Reduction of the spherical aberration effect in high-numerical-aperture optical scanning instruments

Tunable axial bursts using annularly distributed phase masks

Axial irradiance for spherically aberrated holographic optical elements

Contact Info

Product

Resources

About