Journal ArticleDOI
Focusing of electromagnetic waves by paraboloid mirrors. I. Theory
Peter Varga,Peter Török +1 more
TLDR
The solution shows that for an infinite paraboloid the confinement of the focused energy worsens, with the energy distribution spreading in the focal plane, and the structure of the field distribution in the vicinity of the focus strongly depends on the wavelength of the illumination.Abstract:
We derive a solution to the problem of a plane electromagnetic wave focused by a parabolic mirror. The solution is obtained from the Stratton-Chu integral by solving a boundary-value problem. Our solution can be considered self-consistent. We also derive the far-field, i.e., Debye, approximation of our formulas. The solution shows that when the paraboloid is infinite, its focusing properties exhibit a dispersive behavior; that is, the structure of the field distribution in the vicinity of the focus strongly depends on the wavelength of the illumination. We show that for an infinite paraboloid the confinement of the focused energy worsens, with the energy distribution spreading in the focal plane. 2000 Optical Society of America [S0740-3232(00)01309-0] OCIS codes: 260.0260, 260.2110, 050.1960, 260.5430.read more
Citations
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Journal ArticleDOI
Generation and characterization of the highest laser intensities (10(22) W/cm2).
S.-W. Bahk,Pascal Rousseau,Thomas A. Planchon,Vladimir Chvykov,Galina Kalintchenko,Anatoly Maksimchuk,Gerard Mourou,V. Yanovsky +7 more
TL;DR: In this paper, a record peak intensity of 0.7×1022 W/cm2 was achieved by focusing a 45-TW laser beam with an f/0.6 off-axis paraboloid.
Proceedings Article
Generation and characterization of the highest laser intensities (1022 W/cm2)
Seung-Whan Bahk,Pascal Rousseau,Thomas A. Planchon,Vladimir Chvykov,Galina Kalintchenko,Anatoly Maksimchuk,Gerard Mourou,Victor Yanovsky +7 more
Journal ArticleDOI
A high numerical aperture parabolic mirror as imaging device for confocal microscopy.
M. A. Lieb,Alfred J. Meixner +1 more
TL;DR: Vector field calculations of the electric fields near focus for both linear and radially polarized illumination show that a high NA parabolic mirror allows an easy orientation of the polarization of the illuminating light in all spatial directions.
Journal ArticleDOI
Needles of longitudinally polarized light: guidelines for minimum spot size and tunable axial extent
TL;DR: This paper presents analytical expressions for the electric field of such a nearly nondiffracting, subwavelength beam obtained with a parabolic mirror or an aplanatic lens and proposes a practical solution to produce a needle of longitudinally polarized light with a tunable axial extent and a transverse width reaching the theoretical limit of 0.36λ.
Journal ArticleDOI
A new 4π geometry optimized for focusing on an atom with a dipole-like radiation pattern
Norbert Lindlein,Robert Maiwald,Hildegard Konermann,Markus Sondermann,Ulf Peschel,Gerd Leuchs +5 more
TL;DR: In this article, a combination of a parabolic mirror and a diffractive optical element is used to focus electromagnetic radiation onto an atom, which is as close to the full solid angle as possible.
References
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Journal ArticleDOI
Electromagnetic Diffraction in Optical Systems. II. Structure of the Image Field in an Aplanatic System
B. Richards,Emil Wolf +1 more
TL;DR: In this article, an investigation of the structure of the electromagnetic field near the focus of an aplanatic system which images a point source is made, and the results are illustrated by diagrams and in a tabulated form based on data obtained by extensive calculations on an electronic computor.
Journal ArticleDOI
Electromagnetic Diffraction in Optical Systems. I. An Integral Representation of the Image Field
TL;DR: In this article, an integral representation for the electromagnetic field in the image space of an optical system is obtained in the form of an angular spectrum of plane waves, which is closely related to that introduced by Luneberg (1944) as a vector generalization of well-known formulae of Debye (1909) and Picht (1925).
Journal ArticleDOI
Diffraction Theory of Electromagnetic Waves
Julius Adams Stratton,L. J. Chu +1 more
TL;DR: In this paper, a vector analog of Green's theorem is applied to the calculation of diffraction of electromagnetic waves from a rectangular slit in a screen of infinite conductivity, and the results are compared with an exact solution obtained recently by Morse and Rubenstein.
Journal ArticleDOI
Electromagnetic diffraction of light focused through a planar interface between materials of mismatched refractive indices: an integral representation
TL;DR: In this paper, the diffraction problem for a planar interface between two isotropic and homogeneous materials with this interface perpendicular to the optical axis is solved in a rigorous mathematical manner, and it satisfies the homogeneous wave equation.
Journal ArticleDOI
Three-dimensional intensity distribution near the focus in systems of different Fresnel numbers
TL;DR: In this article, qualitative and quantitative arguments are presented that elucidate the modifications that the whole three-dimensional structure of the diffracted field undergoes as the Fresnel number is gradually decreased, and contours of equal intensity in the focal region are presented for systems of selected Fresnel numbers, which focus uniform waves.
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Electromagnetic Diffraction in Optical Systems. II. Structure of the Image Field in an Aplanatic System
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A high numerical aperture parabolic mirror as imaging device for confocal microscopy.
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