Journal ArticleDOI
Extended Nijboer–Zernike representation of the vector field in the focal region of an aberrated high-aperture optical system
TLDR
In this article, the authors present expressions for the electric field components in the focal region in the case of a high-numerical-aperture optical system, where the transmission function, the aberrations, and the spatially varying state of polarization of the wave exiting the optical system are represented in terms of a Zernike polynomial expansion over the exit pupil of the system.Abstract:
Taking the classical Ignatowsky/Richards and Wolf formulas as our starting point, we present expressions for the electric field components in the focal region in the case of a high-numerical-aperture optical system. The transmission function, the aberrations, and the spatially varying state of polarization of the wave exiting the optical system are represented in terms of a Zernike polynomial expansion over the exit pupil of the system; a set of generally complex coefficients is needed for a full description of the field in the exit pupil. The field components in the focal region are obtained by means of the evaluation of a set of basic integrals that all allow an analytic treatment; the expressions for the field components show an explicit dependence on the complex coefficients that characterize the optical system. The electric energy density and the power flow in the aberrated three-dimensional distribution in the focal region are obtained with the expressions for the electric and magnetic field components. Some examples of aberrated focal distributions are presented, and some basic characteristics are discussed.read more
Citations
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Book ChapterDOI
Assessment of optical systems by means of point-spread functions
TL;DR: In this paper, the authors presented the computation of the point-spread function of optical imaging systems and the characterization of these systems by means of the measured three-dimensional structure of the PFF, which is a nonlinear function of the basic electromagnetic field components in the focal region.
Journal ArticleDOI
Computational methods in vectorial imaging
Matthew R. Foreman,Peter Török +1 more
TL;DR: In this article, a generalisation of the Jones calculus and ray tracing methods are shown to conveniently and accurately allow rigorous studies of high numerical aperture confocal and conventional polarised light microscopes, imaging samples of arbitrary complexity.
Patent
High density optical data storage
TL;DR: In this article, the first end of the array includes multiple optical fiber ends, each optical fiber end having an end face adapted for receiving light of a wavelength λ into the fiber for conveyance to the second end of a fiber array.
Journal ArticleDOI
High-density optical data storage
TL;DR: In this paper, the authors briefly address the historical development of optical data storage and some recent developments towards higher density such as nonlinear recording methods and systems with a numerical aperture larger than unity.
Journal ArticleDOI
Nonparaxial propagation of spirally polarized optical beams.
TL;DR: The free-propagation features of light beams whose transverse electric field lines are logarithmic spirals are investigated and it is found that for such beams, the propagated longitudinal electric field can be expressed as a simple superposition of elegant Laguerre-Gaussian beams.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Book
Principles of Optics
TL;DR: In this paper, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.
Principles of Optics
TL;DR: In this article, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.
Journal ArticleDOI
Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes.
TL;DR: Laser light with a Laguerre-Gaussian amplitude distribution is found to have a well-defined orbital angular momentum and an astigmatic optical system may be used to transform a high-order LaguERre- Gaussian mode into aHigh-order Hermite-Gaussia mode reversibly.
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.
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Electromagnetic Diffraction in Optical Systems. II. Structure of the Image Field in an Aplanatic System
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