Browsing by Keywords "Optical systems"
Now showing items 1-20 of 21
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Accumulated Gouy phase shift in Gaussian beam propagation through first-order optical systems
(Optical Society of America, 1997-09)We define the accumulated Gouy phase shift as the on-axis phase accumulated by a Gaussian beam in passing through an optical system, in excess of the phase accumulated by a plane wave. We give an expression for the accumulated ... -
Canonical-covariant Wigner function in polar form
(OSA - The Optical Society, 2000)The two-dimensional Wigner function was investigated in polar canonical coordinates. The covariance properties under the action of affine canonical transformations were derived. The polar canonical phase-space representations ... -
Compact optical temporal processors
(Optical Society of America, 1995)Optical signal processing can be done with time-lens devices. A temporal processor based on chirp-z transformers is suggested. This configuration is more compact than a conventional 4-f temporal processor. On the basis of ... -
Cumulant-based parametric multichannel FIR system identification methods
(Elsevier, 1994)In this paper, “least squares” and recursive methods for simultaneous identification of four nonminimum phase linear, time-invariant FIR systems are presented. The methods utilize the second- and fourth-order cumulants of ... -
Degrees of freedom of optical systems and signals with applications to sampling and system simulation
(Optical Society of America, 2013)We study the degrees of freedom of optical systems and signals based on space-frequency (phase space) analysis. At the heart of this study is the relationship of the linear canonical transform domains to the space-frequency ... -
Design of dynamically adjustable anamorphic fractional Fourier transformer
(Elsevier BV * North-Holland, 1997-03-01)We form optical systems by using only free space portions and cylindrical lenses, and consider these systems as anamorphic fractional Fourier transformers. We dynamically adjust the transform order, scale factor and field ... -
Digital Fourier optics
(Optical Society of America, 1996-03-10)Analog Fourier optical processing systems can perform important classes of signal processing operations in parallel, but suffer from limited accuracy. Digital–optical equivalents of such systems could be built that share ... -
Energetic efficient synthesis of general mutual intensity distribution
(Institute of Physics Publishing, 2000)The mutual intensity distribution of a light beam may contain available information. The task of encoding a given mutual intensity distribution is addressed in this paper. Various approaches for encoding the mutual intensity ... -
Equivalence of linear canonical transform domains to fractional Fourier domains and the bicanonical width product: a generalization of the space-bandwidth product
(Optical Society of America, 2010-07-30)Linear canonical transforms (LCTs) form a three-parameter family of integral transforms with wide application in optics. We show that LCT domains correspond to scaled fractional Fourier domains and thus to scaled oblique ... -
EU NoE metamorphose: Metamaterials research activities
(SPIE, 2005)We will present the activities of METAMORPHOSE a network of excellence (NoE) formed under EU-FP6 on the area of metamaterials. The main scientific objective of the partners of this consortium is to develop new types of ... -
Fast and accurate algorithm for the computation of complex linear canonical transforms
(Optical Society of America, 2010-08-05)A fast and accurate algorithm is developed for the numerical computation of the family of complex linear canonical transforms (CLCTs), which represent the input-output relationship of complex quadratic-phase systems. ... -
Fast and accurate computation of two-dimensional non-separable quadratic-phase integrals
(Optical Society of America, 2010-05-12)We report a fast and accurate algorithm for numerical computation of two-dimensional non-separable linear canonical transforms (2D-NS-LCTs). Also known as quadratic-phase integrals, this class of integral transforms ... -
Fast and accurate linear canonical transform algorithms
(IEEE, 2015)Linear canonical transforms are encountered in many areas of science and engineering. Important transformations such as the fractional Fourier transform and the ordinary Fourier transform are special cases of this transform ... -
Fractional free space, fractional lenses, and fractional imaging systems
(OSA - The Optical Society, 2003)Continuum extensions of common dual pairs of operators are presented and consolidated, based on the fractional Fourier transform. In particular, the fractional chirp multiplication, fractional chirp convolution, and ... -
Interpretation of the space-bandwidth product as the entropy of distinct connection patterns in multifacet optical interconnection architectures
(Optical Society of America, 1993)We show that the entropy of the distinct connection patterns that are possible with multifacet optical interconnection architectures is approximately equal to the space-bandwidth product of the optical system. -
Linear canonical transforms, degrees of freedom, and sampling in optical signals and systems
(IEEE, 2014)We study the degrees of freedom of optical systems and signals based on space-frequency (phase-space) analysis. At the heart of this study is the relationship of the linear canonical transform domains to the space-frequency ... -
Optimal image restoration with the fractional Fourier transform
(OSA - The Optical Society, 1998-04)The classical Wiener filter, which can be implemented in O(N log N) time, is suited best for space-invariant degradation models and space-invariant signal and noise characteristics. For space-varying degradations and ... -
Phase-space window and degrees of freedom of optical systems with multiple apertures
(Optical Society of America., 2013)We show how to explicitly determine the space-frequency window (phase-space window) for optical systems consisting of an arbitrary sequence of lenses and apertures separated by arbitrary lengths of free space. If the ... -
Relationships among ray optical, Gaussian beam, and fractional Fourier transform descriptions of first-order optical systems
(Elsevier BV * North-Holland, 1997-11-01)Although wave optics is the standard method of analyzing systems composed of a sequence of lenses separated by arbitrary distances, it is often easier and more intuitive to ascertain the function and properties of such ... -
Toward an optimal foundation architecture for optoelectronic computing. Part I: Regularly interconnected device planes
(Optical Society of America, 1997-08-10)By systematically examining the tree of possibilities for optoelectronic computing architectures and offering arguments that allow one to prune suboptimal branches of this tree, I come to the conclusion that electronic ...