Astigmatic-Invariant Structured Singular Beams
نویسندگان
چکیده
We investigate the transformation of structured Laguerre–Gaussian (sLG) beams after passing through a cylindrical lens. The resulting beam, ab astigmatic (asLG) depends on quantum numbers (n,ℓ) and three parameters. Two them are control parameters initial sLG amplitude ϵ phase θ. third one is ratio Rayleigh length z0 focal f It was theoretically revealed experimentally confirmed that asLG beam keeps intensity shape when satisfy simple conditions: unity tangent parameter θ/2 equal to above ratio. also found sharp bursts dips orbital angular momentum (OAM) in vicinity point where OAM turns zero. heights depths these significantly exceed maximum minimum values controlled by radial number n.
منابع مشابه
The complex structured singular value
A tutorial introduction to the complex structured singular value (μ) is presented, with an emphasis on the mathematical aspects of μ. The μ-based methods discussed here have been useful for analyzing the performance and robustness properties of linear feedback systems. Several tests for robust stability and performance with computable bounds for transfer functions and their state-space realizat...
متن کاملScattering of singular beams by subwavelength objects.
In recent years, there has been a mounting interest in better methods of measuring nanoscale objects, especially in fields such as nanotechnology, biomedicine, cleantech, and microelectronics. Conventional methods have proved insufficient, due to the classical diffraction limit or slow and complicated measuring procedures. The purpose of this paper is to explore the special characteristics of s...
متن کاملPropagation-invariant beams with quantum pendulum spectra: from Bessel beams to Gaussian beam-beams.
We describe a new class of propagation-invariant light beams with Fourier transform given by an eigenfunction of the quantum mechanical pendulum. These beams, whose spectra (restricted to a circle) are doubly periodic Mathieu functions in azimuth, depend on a field strength parameter. When the parameter is zero, pendulum beams are Bessel beams, and as the parameter approaches infinity, they res...
متن کاملInvariant theory for singular α-determinants
From the irreducible decompositions’ point of view, the structure of the cyclic GLn(C)-module generated by the α-determinant degenerates when α = ± 1 k (1 ≤ k ≤ n − 1) (see [6]). In this paper, we show that − 1 k -determinant shares similar properties which the ordinary determinant possesses. From this fact, one can define a new (relative) invariant called a wreath determinant. Using (GLm, GLn)...
متن کاملDetermination of 3D-region of interest using digital in-line holography with astigmatic Gaussian beams
An experimental method to visualize a 3D-region of interest (ROI) by means of an astigmatic Gaussian beam is proposed. This method allows to reduce the amount of image planes to be reconstructed thus saving computational time. ROI determination is performed without any computational step: particles that are located in the ROI can be distinguished from the others according to the hyperbolic shap...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Photonics
سال: 2022
ISSN: ['2304-6732']
DOI: https://doi.org/10.3390/photonics9110842