Results 41 to 50 of about 2,012 (183)
Singular Electromagnetics: From Phase Singularities to Optical Skyrmions and Beyond
Advanced Physics Research, Volume 4, Issue 5, May 2025.Singular electromagnetics/optics studies multidimensional topological defects of electromagnetic fields (also known as optical singularities), including phase and polarization singularities, 3D singularities (e.g., optical skyrmions, merons, hopfions, knots, links, and Möbius strips), and even higher‐dimensional singularities.
Jie Yang +3 more
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The q-Laguerre matrix polynomials [PDF]
SpringerPlus, 2016 The Laguerre polynomials have been extended to Laguerre matrix polynomials by means of studying certain second-order matrix differential equation. In this paper, certain second-order matrix q-difference equation is investigated and solved. Its solution gives a generalized of the q-Laguerre polynomials in matrix variable.
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Structured Light Fields with 2D Tunable Indices Generated in a Raman Microchip Laser
Advanced Physics Research, Volume 4, Issue 5, May 2025.HGm,n modes with 2D tunable indices of m up to 14 and n up to 2 oscillated in a highly efficient Yb:YAG/YVO4 Raman microchip laser pumped with a rectangular beam with a suitable ratio of wx/wy. High‐order LGp,l optical vortices with 2D tunable radial index p up to 2, and azimuthal index up to 14 are converted with an astigmatic mode convertor ...
Ye Zhang +5 more
wiley +1 more source
Advantage of Non‐Gaussian Operations in Phase Estimation via Mach–Zehnder Interferometer
Advanced Quantum Technologies, Volume 8, Issue 5, May 2025.This research delves into the advantages rendered by probabilistic non‐Gaussian operations in phase estimation, using Mach–Zehnder interferometers with difference‐intensity and parity detection measurement schemes. An experimentally viable scheme is considered to implement three distinct non‐Gaussian operations, namely, photon subtraction, photon ...
Manali Verma +3 more
wiley +1 more source
Quantum Ghost Imaging by Sparse Spatial Mode Reconstruction
Advanced Quantum Technologies, Volume 8, Issue 5, May 2025.Hermite–Gaussian spatial modes are used in quantum ghost imaging for enhanced image reconstruction, by exploiting modal sparsity. By leveraging structured light as a basis for imaging, time‐efficient and high resolution quantum ghost imaging is achieved, paving the way for breakthroughs in low‐light, biological science applications.
Fazilah Nothlawala +4 more
wiley +1 more source
On the genus of generalized Laguerre polynomials
Journal of Algebra, 2005 Recently Hajir and Wong [unpublish paper mentioned in the reference] have proved that for \(n\geq 5\) and for any number field \(K\), the Galois group of \(L_n^{(\alpha)}(x)\) [generalised Laguerre polynomials] over \(K\) in \(S_n\) for all but finitely many \(\alpha\in K\).
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On a class of generalized Laguerre's polynomials [PDF]
Časopis pro pěstování matematiky, 1988 This paper deals with polynomials \(L_ n(x)\) orthonormal with respect to the weight function \(| x|^{2\alpha}(b+x)^{\beta}e^{-x}\) on \((a,+\infty)\), \(a\leq 0\), \(\alpha >0\), \(\beta >0\) and \(b+a>0\). The author uses techniques already known to \textit{J. A. Shohat} [Duke Math. J. 5, 401-417 (1939; Zbl 0021.30802)] to show that the coefficients \
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A study on fractional tumor-immune interaction model related to lung cancer via generalized Laguerre polynomials. [PDF]
BMC Med Res Methodol, 2023 Hassani H +6 more
europepmc +1 more source
Non-Linear Observer Design with Laguerre Polynomials. [PDF]
Entropy (Basel), 2022 Trigka M, Dritsas E.
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Counting words with Laguerre polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We develop a method for counting words subject to various restrictions by finding a combinatorial interpretation for a product of formal sums of Laguerre polynomials. We use this method to find the generating function for $k$-ary words avoiding any vincular pattern that has only ones.
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