Results 71 to 80 of about 165,948 (320)
On the Evaluation of Bessel Functions
AbstractIn the present paper we describe an algorithm for the evaluation of Bessel functions Jν(x), Yν(x) and H(j)ν(x) (j = 1, 2) of arbitrary positive orders and arguments at a constant CPU time. The algorithm employs Taylor series, the Debye asymptotic expansions, and numerical evaluation of the Sommerfeld integral, and is based on the following two ...
openaire +2 more sources
Fiber Bragg Gratings with Micro‐Engineered Temperature Coefficients
Fiber Bragg gratings (FBGs) are intrinsically responsive to temperature and strain simultaneously. In this research, low‐loss FBGs with micro‐engineered temperature coefficients are fabricated, utilizing refractive index liquid‐filled microchannels in the cladding.
Zipei Song+8 more
wiley +1 more source
Certain fractional kinetic equations involving the product of generalized k-Bessel function
We develop a new and further generalized form of the fractional kinetic equation involving the product of the generalized k-Bessel function. The manifold generality of the generalized k-Bessel function is discussed in terms of the solution of the ...
Praveen Agarwal+2 more
doaj +1 more source
Scattering theory without large-distance asymptotics
In conventional scattering theory, to obtain an explicit result, one imposes a precondition that the distance between target and observer is infinite. With the help of this precondition, one can asymptotically replace the Hankel function and the Bessel ...
Dai, Wu-Sheng, Li, Wen-Du, Liu, Tong
core +1 more source
Inequalities for Bessel functions
AbstractWe derive some inequalities for the cylinder function Cν(x, α) defined by Cv(x,α)=Jv(x)cos α-Yv(x)sin α, 0 ...
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Spin‐Orbit Photonics with Potato Starch Lenses
Native potato starch spherulites are introduced as volumetric optical elements that modulate both dynamic and geometric phases of light. These spherulites focus light and generate optical vortices via spin‐orbit interaction, functioning as polarization‐sensitive microlenses. Their unique radial anisotropy enables applications in vortex beam generation,
Petr Bouchal+4 more
wiley +1 more source
Excitation‐Wavelength‐Tunable Lasing in Individual Quantum Dot Superparticles
Mesoscale superparticles assembled from CdSe quantum dots are shown to behave as microlasers with emission properties that can be tuned by changing the excitation wavelength. Abstract Microcavities enable precise control over light‐matter interactions, supporting a wide range of applications in photonics and optoelectronics.
Marco Reale+5 more
wiley +1 more source
A Trade‐Off between Pulse Energy and Stability in Seeded Free‐Electron Lasers
Seeded free‐electron lasers (FELs) require balancing competing factors for optimal performance. This work analyzes how dispersion strength influences output in high‐gain harmonic generation. Results reveal a trade‐off: maximizing pulse energy often comes at the cost of reduced stability and vice versa.
Li Zeng+4 more
wiley +1 more source
Computation of Hyperspherical Bessel Functions [PDF]
AbstractIn this paper we present a fast and accurate numerical algorithm for the computation of hyperspherical Bessel functions of large order and real arguments. For the hyperspherical Bessel functions of closed type, no stable algorithm existed so far due to the lack of a backwards recurrence.
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Scanning electron microscopy and white‐light reflectance images of the pillar‐supported distributed Bragg reflector (DBR) are presented before and after thermal shrinkage. The DBR, fabricated via two‐photon polymerization, consists of alternating high‐ and low‐index layers supported by vertical pillars.
Yu‐Shao Jacky Chen+4 more
wiley +1 more source