The plane wave expansion, infinite integrals and identities involving spherical Bessel functions

Mehrem, Rami

doi:10.1016/j.amc.2010.12.004

Cited by 35 publications

(24 citation statements)

References 15 publications

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“…The plane wave expansion (PWE) method [16] was used to calculate the photonic bandgap. Magnetic fluid photonic crystal was comprised of magnetic columns (medium pillars) and carried liquid (background medium).…”

Section: Theoretical Analysis and Simulation Methodsmentioning

confidence: 99%

Theoretical Research on Tunable Slow Light Property of a Novel Magnetic Fluid Photonic Crystal

Zhao¹,

Ying

et al. 2014

J. Lightwave Technol.

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Magnetic nanoparticles in magnetic fluid film can be agglomerated to form a new type of magnetic fluid photonic crystal when magnetic field is applied perpendicular to the surface of the film. The lattice constant of the magnetic fluid photonic crystal can be tuned by changing the intensity of the applied magnetic field. In this paper, photonic bandgap of the magnetic fluid photonic crystal was analyzed theoretically, and it exhibited better magnetic tunability when the sweep rate of applied magnetic field was 2 Oe/s. Then, a magnetic fluid photonic crystal waveguide was presented, and slow light was generated. The effect of the applied magnetic field on slow light was studied based on experimental data. The results showed that group velocity below 0.35c could be obtained, and the shift of working wavelength with magnetic field intensity was the most obvious when the sweep rate of applied magnetic field was 10 Oe/s. Compared with traditional photonic crystals, the magnetic fluid photonic crystal exhibited the advantage of better magnetic tunability and easier formation, it would be potentially applied to the fabrication of new optoelectronic device. Index Terms-Magnetic fluid photonic crystal, optoelectronic device, slow light, waveguide.0733-8724 a Full Professor. As a Leader of his research group, his current research interests are the development of fiber-optic sensors and device, fiber Bragg grating sensors, novel sensor materials and principles, slow light and sensor technology, and optical measurement technologies. He has authored and coauthored more than 160 scientific papers and conference presentations, 28 patents, and 4 books.

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Section: Theoretical Analysis and Simulation Methodsmentioning

confidence: 99%

Theoretical Research on Tunable Slow Light Property of a Novel Magnetic Fluid Photonic Crystal

Zhao¹,

Ying

et al. 2014

J. Lightwave Technol.

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“…In particular, for all terms with n > 0,

j_{n} false(k r false) = 0

and out of the first 5 terms only a single one has a nonzero (

j_{1}^{^{'}} (0) = 0.33 false)

contribution for the derivative part. [ 22 ]…”

Section: Aperture Magnetic Dipole Emittermentioning

confidence: 99%

Giant Microwave Spontaneous Emission Enhancements in Planar Aperture Waveguide Structures

et al. 2021

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Microwave interactions are an invaluable tool for probing atomic states of matter and are currently being extensively explored for the development of scalable quantum computing. However, many of the available methods for spectroscopic analysis and photonic quantum manipulations are inaccessible for microwaves due to the weak spontaneous emission of quantum emitters. In this work, a mechanism for giant resonant enhancement of spontaneous emission from magnetic dipole emitters is suggested that employs a new phenomenon of near field impedance cancellation via magnetic flux confinement. Enhancements of at least 1011 are theoretically shown for structures with 100 nm features, and much greater potential enhancements are predicted with this method. Subsequently, the realization of integrated systems with enhanced quantum emitters using microwave spoof plasmon waveguides is demonstrated. Taken together, these findings will pave the way for microwave quantum photonics and microwave hybrid quantum computing.

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“…To reduce the number of operations, we use a method that "uncouples"r and r 0 .We consider using the plane wave expansion [51] to separate the near-field position vector and the scattering direction in the term exp À ikr Ur 0 À Á :…”

Section: Volume Integration Algorithm For Fdtdmentioning

confidence: 99%

Enhancement of the computational efficiency of the near-to-far field mapping in the finite-difference method and ray-by-ray method with the fast multi-pole plane wave expansion approach

Tang

Yang

Sun

et al. 2016

Journal of Quantitative Spectroscopy and Radiative Transfer

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a b s t r a c tThe finite-difference time-domain (FDTD) and ray-by-ray (RBR) methods are techniques used to calculate the optical properties of nonspherical particles for small-to-moderate and large size parameters, respectively. The former is a rigorous method, and the latter is an approximate geometric-physical optics-hybrid method that takes advantage of both high efficiency of the geometric optics approach and high accuracy of the physical optics approach. In these two methods, the far field is calculated by mapping the near field to the far field with consideration of the phase interference. The mapping computation is more time-consuming than the near-field simulation when multiple scattering directions are involved, particularly in the case of the RBR implementation. To overcome the difficulty, in this study the fast multi-pole method is applied to both FDTD and RBR towards accelerating the far-field calculation, without degrading the accuracy of the simulation results.

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The plane wave expansion, infinite integrals and identities involving spherical Bessel functions

Cited by 35 publications

References 15 publications

Theoretical Research on Tunable Slow Light Property of a Novel Magnetic Fluid Photonic Crystal

Theoretical Research on Tunable Slow Light Property of a Novel Magnetic Fluid Photonic Crystal

Giant Microwave Spontaneous Emission Enhancements in Planar Aperture Waveguide Structures

Enhancement of the computational efficiency of the near-to-far field mapping in the finite-difference method and ray-by-ray method with the fast multi-pole plane wave expansion approach

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