Gaussian beam as a bundle of complex rays

Deschamps, G.

doi:10.1049/el:19710467

Cited by 530 publications

(232 citation statements)

References 6 publications

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“…The incident Gaussian beam, , with complex coordinate system, i.e. having amplitude and phase distribution, satisfies the following two-dimensional Helmholtz equation [46][47][48][49],…”

Section: Incident Gaussian Fieldmentioning

confidence: 99%

Acoustic radiation force on a rigid cylinder in a focused Gaussian beam

Azarpeyvand

2013

Journal of Sound and Vibration

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ABSTRACT-The acoustic radiation force resulting from a 2D focused Gaussian beam incident on cylindrical objects in an inviscid fluid is investigated analytically. The incident and the reflected sound fields are expressed in terms of cylindrical wave functions and a weighting parameter, describing the beam shape and its location relative to the particle.Our main interest here is to study the possibility of using Gaussian beams for axial and lateral handling of rigid cylindrical particles by exerting attractive forces, towards the beam source and axis, respectively. Results have been presented for Gaussian beams with different waist sizes and wavelengths and it has been shown that the interaction of a focused Gaussian beam with a rigid cylinder can result in attractive axial and lateral forces under specific operational conditions. Results have also revealed that attractive axial forces generally occur when the backscattering amplitude is suppressed. The results provided here may provide a theoretical basis for development of single-beam acoustic handling devices.

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“…The incident Gaussian beam, , with complex coordinate system, i.e. having amplitude and phase distribution, satisfies the following two-dimensional Helmholtz equation [46][47][48][49],…”

Section: Incident Gaussian Fieldmentioning

confidence: 99%

Acoustic radiation force on a rigid cylinder in a focused Gaussian beam

Azarpeyvand

2013

Journal of Sound and Vibration

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“…low frequency (<500 Hz), high frequency (>500 Hz) RI: range-independent environment RD: range-dependent environment [1,[9][10][11] 음선 기반의 음파 전달 알고리즘은 고전적인 음선 추적법과 가우시안 빔 추적법으로 나뉠 수 있다. [12][13][14] 고전적인 음선 추적법은 고주파수 근사 이론에 의해 …”

Section: 정영철 이근화 성우제 김형록unclassified

Development of Range-Dependent Ray Model for Sonar Simulator

Jung¹

2014

The Journal Of The Acoustical Society Of Korea

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Sound propagation algorithm for a sonar simulator is required to run in real-time and should be able to model the range and depth dependence of the Korean ocean environments. Ray model satisfies these requirements and we developed an algorithm for range-dependent ocean environments. In this algorithm, we considered depth-dependence of sound speed through rays based on a rectangular cell method and layer method. Range-dependence of sound speed was implemented based on a split-step method in the range direction. Eigen-ray is calculated through an interpolation of ray bundles and Gaussian interpolation function was used. The received time signal of sonar was simulated by Fourier transform of eigen-ray solution in the frequency domain. Finally, for the verification of proposed algorithm, we compared the results of transmission loss with other validated models such as BELLHOP, SNUPE, KRAKEN and OASES, for the Pekeris waveguide, wedge, and deep ocean environments. As a result, we obtained satisfactory agreements among them.

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“…(3) defines a multivalued function, the condition {R s } ≥ 0 must be imposed so that the radiated far field is an outgoing wave.) Such field configurations are called Complex Beams, (CB) [1,2]. In Eq.˙(2), the angles α i or θ i = π + α i define the beam axis direction, and b is related to the usual Gaussian beam waist width, W (see Fig.…”

Section: Figurementioning

confidence: 99%

“…2. The exact solution is determined by the functions H (1) 1 (k 0 R s0 ) and cos θ for TE polarization, and by the function H (1) 0 (k 0 R s0 ) for TM polarization. In Fig.…”

Section: Exact Solution and Ranges Of The Approximationsmentioning

confidence: 99%

“…This paper is devoted to present a concrete example of this philosophy, concerning the analytical continuation of the real location of a unit impulse source into a complex one (already proposed in the late 60's and the 70's; refer, for instance, to [1,2]), and the corresponding analytical continuation of the Green's function of real coordinates into complex coordinates, leading to complex radiation and propagation spaces. This procedure has been successfully applied to a wide variety of electromagnetic problems, specially those dealing with Gaussian beams, [3,4].…”

Section: Introductionmentioning

confidence: 99%

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Complex Analysis of the Induced Currents on a Perfectly Conducting Plane Under Complex Beam Incidence

González-Morales¹,

Gago-Ribas²,

Dehesa-Martínez³

2007

PIER

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Abstract-This paper is concerned with the analysis of the currents induced on a 2D infinite perfectly conducting plane illuminated by a complex beam obtained from the analytical continuation of the real location of a unit impulse source into a complex one. The main goal considering this well-known problem is to understand the meaning of the analytical continuation and the physical information underlying the complex quantities arising from it, and to investigate the capabilities of operating in complex spaces instead of the original real ones through a simple example. Several complex quantities directly related to this problem are analysed and translated into the real domain, leading to a clear and general description of all the possible behaviours of the currents. These results will provide some new insight to extend the complex analysis methodology to more complicated scattering problems. As expected, complex analysis appears to be a full-meaning tool to obtain parameterizations of EM problems, leading to more general solutions and their physical descriptions. 300González-Morales, Gago-Ribas, and Dehesa-Martínez

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Gaussian beam as a bundle of complex rays

Cited by 530 publications

References 6 publications

Acoustic radiation force on a rigid cylinder in a focused Gaussian beam

Acoustic radiation force on a rigid cylinder in a focused Gaussian beam

Development of Range-Dependent Ray Model for Sonar Simulator

Complex Analysis of the Induced Currents on a Perfectly Conducting Plane Under Complex Beam Incidence

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