Elements of Photonics, Volume I

Iizuka, Keigo

doi:10.1002/0471221074

Cited by 71 publications

(72 citation statements)

References 58 publications

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“…An incident Gaussian beam with spatial distribution of ( ) and beam waist of (in the focal plane), can be expressed in a Cartesian coordinate system as [50],…”

Section: Incident Gaussian Fieldmentioning

confidence: 99%

“…where is the beam amplitude, √ , the wavenumber is defined as Furthermore, the phase of a Gaussian beam propagating in free space is given by [50] …”

Section: Incident Gaussian Fieldmentioning

confidence: 99%

“…where ( ) , the first term is the phase term of a plane wave, the second term a phase shift in the transverse position, and the last term is the Gouy phase shift, which controls the phase shift within and in the vicinity of the Rayleigh range ( ), and is unique to Gaussian beams [50].…”

Section: Incident Gaussian Fieldmentioning

confidence: 99%

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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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“…An incident Gaussian beam with spatial distribution of ( ) and beam waist of (in the focal plane), can be expressed in a Cartesian coordinate system as [50],…”

Section: Incident Gaussian Fieldmentioning

confidence: 99%

“…where is the beam amplitude, √ , the wavenumber is defined as Furthermore, the phase of a Gaussian beam propagating in free space is given by [50] …”

Section: Incident Gaussian Fieldmentioning

confidence: 99%

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

Azarpeyvand

2013

Journal of Sound and Vibration

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“…These features not only enlarge the tuning range, but also have capabilities to improve the filter finesse. Equation (1) gives the mathematical expression of FPOTF transmittivity [32].…”

Section: Mems Floating Fpotf (F-fpotf) Configurationmentioning

confidence: 99%

Wide Range of Electrostatic Actuation Mems Fpotf

Ngajikin

Kassim²,

Mohammad³

et al. 2009

PIER C

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Abstract-By employing Microelectromechanical system (MEMS) technology, Fabry-Perot Optical Tunable Filter (FPOTF) with hybrid tuning mechanism, varying d and altering incident angle is presented. The proposed structure consists of a floating dual membrane FPOTF with capability to be tuned at different light incident angles. Three electrostatic cavities have been designed to perform this task independently. This technique is capable to increase the tuning range up to 2/3 of capacitance gap with additional doubly range of incident angle. Optic, mechanic and electrostatic analysis of the proposed structure has been validated by simulation. Analysis in optical performance shows the tuning range enhancement is about 1.92% for ±2 • mirror tilting at 6 • initial angle compared to conventional dual beam MEMS FPOTF. This analysis validates the principle of hybrid tuning method.

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“…Since the fundamental mode is that with the largest propagation constant at fixed frequency, the fundamental mode is even and the second mode is odd for a planar structure. 1 For the layered structure in Fig. 1(b) the sign of I'-is not fixed.…”

mentioning

confidence: 97%

Modes of coupled photonic crystal waveguides

et al. 2004

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We consider the modes of coupled photonic crystal waveguides. We find that the fundamental modes of these structures can be either even or odd. in contrast with the behavior in coupled conventional waveguides, in which the fundamental mode is always even. We explain this finding using an asymptotic model that is valid for long wavelengths.© 2004 Optical Society of America OCIS codes: 130.2790, 230.7370. 050.1960 Coupled waveguides (CWs) occur in many optical devices, For example, the key element of directional couplers consists of two waveguides that are closely spaced to allow energy exchange. CWs have been studied both in conventional guided wave structures' and in photonic crystals.I:"The latter have received much recent attention with the claim that short coupling lengths, the length over which energy couples between the guides, can be achieved, providing the promise of compact devices.An issue that has arisen is that of the bound modes of CWs. In symmetric conventional planar structures, the fundamental mode is even and the second mode is odd.' The equivalent issue for photonic crystal waveguides, which does not affect their operation as a directional coupler, is not so well understood. Boscolo et al. 3 argued that the fundamental coupled waveguide mode (CWM) is even, as in planar structures.However, here we show that for some structures the fundamental CWM is even or odd, depending on the guides' spacing. To illustrate the features of different geometries we use three examples, shown in Fig. 1. In all three cases we consider the polarization in which the electric field is orthogonal to the figure, The first [ Fig. 1(a)] is conventional planar CWs. The second geometry [ Fig. 1(b)] is CWs in a layered Bragg structure (period d). Finally [ Fig. 1(c)] we consider CWs in twodimensional photonic crystals with a square lattice of period d. The last two structures act only as waveguides and thus support only CWMs for frequencies within a bandgap of the periodic structure.The analysis of the three structures initially proceeds in a common way. The key outcome of this analysis is Eq. (8) ere ,8p = ,80 + 271' P / d are the direction sines of these orders, Xp = (k 2 -{3p2)1/2, where k is the wave number, are the associated direction cosines, and Yois a reference plane, taken to be the top dashed line in R~, representing the reflection off the semi-infinite structures surrounding the guides, is a scalar for the planar and the layered geometries and a square matrix for the two-dimensional photonic crystal. The same is true for RN and TN, indicating the reflection and transmission, respectively, of the barrier between the guides, which consists of N layers.Given these definitions, we continue the analysis by relating the fields in Fig. 1: r.-= R~Pr. + , r.+ = RNPf : -+ TNPh + , -Here P is the operator that propagates the field between the dashed lines in Fig. lover guide width h. Since the guides are uniform, the field can be written as a plane wave for the planar and the layered geometries and as a plane-wave superpo...

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Elements of Photonics, Volume I

Cited by 71 publications

References 58 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

Wide Range of Electrostatic Actuation Mems Fpotf

Modes of coupled photonic crystal waveguides

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