Bragg diffraction of Gaussian beams by periodically modulated media*

Chu, Ruey-Shi; Tamir, T.

doi:10.1364/josa.66.000220

Cited by 61 publications

(17 citation statements)

References 8 publications

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“…These amplitudes are the same as the plane wave amplitudes derived by Chu and Tamir [7][8] for incidence close to a Bragg angle. After determining A(k, 0) as the inverse Fourier transform of a(x, 0) substitute (11) into (8).…”

Section: Bragg-fresnel Diffraction Integralssupporting

confidence: 67%

“…This approach offers a simple physical interpretation of wave phenomena inside the modulated region . There are a number of ways to analyse the propagation of waves inside the grating based on assumptions and approximations associated with the method of obtaining coupled-wave equations and solving them [1][2][3][4][5][6][7][8] . The first-order two-wave equations are the simplest [1][2][3][7][8] .…”

Section: Introductionmentioning

confidence: 99%

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Fresnel Approximation in Coupled Wave Diffraction Analysis for Spatially Periodic Media

Jasiński¹

1990

Journal of Modern Optics

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Section: Bragg-fresnel Diffraction Integralssupporting

confidence: 67%

Section: Introductionmentioning

confidence: 99%

Fresnel Approximation in Coupled Wave Diffraction Analysis for Spatially Periodic Media

Jasiński¹

1990

Journal of Modern Optics

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“…Evidence of such distortion can be observed in Fourier transformation of the LIGS signals as higher harmonics on the fundamental acoustic frequency [188]. Other practical issues have been addressed including the effects of opacity of the medium [190], finite grating extent [182], Gaussian beam profiles [191], and the one dimensional model has been extended to 3-dimensions [192].…”

Section: Analysis Of Ligs Signals Practical Considerationsmentioning

confidence: 99%

Laser diagnostics and minor species detection in combustion using resonant four-wave mixing

Kiefer

Ewart

2011

Progress in Energy and Combustion Science

129

112

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Laser-based methods have transformed combustion diagnostics in the past few decades. The high intensity, coherence, high spectral resolution and frequency tunability available from laser radiation has provided powerful tools for studying microscopic processes and macroscopic phenomena in combustion by linear and nonlinear optical processes. This review focuses on nonlinear optical techniques based on resonant four-wave mixing for non-intrusive measurements of minor species in combustion. The importance of minor species such as reaction intermediates is outlined together with the challenges they present for detection and measurement in the hostile environments of flames, technical combustors, and engines. The limitations of conventional optical methods for such measurements are described and the particular advantages of coherent methods using nonlinear optical techniques are discussed.The basic physics underlying four-wave wave mixing processes and theoretical models for signal calculation are then presented together with a discussion of how combustion parameters may be derived from analysis of signals generated in various four-wave mixing processes. The most important four-wave mixing processes, in this context, are then reviewed:Degenerate Four-Wave Mixing (DFWM), Coherent Anti-Stokes Raman Scattering (CARS), Laser Induced Grating Spectroscopy (LIGS) and Polarization Spectroscopy (PS). In each case the fundamental physics is outlined to explain the particular properties and diagnostic advantages of each technique. The application of the methods mentioned to molecular physics studies of combustion species is then reviewed along with their application in measurement of concentration, temperature and other combustion parameters. Related nonlinear techniques and recent extensions to the ultra-fast regime are briefly reviewed. Finally practical considerations relevant to multi-dimensional and multi-species measurements, as well as applications in technical combustion systems are discussed.Keywords: nonlinear optical spectroscopy, four-wave mixing, combustion diagnostics, minor species detection, laser-induced gratings, polarization spectroscopy IntroductionEnergy from renewable sources such as solar and wind power is the goal of much current research and technological development. Combustion, however, is and is likely to remain for the foreseeable future, the most important energy source for heat, electrical power and especially for transportation. In technical combustion systems the chemical energy of fossil fuels such as coal, crude oil and natural gas is converted into heat through oxidation with oxygen from air. However, fossil fuel resources are limited and alternatives like biofuels [1] or novel technologies such as fuel cells [2] are not yet able to meet the demand. Consequently, for a sustainable use of fossil fuels it is desirable to further improve the efficiency, maintainability and reliability of existing combustion devices. Achieving such improvements depends upon an improved understanding of t...

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“…At the same time a MUX/DEMUX tunable from 4 to 8 or 8 to 16 channels around 1550 nm with improved performance is highly desirable for further cost reduction. Several papers have been published in the area of light-sound interaction, acousto-optic deflectors using acoustic beam steering and light diffraction by ultrasonic gratings [2][3][4][5][6][7]. Most of these researchers have focused their work from the optical signal processing point of view and not from tunable MUX/DEMUX aspect, especially using acousto-optic concept.…”

Section: Introductionmentioning

confidence: 99%

Acousto-optically Tuned MUX/DEMUX for DWDM Applications in Optical Communication

Rawat¹,

Naciri²,

Li³

et al. 2000

Journal of Optical Communications

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In this paper an acousto-optically tuned MUX/DEMUX for DWDM application has been investigated. An acousto-optic cell array system is used to deflect the optical beam depending on the wavelengths at high speed by using first order diffraction. These deflections are controlled by changing the rf driving frequency of the acoustic-optic cell array system. This system has low insertion loss, less cross-talk and is free from the grating wavelength drifts due to thermal variations. The numerical results for system efficiency, wavelength tuning range and acoustic frequency-optical wavelength relationship have been obtained.

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Bragg diffraction of Gaussian beams by periodically modulated media*

Cited by 61 publications

References 8 publications

Fresnel Approximation in Coupled Wave Diffraction Analysis for Spatially Periodic Media

Fresnel Approximation in Coupled Wave Diffraction Analysis for Spatially Periodic Media

Laser diagnostics and minor species detection in combustion using resonant four-wave mixing

Acousto-optically Tuned MUX/DEMUX for DWDM Applications in Optical Communication

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