Multiple plane-wave scattering analysis of light diffraction by parallel Raman–Nath and Bragg ultrasonic cells with arbitrary frequency ratios

Chatterjee, Monish Ranjan; Chen, Shih-Tun

doi:10.1364/josaa.11.000637

Cited by 9 publications

(1 citation statement)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A direct although lengthy calculus following Fujiwara's procedure [18], where use is made of the residue theorem and the Fourier integral representation for the Green's function (13), leads to the following expression for the amplitude C 1 :…”

Section: Calculation Of the Scattered ®Eld Amplitude In The ®Rst Ordementioning

confidence: 99%

Multiple scattering of classical electromagnetic waves by volume gratings: completion of Fujiwara's solution

Cheben

Calvo

1999

Journal of Modern Optics

View full text Add to dashboard Cite

We present a general formulation for multiple scattering of classical electromagnetic waves by volume gratings. Fujiwara's electron multiple scattering theory is modi®ed and extended to the case of both, the transmission and the re¯ection geometries. The analytical solution for the amplitude C n corresponding to the nth scattering order is given. The convergence of the solution is proved for the transmission by a sinusoidal symmetric phase grating. By employing a structural Green's function and a vectorial formulation for di raction of a classical electromagnetic wave by a thin periodical slab, as previously given by A Â lvarez-Estrada and Calvo, the solution for the back scattered ®eld amplitude is derived and shown to coincide with that obtained within the framework of the multiple scattering theory. IntroductionThe di raction of an electromagnetic wave by a volume di raction grating is a phenomenon which has been extensively studied within various di erent theoretical frameworks and for various applications. The coupled wave theories [1±3], the modal theories [4,5], and the electromagnetic theory of gratings [6] have been succesfully used to solve a great variety of physical problems related to the volume grating di raction. However, owing to the mathematical complexity of the di raction problem, rigorous analytical solutions are still not su ciently developed and various numerical algorithms are currently employed in order to solve the problem. Moreover, the application of the numerical methods is often restricted to periodic, homogeneous and planar volume gratings.In 1977 Calvo [7] demonstrated that multiple scattering theories (MSTs) based on integral equation formalism for the electromagnetic ®eld, lead to general analytical solutions for the scattered ®eld amplitude. The multiple scattering theories developed for volume holography [8, 9] and acousto-optic di raction gratings [10±14] are based on the Batterman and Cole theory [15] for X-ray di raction by crystals, and on the Cowley and Moodie [16, 17] and Fujiwara's [18] theories for scattering of electrons by atoms and crystal's lattices. Their main

show abstract

Section: Calculation Of the Scattered ®Eld Amplitude In The ®Rst Ordementioning

confidence: 99%

Multiple scattering of classical electromagnetic waves by volume gratings: completion of Fujiwara's solution

Cheben

Calvo

1999

Journal of Modern Optics

View full text Add to dashboard Cite

show abstract

Periodic variations of intensity of diffraction orders in Raman-Nath diffraction

Weng

2021

Optik

View full text Add to dashboard Cite

Beam splitting, combining, and cross coupling through multiple superimposed volume-index gratings

Zhao¹,

Shen²,

Xia³

2001

Optics & Laser Technology

View full text Add to dashboard Cite

Multiple plane-wave scattering analysis of light diffraction by parallel Raman–Nath and Bragg ultrasonic cells with arbitrary frequency ratios

Cited by 9 publications

References 10 publications

Multiple scattering of classical electromagnetic waves by volume gratings: completion of Fujiwara's solution

Multiple scattering of classical electromagnetic waves by volume gratings: completion of Fujiwara's solution

Periodic variations of intensity of diffraction orders in Raman-Nath diffraction

Beam splitting, combining, and cross coupling through multiple superimposed volume-index gratings

Contact Info

Product

Resources

About