Abstract

The theoretical model for an off-Bragg on-axis conversion between a Gaussian beam with cylindrical phase function and a plane wave by a volume aperiodic nonplanar inhomogeneous holographic grating is presented. A two-wave first-order coupled-wave theoretical framework is adopted. Analytical solutions for the amplitudes of two space harmonics of the field inside the grating zone are derived. Both the chromatic and the geometric deviations from the exact Bragg condition are studied. Numerical evaluations show that some anomalous phenomena (Pendellösung fringes, angle amplification effect, achromatism) can arise. High diffraction efficiency (≈1) is predicted even for relatively large off-Bragg deviations. The deterioration of the reconstruction fidelity due to the Pendellösung effect is discussed.

© 1996 Optical Society of America

Wave-front conversion between a Gaussian beam with a cylindrical phase function and a plane wave in a monomode on-axis transmission holographic coupler

Pavel Cheben and María L. Calvo
J. Opt. Soc. Am. A 10(12) 2573-2580 (1993)

Evanescent wave coupling in light scattering of an off-axis normally incident Gaussian beam by two parallel nonabsorbing cylinders

André G. Simão, Luiz G. Guimarães, and José P. R. F. de Mendonça
J. Opt. Soc. Am. A 19(10) 2053-2063 (2002)

Wave-amplitude synthesis applied to Gaussian-beam scattering by an off-axis sphere

Dimitrios P. Chrissoulidis and Elodie Richalot
J. Opt. Soc. Am. A 34(4) 558-567 (2017)

Diffraction properties of volume holographic diffusers

Claire Gu, Jenn-Ren Lien, Foster Dai, and John Hong
J. Opt. Soc. Am. A 13(8) 1704-1711 (1996)

Electromagnetic scattering for a uniaxial anisotropic sphere in an off-axis obliquely incident Gaussian beam

Qiong-kun Yuan, Zhen-sen Wu, and Zheng-jun Li
J. Opt. Soc. Am. A 27(6) 1457-1465 (2010)