Abstract
Novel thick grating focussing and de-focussing devices are described which employ uniform phase gratings with special boundary shapes. The analysis used is based upon an eigenmodal approach to Kogelnik's coupled-wave equations, akin to the dynamical theory of x-ray diffraction. The relationship between the direction of phase progression of the coupled-waves at Bragg incidence, and the direction of the Poynting vector is carefully delineated. As a consequence, a new technique-Poynting Vector Optics — is suggested as potentially an important means of designing thick gratings to fulfil certain beam processing roles, especially in integrated optics applications. The two-dimensional coupled-wave equations are briefly employed to illustrate the effectiveness of a particular focussing device.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
H. Kogelnik: Bell Syst. Technol. J.48, 2909 (1969)
See P. St. J. Russell: “Optical Volume Holography”, Physics Reports71, 209 (1981)
L. Solymar, M.P. Jordan: Opt. Quant. Electron.9, 437 (1977)
P.St.J. Russell: Opt. Acta27, 997 (1980)
P.St.J. Russell, L. Solymar: Appl. Phys.22, 335 (1980)
P.St.J. Russell: J. Opt. Soc. Am.69, 496 (1979)
B.W. Battermann, H. Cole: Rev. Mod. Phys.36, 681 (1964)
M. von Laue: Acta Cryst.5, 619 (1952)
N. Kato: Acta Cryst.11, 885 (1958)
M.G. Moharam, T.K. Gaylord, R. Magnusson: Opt. Commun.32, 14 (1980)