The Rayleigh hypothesis in the theory of reflection by a grating
暂无分享,去创建一个
In this paper, the Rayleigh hypothesis in the theory of reflection by a grating is investigated analytically. Conditions are derived under which the Rayleigh hypothesis is rigorously valid. A procedure is presented that enables the validity of the Rayleigh hypothesis to be checked for a grating whose profile can be described by an analytic function. As examples, we consider some grating profiles described by a finite Fourier series. Numerical results are then presented.
[1] M. Nevière,et al. Sur la validite du developpement de Rayleigh , 1970 .
[2] B. A. Lippmann,et al. Note on the Theory of Gratings , 1953 .
[3] Lord Rayleigh,et al. On the Dynamical Theory of Gratings , 1907 .
[4] R. F. Millar. Singularities of two-dimensional exterior solutions of the Helmholtz equation , 1971, Mathematical Proceedings of the Cambridge Philosophical Society.