We propose an analytical model of the self-imaging of Gaussian beams and discuss the impact of the finite aperture and the beam truncation on the quality of the self-image reconstruction. Extension to polychromatic operation is then presented in the context of wavelength division multiplexing systems. From the first point we derive conditions for good self-imaging, compatible with the requirements of the telecommunication environment. A basic optical setup is then proposed to implement both wavelength demultiplexing and routing in a lensless configuration.
© 2002 Optical Society of America
(050.1940) Diffraction and gratings : Diffraction
(050.1960) Diffraction and gratings : Diffraction theory
(060.1810) Fiber optics and optical communications : Buffers, couplers, routers, switches, and multiplexers
V. Nourrit and J.-L. de Bougrenet de la Tocnaye, "Self-imaging properties of polychromatic Gaussian beams: application to wavelength demultiplexing and space routing," J. Opt. Soc. Am. A 19, 1360-1369 (2002)