The first description of multiple-prism arrays, and multiple-prism dispersion, was given by Isaac Newton in his book Opticks, also introducing prisms as beam expanders.[1][2] Prism pair expanders were introduced by David Brewster in 1813.[3] A modern mathematical description of the single-prism dispersion was given by Max Born and Emil Wolf in 1959.[4] The generalized multiple-prism dispersion theory was introduced by F. J. Duarte and Piper[5][6] in 1982.
Multiple-prism beam expander grating configuration as used in narrow-linewidth tunable laser oscillators[7]Only in highly symmetric arrangement of thin enough prism, the overall dispersion can be approximated as a sum of individual contributions
^D. Brewster, A Treatise on New Philosophical Instruments for Various Purposes in the Arts and Sciences with Experiments on Light and Colours (Murray and Blackwood, Edinburgh, 1813).
^M. Born and E. Wolf, Principles of Optics, 7th Ed. (Cambridge University, Cambridge, 1999).
^F. J. Duarte and J. A. Piper, "Dispersion theory of multiple-prism beam expanders for pulsed dye lasers", Opt. Commun.43, 303–307 (1982).
^F. J. Duarte and J. A. Piper, "Generalized prism dispersion theory", Am. J. Phys.51, 1132–1134 (1982).
^F. J. Duarte, T. S. Taylor, A. Costela, I. Garcia-Moreno, and R. Sastre, Long-pulse narrow-linewidth disperse solid-state dye laser oscillator, Appl. Opt.37, 3987–3989 (1998).