Abstract

We propose a general method to calculate the dispersion of an arbitrary optical system. It is based on a nonlinear extension of the ABCD matrix model, where each optical element is described as an operator rather than a matrix. The deviation from a reference ray in terms of transverse position, angle, and phase as a function of wavelength is propagated through any optical system. This allows the calculation of all orders of dispersion, and also gives some insight in the space–time coupling phenomena such as spatial and angular chirp. This method is well-suited to compute the linear dispersive properties of complex and/or aberrated stretcher and compressor setups.

© 2008 Optical Society of America

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