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
Original Manuscript: November 19, 2007
Revised Manuscript: January 21, 2008
Manuscript Accepted: January 31, 2008
Published: April 21, 2008
Frédéric Druon, Marc Hanna, Gaëlle Lucas-Leclin, Yoann Zaouter, Dimitris Papadopoulos, and Patrick Georges, "Simple and general method to calculate the dispersion properties of complex and aberrated stretchers-compressors," J. Opt. Soc. Am. B 25, 754-762 (2008)