Analytical design of doublechirped mirrors with custom-tailored dispersion characteristics

Abstract—We present a theory for the analytical design of double-chirped mirrors with special dispersion characteristics. A simple analytical equation takes an arbitrarily desired group delay dispersion (that also includes possible higher order disper-sion) as an input function and gives the chirp law as an output. The chirp law determines the local Bragg wavelengths in the mirror. It allows the calculation of the thicknesses of the high-and low-index layers if the double chirp of the layers in the front part of the mirror is taken into account. We use this method to design a highly dispersive double-chirped semiconductor Bragg mirror and a double-chirped Ti