Investigation of negative dispersion extrema in chirping mirrors of arbitrary order of chirping

Results of the numerical computation of the chirped mirrors with an arbitrary order of the chirping are presented. The transfer matrix method is used with taking the width and the refraction index of each layer into account. The obtained data show the strong negative group delay dispersion dependence on the parameters of the chirping and a number of layers in the structure. It is shown, the structure with changing of the low refractive index layer thickness has the largest negative group delay dispersion. The negative group delay dispersion (GDD) in the chirped mirrors has a great importance for development of the laser pulses generation technology with the pulse duration in several femtoseconds. It allows using the chirped mirrors without additional prisms. The application of the chirped mirrors is advantageous for the compression of the high energy pulses as well because its gives high negative GDD in the small material volume and in the direction of the pulse propagation. In this case the nonlinear affects during pulse compression can vanish.