We demonstrate an inductive method for computing exact derivatives of reflection phase for layered media by using the transfer-matrix formalism. The algorithm scales linearly with the number of layers. We show a physically realistic approximation that leads to an efficient procedure for accurately computing dispersion significantly faster than with standard finite-difference methods. We discuss the theory behind the approximation and show results for a dispersion-compensating chirped mirror from a Ti:sapphire laser.
© 2006 Optical Society of America
Structure and Fast Coatings
Original Manuscript: March 2, 2005
Manuscript Accepted: June 30, 2005
Jonathan R. Birge and Franz X. Kärtner, "Efficient analytic computation of dispersion from multilayer structures," Appl. Opt. 45, 1478-1483 (2006)