Design of aberration-corrected curved-mirror and curved-grating unstable resonator diode lasers

An algorithm is presented for the design of an unstable optical resonator that supports an arbitrary optical mode. The same algorithm may be applied to the design of curved-mirror and curved-grating resonators, including both distributed Bragg reflector and distributed feedback unstable resonators. The new design formalism produces much simpler formulas than an algorithm previously described by the author. Example resonators are calculated that include hyperbolic-grating resonators with aberration-free diverging-beam modes and a newly proposed device: a parabolic-grating confocal distributed feedback unstable resonator that possesses a collimated output beam.>