A 1-<i>N</i>-way resonator based on beam splitting and beam combining effects in rectangular cross-sectional multimode waveguides was recently proposed. Such a resonator structure offers a valuable way in which <i>N</i> low-power laser elements may be combined in a coherent fashion. We examine the case of passive 1-<i>N</i>-way resonators. We develop a theory of these 1-<i>N</i>-way structures to show that there is only one possible mode of these resonators. The theory is used to give a scaling law for the design tolerances of the beam splitting and beam combining region of the resonator.
© 2001 Optical Society of America
Eric K. Gorton and R. Michael Jenkins, "Theory of 1- N-Way Phase-Locked Resonators," Appl. Opt. 40, 916-920 (2001)