Utilizing Shift-or-Shrink Method to Optimize Multisegment Structures of Bent Optical Waveguides

Abstract

The authors utilized a heuristic shift-or-shrink method that is associated with the beam propagation method to design an optimal multisegment bent optical waveguide. By transforming the shape of each segment, the multisegment structure of the bent waveguide can be optimized. In addition to achieving maximal transmission efficiency, only four segments are sufficient to satisfactorily improve the transmission performance. Moreover, the optimal path of each of these multisegment bent waveguides remains similar to each other waveguide's optimal path even though the number of the segments increases.

Utilizing the Shift-or-Shrink Algorithm to Optimize the Direct Coupling from Laser Diodes to Diffused Channel Waveguides

“…Next, the authors describe how to utilize the shift-or-shrink (SOS) algorithm to seek the respective optimal conditions and their corresponding values of (4a)-(7b) [9], [19], [20]. has been obtained.…”

“…Afterwards, we search for their optimal coupling conditions by a heuristic shift-or-shrink (SOS) algorithm. SOS algorithm has been proposed for seeking the extrema of a function comprising a few variables, finding the complex solutions of an equation, obtaining the stationary solution in the calculus of variation, and optimizing the photonic device's structures [9], [19], [20]. Among them, the authors have presented an example of searching for the extreme value of a multi-variable paraboloid function by SOS algorithm in [20].…”

“…SOS algorithm has been proposed for seeking the extrema of a function comprising a few variables, finding the complex solutions of an equation, obtaining the stationary solution in the calculus of variation, and optimizing the photonic device's structures [9], [19], [20]. Among them, the authors have presented an example of searching for the extreme value of a multi-variable paraboloid function by SOS algorithm in [20]. It has been observed that only a few rounds of the shift-or-shrink Utilizing the Shift-or-Shrink Algorithm to Optimize the Direct Coupling from Laser Diodes to Diffused Channel Waveguides procedures are necessary for finding out the extremum via step-by-step investigation.…”

“…In this paper, we also utilize SOS algorithm to obtain the optimal incident conditions from LD's optical beam to the diffused channel waveguide. Comparing the other common optimization method such as the genetic algorithm (GA) [21] or particle swarm optimization (PSO) [22], SOS algorithm is capable of providing a sufficiently good solution, and it is more easily developed in computer programming than GA and PSO [20]. This is the reason that the authors select SOS method to seek the optimal incident conditions and its corresponding direct coupling efficiency.…”