2013
DOI: 10.1109/jlt.2013.2288107
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Design of Three-Dimensional Optical Circuit Devices by Using Topology Optimization Method With Function-Expansion-Based Refractive Index Distribution

Abstract: We extend topology optimization method with function-expansion-based refractive index distribution to optimization for three-dimensional optical circuits, in which a refractive index distribution in a design region is expressed by an expansion with some analytical functions. Three-branch optical waveguides have been optimized as numerical examples. Equally branching three-branch waveguides are achieved using our method. A limitation of topology optimization in two dimensions and dependency of initial structure… Show more

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Cited by 22 publications
(24 citation statements)
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“…where n is a refractive index distribution. Applying FV-FEM with tetrahedral edge element to (3), the following simultaneous linear equation is obtained [6]:…”
Section: Full-vectorial Finite Element Methodsmentioning
confidence: 99%
See 3 more Smart Citations
“…where n is a refractive index distribution. Applying FV-FEM with tetrahedral edge element to (3), the following simultaneous linear equation is obtained [6]:…”
Section: Full-vectorial Finite Element Methodsmentioning
confidence: 99%
“…To efficiently evaluate the sensitivity, we employ the adjoint variable method and optimize the design parameters by using the gradient descent method. The sensitivity of the scattering parameter S n1 is expressed as follows [6]:…”
Section: Sensitivity Analysis Based On Adjoint Variable Methodsmentioning
confidence: 99%
See 2 more Smart Citations
“…Thus, it is expected that optical devices with higher performance can be obtained by using the topology optimization. The applications of the topology optimal design to optical devices have been reported and the effectiveness has been demonstrated in previous studies [1][2][3][4][5][6][7][8][9][10][11].…”
Section: Introductionmentioning
confidence: 94%