Compact all-optical half adder based on topology optimization

Houyu Chen; Jin Li; Lirong Cheng; Caiyue Zhao; Xuanyi Liu; Qian Li; H. Y. Fu

doi:10.1364/JOSAB.506173

Journal of the Optical Society of America B
Vol. 41,
Issue 2,
pp. A60-A66
(2024)
•https://doi.org/10.1364/JOSAB.506173

Compact all-optical half adder based on topology optimization

Houyu Chen, Jin Li, Lirong Cheng, Caiyue Zhao, Xuanyi Liu, Qian Li, and H. Y. Fu

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Houyu Chen, Jin Li, Lirong Cheng, Caiyue Zhao, Xuanyi Liu, Qian Li, and H. Y. Fu, "Compact all-optical half adder based on topology optimization," J. Opt. Soc. Am. B 41, A60-A66 (2024)

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- Photonics
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About this Article
History
- Original Manuscript: September 18, 2023
- Revised Manuscript: November 14, 2023
- Manuscript Accepted: December 18, 2023
- Published: January 18, 2024
Virtual Issues
JOSA B Feature Issue: Inverse Design in Photonics (2024)

Abstract

We proposed an inverse-designed compact half adder on a silicon-on-insulator platform with a footprint of ${2}\;\unicode{x00B5}{\rm m} \times {2}\;\unicode{x00B5}{\rm m}$. The optical power of SUM and CARRY is controlled by different input combinations, according to the truth table of a half adder. Topology optimization is applied to cope with multiple objective functions in such a combinational logic circuit. The transmittance at 1550 nm for CARRY with 11 input is 170.2%, with extinction ratios (ERs) of 27.1 and 5.8 dB for SUM and CARRY, respectively. The SUM and CARRY outputs have ERs over 22.0 dB and 5.7 dB from 1515 nm to 1600 nm. Phase condition and morphology analysis show that the device has high tolerance on phase fluctuation and fabrication. The proposed device with compact footprint, low insertion loss, and large bandwidth presents a novel, to the best of our knowledge, approach to achieve all-optical combinational logic circuits with inverse design.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Input		Output
$A$	$B$	SUM (XOR)	CARRY (AND)
0	0	0	0
0	1	1	0
1	0	1	0
1	1	0	1

References	Type	Footprint	IL (dB)	ERs (dB)	Bandwidth	Feasibility
[20]	Cascaded AND $+$ XOR	$10 µ m \times 5 µ m$	−9 ( $T_{11}^{C A R R Y}$ )	7 (SUM)	1550 nm	Easy
[20]	Cascaded AND $+$ XOR	$10 µ m \times 5 µ m$	−9 ( $T_{11}^{C A R R Y}$ )	15 (CARRY)	1550 nm	Easy
[19]	Cascaded AND/XOR	$10 µ m \times 5 µ m$	−3 ( $T_{11}^{C A R R Y}$ )	6.9 (SUM)	1550 nm	Medium
[19]	Cascaded AND/XOR	$10 µ m \times 5 µ m$	−3 ( $T_{11}^{C A R R Y}$ )	5 (CARRY)	1550 nm	Medium
[23]	Cascaded OR $+$ XOR	$100 c m \times 45 c m$	−4.6 ( $T_{01}^{C A R R Y}$ )	NA	6 cm	Difficult
[21]	Cascaded OR/XOR	$4.5 µ m \times 1.3 µ m$	−4 ( $T_{01}^{C A R R Y}$ )	24 (SUM)	1520–1600 nm ( $22 + 9.54 d B$ )	Difficult
[21]	Cascaded OR/XOR	$4.5 µ m \times 1.3 µ m$	−4 ( $T_{01}^{C A R R Y}$ )	9.54 (CARRY)	1520–1600 nm ( $22 + 9.54 d B$ )	Difficult
This work	Standalone	$2 µ m \times 2 µ m$	2.3 ( $T_{11}^{C A R R Y}$ )	27.1 (SUM)	1515–1600 nm ( $22 + 5.7 d B$ )	Easy
This work	Standalone	$2 µ m \times 2 µ m$	2.3 ( $T_{11}^{C A R R Y}$ )	5.8 (CARRY)	1515–1600 nm ( $22 + 5.7 d B$ )	Easy

Input		Output
$A$	$B$	SUM (XOR)	CARRY (AND)
0	0	0	0
0	1	1	0
1	0	1	0
1	1	0	1

References	Type	Footprint	IL (dB)	ERs (dB)	Bandwidth	Feasibility
[20]	Cascaded AND $+$ XOR	$10 µ m \times 5 µ m$	−9 ( $T_{11}^{C A R R Y}$ )	7 (SUM)	1550 nm	Easy
[20]	Cascaded AND $+$ XOR	$10 µ m \times 5 µ m$	−9 ( $T_{11}^{C A R R Y}$ )	15 (CARRY)	1550 nm	Easy
[19]	Cascaded AND/XOR	$10 µ m \times 5 µ m$	−3 ( $T_{11}^{C A R R Y}$ )	6.9 (SUM)	1550 nm	Medium
[19]	Cascaded AND/XOR	$10 µ m \times 5 µ m$	−3 ( $T_{11}^{C A R R Y}$ )	5 (CARRY)	1550 nm	Medium
[23]	Cascaded OR $+$ XOR	$100 c m \times 45 c m$	−4.6 ( $T_{01}^{C A R R Y}$ )	NA	6 cm	Difficult
[21]	Cascaded OR/XOR	$4.5 µ m \times 1.3 µ m$	−4 ( $T_{01}^{C A R R Y}$ )	24 (SUM)	1520–1600 nm ( $22 + 9.54 d B$ )	Difficult
[21]	Cascaded OR/XOR	$4.5 µ m \times 1.3 µ m$	−4 ( $T_{01}^{C A R R Y}$ )	9.54 (CARRY)	1520–1600 nm ( $22 + 9.54 d B$ )	Difficult
This work	Standalone	$2 µ m \times 2 µ m$	2.3 ( $T_{11}^{C A R R Y}$ )	27.1 (SUM)	1515–1600 nm ( $22 + 5.7 d B$ )	Easy
This work	Standalone	$2 µ m \times 2 µ m$	2.3 ( $T_{11}^{C A R R Y}$ )	5.8 (CARRY)	1515–1600 nm ( $22 + 5.7 d B$ )	Easy

Abstract

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Figures (7)

Tables (2)

Equations (2)

Journal of the Optical Society of America B