Single Mach&#x2013;Zehnder interferometer based optical Boolean logic gates

Cláudia Reis; Tanay Chattopadhyay; Paulo André; António Teixeira

doi:10.1364/AO.51.008693

Single Mach–Zehnder interferometer based optical Boolean logic gates

Cláudia Reis, Tanay Chattopadhyay, Paulo André, and António Teixeira

Applied Optics
Vol. 51,
Issue 36,
pp. 8693-8701
(2012)
•https://doi.org/10.1364/AO.51.008693

Get Citation
Copy Citation Text
Cláudia Reis, Tanay Chattopadhyay, Paulo André, and António Teixeira, "Single Mach–Zehnder interferometer based optical Boolean logic gates," Appl. Opt. 51, 8693-8701 (2012)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Get PDF (1711 KB)
Set citation alerts
Save article

Related Topics
Table of Contents Category
- Optics in Computing
Optics & Photonics Topics
?

The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Electro-optical devices (230.2090)
- Optical logic (200.4660)

About this Article
History
- Original Manuscript: August 29, 2012
- Revised Manuscript: November 18, 2012
- Manuscript Accepted: November 18, 2012
- Published: December 20, 2012

Not Accessible

Your account may give you access

Abstract

In this paper, we demonstrate different optical logic gates using a single Mach–Zehnder interferometer with controlled phase modulators in each arm. The operational conditions to obtain 16 optical logic circuits, using the same design, are investigated and are a result of a constructive or destructive interference process. The proposed configuration presents significant low complexity and high scalability, and its feasibility is evaluated through numerical simulations.

Full Article | PDF Article

OSA Recommended Articles

New all-optical logic gates based on the local nonlinear Mach-Zehnder interferometer

Yaw-Dong Wu, Tien-Tsorng Shih, and Mao-Hsiung Chen
Opt. Express 16(1) 248-257 (2008)

Cascaded all-optical operations in a hybrid integrated 80-Gb/s logic circuit

J. D. LeGrange, M. Dinu, T. Sochor, P. Bollond, A. Kasper, S. Cabot, G. S. Johnson, I. Kang, A. Grant, J. Kay, and J. Jaques
Opt. Express 22(11) 13600-13615 (2014)

Design of optical reversible logic gates using electro-optic effect of lithium niobate based Mach–Zehnder interferometers

Santosh Kumar, Chanderkanta, and Sanjeev Kumar Raghuwanshi
Appl. Opt. 55(21) 5693-5701 (2016)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (9)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Tables (4)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (14)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

$X$	$Y$	$θ_{1}$ (deg)	$θ_{2}$ (deg)	$Δ θ$ (deg)	$P_{I}$	$P_{J}$
0	0	0	0	0	0	1
0	1	0	60	$- 60$	0.25 $P_{A}$	0.75 $P_{A}$
1	0	300	0	300	0.25 $P_{A}$	0.75 $P_{A}$
1	1	300	60	240	0.75 $P_{A}$	0.25 $P_{A}$

				Output Power When Input Signal $X : Y$
Logic Gate	$θ_{1}$ (deg)	$θ_{2}$ (deg)	Output Port	$0 ∶ 0$	$0 ∶ 1$	$1 ∶ 0$	$1 ∶ 1$
$X Y (AND)$	300	60	Port I	0	0.25	0.25	0.75
$\bar{X} + \bar{Y} (NAND)$	300	60	Port J	1	0.75	0.75	0.25
$X \bar{Y}$	120	60	Port I	0	0.25	0.75	0.25
$\bar{X} + Y$	120	60	Port J	1	0.75	0.25	0.75
$\bar{X} Y$	60	120	Port I	0	0.75	0.25	0.25
$X + \bar{Y}$	60	120	Port J	1	0.25	0.75	0.75
$X \oplus Y (XOR)$	180	180	Port I	0	1	1	0
$\bar{X \oplus Y} (XNOR)$	180	180	Port J	1	0	0	1
0(False)	60	60	Port I	0	0.25	0.25	0
1(True)	60	60	Port J	1	0.75	0.75	1
$X$	240	60	Port I	0	0.25	0.75	1
$\bar{X}$	240	60	Port J	1	0.75	0.25	0
$Y$	60	240	Port I	0	0.75	0.25	1
$\bar{Y}$	60	240	Port J	1	0.25	0.75	0
$X + Y (OR)$	240	120	Port I	0	0.75	0.75	0.75
$\bar{X} \bar{Y} (NOR)$	240	120	Port J	1	0.25	0.25	0.25

Logic Functions (I/J)	Before Thresholder (dB)		After Thresholder (dB)
Logic Functions (I/J)	I	J	I	J
$X Y (AND) / \bar{X} + \bar{Y} (NAND)$	4.23	4.68	15	15.3
$X \bar{Y} / \bar{X} + Y$	3.75	4.24	14	15.1
$\bar{X} Y / X + \bar{Y}$	4.03	3.98	14.4	14.2
$X \oplus Y (XOR) / \bar{X \oplus Y} (XNOR)$	16.99	16.99	14.9	14.9
0(False)/1(True)	11.3	13.85	9.7	14.6
$X / \bar{X}$	4.24	4.36	15	15
$Y / \bar{Y}$	4.29	4.27	15.1	15.1
$\bar{X} \bar{Y} (NOR) / X + Y (OR)$	13.22	7.12	14.9	14.1

MZI-A				MZI-B				MZI-C
$x$	$y$	$θ_{1}$ (deg)	$θ_{2}$ (deg)	$a$	$b$	$θ_{1}$ (deg)	$θ_{2}$ (deg)	$a$	$b$	$θ_{1}$ (deg)	$θ_{2}$ (deg)	Port 1	Port 2	Port 3	Port 4
{0011}	{0101}	300	60	{1110}	{1000}	300	60	{1110}	{1000}	300	60	{0000}	{0001}	{1000}	{0110}
		300	60			120	60			120	60	{0000}	{0001}	{0110}	{1000}
		120	60			180	180			180	180	{0010}	{0000}	{0100}	{1001}

$X$	$Y$	$θ_{1}$ (deg)	$θ_{2}$ (deg)	$Δ θ$ (deg)	$P_{I}$	$P_{J}$
0	0	0	0	0	0	1
0	1	0	60	$- 60$	0.25 $P_{A}$	0.75 $P_{A}$
1	0	300	0	300	0.25 $P_{A}$	0.75 $P_{A}$
1	1	300	60	240	0.75 $P_{A}$	0.25 $P_{A}$

Abstract

References

Cited By

Figures (9)

Tables (4)

Equations (14)

Metrics

Login or Create Account