All-Optical N-bit Multiplier Design using Mach-Zehnder Interferometer

We delve into applying the "Urdhva Tiryagbhyam" Vedic mathematics sutra, or "Vertically and Crosswise," to develop a 2-bit multiplier tailored for binary integers. Originating from ancient Indian mathematical traditions, this sutra historically expedited the multiplication of decimal numbers. To implement our proposed circuit, we employ four microring modulators designed by the electroabsorption method and scrutinize the impact of various variables on its on-off logic. The study emphasizes the significance of Vedic mathematics sutras in optimizing binary multiplication operations within the optical domain. To substantiate the optical output results, we have measured the extinction ratio, which consistently exceeds at least 2.9 dB for each operation. By integrating traditional mathematical principles with contemporary technologies, we aim to streamline and accelerate binary multiplication processes, contributing to advancements in digital circuit design and computation.

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Optical 2-bit nanoscale multiplier using MIM waveguides

Nukhailawi,

Hussein

2024

Appl. Opt.

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The plasmonic 2-bit multiplier is designed at a 1310 nm operating wavelength and a 65% transmission threshold (Tthreshold). Using the finite element method (FEM) with the COMSOL version 15 software, we simulated the suggested 2-bit multiplier, based on the principle of the constructive and destructive interferences between the input light waves. The results were delivered in graphs containing the transmission level (T) versus an operating wavelength range between 800 and 2000 nm, magnetic field distribution, modulation depth (MD), contrast ratio (CR), and insertion loss (IL). The modulation depth was 99.91%, the CR was 14.75 dB, and the IL was −1.2dB.

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All-Optical N-bit Multiplier Design using Mach-Zehnder Interferometer

Cited by 3 publications

References 25 publications

All-Optical N-Bit Reversible Complex Multiplier

All-Optical N-Bit Reversible Complex Multiplier

Realization of 2-bit multiplier based on Vedic mathematics using electro-absorption microring modulator

Optical 2-bit nanoscale multiplier using MIM waveguides

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