Abstract
AbstractMost of the current computing technology relies on semiconductor‐based devices to perform fundamental switching/routing processes, however, recent advances in the field of optical computing have demonstrated that interconnected waveguides (in a series and/or parallel configuration) can enable high‐speed switching and routing of transverse electromagnetic (TEM) square pulses, creating new paradigms for alternative solutions in computing. In this work, a new approach for the modelling of TEM square pulse switching and routing in interconnected waveguides is proposed by unleashing the potential of Petri‐Nets (PNs). PNs are a highly regarded graphical modelling technique used in multiple scenarios ranging from industrial engineering, electronic circuits and even in chemical engineering for the study of chemical reactions. The fundamental principles of PNs along with their potential to graphically represent systems of equations are presented. These features are then exploited to represent the interaction of TEM square pulses in waveguide junctions using three or four interconnected waveguides (series and parallel configurations). This work represents a fundamental step toward allowing experts from multiple fields (such as computer science, electronics, and photonics) to contribute to the design of future computing systems by exploiting PNs in the design of electromagnetic wave‐based computing systems.
Highlights
Most of the current computing technology relies on semiconductor-based two years.[1]
The fundamental principles of PNs along with their potential to been key for computing systems to evolve to the performance we expect today,[3] a remarkable example in this context is the metal-oxide semiconductor field effect transistor (MOS-FET), with billions of them graphically represent systems of equations are presented
Could we exploit PNs to represent linear equations? we address this question demonstrating how, PNs can be applied as a graphical representation of equations as an important step toward unleashing the potential of PNs for the representation of transverse electromagnetic (TEM) pulses propagating within N-waveguide junctions
Summary
As briefly discussed in the introduction, PNs are a method for graphically modelling discreet event dynamic systems.[38]. Places with tokens within them are considered occupied, allowing connected transitions (represented as boxes) to be fired This process occurs when all places feeding into a transition contain tokens. It is important to mention that the use of an arc to connect two places or two transitions is not permitted This is because such configurations would not allow for any transitions to fire.[47] we will exploit all these features of PNs with the final aim of using them to represent TEM pulses inside waveguide junctions. Characteristics are represented in the PN, such as the introduction of fractional weights, fractional tokens, and two categories of places for positive/negative polarity tokens
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