All-to-all broadcast in Augmented Optical Linear Array

All-to-all broadcast communication refers to a process where each terminal node in a network sends a distinct message to every other terminal node. This intensive exchange of information is a crucial component in ultra high-performance computing and communication frameworks, finding applications in areas such as network control mechanisms and data center operations. In telecommunication networks, it is critical for efficient resource management, as each terminal node must collect information about all others. Optical networks using Wavelength Division Multiplexing (WDM) form the backbone of these systems, where efficient utilization of wavelengths is essential to minimize costs and complexity. The optical linear array topology is commonly employed in Local Area Networks, Wide Area Networks, and Metropolitan Area Networks. To optimize the performance in such networks, modifications of the network topology are necessary to minimize both wavelength requirement and hop count. In this study, a linear array network with T terminal nodes is augmented by directly interconnecting terminal nodes with an index difference of ⌊ 𝑇−1 2 ⌋, which can also be termed as linear array with ⌊ 𝑇−1 2 ⌋length extension. This augmented linear array is analyzed to identify the number of wavelengths required atmost for establishing all-to-all broadcast by grouping non-overlapping connections on the same wavelength. The results found indicate that the Augmented Linear Array achieves a reduction of approximately 10% to 24% in wavelength requirements compared to a linear array with a twolength extension, also achieving 50% reduction in hop count. However, it exhibits a 10% increase in wavelength usage in comparison to a linear array with a three-length extension, but it offers a hop count reduction more than 20%.