Showing papers by "Kenneth Steiglitz published in 1999"
TL;DR: In this paper, the authors demonstrate experimentally collisions between vector (Manakov-like) solitons that involve energy exchange at large collision angles, for which scalar solITons pass through one another practically unaffected.
Abstract: We demonstrate experimentally collisions between vector (Manakov-like) solitons that involve energy exchange at large collision angles, for which scalar solitons pass through one another practically unaffected.
98 citations
Dissertation•
01 Jan 1999
TL;DR: The state transformations caused by collisions in a particular system of coupled optical solitons — the Manakov system — are characterized and how to implement several computations, such as a NOT processor and certain other reversible operators are shown.
Abstract: We propose a new physical medium for computation: colliding solitons. As particlelike nonlinear waves, solitons can carry and exchange information, thus acting as computing agents. Optical solitons have pulse widths measured in picoseconds or femtoseconds, and this approach could ultimately offer an alternative to electronics. This work grew from an abstract computational model called the particle machine (PM), which uses discrete propagating and colliding particles to compute. We show that this model is universal, and describe several efficient PM algorithms, such as convolution, certain systolic-array computations, and linear-time, arbitrary-precision arithmetic, including an iterative algorithm for division. This leads to the question of physical instantiation of PMs that could do useful computation, and optical solitons provide a natural example. Propagating solitons carry information in their amplitudes, velocities, and phases. We show how colliding solitons can transfer such information in nontrivial ways, thus making computation possible. We characterize the state transformations caused by collisions in a particular system of coupled optical solitons — the Manakov system — and show how to implement several computations, such as a NOT processor and certain other reversible operators. Our results resolve some questions about computational power in different soliton systems, and serve as first steps towards realizing a practical soliton-based computer.
9 citations
01 Sep 1999
TL;DR: Despite the fantastic rate at which silicon-based technologies have been progressing, there are several fundamental limitations which suggest that this progress cannot continue without bound, so interest in alternative technologies, such as quantum and DNA computing, has been growing.
Abstract: Despite the fantastic rate at which silicon-based technologies have been progressing, there are several fundamental limitations which suggest that this progress cannot continue without bound. Even within the next decade or two these factors may start to become a real hindrance, and so interest in alternative technologies, such as quantum and DNA computing, has been growing.