Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 11 of 11 for “"PT-symmetry"”.
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On the discrete nonlinear Schrödinger equation with PT-Symmetry
… as Ablowitz-Ladik equation) with parity-time symmetry proposed in Ablowitz and Musslimani’s paper. This includes the eigenfunctions (Jost solutions) of the associated Lax pair, the scattering data and the fundamental analytic solutions. In addition, we study the spectral properties of the …
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On Multi-component Nonlinear Schrödinger Equation with PT-Symmetry
… Schrödinger equation with parity- time (PT)-symmetry related to symmetric spaces. This includes: the spectral properties of the associated Lax operator, Jost solution, the scattering matrix, the minimal sets of scattering data and the fundamental analytic solutions. We also derive the …
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Double optical feedback and PT-symmetry breaking induced nonlinear dynamics in semiconductor lasers
… that arise in a semiconductor laser due to optical feedback. We investigate two schemes of optical feedback. The first scheme subjects the laser to optical feedback from two external cavities (or two loops), wherein each cavity contains a spectral filter. Using two filtered optical feedbacks, …
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Parity-Time Symmetry in Lasers and Optoelectronic Oscillators
Parity-time (PT) symmetry, originally proposed in quantum mechanics, has been extended to photonics and microwave photonics, offering a new framework to study the interplay between gain, loss, and coupling coefficients for single-mode selection in lasers and optoelectronic oscillators (OEOs). This …
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Parity-time and supersymmetry in optics
Symmetry plays a crucial role in exploring the laws of nature. By exploiting some of the underlying analogies between the mathematical formalism of quantum mechanics and that of electrodynamics, in this dissertation we show that optics can provide a fertile ground for studying, observing, and …
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Non-Hermitian Hamiltonians in Field Theory
… phenomenon of fast transitions developed in the PT -symmetric quantum brachistochrone problem may in fact be attributed to the non-Hermiticity of evolution operator used, rather than to its invariance under PT operation. Transition probabilities are calculated for Hamiltonians which explicitly …
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Solvable Models on Noncommutative Spaces with Minimal Length Uncertainty Relations
… inner products and that is the reason why we use PT -symmetry and pseudo-Hermiticity property, wherever applicable, to make them self-consistent well designed physical observables. We construct an exact form of the metric operator, which is rare in the literature, and provide Hermitian versions of …
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Extreme electromagnetic phenomena over an ultrathin platform
… a pivotal role in modern technology. The in-depth understanding of the physics background, therefore, has promised improved functionalities of the current devices. Recently, the demand on novel technologies has required faster, smaller, and more efficient devices, requiring unprecedented …
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Enhanced digital modulation of coherently coupled vertical cavity laser arrays: theory and application
… used to describe carrier-photon interactions in optically coupled semiconductor laser arrays. Bandwidth enhancement in phased laser arrays is explained using small-signal frequency-domain pole-zero analysis on coupled-mode rate equations. The effects of complex coupling coefficient, associated …
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Wave transport in parity-time symmetric, time-varying, and quasi-periodic systems
… a sensing circuit based on sixth-order exceptional point (EP), which supports high sensitivity, resolution, and nondegraded thermal noise performance compared with conventional diabolic point (DP) sensing system. I also studied the influence of thermal noise in a general two-level sensing …
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Suppression of disorder-induced scattering in optomechanical systems
High-Q optical and mechanical resonators have been utilized in ultra-high precision metrology, transducers, sensor applications, and even investigating quantum mechanics at mesoscales. However, these low-loss devices are often limited by sub-wavelength fluctuations within the host material, that …