Self-imaging is an important function for signal transport,distribution,and processing in integrated optics,which is usually implemented by multimode interference or diffractive imaging process.However,these processes...Self-imaging is an important function for signal transport,distribution,and processing in integrated optics,which is usually implemented by multimode interference or diffractive imaging process.However,these processes suffer from the resolution limit due to classical wave propagation dynamics.We propose and demonstrate subwavelength optical imaging in one-dimensional silicon waveguide arrays,which is implemented by cascading straight and curved waveguides in sequence.The coupling coefficient between the curved waveguides is tuned to be negative to reach a negative dispersion,which is an analog to a hyperbolic metamaterial with a negative refractive index.Therefore,it endows the waveguide array with a superlens function as it is connected with a traditional straight waveguide array with positive dispersion.With a judiciously engineered cascading silicon waveguide array,we successfully show the subwavelength self-imaging process of each input port of the waveguide array as the single point source.Our approach provides a strategy for dealing with optical signals at the subwavelength scale and indicates functional designs in high-density waveguide integrations.展开更多
Inspired by Niels Bohr’s adoption of the Taijitu symbol of Yin Yang in his quantum complementarity worldview, this original paper introduces Yin Yang cosmology as an original epistemic quantum information theoretic m...Inspired by Niels Bohr’s adoption of the Taijitu symbol of Yin Yang in his quantum complementarity worldview, this original paper introduces Yin Yang cosmology as an original epistemic quantum information theoretic model of the cosmos. The model is relation-based (not object-based) and is fundamentally established on foundations of positive and negative correlations between correlates. Adopting the holographic principle of ‘t Hooft, the fundamental dualistic processes of Yin Yang cosmology are interacting self-assembly (host) and self-disassembly (virus) subroutines in a superposition algorithm that cooperate in a phase portrait on a holographic boundary. This cooperative self-assembly and self-disassembly Yin Yang cosmology is formalized in a pair of differential equations that plot as orthogonal swirling Taijitu, and which together form an epistemic information-accreting unit-circle limit-cycle. Formal and natural descriptions are given for the continuously evolving saturation of quantum information entropy production under Yin Yang theoretic unit circle limit cycle dynamics. This original paper includes a short discussion on the known cosmos, from Big Bang to thermodynamic Big Chill, which is a quarter-cycle in Yin Yang cosmology. Our known thermodynamic cosmos is contextualized within a Yin Yang full-oscillation stationary wave that self-evolves, both its content (correlations between correlates) and its emergent laws, all-at-once in superposition. In a general theory of thermodynamics, the four superposed quarter-cycles of Yin Yang cosmology are: thermodynamic (the known cosmos), cryodynamic, anti-thermodynamic and anti-cryodynamic. Yin Yang cosmology guided by its epistemic limit cycle, self-evolves towards a self-referential symbolic ouroboros of quantum cosmological intelligence and generates Hawking’s ex post facto configurations for Life.展开更多
The troposphere and ocean mixed layer were considered as two components of a dynamic system operated by solar radiation as the constant source of energy, where upon an air-sea coupling self-exited coupling oscillation...The troposphere and ocean mixed layer were considered as two components of a dynamic system operated by solar radiation as the constant source of energy, where upon an air-sea coupling self-exited coupling oscillation model was based with the aid of a locally averaged thermodynamic climate model, resulting mathematically in a closed self-governed dynamic system, a so-called El Nino-Southern Oscillation(ENSO) system. With the limit cycle solution of the system. It is shown that the essential physics of the coupled system can be described by the ENSO system. Compared with the observations, the theoretical limit cycle orbit matches the observed phase loop qualitatively. The ENSO system provides a useful theoretical framework for study of interannual variation of the tropical climate system.展开更多
The limit span of self-anchored cable-stayed suspension bridge is deduced.The relations among the geometrical parameters,loads and material characteristics are also analyzed.Based on the material strength and commonly...The limit span of self-anchored cable-stayed suspension bridge is deduced.The relations among the geometrical parameters,loads and material characteristics are also analyzed.Based on the material strength and commonly used materials,the limit spans of self-anchored cable-stayed suspension bridges with concrete girder or steel girder under vertical static load are discussed in detail.The corresponding upper limit spans and the effect of the factors on the span are given.The results indicate that increasing rise-span ratio,height-span ratio and cable-stayed segment length or reducing the second dead load could increase the cooperation system span.展开更多
基金The authors acknowledge the financial support from the National Key R&D Program of China(2017YFA0303701,2016YFA0202103)National Natural Science Foundation of China(91850204,11674167).Tao Li acknowledges support from Dengfeng Project B of Nanjing University.The authors have no conflicts of interest to disclose.
文摘Self-imaging is an important function for signal transport,distribution,and processing in integrated optics,which is usually implemented by multimode interference or diffractive imaging process.However,these processes suffer from the resolution limit due to classical wave propagation dynamics.We propose and demonstrate subwavelength optical imaging in one-dimensional silicon waveguide arrays,which is implemented by cascading straight and curved waveguides in sequence.The coupling coefficient between the curved waveguides is tuned to be negative to reach a negative dispersion,which is an analog to a hyperbolic metamaterial with a negative refractive index.Therefore,it endows the waveguide array with a superlens function as it is connected with a traditional straight waveguide array with positive dispersion.With a judiciously engineered cascading silicon waveguide array,we successfully show the subwavelength self-imaging process of each input port of the waveguide array as the single point source.Our approach provides a strategy for dealing with optical signals at the subwavelength scale and indicates functional designs in high-density waveguide integrations.
文摘Inspired by Niels Bohr’s adoption of the Taijitu symbol of Yin Yang in his quantum complementarity worldview, this original paper introduces Yin Yang cosmology as an original epistemic quantum information theoretic model of the cosmos. The model is relation-based (not object-based) and is fundamentally established on foundations of positive and negative correlations between correlates. Adopting the holographic principle of ‘t Hooft, the fundamental dualistic processes of Yin Yang cosmology are interacting self-assembly (host) and self-disassembly (virus) subroutines in a superposition algorithm that cooperate in a phase portrait on a holographic boundary. This cooperative self-assembly and self-disassembly Yin Yang cosmology is formalized in a pair of differential equations that plot as orthogonal swirling Taijitu, and which together form an epistemic information-accreting unit-circle limit-cycle. Formal and natural descriptions are given for the continuously evolving saturation of quantum information entropy production under Yin Yang theoretic unit circle limit cycle dynamics. This original paper includes a short discussion on the known cosmos, from Big Bang to thermodynamic Big Chill, which is a quarter-cycle in Yin Yang cosmology. Our known thermodynamic cosmos is contextualized within a Yin Yang full-oscillation stationary wave that self-evolves, both its content (correlations between correlates) and its emergent laws, all-at-once in superposition. In a general theory of thermodynamics, the four superposed quarter-cycles of Yin Yang cosmology are: thermodynamic (the known cosmos), cryodynamic, anti-thermodynamic and anti-cryodynamic. Yin Yang cosmology guided by its epistemic limit cycle, self-evolves towards a self-referential symbolic ouroboros of quantum cosmological intelligence and generates Hawking’s ex post facto configurations for Life.
文摘The troposphere and ocean mixed layer were considered as two components of a dynamic system operated by solar radiation as the constant source of energy, where upon an air-sea coupling self-exited coupling oscillation model was based with the aid of a locally averaged thermodynamic climate model, resulting mathematically in a closed self-governed dynamic system, a so-called El Nino-Southern Oscillation(ENSO) system. With the limit cycle solution of the system. It is shown that the essential physics of the coupled system can be described by the ENSO system. Compared with the observations, the theoretical limit cycle orbit matches the observed phase loop qualitatively. The ENSO system provides a useful theoretical framework for study of interannual variation of the tropical climate system.
基金This work was supported by the West Transportation Construction Projects Foundation of the Ministry of Communications(No.200631882350).
文摘The limit span of self-anchored cable-stayed suspension bridge is deduced.The relations among the geometrical parameters,loads and material characteristics are also analyzed.Based on the material strength and commonly used materials,the limit spans of self-anchored cable-stayed suspension bridges with concrete girder or steel girder under vertical static load are discussed in detail.The corresponding upper limit spans and the effect of the factors on the span are given.The results indicate that increasing rise-span ratio,height-span ratio and cable-stayed segment length or reducing the second dead load could increase the cooperation system span.
