The post-Newtonian scheme in multiple systems with post-Newtonian parameters presented by Klioner and Soffel is extended to the post-post-Newtonian （PPN） order for light propagation problem in the solar system. Unde...The post-Newtonian scheme in multiple systems with post-Newtonian parameters presented by Klioner and Soffel is extended to the post-post-Newtonian （PPN） order for light propagation problem in the solar system. Under considering the solar system experiment requirement, a new parameter ε is introduced. This extension does not change the virtue of the scheme on the linear partial differential equations of the potential and vector potential mentioned in previous work. Furthermore, this extension is based on the former work done by Richter and Matzner in one global system theory. As an application, we also consider the deflection of light ray in the global coordinates. And the deflection angle of light ray is obtained with post-Newtonian parameters.展开更多
Based on Fermat＇s principle and the automatic optimization mechanism in the propagation process of light, an optimal searching algorithm named light ray optimization is presented, where the laws of refraction and ref...Based on Fermat＇s principle and the automatic optimization mechanism in the propagation process of light, an optimal searching algorithm named light ray optimization is presented, where the laws of refraction and reflection of light rays are integrated into searching process of optimization. In this algorithm, coordinate space is assumed to be the space that is full of media with different refractivities, then the space is divided by grids, and finally the searching path is assumed to be the propagation path of light rays. With the law of refraction, the search direction is deflected to the direction that makes the value of objective function decrease. With the law of reflection, the search direction is changed, which makes the search continue when it cannot keep going with refraction. Only the function values of objective problems are used and there is no artificial rule in light ray optimization, so it is simple and easy to realize. Theoretical analysis and the results of numerical experiments show that the algorithm is feasible and effective.展开更多
As one of the most advanced light source technologies,X-ray free-electron lasers(XFELs)generate radiation spanning from terahertz to X-ray wavelengths.1 These facilities deliver unprecedented spatiotemporal resolution...As one of the most advanced light source technologies,X-ray free-electron lasers(XFELs)generate radiation spanning from terahertz to X-ray wavelengths.1 These facilities deliver unprecedented spatiotemporal resolution at subnanometer spatial scales and femtosecond-to-attosecond temporal regimes,revolutionizing ultrafast studies in physics,chemistry,and biology.The unique capability of free-electron lasers(FELs)to produce intense,wavelength-tunable coherent pulses further enables investigations of matter under extreme conditions.展开更多
Bionic micro/nanomotor systems,which combine biomimetic design with the motion performance,have shown great potential in many fields.However,so far,it remains a challenge to design and fabricate biomimetic micro/nanom...Bionic micro/nanomotor systems,which combine biomimetic design with the motion performance,have shown great potential in many fields.However,so far,it remains a challenge to design and fabricate biomimetic micro/nanomotors with high flexibility to perform complex tasks in complicated and changeable environments.In this work,inspired by the suckerfishes(vip)-shark(host)motion behavior,we designed and prepared a kind of intelligent two-stage micro@nanomotor with weak acid-triggered release of nanomotor.When the suckerfishes,who clinged to the surface of large fish or the bottom of boat and marched with them,reached bait-rich waters,they detached from the host to engage in foraging behavior.Inspired by the suckerfishes-shark system and the coordinated bond interaction,a large amount of Janus Au-Pt nanomotors with hydrogen peroxide(H_(2)O_(2))-driven capacity,analogous to suckerfishes,were attached onto immovable yolk-shell structured polydopamine-mesoporous silica(PDA-MS)micromotor as the host to create two-stage PDA-MS@Au-Pt micro@nanomotor.PDA-MS@Au-Pt micro@nanomotor moved directionally by self-thermophoresis under the propulsion of near infrared ray(NIR)light with low power density.When the PDA-MS@Au-Pt entered into the weak acidic environment formed by a low concentration of H_(2)O_(2),most small Au-Pt nanomotors were detached from the surface of PDA-MS due to the weak acidic sensitivity of the coordinated bond,and then performed self-diffusiophoresis in the environment containing a low concentration of H_(2)O_(2) as a chemical fuel.This bionic intelligent system,which consists of a large-sized micromotor and lots of small-sized nanomotors,should provide a new insight for active two-stage cargo delivery.展开更多
While considering a mirror and light rays coming either from a point source or from infinity,the reflected light rays may have an envelope,called a caustic curve.In this paper,we study developable surfaces as mirrors....While considering a mirror and light rays coming either from a point source or from infinity,the reflected light rays may have an envelope,called a caustic curve.In this paper,we study developable surfaces as mirrors.These caustic surfaces,described in a closed form,are also developable surfaces of the same type as the original mirror surface.We provide efficient,algorithmic computation to find the caustic surface of each of the three types of developable surfaces(cone,cylinder,and tangent surface of a spatial curve).We also provide a potential application of the results in contemporary free-form architecture design.展开更多
基金supported by the National Natural Science Foundation of China (Grant No. 10674099)the National Science Foundation for Young Scientists of China (Grant No. 10925313)the Shandong Provincial Natural Science Foundation,China (GrantNo. ZR2010AQ023)
文摘The post-Newtonian scheme in multiple systems with post-Newtonian parameters presented by Klioner and Soffel is extended to the post-post-Newtonian （PPN） order for light propagation problem in the solar system. Under considering the solar system experiment requirement, a new parameter ε is introduced. This extension does not change the virtue of the scheme on the linear partial differential equations of the potential and vector potential mentioned in previous work. Furthermore, this extension is based on the former work done by Richter and Matzner in one global system theory. As an application, we also consider the deflection of light ray in the global coordinates. And the deflection angle of light ray is obtained with post-Newtonian parameters.
基金Supported by Natural Science Foundation of Heilongjiang Province of China (Grant No. F200931)
文摘Based on Fermat＇s principle and the automatic optimization mechanism in the propagation process of light, an optimal searching algorithm named light ray optimization is presented, where the laws of refraction and reflection of light rays are integrated into searching process of optimization. In this algorithm, coordinate space is assumed to be the space that is full of media with different refractivities, then the space is divided by grids, and finally the searching path is assumed to be the propagation path of light rays. With the law of refraction, the search direction is deflected to the direction that makes the value of objective function decrease. With the law of reflection, the search direction is changed, which makes the search continue when it cannot keep going with refraction. Only the function values of objective problems are used and there is no artificial rule in light ray optimization, so it is simple and easy to realize. Theoretical analysis and the results of numerical experiments show that the algorithm is feasible and effective.
文摘As one of the most advanced light source technologies,X-ray free-electron lasers(XFELs)generate radiation spanning from terahertz to X-ray wavelengths.1 These facilities deliver unprecedented spatiotemporal resolution at subnanometer spatial scales and femtosecond-to-attosecond temporal regimes,revolutionizing ultrafast studies in physics,chemistry,and biology.The unique capability of free-electron lasers(FELs)to produce intense,wavelength-tunable coherent pulses further enables investigations of matter under extreme conditions.
基金supported by Fundamental Research Funds for the Central Universities(No.FRF-BR-23-02B)China Postdoctoral Science Foundation(No.2023M731408)+2 种基金Jiangsu Funding Program for Excellent Postdoctoral Talent(No.2023ZB640)Jiangsu Province Capability Improvement Project through Science,technology and Education(Jiangsu Provincial Medical Key Discipline,ZDXK202222)Natural Science Foundation of Jiangsu Province(No.BK20230731).
文摘Bionic micro/nanomotor systems,which combine biomimetic design with the motion performance,have shown great potential in many fields.However,so far,it remains a challenge to design and fabricate biomimetic micro/nanomotors with high flexibility to perform complex tasks in complicated and changeable environments.In this work,inspired by the suckerfishes(vip)-shark(host)motion behavior,we designed and prepared a kind of intelligent two-stage micro@nanomotor with weak acid-triggered release of nanomotor.When the suckerfishes,who clinged to the surface of large fish or the bottom of boat and marched with them,reached bait-rich waters,they detached from the host to engage in foraging behavior.Inspired by the suckerfishes-shark system and the coordinated bond interaction,a large amount of Janus Au-Pt nanomotors with hydrogen peroxide(H_(2)O_(2))-driven capacity,analogous to suckerfishes,were attached onto immovable yolk-shell structured polydopamine-mesoporous silica(PDA-MS)micromotor as the host to create two-stage PDA-MS@Au-Pt micro@nanomotor.PDA-MS@Au-Pt micro@nanomotor moved directionally by self-thermophoresis under the propulsion of near infrared ray(NIR)light with low power density.When the PDA-MS@Au-Pt entered into the weak acidic environment formed by a low concentration of H_(2)O_(2),most small Au-Pt nanomotors were detached from the surface of PDA-MS due to the weak acidic sensitivity of the coordinated bond,and then performed self-diffusiophoresis in the environment containing a low concentration of H_(2)O_(2) as a chemical fuel.This bionic intelligent system,which consists of a large-sized micromotor and lots of small-sized nanomotors,should provide a new insight for active two-stage cargo delivery.
基金Project supported by the European Union and the European Social Fund(No.EFOP-3.6.3-VEKOP-16-2017-00002).Open Access funding provided by European Union and the European Social Fund。
文摘While considering a mirror and light rays coming either from a point source or from infinity,the reflected light rays may have an envelope,called a caustic curve.In this paper,we study developable surfaces as mirrors.These caustic surfaces,described in a closed form,are also developable surfaces of the same type as the original mirror surface.We provide efficient,algorithmic computation to find the caustic surface of each of the three types of developable surfaces(cone,cylinder,and tangent surface of a spatial curve).We also provide a potential application of the results in contemporary free-form architecture design.
