MOESP Algorithm for Converting One-dimensional Maxwell Equation into a Linear System

2007 ◽  
pp. 395-402
Author(s):  
E. F. Yetkin ◽  
H. Dag ◽  
W. H. A. Schilders
Keyword(s):  
Linear System ◽  
Maxwell Equation ◽  
One Dimensional

SEARCH FOR THE OPTIMAL PARAMETERS OF RELAXING NONLINEARITY TO OBTAIN SELF-TRAPPING OF AN ULTRASHORT PULSE IN A PHOTONIC CRYSTAL

2012 ◽  
Vol 21 (01) ◽  
pp. 1250010 ◽  
Author(s):  
D. V. NOVITSKY
Keyword(s):  
Photonic Crystal ◽  
Linear System ◽  
Ultrashort Pulse ◽  
Femtosecond Pulse ◽  
Optimal Choice ◽  
Optimal Parameters ◽  
Cubic Nonlinearity ◽  
One Dimensional ◽  
Self Trapping ◽  
System Characteristics

We theoretically study the conditions for realization of trapping of a femtosecond pulse inside a one-dimensional photonic crystal with the relaxing cubic nonlinearity. A number of variants is considered: focusing and defocusing nonlinearities of the layers, a half-linear system, structures with differing values of nonlinearity parameters of periodically alternating layers. The results seem to be useful to make the optimal choice of the system characteristics to obtain self-trapping.

Control of Multiple Magnetic Micro Robots

2015 ◽  
Author(s):  
Denise Wong ◽  
Jeremy Wang ◽  
Edward Steager ◽  
Vijay Kumar
Keyword(s):  
Magnetic Field ◽  
Linear System ◽  
Applied Field ◽  
Dimensional System ◽  
One Dimensional ◽  
Electromagnetic Coils ◽  
Micro Robot ◽  
Simulation Results ◽  
Visual Feedback Control ◽  
The Magnetic Field

A magnetic micro robot is a microscopic magnet that is controlled by a system of electromagnetic coils that generate a magnetic field to manipulate the magnetic robot. A major challenge for manipulating multiple magnets at microscale is that the applied field affects the entire workspace, making it difficult to address individual magnets. In this paper, we propose a system where electromagnetic coils are close to the magnets being manipulated to exploit spatial non-uniformities in the magnetic field. Our model considers the magnetic field generated by the electromagnetic coils and the magnetic fields present from neighboring magnetic robots to generate the desired force on each magnet. This approach is demonstrated on a macroscopic, one-dimensional system with two magnets controlled by two electromagnets using visual feedback control. Additionally, simulation results for a linear system with three magnets and three electromagnets are shown. While demonstrated at the macroscale, our results suggest that our methods can be extended for microscale manipulation, where it is advantageous to control multiple identical magnets with global fields.

Vibration transmission through symmetric resonant couplings

1994 ◽  
Vol 346 (1681) ◽  
pp. 511-524 ◽  
Keyword(s):  
Linear System ◽  
Wave Reflection ◽  
Circular Cylinders ◽  
Dimensional Structure ◽  
General Point ◽  
Coupling Loss ◽  
Vibration Transmission ◽  
Resonant Coupling ◽  
One Dimensional ◽  
Model Predictions

The transmission of vibration through a symmetric junction is considered. The problem is introduced using a stretched string with a general point attachment, and then a result is derived which encapsulates the important aspects of the transmission behaviour for a wider class of systems. These are systems that consist of two semi-infinite sections of identical, one-dimensional structure having only one propagating wavetype (but any number of evanescent ones), joined through any linear system that satisfies a condition of symmetry. For such systems, it is shown that there will in general be a set of frequencies of perfect transmission and perfect reflection, in a number and pattern which can be described in terms of the behaviour of the junction alone. Representative examples are presented, based on the behaviour of bending beams and thin circular cylinders with attached structures providing wave reflection. The implications of this result are explored for SEA coupling loss factors, and for the interpretation of SEA model predictions when such resonant coupling structures are present.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

Sign in / Sign up

Export Citation Format

Share Document