The goal is to solve an optimization problem for the electrostatic field as a function of space coordinate for a given particle trajectory and AC field. Both, pure numeric optimization methodology as well as variation of parameters methods will be used.
Project description:
The THz frequency range lies between what is known as microwaves and the infrared light. For long it was of interest primarily in astronomy, mostly for interstellar dust observation, but in the last decade, attention of a wide scientific and technological community to this frequency range had grown exponentially. The reason is the unique properties of the THz radiation. In many cases millimeter or sub-millimeter wavelengths allows considering the THz radiation as obeying geometrical optics laws and thus be suitable for imaging applications. As THz photon energy is still low compared to a typical dielectric band gap THz radiation may propagate in matter similarly to microwave radiation. In addition, many dielectrics have a unique spectral signature in the THz range, allowing for remote recognition of material properties. All these properties makes THz technology a unique tool for spectroscopy and imaging applications allowing ‘see’ through objects without ionizing radiation, remote sensing and radar with mm-level resolution able to penetrate fog and clouds, wideband communication, medicine and biology, etc.
One of the primary limitations for usage of THz frequencies is a lack of efficient and practical radiation sources. We evaluate a novel approach to THz vacuum electronic device intending to overcome or migitate considerably limitations of known techniques. The proposed paradigm involves the solution of a nonlinear electrodynamic problem considering interaction of charged particles with a superposition of static and dynamic EM fields.
Specifically, in the framework of this project we consider an equation of motion for a changed particle in a known AC field and an unknown space-dependent electrostatic field. The goal is to solve an optimization problem for the electrostatic field as a function of space coordinate for a given particle trajectory and AC field. Both, pure numeric optimization methodology as well as variation of parameters methods will be used.
The essence of the project is the physics of interaction between a free charged particle and an EM field.
Background required:
- Basics of calculus, differential equations, integral transforms
- Hands-on experience with MATLAB or Python
Supervisor : Miron Voin