The document discusses the author's experience and qualifications for a potential job or research opportunity. Specifically, it covers:
1) The author's educational background in physics and mathematics in Russia and experience programming in C/C++ and MATLAB.
2) Their master's research on using MATLAB to model plasma density and current measurements, including developing algorithms and GUI tools.
3) Their plans to soon publish their master's thesis, pass remaining exams, and desire to continue research for a PhD with a focus on continuum mechanics.
1. · Умение по-английски рассказать о себе, о своем опыте, о целях/пожеланиях к работе
· Рассказать по-английски про опыт работы на MATLAB, список реализованных проектов, какие тулбоксы
использовали, визуализация, интерфейсы, и т.д.
· Рассказать по-английски про свою научную деятельность, важные опубликованные статьи, выступления
на конференциях, рассказать про суть своей дипломной работы, о планах по защите диссертации.
I finished gymnasium #5 here in Novosibirsk in class of Mathematics and Physics. Then I passed entrance
(preliminary) examination to NSU Physics Department. First 2 courses I wasn’t a conspicuous person, and
electromagnetism was attracting me.
I was successful in C/C++ programming during NSU courses and managed to apply and improve my skills in free time.
So, firstly I created a program that solves some puzzle-game called ‘aqua-splash’ by kado-kado. It was chosen
because it had no time limit. But that game was written on flash, so initial data input was manual. Also, I created a
GUI based on opengl to visualize numeric experiments results at the course of computational mathematics. That
dynamic GUI could draw a plot of function, vary scale, print a screenshot to file, interact with mouse to show any
data plot point. This course contained difference schemes on some differential equations. So, applied methods were
realized in Visual Studio using class of matrix in order to simplify code. I managed to create own class of matrixes
with number of functions such as invert, transpose and determinant using operator overloading. Also, I defined a
series of operator like addition, subtraction, multiplication. And, I should say that my standard method to calculate
the determinant was more powerful than one used in Mathcad.
On third course continuum physics was lectured. I noticed that major part of students didn’t like it at all. But I was
fascinated by that subject, therefore, I felt like I should pick this subject as my future specialty. That’s why I asked
A.D. Beklemishev the lecturer of this course to be my scientific advisor. He was interested in my marks on specific
subjects, asked some teachers to characterize me and later after next lecture he approved (admitted) me. He
introduced to me the extremely significant to Plasma Laboratory task to recover the plasma density of high energy
ions on their diamagnetic current measurements and inquired if I’m interested in. That was the initial point of our
collaboration work. And my scientific advisor insisted on using matlab to programming as according to him this
computing environment is broadly used by scientists all over the world. Despite I used to C/C++ programming, from
that moment I started to learn Matlab.
He told me that on the Gas Dynamic Trap and GOL-3 (I guess there is no precise translation of this abbreviation to
English, but verbatim translation is ‘corrugate (or goffered) open trap(cylinder multi-mirror trap)) experiments are
carried out on plasma heating and confining with high gyro radius, which corresponds to distance of 1/3 to ½ of
plasma flux. As it has appeared later, there is no theory to describe the plasma through angular current of high gyro
radius particles. Thus, this work was counted to be perspective.
Firstly, the pattern of my thesis was following: in the infinite length cylinder of radius R with the longitudinal
homogeneous magnetic field Bz particles are maintaining with same mass m and energy E possessing longitudinal
velocity v_long and transversal v_tr relative to axis of cylinder. Apparently, if model describes only stationary
solution, there should be a connection between n(r) and j(r) in such configuration (can ask to draw a plot), but at
current point there is no any value obtained by experiments carried out to determine a link. Thus, we introduced an
artificial weight function called F(r_+), where r_+ is maximum deviation of single particle of plasma flux with
arbitrary initial data. This function is charged to be a common function in integral expressions for n(r) and j(r) and
cannot be measured.
n(r ) F ( x )G( x, x )dx
2.
j (r ) F ( x )G( x, x )dx
(demonstrate a domain of G(r,r_+), function G(r_k,r_+), vertical asymptotes to curve, Tailor series idea, delta
choosing )
Therefore, an inverse problem should be solved to achieve the goal of the thesis.
I should make a remark here that in case of homogeneous magnetic field to find the integral core G(x,x_+) there was
applied a method of averaging the precise particle position. And we made a transition to heterogeneous magnetic
field, and there was used a Lagrange mechanics approach to find required values expressions for v_long and v_trans.
And, particularly, the polynomial interpolation of experimental magnetic field data points was done(curve fitting
toolbox).
If, as it was suggested, diamagnetic current j(r) values are known in some array r_1 .. r_N values measured by an
experiment ,then we can decompose F(r_+) trough P basis polynomials with unknown multipliers C_i. Then,
following system of equations is true:
j1 (r1 ) j P (r1 ) C1 j (r1 )
j (r ) j P (rN ) C P j (rN )
1 N
This system of equation was solved by matlab function linsolve in editor. Results for low and high energies were
extremely precise. But, at the moment after defending the bachelor’s thesis I had no publications. I had at least 4
speeches on Plasma Laboratory local seminars for senior researchers. And every time there was the same comment:
«It’s known that distribution function of hot ions is quite heterogeneous, but in your work it is constant. When and
how will you take this distribution function into consideration? ». That was the main reason I have no publications.
My scientific advisor convinced me that Plasma Laboratory is not interested in publishing this work at current state. I
was really disappointed by these news, but I just sighed and that how was started work on master’s thesis. Today,
the theory actually takes into consideration hot ion distribution function and now it can resolve this analogue inverse
problem with high precision, but, certainly, model has sophisticated. And GUI has been done as well, 1 mouse click is
needed to launch the program with default parameters. I made it by gui Development Environment in
matlab(toolbox). Currently I am finishing the master’s thesis and then I going to publish it immediately after all
corrections my scientific advisor will find there.
For this studying year, I have to make a publishing, as I said, pass 3 remaining subjects exams, and defend my
reviewed master’s thesis. So, I will have a plenty of free time in nearest future.
I really enjoy the continuum mechanics and want to spend more time on it with higher salary. And I would certainly
take an opportunity to continue intensive learning English and obtain PhD degree.