History diff of Ben(Open)(No. 6)

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This is Ben's logbook for Nano Japan project from 2014.6.9-2014.7.31. 

#contents

* Daily schedule [#daily]
- 09:00-10:00 Discussion (1)
- 10:00-12:00 Solve the problem and write the progress on pukiwiki
- 12:00-13:30 Lunch
- 13:30-14:30 Discussion (2)
- 14:30-16:30 Solve the problem and write the progress on pukiwiki
- 16:30-17:30 e-mail report and problems

* Goal of the project. [#goal]

- To describe the coupling between plasmons in graphene and EM waves. The result of this coupling is a wave called a surface plasmon polariton (SPP).
- Keywords: Surface plasmon, graphene, coupling, surface plasmon polariton.

* Schedule for Discussion [#discussion]
|Date|Month|Day|Time|Tutor|Topic|
|10|June|Tue|09:00-10:00|Shoufie|Mathematics : Differential Operator & Curvilinear Coord.|
|10|June|Tue|13:00-14:00|Thomas|Dielectric Function of Free Electron Gas(B)|
|11|June|Wed|09:00-10:00|Shirakura&Inoue|Maxwell Equation and EM Wave Function(B)|
|11|June|Wed|13:00-14:00|Hasdeo|Graphene Band Structure|
|12|June|Thu|09:00-10:00|Nugraha|Plot and Programming (dielctric function, band structure)|
|12|June|Thu|13:00-14:00|-|Group Meeting|
|13|June|Fri|09:00-10:00|Mizuno|Programming with mathematica|
|13|June|Fri|13:00-14:00|Pourya|	Mathematics : ODE and PDE|
|16|June|Mon|09:00-10:00|Shoufie|Dielectric function in Real Metals and Interband Transition(B)|
|16|June|Mon|13:00-14:00|Siregar|The Wave Equation (Surface Plasmon Polariton) (TM,TE)(B)|
|17|June|Tue|09:00-10:00|Shoufie|Surface Plasmon Polariton (SPP) in Single Interface(B)|
|17|June|Tue|13:00-14:00|Thomas|SPP in Multilayer System(B)|
|18|June|Wed|09:00-10:00|Shirakura&Inoue|Electrodynamics Problem Solutions|
|18|June|Wed|13:00-14:00|Hasdeo|Prism Coupling  SPP(B)|
|19|June|Thu|09:00-10:00|Pedro|Finite element methods|
|19|June|Thu|13:00-14:00|-|Group Meeting|
|20|June|Fri|09:00-10:00|Mizuno|Grating Coupling SPP(B)|
|20|June|Fri|13:00-14:00|Shoufie|Plasmon Dispersion in graphene|

- Tutorial takes place in Coffee room, since visitor room will be occupied with many people
-(B) means the topic is taken from book : Plasmonics Fundamentals and Applications

* Questions and Answers [#QA]

- This section is for posting questions from Ben-san and answers from other group members.
- Please list here with some simple reasons or details.
- For every problem, give a tag double asterisks (**) in the code so that it will appear in the table of contents.
- For the answer, give a tag triple asterisks (***) in the code below the problem in order to make a proper alignment.
- List from new to old.

** Question: Equations on Pukiwiki [#Q-EQ]
Hello! I don`t need this information right away, but it might be useful in the future. How do you input equations and formulas into pukiwiki? I heard it is similar to Latex, but I`m not very familiar with Latex either. Thanks.

*** Answer: Equations on Pukiwiki [#A-EQ]
- For a basic guide on Latex, please read this: http://tobi.oetiker.ch/lshort/lshort.pdf
You will also need Latex when writing the final report of Nano Japan project.
- Now, for our purpose in this pukiwiki page, you can simply insert Latex equation by inserting "dollar" symbol before and after any Latex code. For example, to show E=mc^2 properly, you need to write:
 $E=mc^2$
which will be shown as:
$E=mc^2$
- Some practical examples:
--velocity:
 $v = \frac{dx}{dt}$
gives:
$v = \frac{dx}{dt}$
--magnetic dipole:
 $\nabla \times \vec{B} = 0$
gives:
$\nabla \times \vec{B} = 0$
--work
 $W = \int_{a}^{b} F \cdot d\vec{r}$
gives:
$W = \int_{a}^{b} F \cdot d\vec{r}$

* Report [#report]

** June 11 [#june11]
- Managed to make it to lab on my own and on time (yay!).
- Shirakura-san and Inoue-san gave me a lecture on Maxwell`s equations and EM waves. It was largely review, but it was good practice for communicating with non-native English speakers.

** June 10 [#june10]
- Hasdeo-san picked me up from Urban Castle and showed me another bus stop nearby.
- Shoufie-san gave me a lecture on differential operators, generalized so that they can be used in curvilinear coordinates. He assigned me some homework problems due in the afternoon, mostly taking the curl or divergence of different functions in different coordinate systems.
- Met Sumino-san.
- Finished Shoufie-san`s homework before going to lunch. Will try to upload to pukiwiki soon.
- Had lecture on the dielectric function with Thomas-san. Homework is to describe physically and derive the plasma frequency, as well as give the relation between the dielectric function and the complex refractive index.
- Had my discussion with Saito-sensei. He asked me to calculate the plasma frequency of 1 cm^3 of Copper, and to use this to find the typical plasmon energy in Copper.

** June 9 [#june9]
- Thomas-san picked me up from Urban Castle Kawauchi (UCK). He showed me how to get to the lab, and the location of the bus stop. 
- I was introduced to the other lab members, Saito-sensei, and the secretaries.
- Saito-sensei, Hasdeo-san, and Thomas-san set up a computer for me to use in the guest office. 
- Hasdeo-san and Thomas-san helped me set up an account on Xming and helped me get a Thunderbird email account.
- Looked up material regarding plasmons, plasma oscillations, phonons, and polaritons.
- Saito-sensei gave me homework of describing what is a plasmon, and to describe using equations.
-- A plasmon comes from a plasma oscillation in a metal. 
-- It is a quasi-particle that is the quanta of these oscillations.
-- To describe plasmons, we use the plasma model of free electrons.
-- The equation of motion of an electron in a plasma sea is:
--- mx`` + m(lambda)x` = -eE , where we assume E(t) = E0 * e^(-iwt)
-- The particular solution is
--- x(t) =  e / [m(w^2 + i(lambda)w)] * E(t)
-- will try to write these equations using LaTex code soon.
History diff of Ben(Open) (No. 6)
