V 4.0
AN
EXCELLENT
BORING
PRESENTATION
FOR 2 REASONS.

AN
EXCELLENT
BORING
PRESENTATION
FOR 2 REASONS. I GUESS SO.

BORING
BECAUSE
#1
too many equations. text. garbage.

EXCELLENT
BECAUSE
storytelling.

BORING
BECAUSE
#2
random blah blah. bad storytelling.

GET READY
to be bored.

ISHTIAQUE ZICO / BANGLADESH

RIGHT!
THAT’S
MY NAME
ISHTIAQUE ZICO / BANGLADESH

AND
MY
COUNTRY
ISHTIAQUE ZICO / BANGLADESH

MY BIO
INDEPENDENT
FILMMAKER
WRITER. ALSO.

I LOVE IDEAS,
EXPERIMENT &
LIMITATION
twitter.com/iazico

& ENJOY
WORKING WITH
RUPANTOR
MICROCINEMA TEAM

BUT ONCE
I STUDIED
MATHEMATICS
UNDERGRAD. BORING.

I HAD TO MAKE
PRESENTATION WITH
MATHEMATICS
THAT’S WHY BORING

AND THIS
PRESENTATION DEALS
SCATTERING THEORY
ALSO SCARING

SO LET’S EXPLORE
INVERSE SCATTERING &
SCATTERING BLAH BLAH
YOU ARE WARNED.

& WHAT IS SCATTERING
deflection of subatomic particles

& WHAT IS
subatomic particles

GOOGLE. PLEASE.
[search]
subatomic particles

ALWAYS.
I would do the same thing.

SCATTERING. EXAMPLE.
Wave scattering
Sunlight scattered by rain drops

SCATTERING. EXAMPLE.
Particle scattering
The motion of billiard balls

SCATTERING. EXAMPLE.
Particle scattering
The motion of billiard balls

SCATTERING. EXAMPLE.
Particle scattering
The motion of billiard balls

TIPS #1
To make your
presentation boring,
never insert photo.
like me.

TIPS #1
To make your
presentation boring,
never insert photo.
use clipart.

Direct Scattering Problem
Scatterer
Spectrum

AND TIPS #2
use
symbol. jargon. whenever you can.

Direct Scattering Problem
Sturm-Liouville equation
CONSIDER :
 xx  (  u ( x))  0
Eigenvalue Potential Eigenfunction
(t=0)
INPUT : Potential
OUTPUT : Spectrum

Direct Scattering Problem
Ha Ha Ha…
CONSIDER :
SOMETHING WAS HERE
Eigen blah Blah Eigen blah
(t=0)
INPUT : blah
OUTPUT : BLAH

Direct Scattering Problem
Ha Ha Ha…
CONSIDER :
blah BLAH
Eigen blah Blah Eigen blah
(t=0)
INPUT : blah
OUTPUT : BLAH

Direct Scattering Problem
Spectrum Types
spectrum { , }
discrete continuous
 = negative  = positive
 = blah blah  = again blah

Direct Scattering Problem
Graph : When Discrete
1
0.8
0.6
0.4
0.2
-6 -5 -4 -3 -2 -1
eigenfunction decays exponentially

Direct Scattering Problem
And when continuous
u
Transmitted Reflected
Incident
v

HA HA HA…
TIPS #3
use 1980s style graph!

Direct Scattering Problem
Example | Direc Delta*
u ( x)  U 0 ( x)
, x  0
 ( x)  
 0, x  0
* distribution, not function.

ENOUGH.
Next.

Inverse Scattering Problem
Spectrum
Scatterer

Inverse Scattering Problem
Just the inverse
BLAH blah
INPUT : Spectrum
OUTPUT : Potential

INPUT BECOMES OUTPUT.
and vice versa.

BORED?
not yet?
you will be.

Inverse Scattering Problem
Our Goal
 xx  (  u )  0
k 2
 xx  (k  u )  0
2

Inverse Scattering Problem
Our Boredom
 The solution is assumed to be:

  ( x; k )  e ikx
  K ( x, z )e dz ikz
x
MAGIC
 ˆ
dK  
 e ikx  u  2    ( K xx  K zz  u ( x) K )e ikz dz  0
 dx  x
 

Inverse Scattering Problem
Sorry
 From Cauchy’s theorem we get:

 (  e ikx
ˆ )e dz  0
ikz

MAGIC. AGAIN.
  C    B 

Inverse Scattering Problem
One More
 Input particle energy = variable
 Impact parameter = constant
BORED?

K ( x, z )  F ( x  z )   K ( x, z ) F ( y  z )dy  0
x

Inverse Scattering Problem
Almost Done
Scattering
U(x,0) S(0)
Time
KdV
Inverse Scattering
U(x,t) S(t)

IN BRIEF HISTORY OF TIME
STEPHEN HAWKING SAID,

STEPHEN HAWKING SAID,
every equation
helps to lose the readers by half.

SOMETHING LIKE THIS.
every equation
helps to lose the readers by half.

HA HA HA…
how many equations
I have used here?

OOPS.
you there?

HELLO.
anybody?

SORRY.
forget everything I said.

THE END
of boredom.

NOW
BLAME ME OR
GOOGLE ME OR

rupantor.blogspot.com
VISIT MY CINEMA TEAM BLOG.

AND
THANK ME
FOR BORING YOU.

ALSO
THANK YOURSELF
FOR YOUR PATIENCE.