This presentation is a witty journey to boredom. In an excellent way.
Holding attention is important in storytelling.
Storytelling is important in a presentation.
presentation is important in any project.
No matter how boring the topic is.
36. Direct Scattering Problem
Example | Direc Delta*
u ( x) ๏ฝ ๏ญU 0๏ค ( x)
๏ฌ๏ฅ, x ๏ฝ 0
๏ค ( x) ๏ฝ ๏ญ
๏ฎ 0, x ๏น 0
* distribution, not function.
43. Inverse Scattering Problem
Our Boredom
๏จ The solution is assumed to be:
๏ฅ
๏น ๏ซ ( x; k ) ๏ฝ e ikx
๏ซ ๏ฒ K ( x, z )e dz ikz
x
MAGIC
๏ฆ ห
dK ๏ถ ๏ฅ
๏ญ e ikx ๏ง u ๏ซ 2 ๏ท ๏ซ ๏ฒ ( K xx ๏ญ K zz ๏ญ u ( x) K )e ikz dz ๏ฝ 0
๏ง dx ๏ท x
๏จ ๏ธ
44. Inverse Scattering Problem
Sorry
๏จ From Cauchyโs theorem we get:
๏ฅ
๏ฒ (๏น ๏ญ e ๏ญikx
ห )e dz ๏ฝ 0
ikz
๏ญ๏ฅ
MAGIC. AGAIN.
๏น ๏ฝ C ๏น ๏ซ ๏ฝ B๏น ๏ญ
45. Inverse Scattering Problem
One More
๏จ Input particle energy = variable
๏จ Impact parameter = constant
BORED?
๏ฅ
K ( x, z ) ๏ซ F ( x ๏ซ z ) ๏ซ ๏ฒ K ( x, z ) F ( y ๏ซ z )dy ๏ฝ 0
x