Transcript Multiple_scattering

EFFECTS OF ABSORPTION ON MULTIPLE
SCATTERING BY RANDOM PARTICULATE
MEDIA
R96941064
光電碩一 洪于晟
Reading this paper, just like go to
see the camel happily, but biting by
the camel eventually……. 囧rz
OUTLINE
1. Concept of multiple scattering
(I) Equation (II) Physical interpretation
2. Numerical results
(I) Stokes scattering matrix (II) Discussion
CONCEPT OF MULTIPLE SCATTERING
(I) EQUATION

Superposition Principle
i=1
r
i=2
i=3

Vector Foldy-Lax equation
Einc
which is the electric field
“exciting” particle i
CONCEPT OF MULTIPLE SCATTERING
(I) EQUATION
dyadic transition operator of particle i that computed
in the absence of all the other particles
CONCEPT OF MULTIPLE SCATTERING
(II) PHYSICAL INTERPRETATION
incident
only
incident
wave
TAKE A BREAK
NUMERICAL RESULTS
(I) STOKES SCATTERING MATRIX

Review：Stokes parameters
A damn good tool to solve the optical
system ( Optic: Hecht 4th 8.13 or
Principle of Optics: Born and Wolf)
So sphere
NUMERICAL RESULTS
(I) STOKES SCATTERING MATRIX
NUMERICAL RESULTS
(I) STOKES SCATTERING MATRIX

Mueller optical system design matrix
Linear polarizer
(Horizontal
Transmission)
Linear polarizer
(Vertical
Transmission)
Linear polarizer
(+45°
Transmission)
Quarter wave plate
(fast-axis vertical)
Quarter wave
plate (fast-axis
horizontal)
Half wave plate
(fast-axis
vertical)
Linear polarizer (-45°
Transmission)
Attenuating
filter (25%
Transmission)
NUMERICAL RESULTS
(I) STOKES SCATTERING MATRIX


Use the Mueller matrix and Stokes parameters,
we can visit the Stokes scattering matrix
NUMERICAL RESULTS
(II) DISCUSSION
It’s well known that absorption can be an
efficient suppressant of multiple scattering and
reduce the average length of multiple-scattering
path.
 We don’t want to produce the large absorption
that reducing the fields.

NUMERICAL RESULTS
(II) DISCUSSION
Strengthened depolarization effect
Multiple absorption
(theorem)
Multiple
absorption
Multiple
scattering
albedo
NUMERICAL RESULTS
(II) DISCUSSION
Imaginary part
Umov effect
oscillation