Understanding the Gerchberg-Saxton Algorithm through Convex Optimization

  • Thread starter Thread starter j-lee00
  • Start date Start date
  • Tags Tags
    Algorithm
AI Thread Summary
The Gerchberg-Saxton algorithm is used to retrieve the phase of a wave from a diffraction pattern when the object's dimensions are unknown, addressing the "phase problem." The algorithm operates through an iterative process that alternates between the diffraction plane and the object plane, refining the phase estimate with each iteration. Understanding the mathematical foundation of the algorithm can be enhanced through resources like the suggested ResearchGate paper, which connects the algorithm to convex optimization principles. This iterative method aims to converge on a solution that accurately represents the phase of the wave. Mastery of the Gerchberg-Saxton algorithm is crucial for applications in imaging and signal processing.
j-lee00
Messages
93
Reaction score
0
Please help me understand the Gerchberg–Saxton algorithm

what I comprehended so far

1) A source is shone on an object and produces a diffraction pattern in the diffraction plane. We do not know the dimensions of the object.

2) We are unable to calculate the phase of the of the wave, due to the "phase problem"

Now we want to computationally find the phase of the wave that is produced in the diffraction plane


I do not understand how the Gerchberg–Saxton algorithm works. i.e. how we improve to get a closer phase through the iterative method

Thanks
 
Physics news on Phys.org
If you have checked Wikipedia and your doubts are still not clear, trying reading this paper available freely at ResearchGate:

https://www.researchgate.net/publication/11281090_Phase_retrieval_Gerchberg-Saxton_algorithm_and_Fienup_variants_A_view_from_convex_optimization
 

Thread 'The Physics of unloading sand from a barge'

I think it's easist first to watch a short vidio clip I find these videos very relaxing to watch .. I got to thinking is this being done in the most efficient way? The sand has to be suspended in the water to move it to the outlet ... The faster the water , the more turbulance and the sand stays suspended, so it seems to me the rule of thumb is the hose be aimed towards the outlet at all times .. Many times the workers hit the sand directly which will greatly reduce the water...
View full post »

Thread 'Why can't Solar panels be hemispherical, or a curved strip type?'

comparing a flat solar panel of area 2π r² and a hemisphere of the same area, the hemispherical solar panel would only occupy the area π r² of while the flat panel would occupy an entire 2π r² of land. wouldn't the hemispherical version have the same area of panel exposed to the sun, occupy less land space and can therefore increase the number of panels one land can have fitted? this would increase the power output proportionally as well. when I searched it up I wasn't satisfied with...
View full post »

Similar threads

I Understanding Ewald's sphere in the context of X-Ray diffraction
Replies
3
Views
5K
A Diffraction theory, power density and angle of incidence
Replies
5
Views
3K
I Gradient descent algorithm and optimizers
Replies
5
Views
2K
Fast reciprocal square root algorithm
Replies
30
Views
6K
How to Implement Beamforming in Ultrasound Diffraction Tomography
Replies
1
Views
3K
Abbe theory: diffraction pattern to primary image
Replies
12
Views
3K
Fourier shifting theorem in diffraction
Replies
1
Views
1K
A How to compute phase gradient from Snell's law?
Replies
1
Views
2K
A Algorithmic information theory's QM view of reality
Replies
2
Views
2K
Optimization Programming - Which Algorithm?
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top