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Iterative Fourier approach for describing linear, multiple plane, coherent optical processors.
Applied Optics
|March 10, 2010
Summary
This study simplifies optical processor descriptions to an iterative Fourier transform and multiply procedure. This approach enables more tractable models for synthesizing and analyzing optical processor systems.
Area of Science:
- Optics
- Optical Processing
- Mathematical Modeling
Background:
- Optical processors are complex systems.
- Describing their function often requires intricate mathematical frameworks.
- A need exists for simplified and tractable models for system synthesis and analysis.
Purpose of the Study:
- To demonstrate that general multiplane coherent optical processors can be described by an iterative Fourier transform and multiply procedure.
- To introduce a notational change for a more accessible system description.
- To facilitate the investigation of linear operations within optical processor systems.
Main Methods:
- Formal mathematical description of optical processors.
- Reduction to an iterative Fourier transform and multiply procedure.
- Analysis of system synthesis using simplified models.
Main Results:
- Any general, multiplane, coherent, optical processor can be mathematically described as an iterative Fourier transform and multiply procedure.
- This simplified description leads to more tractable models for system synthesis.
- The feasibility of performing linear operations can be explored through Fourier transform and multiply operations.
Conclusions:
- The iterative Fourier transform and multiply procedure offers a powerful and simplified approach to describing optical processors.
- This method enhances the ability to synthesize and analyze optical processor systems.
- It provides a framework for investigating the realizability of linear operations in optical systems.
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