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Holographic representation of space-variant systems: system theory
Applied Optics
|February 19, 2010
Summary
System theory is used for holographic representation of linear space-variant systems. The piecewise isoplanatic approximation (PIA) method is shown to be a versatile tool for analyzing various optical systems.
Area of Science:
- Optics and Photonics
- System Theory
- Holographic Representation
Background:
- Linear space-variant systems pose challenges for traditional analysis methods.
- Holographic representations offer a powerful framework for understanding complex systems.
Purpose of the Study:
- To derive a system theory for holographic representation of linear space-variant systems.
- To introduce and validate the piecewise isoplanatic approximation (PIA) method.
Main Methods:
- Development of a system theory based on holographic principles.
- Application of the piecewise isoplanatic approximation (PIA) to invariant systems, ideal magnifiers, and Fourier transformers.
- Comparison with the discrete approximation method.
Main Results:
- A novel system theory for holographic representation of linear space-variant systems was derived.
- The piecewise isoplanatic approximation (PIA) demonstrated utility in analyzing various optical systems.
- The discrete approximation was identified as a special case of the PIA.
Conclusions:
- The derived system theory and PIA provide an effective approach for analyzing linear space-variant systems.
- The PIA offers a generalized framework for holographic representation in optical system analysis.
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