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Quasi-light Storage for Optical Data Packets

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Bandlimiting effects in an optical Laplace transform computer.

M R Mueller, F P Carlson

|February 16, 2010

Summary

This summary is machine-generated.

This study introduces a novel Laplace transform computer for optical processing, overcoming limitations of traditional Fourier transforms. A convergence filter is developed to address spatial bandlimiting, enhancing the system's practical applications.

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Area of Science:

Optics and Photonics
Information Theory
Computer Science

Background:

Coherent optical systems traditionally rely on Fourier transforms for data processing.
Existing methods face limitations in spectrum manipulation and computational scope.
Previous theoretical work suggested Laplace transformers but lacked physical realization.

Purpose of the Study:

To describe a physical implementation of a Laplace transform computer for coherent optical systems.
To investigate and address the limitations of spatial bandlimiting in such processors.
To develop methods for creating specialized spatial filters, including convergence filters.

Main Methods:

Modification of the Green function kernel in the Rayleigh-Sommerfeld diffraction integral.
Development and description of a Laplace transform computer architecture.
Design and fabrication methods for spatial filters, specifically a convergence filter.

Main Results:

A functional Laplace transform computer for optical processing was designed and described.
Spatial bandlimiting was identified as a key restriction impacting the computer's utility.
A convergence filter was developed to mitigate bandlimiting effects, improving processor performance.

Conclusions:

The described Laplace transform computer offers an alternative to Fourier transform-based optical processing.
The convergence filter effectively compensates for spatial bandlimiting, broadening the applicability of optical processors.
This work paves the way for advanced optical data processing beyond conventional Fourier analysis.