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Vernier scaling in shortened optical correlators.

M D Drake, G B Franks, R O Siewert

|June 26, 2010

Summary

Vernier transform scaling is achieved in a shortened optical correlator by repositioning the spatial light modulator (SLM). This method alters the Fourier transform scale without affecting the transform plane position, enabling efficient optical scaling.

Area of Science:

Optics
Optical Engineering
Signal Processing

Background:

Optical correlators are essential for pattern recognition and image processing.
Achieving variable scaling in optical correlators often requires complex setups.
Spatial Light Modulators (SLMs) are key components in modern optical systems.

Purpose of the Study:

To demonstrate a novel method for Vernier transform scaling in a compact optical correlator.
To investigate the effect of SLM positioning on Fourier transform scale and position.
To provide a simplified approach for achieving scale adjustments in optical processing.

Main Methods:

Implemented a shortened optical correlator configuration.
Positioned the input spatial light modulator (SLM) between a telephoto transform lens pair.

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Translated the SLM along the optical axis to induce scaling effects.

Main Results:

Successfully achieved Vernier transform scaling by adjusting the SLM position.
Demonstrated that SLM translation modifies the Fourier transform scale.
Confirmed that the position of the transform plane remains invariant to SLM translation.

Conclusions:

The proposed method offers an effective and simple way to achieve variable scaling in optical correlators.
Placing the SLM between the telephoto lens pair is crucial for this scaling technique.
This technique simplifies the design of optical correlators requiring scale-tunable Fourier transforms.