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The frustrated total reflection filter. 1. Spectral analysis.

L Bergstein¹, C Shulman

¹Polytechnic Institute of Brooklyn, NewYork, USA.

|January 6, 2010

Summary

Finite lateral dimensions significantly alter frustrated total reflection (FTR) filter transmission properties. Unbounded wave theory is inadequate for FTR filters, even with large dimensions compared to wavelength.

Area of Science:

Optics and Photonics
Electromagnetism
Materials Science

Background:

Frustrated Total Reflection (FTR) filters are crucial optical components.
Analysis of FTR filters typically assumes infinite lateral extent.
Experimental data suggests limitations of current theoretical models.

Purpose of the Study:

To develop a theory for analyzing FTR filters with finite lateral dimensions.
To investigate the impact of finite size on FTR filter transmission properties.
To determine the applicability of unbounded wave theory to FTR filters.

Main Methods:

Utilized the method of modal expansion.
Developed a theory for layered systems of finite lateral extent.
Applied the theory to calculate spectral transmission properties of FTR filters.

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Main Results:

Finite lateral dimensions significantly affect FTR filter transmission.
The developed theory accurately predicts spectral transmission.
Results align with existing experimental data.

Conclusions:

Unbounded wave theory is insufficient for analyzing FTR filters.
Finite size effects are critical even for filters much larger than the wavelength.
The new theory provides a more accurate framework for FTR filter analysis.