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Nonuniqueness of optical theorem detectors.

Edwin A Marengo

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|November 13, 2015

Summary

This study introduces novel methods to measure scattering power, extending classical optical theorems to near-field interactions. These findings enable advanced scattering power sensing for diverse optical phenomena.

Area of Science:

Optics and Photonics
Electromagnetism
Scattering Theory

Background:

The classical optical theorem relates scattering cross-section to the imaginary part of the forward-scattering amplitude.
Existing methods for measuring scattering power are limited, especially for complex or near-field interactions.

Purpose of the Study:

To demonstrate and discuss diverse methods for measuring the extinct power of a scatterer.
To extend scattering power measurement techniques to general probing fields, including near fields with evanescent components.

Main Methods:

Development of novel optical theorem detectors based on Kirchhoff-Helmholtz and Rayleigh-Sommerfeld formulations.
Application of diffraction, backpropagation, and boundary-value problem formulations.
Utilizing canonical multipole expansion for scattering analysis.

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Main Results:

Derivation of novel expressions for extinct power using incident and scattered fields.
Demonstration of methods applicable to both plane wave and general field excitations.
Validation of techniques for scattering power sensing using near-field data.

Conclusions:

The study provides a comprehensive framework for measuring scattering power with enhanced applicability.
Novel detectors and expressions offer new tools for optical characterization and sensing.
The findings are crucial for advancing near-field optics and scattering phenomena analysis.