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Related Experiment Video

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Digital Inline Holographic Microscopy (DIHM) of Weakly-scattering Subjects

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Published on: February 8, 2014

Decoding divergent series in nonparaxial optics.

Riccardo Borghi¹, Franco Gori, Giorgio Guattari

¹Dipartimento di Elettronica Applicata, Università Roma Tre, Rome, Italy. borghi@uniroma3.it

|March 16, 2011

Summary

This summary is machine-generated.

This study analyzes the divergence of perturbative series in optical beam propagation. It predicts factorial divergence and explains numerical results using the Weniger transformation.

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Area of Science:

Optics and Photonics
Theoretical Physics

Background:

Perturbative series are crucial for analyzing optical beam propagation.
Nonparaxial propagation of vectorial optical beams presents challenges in theoretical analysis.

Purpose of the Study:

To investigate the divergent nature of perturbative series in free-space nonparaxial propagation of vectorial optical beams.
To provide a theoretical framework for interpreting numerical experiments.

Main Methods:

Theoretical analysis of perturbative series divergence.
Application of the Weniger transformation for series decoding.

Main Results:

Factorial divergence is predicted for perturbative series in this context.
The Weniger transformation provides a meaningful interpretation of numerical results for vectorial Gaussian beams.

Conclusions:

The theoretical framework successfully explains the behavior of perturbative series in nonparaxial optical beam propagation.
The Weniger transformation is a key tool for decoding and understanding these series.