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Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Published on: March 20, 2017

Optical wave fields with lateral and longitudinal periodicity.

Jürgen Jahns¹, Adolf W Lohmann

¹FernUniversität Hagen, Optische Nachrichtentechnik, Universitätsstrasse 27, 58084 Hagen, Germany. jahns@fernuni-hagen.de

|June 23, 2009

Summary

This study explores wave propagation in a Fabry-Perot resonator with structured mirrors, revealing how lateral and longitudinal periodicity influence wave behavior and enable bandgap formation for optical device design.

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Area of Science:

Optics and Photonics
Wave Phenomena
Materials Science

Background:

Understanding wave propagation in periodic structures is crucial for optical device design.
Fabry-Perot resonators are fundamental optical cavities with applications in lasers and filters.
Periodically structured optical components offer unique control over light propagation.

Purpose of the Study:

To investigate the propagation of stationary wave fields with simultaneous lateral and longitudinal periodicity.
To model wave behavior in a Fabry-Perot resonator with periodically structured mirrors.
To analyze how structural parameters affect the modal structure and transmission properties of the wave field.

Main Methods:

Utilized a Fabry-Perot resonator model with periodically structured mirrors.
Applied monochromatic plane wave illumination.
Analyzed the angular spectrum of the transmitted wave field.
Investigated the influence of the ratio of lateral to longitudinal periods and mirror reflectivity.

Main Results:

The angular spectrum decomposes into lateral and longitudinal components.
The modal structure is highly dependent on the ratio of periods and mirror reflectivity.
Bandgap behavior can be achieved even when periods exceed the wavelength.
Demonstrated control over wave propagation through structural periodicity.

Conclusions:

The interplay between lateral and longitudinal periodicity significantly impacts wave field propagation.
Periodic structures in Fabry-Perot resonators offer a pathway to engineer optical bandgaps.
Findings are applicable to the design of advanced optical components like phase-coupled array resonators and multiplexers.