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Exceptional points and photonic catastrophe.

|June 16, 2018

Summary

This summary is machine-generated.

Exceptional points (EPs) in coupled optical systems cause eigenfunction pairs to collapse, drastically altering light propagation. This sensitivity mirrors catastrophic events, impacting beam diffraction and Bloch oscillations in waveguide lattices.

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Area of Science:

Physics
Optics
Nonlinear Dynamics

Background:

Spatially extended optical systems with balanced gain and loss can exhibit complex behaviors.
Exceptional points (EPs) represent degeneracies where eigenvalues and eigenvectors coalesce.
Understanding light propagation in such systems is crucial for optical device design.

Purpose of the Study:

To investigate the emergence of exceptional points in locally coupled, spatially extended optical structures.
To analyze the phenomenon of global eigenfunction collapse at EPs.
To explore the implications of this collapse on light propagation dynamics.

Main Methods:

Theoretical analysis of two coupled optical structures with balanced gain and loss.
Identification of conditions leading to exceptional points.
Numerical simulations to observe light propagation, discrete beam diffraction, and Bloch oscillations.

Main Results:

Exceptional points are shown to arise in the studied optical systems.
A global collapse of eigenfunction pairs occurs at these EPs.
Light propagation becomes highly sensitive to initial conditions and system parameters near EPs.

Conclusions:

Global eigenfunction collapse at EPs fundamentally alters light behavior in coupled optical structures.
This sensitivity is analogous to classical and quantum catastrophe models.
The findings have implications for understanding discrete beam diffraction and Bloch oscillation catastrophes in waveguide lattices.