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Wave coupling theory of nonlocal linear electro-optic effect.

Dandan Wu, WeiLong She

|February 25, 2016

Summary

Nonlocality in the linear electro-optic effect is significant when characteristic lengths match beam width. This nonlocality alters output beam shapes, necessitating new measurement techniques for optical crystals.

Area of Science:

Nonlinear Optics
Condensed Matter Physics
Materials Science

Background:

Linear electro-optic effect describes how light properties change in response to an electric field.
Nonlocality implies that the material's response depends on a region, not just a single point.
Understanding nonlocality is crucial for advanced optical device design.

Purpose of the Study:

To develop a wave coupling theory for the nonlocal linear electro-optic effect.
To analyze the impact of nonlocality on electro-optic modulation in crystals of varying symmetries.
To propose methods for measuring nonlocal characteristic lengths.

Main Methods:

Derivation of a wave coupling theory for nonlocal electro-optic effects.
Analytical solutions to the derived equations.

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Investigation across different crystal symmetry groups.

Main Results:

Nonlocality of the second-order nonlinear susceptibility (χ̄(2)) significantly impacts the linear electro-optic effect when its characteristic length is comparable to the beam width.
Nonlocality causes the output beam to deviate from a Gaussian shape during electro-optic amplitude modulation.
The study provides insights into how crystal symmetry influences these nonlocal effects.

Conclusions:

The nonlocal linear electro-optic effect is a critical factor in optical modulation, especially at specific length scales.
The findings necessitate considering nonlocality for accurate modeling and design of electro-optic devices.
New experimental methods are proposed for characterizing nonlocal optical properties.