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Beam shaping using genetically optimized two-dimensional photonic crystals.

Denis Gagnon¹, Joey Dumont, Louis J Dubé

¹Département de physique, de génie physique et d’optique, Faculté des Sciences et de Génie, Université Laval, Québec G1V 0A6, Canada.

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

|March 5, 2013

Summary

We demonstrate using engineered two-dimensional photonic crystals (PhCs) to precisely shape light beams. This method allows for generating custom beam profiles from simple inputs with high accuracy and tolerance.

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Area of Science:

Optics and Photonics
Materials Science
Computational Physics

Background:

Photonic crystals (PhCs) offer unique light manipulation properties.
Generating custom beam profiles is crucial for various optical applications.
Existing methods for beam shaping can be complex or limited in flexibility.

Purpose of the Study:

To propose and validate a method for generating arbitrary-profile beams using 2D photonic crystals.
To utilize engineered defects within PhCs for precise beam control.
To demonstrate the generation of specific beam profiles, such as Hermite-Gauss modes.

Main Methods:

Derivation of cylindrical harmonics expansion for complex-source beams.
Computation of scattered wave functions using the multiple scattering method for 2D PhCs.
Application of a genetic algorithm to solve the beam shaping inverse problem.

Main Results:

Successful generation of different orders of Hermite-Gauss beam profiles.
Demonstration of reasonable optical losses during the beam shaping process.
Exhibition of tolerance to variations in input beam parameters and slab refractive index.

Conclusions:

Engineered 2D photonic crystals provide an effective platform for arbitrary beam shaping.
The proposed method, combining multiple scattering theory and genetic algorithms, is robust and versatile.
This approach offers a promising route for advanced optical beam control applications.