Independent control of phase and power in spatially variant self-collimating photonic crystals

Gutierrez, Jesus J.; Martinez, Noel P.; Rumpf, Raymond C.

doi:10.1364/josaa.36.001534

Cited by 8 publications

(2 citation statements)

References 33 publications

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“…The flatter the contour, the higher the self-collimation is since the wave is then forced to propagate in single direction, that is normal to the flat contour. The highly self-collimated beams have found to be useful for making compact easily integrated optical chips for strongly guiding waves in the presence of bends and defects [33]. As shown in Fig.…”

Section: Self-collimation Of L-shapementioning

confidence: 99%

Chiral Surface Wave propagation with Anomalous Spin-momentum Locking

Kandil¹,

Bisharat²,

Sievenpiper³

2021

Preprint

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The ability to control the directionality of surface waves by manipulating its polarization has been of great significance for applications in spintronics and polarization-based optics. Surface waves with evanescent tails are found to possess an inherent in-plane transverse spin which is dependent on the propagation direction while an out-of-plane transverse spin does not naturally occur for surface waves and requires a specific surface design. Here, we introduce a new type of surface waves called chiral surface wave which has two transverse spins, an in-plane one that is inherent to any surface wave and an out-of-plane spin which is enforced by the design due to strong x-to-y coupling and broken rotational symmetry. The two transverse spins are locked to the momentum. Our study opens a new direction for metasurface designs with enhanced and controlled spin-orbit interaction by adding an extra degree of freedom to control the propagation direction as well as the transverse spin of surface waves.

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Section: Self-collimation Of L-shapementioning

confidence: 99%

Chiral Surface Wave propagation with Anomalous Spin-momentum Locking

Kandil¹,

Bisharat²,

Sievenpiper³

2021

Preprint

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“…The algorithm for spatial variance introduces geometrical changes to the PhC in a way that makes the PhC smooth, continuous, and free of unintentional defects [4] while retaining the geom-etry of the unit cells so that electromagnetic response is maintained. Most approaches to incorporate spatial variance in SCPCs [5][6][7] do so in either planar SCPCs or with devices in which the third dimension is not spatially varied. The method described in [3] suffers from the major drawback of being memory inefficient due to its reliance on large full storage matrices and computationally expensive lower-upper (LU) decomposition operations, thus limiting the size of spatially variant lattices (SVLs) that can be generated.…”

Section: Introductionmentioning

confidence: 99%

Formulation of Iterative Finite-Difference Method for Generating Large Spatially Variant Lattices

Martinez

Gutierrez²,

Touma³

et al. 2022

ACES Journal

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A new numerical method to generate spatially variant lattices (SVLs) is derived and implemented. The algorithm proposed solves the underlying partial differential equations iteratively with an update equation derived using the finite-difference method to obtain an SVL that is continuous, smooth, and free of unintended defects while maintaining the unit cell geometry throughout the lattice. This iterative approach is shown to be more memory-efficient when compared to the matrix-based approach and is, thus, suitable for the calculation of large-scale SVLs. The iterative nature of the solver allows it to be easily implemented in graphics processing unit to parallelize the computation of SVLs. Two spatially variant self-collimating photonic crystals are generated and simulated to demonstrate the functionality of the algorithm as a tool to generate fully three-dimensional photonic devices of realistic size.

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