Necklaces of PT-symmetric dimers

Stevens, David; Ávila, B. Jaramillo; Rodríguez-Lara, B. M.

doi:10.1364/prj.6.000a31

Cited by 9 publications

(5 citation statements)

References 28 publications

(18 reference statements)

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“…Our results for passive triangular three-waveguide couplers may be useful to approach PT-symmetric structures with linear gain and loses [54][55][56][57] that are at the core of lattices with intriguing properties [58][59][60] as well as other non-Hermitian [61,62] or nonlinear devices [63,64] under adequate restrictions. Moreover, our methods could find applications in the analysis of systems with su(n) symmetry or with other discrete symmetries embedded [65].…”

Section: Discussionmentioning

confidence: 99%

Optical trimer: a theoretical physics approach to waveguide couplers

Stoffel,

Caballero-Benitez,

Rodríguez-Lara

2024

J. Opt.

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We study electromagnetic field propagation through an ideal, passive, three-dimensional, triangular three-waveguide coupler using a symmetry-based approach that capitalizes on the underlying su(3) symmetry. The planar version of this platform has already demonstrated its utility in photonic circuit design, enabling optical sampling, filtering, modulating, multiplexing, and switching. We aim to provide a practical tutorial on using group theory for the analysis of photonic lattices for those less familiar with abstract algebra methods.This approach serves as a powerful tool for optical designs. To illustrate this, we focus on the equilateral trimer, connected to the Discrete Fourier Transform, and the isosceles trimer, related to the golden ratio, providing stable single waveguide output. We also explore a scenario where the coupling in an equilateral coupler changes linearly with propagation distance. Going beyond the standard optical-quantum analogy, we show that coupled-mode equations for intensity and phase allows us to calculate envelopes for inputs within an intensity class, as well as individual input field amplitudes. This approach streamlines the design process by eliminating the need for point-to-point propagation calculations, highlighting the power of group theory in the field of photonic design.

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Section: Discussionmentioning

confidence: 99%

Optical trimer: a theoretical physics approach to waveguide couplers

Stoffel,

Caballero-Benitez,

Rodríguez-Lara

2024

J. Opt.

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“…The reported rotation control in optical trapping will find important applications in on chip micro-pumping, viscosity sensing, rotational manipulation in biophysical studies, and measurements of torque 1,[36][37][38] . It is also anticipated that the proposed polarization modulation method will benefit general research fields such as polarization sensitive imaging and spectroscopy [39][40][41][42][43][44][45][46] .…”

Section: Discussionmentioning

confidence: 99%

Robust and high‐speed rotation control in optical tweezers by using polarization synthesis based on heterodyne interference

Liu

Dong

Yang

et al. 2020

OEA

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The rotation control of particles in optical tweezers is often subject to the spin or orbit angular momentum induced optical torque, which is susceptible to the mechanical and morphological properties of individual particle. Here we report on a robust and high-speed rotation control in optical tweezers by using a novel linear polarization synthesis based on optical heterodyne interference between two circularly polarized lights with opposite handedness. The synthesized linear polarization can be rotated in a hopping-free scheme at arbitrary speed determined electronically by the heterodyne frequency between two laser fields. The experimental demonstration of a trapped vaterite particle in water shows that the precisely controlled rotation frequency of 300 Hz can be achieved. The proposed method will find promising applications in optically driven micro-gears, fluidic pumps and rotational micro-rheology.

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“…Other approaches vary the effective refractive indices of individual waveguides while keeping the coupling constant. This produces optical analogues of Anderson localization of light [9][10][11][12][13], where the refractive index of individual waveguides varies randomly, or parity-time symmetry [14][15][16][17], where the refractive indices include gain or loss following a certain structure. Other approaches vary both the coupling and refractive indices [18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Reconfigurable multiport switch in coupled mode devices

Jaramillo-Ávila,

Rodríguez-Lara

2020

Preprint

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We consider a coupled mode system where the effective propagation constants of localized modes are amenable to modulation. Starting from an unmodulated system where power transfer is heavily suppressed, we demonstrate that small, periodic modulation of the propagation constants enhance power transfer using a slowly varying envelope approximation for the field mode amplitudes. We calculate an approximate modulation frequency enabling complete transfer between otherwise negligibly coupled elements. The ability to control these modulations by electrical or thermal effects allows for reconfigurable multiport switching. We use an array of coupled silica waveguides and the thermo-optic effect to test our predictions in the telecom C-band. However, realistic parameters require spatial frequency modulation in the order of 10 3 rad/m to produce total power transfer at spatial frequencies of the order 10 2 rad/m that are unrealistic for integrated photonic applications.Nevertheless, our results are valid for devices described by an equivalent coupled mode matrix for space or time propagation; for example, arrays of microring or terahertz resonators, microwave cavities, radio frequency antennas, or RLC circuits.

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Necklaces of PT-symmetric dimers

Cited by 9 publications

References 28 publications

Optical trimer: a theoretical physics approach to waveguide couplers

Optical trimer: a theoretical physics approach to waveguide couplers

Robust and high‐speed rotation control in optical tweezers by using polarization synthesis based on heterodyne interference

Reconfigurable multiport switch in coupled mode devices

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