Using Electromagnetic Wave Chaos to Control the Transmission of Light Through Modulated Photonic Crystals

A. Henning, P. B. Wilkinson, T. M. Fromhold, T. M. Benson, P. D. Sewell

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We show that light rays moving through slowly-modulated two-dimensional photonic crystals can exhibit complex mixed-stable-chaotic dynamics, which strongly affect the transmission of the corresponding electromagnetic waves. In contrast to previous systems used to realise and exploit optical chaos [1], the chaotic ray motion that we consider originates from the intrinsically wave-like character of light in photonic crystals: in particular the existence of frequency bands [2]. Related dynamics for electrons in the energy bands of semiconductor superlattices were recently used to switch the electron flow on and off abruptly at critical values of an applied voltage [3, 4]. By analogy, the onset of ray chaos in modulated photonic crystals should also provide a sensitive switching mechanism. As a ray passes through the modulated photonic crystal, changes in the lattice parameters alter the local photonic band structure. This exerts an effective "force" on the ray, whose trajectory can be determined by solving Hamilton's equations, just like calculating the path of a classical particle subject to real forces. By using the modulation to break the symmetry of the system, we were able to generate a rich mixture of stable and chaotic ray paths. Of particular interest are the "dynamical barriers" formed by stable rays, which chaotic rays cannot cross. Dynamical barriers are fundamentally different from those formed by photonic band gaps and provide a new concept for controlling light transmission though photonic crystals. To determine how ray chaos affects electromagnetic wave transmission through the modulated photonic crystals, and to test the validity of Hamiltonian optics in this new dynamical regime, we made numerical solutions of Maxwell's equations. The electromagnetic wave profiles contain striking signatures of the underlying chaotic ray paths at both optical and microwave frequencies.

Original languageEnglish
Title of host publication2006 International Conference on Transparent Optical Networks, ICTON 2006
Number of pages1
Volume4
ISBN (Electronic)1424402360
DOIs
Publication statusPublished - 2006
Externally publishedYes
Event2006 International Conference on Transparent Optical Networks - Nottingham, United Kingdom
Duration: 18 Jun 200622 Jun 2006
https://ieeexplore.ieee.org/xpl/tocresult.jsp?isnumber=4013700 (Link to Conference Proceedings)

Conference

Conference2006 International Conference on Transparent Optical Networks
Abbreviated titleICTON 2006
CountryUnited Kingdom
CityNottingham
Period18/06/0622/06/06
Internet address

Fingerprint

Wave transmission
Photonic crystals
Chaos theory
Electromagnetic waves
chaos
rays
electromagnetic radiation
photonics
crystals
Band structure
Electromagnetic wave transmission
Semiconductor superlattices
Hamiltonians
Photonic band gap
Electrons
Microwave frequencies
Maxwell equations
Light transmission
Photonics
Frequency bands

Cite this

Henning, A., Wilkinson, P. B., Fromhold, T. M., Benson, T. M., & Sewell, P. D. (2006). Using Electromagnetic Wave Chaos to Control the Transmission of Light Through Modulated Photonic Crystals. In 2006 International Conference on Transparent Optical Networks, ICTON 2006 (Vol. 4). [4013904] https://doi.org/10.1109/ICTON.2006.248450
Henning, A. ; Wilkinson, P. B. ; Fromhold, T. M. ; Benson, T. M. ; Sewell, P. D. / Using Electromagnetic Wave Chaos to Control the Transmission of Light Through Modulated Photonic Crystals. 2006 International Conference on Transparent Optical Networks, ICTON 2006. Vol. 4 2006.
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Henning, A, Wilkinson, PB, Fromhold, TM, Benson, TM & Sewell, PD 2006, Using Electromagnetic Wave Chaos to Control the Transmission of Light Through Modulated Photonic Crystals. in 2006 International Conference on Transparent Optical Networks, ICTON 2006. vol. 4, 4013904, 2006 International Conference on Transparent Optical Networks, Nottingham, United Kingdom, 18/06/06. https://doi.org/10.1109/ICTON.2006.248450

Using Electromagnetic Wave Chaos to Control the Transmission of Light Through Modulated Photonic Crystals. / Henning, A.; Wilkinson, P. B.; Fromhold, T. M.; Benson, T. M.; Sewell, P. D.

2006 International Conference on Transparent Optical Networks, ICTON 2006. Vol. 4 2006. 4013904.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Using Electromagnetic Wave Chaos to Control the Transmission of Light Through Modulated Photonic Crystals

AU - Henning, A.

AU - Wilkinson, P. B.

AU - Fromhold, T. M.

AU - Benson, T. M.

AU - Sewell, P. D.

PY - 2006

Y1 - 2006

N2 - We show that light rays moving through slowly-modulated two-dimensional photonic crystals can exhibit complex mixed-stable-chaotic dynamics, which strongly affect the transmission of the corresponding electromagnetic waves. In contrast to previous systems used to realise and exploit optical chaos [1], the chaotic ray motion that we consider originates from the intrinsically wave-like character of light in photonic crystals: in particular the existence of frequency bands [2]. Related dynamics for electrons in the energy bands of semiconductor superlattices were recently used to switch the electron flow on and off abruptly at critical values of an applied voltage [3, 4]. By analogy, the onset of ray chaos in modulated photonic crystals should also provide a sensitive switching mechanism. As a ray passes through the modulated photonic crystal, changes in the lattice parameters alter the local photonic band structure. This exerts an effective "force" on the ray, whose trajectory can be determined by solving Hamilton's equations, just like calculating the path of a classical particle subject to real forces. By using the modulation to break the symmetry of the system, we were able to generate a rich mixture of stable and chaotic ray paths. Of particular interest are the "dynamical barriers" formed by stable rays, which chaotic rays cannot cross. Dynamical barriers are fundamentally different from those formed by photonic band gaps and provide a new concept for controlling light transmission though photonic crystals. To determine how ray chaos affects electromagnetic wave transmission through the modulated photonic crystals, and to test the validity of Hamiltonian optics in this new dynamical regime, we made numerical solutions of Maxwell's equations. The electromagnetic wave profiles contain striking signatures of the underlying chaotic ray paths at both optical and microwave frequencies.

AB - We show that light rays moving through slowly-modulated two-dimensional photonic crystals can exhibit complex mixed-stable-chaotic dynamics, which strongly affect the transmission of the corresponding electromagnetic waves. In contrast to previous systems used to realise and exploit optical chaos [1], the chaotic ray motion that we consider originates from the intrinsically wave-like character of light in photonic crystals: in particular the existence of frequency bands [2]. Related dynamics for electrons in the energy bands of semiconductor superlattices were recently used to switch the electron flow on and off abruptly at critical values of an applied voltage [3, 4]. By analogy, the onset of ray chaos in modulated photonic crystals should also provide a sensitive switching mechanism. As a ray passes through the modulated photonic crystal, changes in the lattice parameters alter the local photonic band structure. This exerts an effective "force" on the ray, whose trajectory can be determined by solving Hamilton's equations, just like calculating the path of a classical particle subject to real forces. By using the modulation to break the symmetry of the system, we were able to generate a rich mixture of stable and chaotic ray paths. Of particular interest are the "dynamical barriers" formed by stable rays, which chaotic rays cannot cross. Dynamical barriers are fundamentally different from those formed by photonic band gaps and provide a new concept for controlling light transmission though photonic crystals. To determine how ray chaos affects electromagnetic wave transmission through the modulated photonic crystals, and to test the validity of Hamiltonian optics in this new dynamical regime, we made numerical solutions of Maxwell's equations. The electromagnetic wave profiles contain striking signatures of the underlying chaotic ray paths at both optical and microwave frequencies.

KW - Electromagnetic scattering

KW - Chaos

KW - Optical control

KW - Lightning control

KW - Optical Modulation

KW - Photonic Crystals

KW - Optical sensors

KW - Optical superlattices

KW - Electronic optics

KW - Frequency

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U2 - 10.1109/ICTON.2006.248450

DO - 10.1109/ICTON.2006.248450

M3 - Conference contribution

SN - 1424402352

VL - 4

BT - 2006 International Conference on Transparent Optical Networks, ICTON 2006

ER -

Henning A, Wilkinson PB, Fromhold TM, Benson TM, Sewell PD. Using Electromagnetic Wave Chaos to Control the Transmission of Light Through Modulated Photonic Crystals. In 2006 International Conference on Transparent Optical Networks, ICTON 2006. Vol. 4. 2006. 4013904 https://doi.org/10.1109/ICTON.2006.248450