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PreprintCC BY-NC-ND 4.0HAL

Filter shaping in integrated photonics using non-adiabatic control

Abstract

We demonstrate that an array of integrated coupled waveguides can be inversedesigned to simultaneously perform the spectral filtering and routing of light. The framework that we present present some conceptual analogy with Bragg-Gratings (BGs), but operates in a long-wavelength modulation regime that requires only smooth, slow, and minute modulations of the array's parameters, order of magnitude slower than the modulations used in BGs. As a consequence, we show that several filtering operation can be collocated at the same place without interfering or causing any problem in terms of fabrication. Furthermore, we show that our framework, with the seamless management of multi-waveguide, also enables the routing of light. Our design strategy rely on the analogy which exists between the temporal evolution of an Hamiltonian and the propagation of light in an array of coupled integrated waveguides, mimicking spatially in photonics phenomena analogue to the electronic transitions. Interestingly, the chromatic dispersion in photonics restores the correspondence between spatial propagation effect and wavelength dependence making it suitable for both filtering and routing applications. Our proposal is illustrated by numerical simulations.

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BibTeX
@misc{alabiad2026filter,
  title = {{Filter shaping in integrated photonics using non-adiabatic control}},
  author = {Abdullah Al-Abiad and Pierre Colman},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  eprint = {2607.13313},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05805411v1},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Filter shaping in integrated photonics using non-adiabatic control
AU  - Abdullah Al-Abiad
AU  - Pierre Colman
PY  - 2026
DA  - 2026/10/19
PB  - HAL
UR  - https://hal.science/hal-05805411v1
AB  - We demonstrate that an array of integrated coupled waveguides can be inversedesigned to simultaneously perform the spectral filtering and routing of light. The framework that we present present some conceptual analogy with Bragg-Gratings (BGs), but operates in a long-wavelength modulation regime that requires only smooth, slow, and minute modulations of the array's parameters, order of magnitude slower than the modulations used in BGs. As a consequence, we show that several filtering operation can be collocated at the same place without interfering or causing any problem in terms of fabrication. Furthermore, we show that our framework, with the seamless management of multi-waveguide, also enables the routing of light. Our design strategy rely on the analogy which exists between the temporal evolution of an Hamiltonian and the propagation of light in an array of coupled integrated waveguides, mimicking spatially in photonics phenomena analogue to the electronic transitions. Interestingly, the chromatic dispersion in photonics restores the correspondence between spatial propagation effect and wavelength dependence making it suitable for both filtering and routing applications. Our proposal is illustrated by numerical simulations.
ER  -