Generating and processing optical waveforms using spectral singularities

Farhi, Asaf; Douglas Stone, A; Cerjan, Alexander Witte

doi:10.1103/physreva.109.013512

Generating and processing optical waveforms using spectral singularities

Journal Article · Sun Jan 21 23:00:00 EST 2024 · Physical Review A

DOI:https://doi.org/10.1103/physreva.109.013512· OSTI ID:2311412

Farhi, Asaf ^[1]; Douglas Stone, A ^[1]; Cerjan, Alexander Witte ^[2]

Yale Univ., New Haven, CT (United States)
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Here, we show that a laser at threshold can be utilized to generate the class of coherent and transform-limited waveforms (vt — z)^me^i(kz—ωt) at optical frequencies. We derive these properties analytically and demonstrate them in semiclassical time-domain laser simulations. We then utilize these waveforms to expand other waveforms with high modulation frequencies and demonstrate theoretically the feasibility of complex-frequency coherent absorption at optical frequencies, with efficient energy transduction and cavity loading. This approach has potential applications in quantum computing, photonic circuits, and biomedicine.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)

Grant/Contract Number:: NA0003525

OSTI ID:: 2311412

Alternate ID(s):: OSTI ID: 2474116

Report Number(s):: SAND--2024-00730J

Journal Information:: Physical Review A, Journal Name: Physical Review A Journal Issue: 1 Vol. 109; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (40)

Computational Electromagnetics: The Finite-Difference Time-Domain Method Taflove, Allen; Hagness, Susan C.; Piket-May, Melinda The Electrical Engineering Handbook https://doi.org/10.1016/B978-012170960-0/50046-3	book	January 2005
Meep: A flexible free-software package for electromagnetic simulations by the FDTD method Oskooi, Ardavan F.; Roundy, David; Ibanescu, Mihai Computer Physics Communications, Vol. 181, Issue 3, p. 687-702 https://doi.org/10.1016/j.cpc.2009.11.008	journal	March 2010
Electromagnetic density of states in complex plasmonic systems Carminati, R.; Cazé, A.; Cao, D. Surface Science Reports, Vol. 70, Issue 1 https://doi.org/10.1016/j.surfrep.2014.11.001	journal	March 2015
Non-Hermitian Quantum Mechanics Moiseyev, Nimrod https://doi.org/10.1017/CBO9780511976186	book	May 2011
Virtual Critical Coupling Ra’di, Younes; Krasnok, Alex; Alù, Andrea ACS Photonics, Vol. 7, Issue 6 https://doi.org/10.1021/acsphotonics.0c00165	journal	May 2020
Coherent perfect absorbers: linear control of light with light Baranov, Denis G.; Krasnok, Alex; Shegai, Timur Nature Reviews Materials, Vol. 2, Issue 12 https://doi.org/10.1038/natrevmats.2017.64	journal	October 2017
Advances in small lasers Hill, Martin T.; Gather, Malte C. Nature Photonics, Vol. 8, Issue 12 https://doi.org/10.1038/nphoton.2014.239	journal	November 2014
Integrated all-photonic non-volatile multi-level memory Ríos, Carlos; Stegmaier, Matthias; Hosseini, Peiman Nature Photonics, Vol. 9, Issue 11 https://doi.org/10.1038/nphoton.2015.182	journal	September 2015
Observation of parity–time symmetry in optics Rüter, Christian E.; Makris, Konstantinos G.; El-Ganainy, Ramy Nature Physics, Vol. 6, Issue 3 https://doi.org/10.1038/nphys1515	journal	January 2010
Non-Hermitian physics and PT symmetry El-Ganainy, Ramy; Makris, Konstantinos G.; Khajavikhan, Mercedeh Nature Physics, Vol. 14, Issue 1 https://doi.org/10.1038/nphys4323	journal	January 2018
Broadband terahertz wave generation from an epsilon-near-zero material Jia, Wenhe; Liu, Meng; Lu, Yongchang Light: Science & Applications, Vol. 10, Issue 1 https://doi.org/10.1038/s41377-020-00452-y	journal	January 2021
Meta-programmable analog differentiator Sol, Jérôme; Smith, David R.; del Hougne, Philipp Nature Communications, Vol. 13, Issue 1 https://doi.org/10.1038/s41467-022-29354-w	journal	March 2022
Nonlinear exceptional-point lasing with ab initio Maxwell–Bloch theory Benzaouia, Mohammed; Stone, A. D.; Johnson, Steven G. APL Photonics, Vol. 7, Issue 12 https://doi.org/10.1063/5.0105963	journal	December 2022
Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem Dhia, Anne-Sophie Bonnet-Ben; Chesnel, Lucas; Pagneux, Vincent Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 474, Issue 2213 https://doi.org/10.1098/rspa.2018.0050	journal	May 2018
Three-dimensional-subwavelength field localization, time reversal of sources, and infinitely asymptotic degeneracy in spherical structures Farhi, Asaf Physical Review A, Vol. 101, Issue 6 https://doi.org/10.1103/PhysRevA.101.063818	journal	June 2020
Scattering electromagnetic eigenstates of a two-constituent composite and their exploitation for calculating a physical field Bergman, David J.; Chen, Parry Y.; Farhi, Asaf Physical Review A, Vol. 102, Issue 6 https://doi.org/10.1103/PhysRevA.102.063508	journal	December 2020
Theory of reflectionless scattering modes Sweeney, William R.; Hsu, Chia Wei; Stone, A. Douglas Physical Review A, Vol. 102, Issue 6 https://doi.org/10.1103/PhysRevA.102.063511	journal	December 2020
Excitation of absorbing exceptional points in the time domain Farhi, Asaf; Mekawy, Ahmed; Alù, Andrea Physical Review A, Vol. 106, Issue 3 https://doi.org/10.1103/PhysRevA.106.L031503	journal	September 2022
All-optical femtosecond switch using two-photon absorption Yavuz, D. D. Physical Review A, Vol. 74, Issue 5 https://doi.org/10.1103/PhysRevA.74.053804	journal	November 2006
Steady-state ab initio laser theory: Generalizations and analytic results Ge, Li; Chong, Y. D.; Stone, A. Douglas Physical Review A, Vol. 82, Issue 6 https://doi.org/10.1103/PhysRevA.82.063824	journal	December 2010
Optical spectral singularities as threshold resonances Mostafazadeh, Ali Physical Review A, Vol. 83, Issue 4 https://doi.org/10.1103/PhysRevA.83.045801	journal	April 2011
Steady-stateab initiotheory of lasers with injected signals Cerjan, Alexander; Stone, A. Douglas Physical Review A, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevA.90.013840	journal	July 2014
Electromagnetic eigenstates and the field of an oscillating point electric dipole in a flat-slab composite structure Farhi, Asaf; Bergman, David J. Physical Review A, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevA.93.063844	journal	June 2016
Spectral method for the static electric potential of a charge density in a composite medium Bergman, David J.; Farhi, Asaf Physical Review A, Vol. 97, Issue 4 https://doi.org/10.1103/PhysRevA.97.043855	journal	April 2018
Theory of resonances in the electromagnetic scattering by macroscopic bodies Bergman, David J.; Stroud, D. Physical Review B, Vol. 22, Issue 8 https://doi.org/10.1103/PhysRevB.22.3527	journal	October 1980
Beam Dynamics in P T Symmetric Optical Lattices Makris, K. G.; El-Ganainy, R.; Christodoulides, D. N. Physical Review Letters, Vol. 100, Issue 10 https://doi.org/10.1103/PhysRevLett.100.103904	journal	March 2008
Observation of P T -Symmetry Breaking in Complex Optical Potentials Guo, A.; Salamo, G. J.; Duchesne, D. Physical Review Letters, Vol. 103, Issue 9 https://doi.org/10.1103/PhysRevLett.103.093902	journal	August 2009
Coherent Perfect Absorbers: Time-Reversed Lasers Chong, Y. D.; Ge, Li; Cao, Hui Physical Review Letters, Vol. 105, Issue 5 https://doi.org/10.1103/PhysRevLett.105.053901	journal	July 2010
Few-Photon All-Optical Modulation in a Photonic Band-Gap Fiber Venkataraman, Vivek; Saha, Kasturi; Londero, Pablo Physical Review Letters, Vol. 107, Issue 19 https://doi.org/10.1103/PhysRevLett.107.193902	journal	November 2011
Theory of the Spontaneous Optical Emission of Nanosize Photonic and Plasmon Resonators Sauvan, C.; Hugonin, J. P.; Maksymov, I. S. Physical Review Letters, Vol. 110, Issue 23 https://doi.org/10.1103/PhysRevLett.110.237401	journal	June 2013
Catching Time-Reversed Microwave Coherent State Photons with 99.4% Absorption Efficiency Wenner, J.; Yin, Yi; Chen, Yu Physical Review Letters, Vol. 112, Issue 21 https://doi.org/10.1103/PhysRevLett.112.210501	journal	May 2014
Perfectly Absorbing Exceptional Points and Chiral Absorbers Sweeney, William R.; Hsu, Chia Wei; Rotter, Stefan Physical Review Letters, Vol. 122, Issue 9 https://doi.org/10.1103/PhysRevLett.122.093901	journal	March 2019
Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry Bender, Carl M.; Boettcher, Stefan Physical Review Letters, Vol. 80, Issue 24 https://doi.org/10.1103/PhysRevLett.80.5243	journal	June 1998
All-Optical Switching in Rubidium Vapor Dawes, A. M. C. Science, Vol. 308, Issue 5722 https://doi.org/10.1126/science.1110151	journal	April 2005
Exceptional points in optics and photonics Miri, Mohammad-Ali; Alù, Andrea Science, Vol. 363, Issue 6422 https://doi.org/10.1126/science.aar7709	journal	January 2019
Coherent perfect absorption at an exceptional point Wang, Changqing; Sweeney, William R.; Stone, A. Douglas Science, Vol. 373, Issue 6560 https://doi.org/10.1126/science.abj1028	journal	September 2021
On the analogy between a single atom and an optical resonator Heugel, S.; Villar, A. S.; Sondermann, M. Laser Physics, Vol. 20, Issue 1 https://doi.org/10.1134/S1054660X09170095	journal	July 2009
Photonic temporal integrator for all-optical computing Slavík, Radan; Park, Yongwoo; Ayotte, Nicolas Optics Express, Vol. 16, Issue 22 https://doi.org/10.1364/OE.16.018202	journal	October 2008
Steady-state ab initio laser theory for N-level lasers Cerjan, Alexander; Chong, Yidong; Ge, Li Optics Express, Vol. 20, Issue 1 https://doi.org/10.1364/OE.20.000474	journal	December 2011
Coherent virtual absorption based on complex zero excitation for ideal light capturing Baranov, Denis G.; Krasnok, Alex; Alù, Andrea Optica, Vol. 4, Issue 12 https://doi.org/10.1364/OPTICA.4.001457	journal	November 2017

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