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Title: Generating and processing optical waveforms using spectral singularities

Abstract

Here, we show that a laser at threshold can be utilized to generate the class of coherent and transform-limited waveforms (vt — z)mei(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.

Authors:
 [1];  [1];  [2]
  1. Yale Univ., New Haven, CT (United States)
  2. Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
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)
OSTI Identifier:
2311412
Report Number(s):
SAND-2024-00730J
Journal ID: ISSN 2469-9926
Grant/Contract Number:  
NA0003525
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 109; Journal Issue: 1; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; lasers; nonlinear optics; optical transient phenomena; optics & lasers; scattering theory; ultrafast optics; ultrafast phenomena

Citation Formats

Farhi, Asaf, Douglas Stone, A, and Cerjan, Alexander Witte. Generating and processing optical waveforms using spectral singularities. United States: N. p., 2024. Web. doi:10.1103/physreva.109.013512.
Farhi, Asaf, Douglas Stone, A, & Cerjan, Alexander Witte. Generating and processing optical waveforms using spectral singularities. United States. https://doi.org/10.1103/physreva.109.013512
Farhi, Asaf, Douglas Stone, A, and Cerjan, Alexander Witte. Mon . "Generating and processing optical waveforms using spectral singularities". United States. https://doi.org/10.1103/physreva.109.013512.
@article{osti_2311412,
title = {Generating and processing optical waveforms using spectral singularities},
author = {Farhi, Asaf and Douglas Stone, A and Cerjan, Alexander Witte},
abstractNote = {Here, we show that a laser at threshold can be utilized to generate the class of coherent and transform-limited waveforms (vt — z)mei(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.},
doi = {10.1103/physreva.109.013512},
journal = {Physical Review A},
number = 1,
volume = 109,
place = {United States},
year = {Mon Jan 22 00:00:00 EST 2024},
month = {Mon Jan 22 00:00:00 EST 2024}
}

Journal Article:
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Works referenced in this record:

Perfectly Absorbing Exceptional Points and Chiral Absorbers
journal, March 2019


Exceptional points in optics and photonics
journal, January 2019


Spectral method for the static electric potential of a charge density in a composite medium
journal, April 2018


Coherent perfect absorbers: linear control of light with light
journal, October 2017


Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem
journal, May 2018

  • Dhia, Anne-Sophie Bonnet-Ben; Chesnel, Lucas; Pagneux, Vincent
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 474, Issue 2213
  • DOI: 10.1098/rspa.2018.0050

Observation of P T -Symmetry Breaking in Complex Optical Potentials
journal, August 2009


Broadband terahertz wave generation from an epsilon-near-zero material
journal, January 2021


Advances in small lasers
journal, November 2014


Computational Electromagnetics: The Finite-Difference Time-Domain Method
book, January 2005


On the analogy between a single atom and an optical resonator
journal, July 2009


Coherent virtual absorption based on complex zero excitation for ideal light capturing
journal, November 2017


Coherent perfect absorption at an exceptional point
journal, September 2021

  • Wang, Changqing; Sweeney, William R.; Stone, A. Douglas
  • Science, Vol. 373, Issue 6560
  • DOI: 10.1126/science.abj1028

Theory of reflectionless scattering modes
journal, December 2020


Nonlinear exceptional-point lasing with ab initio Maxwell–Bloch theory
journal, December 2022

  • Benzaouia, Mohammed; Stone, A. D.; Johnson, Steven G.
  • APL Photonics, Vol. 7, Issue 12
  • DOI: 10.1063/5.0105963

Observation of parity–time symmetry in optics
journal, January 2010

  • Rüter, Christian E.; Makris, Konstantinos G.; El-Ganainy, Ramy
  • Nature Physics, Vol. 6, Issue 3
  • DOI: 10.1038/nphys1515

Steady-state ab initio laser theory: Generalizations and analytic results
journal, December 2010


Electromagnetic eigenstates and the field of an oscillating point electric dipole in a flat-slab composite structure
journal, June 2016


Integrated all-photonic non-volatile multi-level memory
journal, September 2015


Electromagnetic density of states in complex plasmonic systems
journal, March 2015


Non-Hermitian physics and PT symmetry
journal, January 2018

  • El-Ganainy, Ramy; Makris, Konstantinos G.; Khajavikhan, Mercedeh
  • Nature Physics, Vol. 14, Issue 1
  • DOI: 10.1038/nphys4323

Meta-programmable analog differentiator
journal, March 2022


Non-Hermitian Quantum Mechanics
book, May 2011


Excitation of absorbing exceptional points in the time domain
journal, September 2022


Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry
journal, June 1998


Theory of the Spontaneous Optical Emission of Nanosize Photonic and Plasmon Resonators
journal, June 2013


All-optical femtosecond switch using two-photon absorption
journal, November 2006


All-Optical Switching in Rubidium Vapor
journal, April 2005


Catching Time-Reversed Microwave Coherent State Photons with 99.4% Absorption Efficiency
journal, May 2014


Few-Photon All-Optical Modulation in a Photonic Band-Gap Fiber
journal, November 2011


Optical spectral singularities as threshold resonances
journal, April 2011


Photonic temporal integrator for all-optical computing
journal, October 2008

  • Slavík, Radan; Park, Yongwoo; Ayotte, Nicolas
  • Optics Express, Vol. 16, Issue 22
  • DOI: 10.1364/OE.16.018202

Virtual Critical Coupling
journal, May 2020


Beam Dynamics in P T Symmetric Optical Lattices
journal, March 2008


Meep: A flexible free-software package for electromagnetic simulations by the FDTD method
journal, March 2010

  • Oskooi, Ardavan F.; Roundy, David; Ibanescu, Mihai
  • Computer Physics Communications, Vol. 181, Issue 3, p. 687-702
  • DOI: 10.1016/j.cpc.2009.11.008

Steady-stateab initiotheory of lasers with injected signals
journal, July 2014


Theory of resonances in the electromagnetic scattering by macroscopic bodies
journal, October 1980


Scattering electromagnetic eigenstates of a two-constituent composite and their exploitation for calculating a physical field
journal, December 2020


Coherent Perfect Absorbers: Time-Reversed Lasers
journal, July 2010


Steady-state ab initio laser theory for N-level lasers
journal, December 2011

  • Cerjan, Alexander; Chong, Yidong; Ge, Li
  • Optics Express, Vol. 20, Issue 1
  • DOI: 10.1364/OE.20.000474