Analysis of a time-domain propagator numerical method for electromagnetic fields

Shin, Jongchul; Nevels, Robert D.

doi:10.1109/wmcas.2017.8070695

Cited by 1 publication

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“…This formulation is particularly feasible to deal with a wave equation (for a single-species unknown variable) rather than Maxwell's curl equations. It should be noted that previous classical 1-D Maxwell-curl-propagators [27,28,42] consist of the time-derivative of retard and advanced time-domain Green's functions and are supposed to carry real-valued initial electric and magnetic field values as…”

Section: Electric Field Operator In the Coordinate Spacementioning

confidence: 99%

Quantum Electromagnetic Finite-Difference Time-Domain Solver

Chew

2020

Quantum Reports

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We employ another approach to quantize electromagnetic fields in the coordinate space, instead of the mode (or Fourier) space, such that local features of photons can be efficiently, physically, and more intuitively described. To do this, coordinate-ladder operators are defined from mode-ladder operators via the unitary transformation of systems involved in arbitrary inhomogeneous dielectric media. Then, one can expand electromagnetic field operators through the coordinate-ladder operators weighted by non-orthogonal and spatially-localized bases, which are propagators of initial quantum electromagnetic (complex-valued) field operators. Here, we call them QEM-CV-propagators. However, there are no general closed form solutions available for them. This inspires us to develop a quantum finite-difference time-domain (Q-FDTD) scheme to numerically time evolve QEM-CV-propagators. In order to check the validity of the proposed Q-FDTD scheme, we perform computer simulations to observe the Hong-Ou-Mandel effect resulting from the destructive interference of two photons in a 50/50 quantum beam splitter.

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Section: Electric Field Operator In the Coordinate Spacementioning

confidence: 99%

Quantum Electromagnetic Finite-Difference Time-Domain Solver

Chew

2020

Quantum Reports

View full text Add to dashboard Cite

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Analysis of a time-domain propagator numerical method for electromagnetic fields

Cited by 1 publication

References 5 publications

Quantum Electromagnetic Finite-Difference Time-Domain Solver

Quantum Electromagnetic Finite-Difference Time-Domain Solver

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