Resonances in the optical response of a slab with time-periodic dielectric function {epsilon}(t)

Journal Article · Sat May 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.053834· OSTI ID:21408916

Zurita-Sanchez, Jorge R; Halevi, P ^[1]

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1. Instituto Nacional de Astrofisica, Optica y Electronica, Apartado Postal 51, Puebla, Pue. 72000 (Mexico)

We demonstrate that the optical response of a periodically modulated dynamic slab exhibits infinite resonances for frequencies {omega}=({Omega}/2)(2l+1), namely, odd multiples of one-half of the modulating frequency {Omega} of the dielectric function {epsilon}(t). These frequencies coincide partially with the usual condition of parametric amplification. However, the resonances occur only for certain normalized slab thicknesses L{sub R}. These resonances follow from detailed numerical studies based on our recent paper [Zurita-Sanchez, Halevi, and Cervantes-Gonzalez, Phys. Rev. A 79, 053821 (2009)]. As the thickness L nearly matches a resonance thickness L{sub R}, the amplitudes of counterpropagating modes in the slab obey a condition implying that both have the same modulus and their phases match a condition related to L{sub R} and the bulk wave vectors. When this condition is met, the electric field profile inside the slab is a superposition of standing waves with odd and even symmetries, and the reflection and transmission coefficients can reach great values and become infinite at exact resonance. Numerical simulations of the optical response are shown for a sinusoidal {epsilon}(t) with either moderate or strong modulation. As expected, as the modulation strength increases, higher-order harmonics {omega}-n{Omega} (n=0,{+-}1,{+-}2,...) become more noticeable, and short-wavelength bulk modes contribute significantly. However, we found that, regardless of the excitation frequency {omega}=({Omega}/2)(2l+1), the dominant spectral component of the generated fields is {Omega}/2. Also, as the excitation frequency increases, the parity of the standing waves is conserved.

• OSTI ID: 21408916
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
AMPLIFICATION
AMPLITUDES
BOSONS
COMPUTERIZED SIMULATION
DIELECTRIC MATERIALS
DIMENSIONS
ELECTRIC FIELDS
ELEMENTARY PARTICLES
ENERGY-LEVEL TRANSITIONS
EXCITATION
FUNCTIONS
HADRONS
HARMONICS
MATERIALS
MATHEMATICS
MESONS
MODULATION
NUMERICAL ANALYSIS
OSCILLATIONS
PARITY
PARTICLE PROPERTIES
PERIODICITY
REFLECTION
RESONANCE
SIMULATION
STANDING WAVES
SYMMETRY
TENSORS
THICKNESS
VARIATIONS
VECTORS