Excitation of the Classical Electromagnetic Field in a Cavity Containing a Thin Slab with a Time-Dependent Conductivity

被引:4
作者
Dodonov, Viktor V. [1 ]
Dodonov, Alexandre V. [1 ]
机构
[1] Univ Brasilia, Inst Fis, Caixa Postal 04455, BR-70919970 Brasilia, DF, Brazil
关键词
Classical electrodynamics; Maxwell equations; dynamical Casimir effect; time-dependent conductivity; Drude model; discrete modes; electromagnetic cylindrical and rectangular cavities; semiconductors; laser pulses; OSCILLATING BOUNDARY; HARMONIC-OSCILLATOR; LASER-PULSES; CASIMIR; PHOTONS; VACUUM; GENERATION; RADIATION; MIRROR;
D O I
10.1007/s10946-016-9551-2
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We derive an exact infinite set of coupled ordinary differential equations describing the evolution of the modes of the classical electromagnetic field inside an ideal cavity containing a thin slab with the time-dependent conductivity sigma(t) and dielectric permittivity epsilon(t) for the dispersion-less media. We analyze this problem in connection with the attempts to simulate the so-called dynamical Casimir effect in three-dimensional electromagnetic cavities containing a thin semiconductor slab periodically illuminated by strong laser pulses. Therefore, we assume that functions sigma(t) and delta epsilon(t) = epsilon(t) - epsilon(0) are different from zero during short time intervals (pulses) only. Our main goal here is to find the conditions under which the initial nonzero classical field could be amplified after a single pulse (or a series of pulses). We obtain approximate solutions to the dynamical equations in the cases of "small" and "big" maximal values of the functions sigma(t) and delta epsilon(t). We show that the single-mode approximation used in the previous studies can be justified in the case of "small" perturbations, but the initially excited field mode cannot be amplified in this case if the laser pulses generate free carriers inside the slab. The amplification could be possible, in principle, for extremely high maximum values of conductivity and the concentration of free carries (the model of an "almost ideal conductor") created inside the slab under the crucial condition providing the negativity of the function delta epsilon(t). This result follows from a simple approximate analytical solution confirmed by exact numerical calculations. However, the evaluation shows that the necessary energy of laser pulses must be, probably, unrealistically high.
引用
收藏
页码:107 / 122
页数:16
相关论文
共 39 条
  • [1] A laser system for the parametric amplification of electromagnetic fields in a microwave cavity
    Agnesi, A.
    Braggio, C.
    Carugno, G.
    Della Valle, F.
    Galeazzi, G.
    Messineo, G.
    Pirzio, F.
    Reali, G.
    Ruoso, G.
    [J]. REVIEW OF SCIENTIFIC INSTRUMENTS, 2011, 82 (11)
  • [2] MIR: an experiment for the measurement of the dynamical Casimir effect
    Agnesi, A.
    Braggio, C.
    Bressi, G.
    Carugno, G.
    Della Valle, F.
    Galeazzi, G.
    Messineo, G.
    Pirzio, F.
    Reali, G.
    Ruoso, G.
    Scarpa, D.
    Zanello, D.
    [J]. 60 YEARS OF THE CASIMIR EFFECT, 2009, 161
  • [3] A novel experimental approach for the detection of the dynamical Casimir effect
    Braggio, C
    Bressi, G
    Carugno, G
    Del Noce, C
    Galeazzi, G
    Lombardi, A
    Palmieri, A
    Ruoso, G
    Zanello, D
    [J]. EUROPHYSICS LETTERS, 2005, 70 (06): : 754 - 760
  • [4] Semiconductor microwave mirror for a measurement of the dynamical Casimir effect
    Braggio, C
    Bressi, G
    Carugno, G
    Lombardi, A
    Palmieri, A
    Ruoso, G
    Zanello, D
    [J]. REVIEW OF SCIENTIFIC INSTRUMENTS, 2004, 75 (11) : 4967 - 4970
  • [5] Characterization of a low noise microwave receiver for the detection of vacuum photons
    Braggio, C.
    Bressi, G.
    Carugno, G.
    Della Valle, F.
    Galeazzi, G.
    Ruoso, G.
    [J]. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 2009, 603 (03) : 451 - 455
  • [6] Braggio C., MIR REPORT UNPUB
  • [7] Resonant photon creation in a three-dimensional oscillating cavity
    Crocce, M
    Dalvit, DAR
    Mazzitelli, FD
    [J]. PHYSICAL REVIEW A, 2001, 64 (01): : 138081 - 1380810
  • [8] Dalvit D. A. R., 2011, Casimir Physics, P419
  • [9] Creation of photons in an oscillating cavity with two moving mirrors
    Dalvit, DAR
    Mazzitelli, FD
    [J]. PHYSICAL REVIEW A, 1999, 59 (04): : 3049 - 3059
  • [10] Dynamical Casimir effect in a cavity with a weakly non-equidistant spectrum
    Dodonov, A. V.
    Dodonov, V. V.
    [J]. PHYSICS LETTERS A, 2012, 376 (24-25) : 1903 - 1906