METHODOLOGICAL NOTES Expressions for the energy density and evolved heat in the electrodynamics of a dispersive and absorptive medium

METHODOLOGICAL NOTES Expressions for the energy density and evolved heat in the electrodynamics of a dispersive and absorptive medium
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方法注释 色散和吸收介质的电动力学中的能量密度和放出热量的表达式

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发表时间:
1976
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通讯作者:
P. N. Lebedev
P. N. Lebedev
中科院分区:
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文献类型:
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作者:
V. Ginzburg;Y. Barash;V. Ginzburg;P. N. Lebedev

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讨论了色散吸收介质电动力学中能量密度W和演化热(耗散)Q的表达式问题。一般来说,W和Q不是用复介电常数e(ω)来表示的。用一个由一系列振子组成的介质和一个最简单的等离子体模型的例子来说明这种说法。在附录中给出了透明介质中具有任意时间依赖性的场的能量密度的方便表达式。在吸收色散介质中,准单色场的高频平均值(1/4π)∂D/∂t的推导也给出了。
The question of the expressions for the energy density W and evolved heat (dissipation) Q in the electrodynamics of a dispersive and absorptive medium is discussed. Attention is concentrated on explaining the fact that W and Q are not expressed, generally speaking, in terms of the complex dielectric permittivity e(ω). This statement is illustrated with the example of a medium consisting of a collection of oscillators and with the example of the simplest model of a plasma. A convenient expression for the energy density of a field with arbitrary time dependence in a transparent medium is obtained in the Appendix. A derivation of the high-frequency average of (1/4π)∂D/∂t for a quasi-monochromatic field in an absorptive dispersive medium is also given there.