Note on the physics of negative e.
The physics of the e resonance
can be readily described by conventional discrete transmission line analysis.
Arrays of small diameter wires have sufficiently large inductance to obtain
resonance with the shunt capacitance of the unit
cell in the GHz range. This mechanism has been well understood for decades
[e.g., see W. Rotman, IRE Trans. Ant. Prop., AP10, 82 (1962)].
paper by Pendry et. al. in Physical Review Letters
(PRL, V.76, 25, 4773 June 1996)
claimed that the real physics behind
the e resonance is the lowering of
the (quantum) plasmon mode in metal wires to extremely low frequencies
because the self magnetic field of electrons
in a thin (less than 10 microns) wire makes them as heavy as nitrogen
Walser, Valanju and Valanju's comment in
PRL, V.87, No. 11, 119701-1 10 Sept. 2001
proved this "extermely low frequency plasmon" concept
to be completely wrong since it neglected the dominant collisions and
violated gauge invariance. It was shown that there are no "low
frequency plasmons (classical or quantum)"
and no "electrons as heavy as nitrogen atoms" in these wires,
and none are needed to explain the observed electromagnetic responses.
Pendry et. al. reply to our PRL comment
was not accepted or published by Physical Review Letters (PRL).
Some of the papers that cite the "Low Frequency Wire Plasmon" as
a valid concept
For contact and comments, email to
Comment on ``Extremely Low Frequency Plasmons in Metallic
Mesostructures'' S. A. Mikhailov, Phys. Rev. Lett. 78, 4135 (1997).
Far-infrared propagation in metal wire microstructures T. E. Huber et al.,
Appl. Phys. Lett. 70, 2502 (1997).
Modal analysis of guiding structures patterned in a metallic
photonic crystal, J. Danglot et al.,
Appl. Phys. Lett. 73, 2712 (1998).
Two-dimensional metallodielectric photonic crystal with a large band
gap, Chongjun Jin et al., Appl. Phys. Lett. 75, 1201 (1999).
Loop-wire medium for investigating plasmons at microwave
frequencies, D. R. Smith et al.,
Appl. Phys. Lett. 75, 1425 (1999).
Experimental demonstration of electrically controllable photonic
crystals at centimeter wavelengths, A. de Lustrac et al.,
Appl. Phys. Lett. 75, 1625 (1999).
Low-loss one-dimensional metallodielectric photonic crystals
fabricated by metallic insertions in a multilayer dielectric
structure Yong-Hong Ye et al., Appl. Phys. Lett. 77, 235 (2000).
High-transmission defect modes in two-dimensional metallic photonic
crystals F. Gadot et al., J. Appl. Phys. 85, 8499 (1999).
A nonorthogonal finite-difference time-domain method for computing
the band structure of a two-dimensional photonic crystal with
dielectric and metallic inclusions Min Qiu et al.,
J. Appl. Phys. 87, 8268 (2000).
Mean-field theory of two-dimensional metallic photonic crystals G.
Guida et al.,
J. Opt. Soc. Am. B 15, 2308 (1998).
Giant gaps in photonic band structures L. Dobrzynski et al., Phys.
Rev. B 57, R9388 (1998).
Impurity bands in photonic insulators N. Stefanou et al., Phys.
Rev. B 57, 12127 (1998).
Plasma modes in periodic two-dimensional
superconducting-wire networks F. Parage et al., Phys. Rev. B
58, R8921 (1998).
Order-N photonic band structures for metals and other dispersive
materials J. Arriaga et al., Phys. Rev. B 59, 1874 (1999).
Electromagnetic wave propagation through a wire array composite Tito
E. Huber et al.,
Phys. Rev. B 59, 7446 (1999).
Pendry et al. Reply J. B. Pendry et al., Phys. Rev. Lett. 78,
3D Metallo-Dielectric Photonic Crystals with Strong Capacitive
Coupling between Metallic Islands D. F. Sievenpiper et al.,
Phys. Rev. Lett. 80, 2829 (1998).
Three-Dimensional Complete Photonic-Band-gap Structures in the
Visible, Alexander Moroz, Phys.
Rev. Lett. 83, 5274 (1999).
Composite Medium with Simultaneously Negative Permeability and
Permittivity D. R. Smith et al., Phys. Rev. Lett. 84, 4184 (2000).
© 2002 CEMD, University of Texas at Austin. All rights reserved.