Sign in
Author

Conference

Journal

Organization

Year

DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
Keywords
(16)
Dynamic Model
Electric Field
Electromagnetic Field
Frequency Domain
Frequency Domain Analysis
Harmonic Analysis
Harmonic Balance
Laplace Transform
Oscillations
Satisfiability
Steady State
Time Domain Analysis
Transient Analysis
volterra series
Time Dependent
Time Domain
Subscribe
Academic
Publications
The fundamental importance of dynamic modeling of electromagnetic fields in space and time
The fundamental importance of dynamic modeling of electromagnetic fields in space and time,10.1109/MWSYM.2011.5972739,Wolfgang J. R. Hoefer
Edit
The fundamental importance of dynamic modeling of electromagnetic fields in space and time
BibTex

RIS

RefWorks
Download
Wolfgang J. R. Hoefer
Frequency domain
or timeharmonic models are ubiquitous in microwave engineering because they are elegant, familiar to microwave engineers, and appropriate for many practical applications. However, they break down in highly nonlinear scenarios or in situations where the
steady state
can never be reached. In this paper, three examples illustrate the importance of using
time domain
approaches in such cases to preserve causality and to avoid drawing conclusions that conflict with the laws of Physics. Since Heaviside introduced the timeharmonic formalism into Maxwell's theory of electromagnetic fields, several generations of physicists, electrical and microwave engineers have learned and practiced their profession in the frequency domain. Indeed, the timeharmonic (frequency domain) model of both fields and networks has several advantages. The most obvious is the reduction by one of the number of independent variables, since the time dimension can be omitted in all expressions, a time dependence of the form t j e ω being implied throughout. Another advantage is the complex notation that reduces differentiation and integration with respect to time to multiplication and division by ω j , and allows both the active/passive and the reactive properties of materials, structures and circuits to be described by a single complex number or function. Even though the complex domain is purely mathematical and fictitious, it has become a familiar, almost tangible mindscape in which most microwave theories and techniques have been conceived, developed and realized. Finally, the timeharmonic form of Maxwell's equations can also yield timedependent solutions of Maxwell's equations through the Fourier or Laplace transform, as long as all properties are linear, and spectral data are known for a sufficiently large frequency range to yield a causal time response. Indeed, if these conditions are satisfied, a general transient problem can be reduced to a number of time harmonic problems; the timeharmonic solutions are then simply recombined through the inverse transform to yield the
time domain
solution. One might thus conclude that solutions in
time domain
are not really needed. Indeed, the two requirements of linearity and wideband spectral information are reasonably well satisfied in many practical situations. Even nonlinear scenarios can be treated in
frequency domain
using
harmonic balance
and Volterra series, provided that the nonlinearity is not too stiff. Nevertheless, the two requirements of linearity and information over a wide bandwidth hint at the fundamental limitations of the time harmonic model. In this paper, three representative examples will be discussed, in which the time harmonic approach breaks down and, at worst, may lead to conclusions that are at odds with the laws of Physics.
Conference:
Microwave, MTTS International Symposium  MTT
, pp. 14, 2011
DOI:
10.1109/MWSYM.2011.5972739
Cumulative
Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
(
ieeexplore.ieee.org
)
(
ieeexplore.ieee.org
)
References
(4)
THE ELECTRODYNAMICS OF SUBSTANCES WITH SIMULTANEOUSLY NEGATIVE VALUES OF $\epsilon$ AND μ
(
Citations: 1091
)
Viktor G Veselago
,
P. N. Lebedev
Journal:
Soviet Physics Uspekhi
, vol. 10, no. 4, pp. 509514, 1968
Negative Refraction Makes a Perfect Lens
(
Citations: 1603
)
J. B. Pendry
Journal:
Physical Review Letters  PHYS REV LETT
, vol. 85, no. 18, pp. 39663969, 2000
Surface polaritons of a lefthanded medium
(
Citations: 57
)
R. Ruppin
Journal:
Physics Letters A  PHYS LETT A
, vol. 277, no. 1, pp. 6164, 2000
Transient study of the dynamic response of the veselagopendry superlens
(
Citations: 2
)
Yew Li Hor
,
Ravi Hegde
,
Er Ping Li
,
Wolfgang J. R. Hoefer
Conference:
Microwave, MTTS International Symposium  MTT
, pp. 14, 2011