JED - January 2018 - 22

```Thinking Through Collabo
Part 1 - What to Expect When Combining

C

By Dr. John A. Kosinski and Dr. Phil Mumford

The Journal of Electronic Defense | January 2018

22

Collaborative Electronic Warfare (EW)
- multiple systems working together
for increased effectiveness - is the way
of the future. As we start to explore
collaborative EW, we need to be careful in bounding our expectations as to
what can and cannot be achieved. The
importance of this point cannot be understated, as there are some significant
misconceptions out there regarding
electromagnetic (EM) fields and how
they combine. Our primary goal here
is to bring those misconceptions to an
basics of EM fields and how they combine, as well as talk about what this
means for collaborative EW.

z

E

y

THE SCIENCE OF EM FIELDS
The science of EM fields was established during the 19th Century. The
physics are captured in the four Maxwell's equations (see Table 1).
In theory, any EM field can be analyzed by solving the Maxwell's equations
as long as the configuration can be fully
described mathematically. In practice,
describing the real world is often difficult, if not impossible, and solving the

FORMULA

x

H

Figure 1 a): Fields of the EM plane wave with the electric field polarized along the z-axis, the
magnetic field polarized along the x-axis, and power flow along the y-axis.

equations can be a challenge even when
the problem can be described.
The mathematical complexity of EM
fields has a couple of undesirable conse-

DESCRIPTION
Ampere's circuital law
Gauss's law
No isolated magnetic charge

Table 1: Time-Varying Maxwell's Equations

quences. The first is that basic courses
in electromagnetics tend to make use of
very simple examples and exercises that
ignore important considerations, such
as conservation of energy. We will see
how much of a problem this is as we analyze the simplest case of combining two
jammers. The second issue is a tendency
to focus on the electric field and use
that by itself for "back of the envelope"
calculations. Why this happens is simple
- the electric field involves scalar (dot)
products, while the magnetic field involves vector (cross) products, and scalar products are a whole lot simpler to
calculate than vector products. Focusing on the electric field is fine for some
special cases, but not for anything else.
We will also see how much of a problem

```

JED - January 2018

The View From Here
Conferences Calendar
Courses Calendar
From the President
The Monitor
Washington Report
World Report
Thinking Through Collaborative Electronic Warfare
Report from the 6th Annual AOC Pacific Conference
EW 101
AOC News
Highlights from the AOC 54th Annual International Symposium & Convention
JED Quick Look
JED - January 2018 - Intro
JED - January 2018 - cover1
JED - January 2018 - cover2
JED - January 2018 - 3
JED - January 2018 - 4
JED - January 2018 - 5
JED - January 2018 - The View From Here
JED - January 2018 - insert1
JED - January 2018 - insert2
JED - January 2018 - 7
JED - January 2018 - Conferences Calendar
JED - January 2018 - 9
JED - January 2018 - Courses Calendar
JED - January 2018 - 11
JED - January 2018 - From the President
JED - January 2018 - 13
JED - January 2018 - 14
JED - January 2018 - The Monitor
JED - January 2018 - 16
JED - January 2018 - 17
JED - January 2018 - 18
JED - January 2018 - 19
JED - January 2018 - Washington Report
JED - January 2018 - World Report
JED - January 2018 - Thinking Through Collaborative Electronic Warfare
JED - January 2018 - 23
JED - January 2018 - 24
JED - January 2018 - 25
JED - January 2018 - 26
JED - January 2018 - 27
JED - January 2018 - 28
JED - January 2018 - Report from the 6th Annual AOC Pacific Conference
JED - January 2018 - 30
JED - January 2018 - EW 101
JED - January 2018 - 32
JED - January 2018 - AOC News
JED - January 2018 - Highlights from the AOC 54th Annual International Symposium & Convention
JED - January 2018 - 35
JED - January 2018 - 36
JED - January 2018 - Index of Advertisers
JED - January 2018 - JED Quick Look
JED - January 2018 - cover3
JED - January 2018 - cover4
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