Basic Antenna Modeling:
A Hands-On Tutorial


L. B. Cebik
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Analytical Table of Contents

Chapter          Title                                                   Page

              Introduction                                                   1

   In these preliminary notes, you will become familiar with the basic purpose and
   design of this book on antenna modeling with NEC.  You will come to
   understand why you should go through the exercises carefully with your
   software as well as reading the principles and techniques portions of each
   chapter.  In addition, you will learn something about the author.

Part A      Basic Modeling and Model Testing                               A-1

    1         NEC-2 and NECWin Plus                                        1-1

   This chapter will introduce antenna modeling and acquaint you with NEC-2
   capabilities and limitations, as well as distinguishing NEC-2 from other NEC-type
   calculation cores.  In addition, you will become familiar with the capabilities of
   NECWin Plus, the overall program which contains the NEC-2 core.

    2         Modeling Preparations                                        2-1

   The exercises in this chapter introduce ways of preparing for a modeling run that
   go far to ensure sensible results.  The use of simple paper forms help translate
   a physical antenna design into the data needed by the program for its
   calculations.  The use of such forms is also the basis of good modeling records
   keeping.

    3         Basic Antenna Models                                         3-2

   In a series of simple models, this chapter will acquaint you with basic concepts
   used in modeling on both the input and output sides of the NEC-2 calculations.
   The exercises in this chapter will familiarize you with the process of modeling
   with NEC-2, including working with the input data, running models, and using
   fundamental output data.

    4         NEC Output Data                                              4-1

   NEC-2 provides a wealth of output data in tabular form which your program can
   display directly and also translate into other very useful forms.  This chapter will
   acquaint you with the process of gathering and interpreting some of the most
   basic data involved in antenna evaluation.

    5         Careful Model Construction                                   5-1

   Since hasty and careless modeling usually produces questionable output data,
   the exercises in this chapter will familiarize you with some basic guidelines for
   developing reliable models.  It will also demonstrate some of the pitfalls of
   careless modeling in a series of comparative models.

    6         Convergence Testing                                          6-1

   In this set of exercises, you will become acquainted with convergence testing as
   one (but not the only) mark of a reliable antenna model.  You will earn the
   rationale for convergence testing and then, through a series of hand-on
   exercises, learn to perform the test and to evaluate the results.

    7         Frequency Specification                                      7-1

   The exercises in this chapter will develop an understanding of the importance
   of careful frequency specification for models.  The chapter will guide you from
   one-frequency ("spot") modeling to various types of multi-frequency ("sweep")
   modeling.  The chapter will also introduce you to potentials and pitfalls in
   frequency-scaling your models.


Chapter          Title                                                   Page

Part B      Common Modeling Techniques, Limitations, and Work-Arounds      B-1

    8         Source Types and Placement                                   8-1

   The exercises in this chapter will focus upon types and placement of sources in
   antenna models.  We shall encounter both voltage and current sources--as well
   as when each is best applied--along with single, split, and multiple sources.  The
   exercises will also show you how to ensure that a source is exactly where you
   want it.

    9         Tapered-Diameter Elements                                    9-1

   NEC-2's inability to model accurately physical elements with a tapering diameter
   has resulted in a standard work-around modeling method.  These exercises will
   familiarize you with the detailed terms of the limitation, the requirements for
   correctly applying the substitute model, and limitations associated with the use
   of the corrective.

   10         Geometry Limitations                                        10-1

   In this set of exercises, you will learn of some NEC-2 limitations for which there
   are no direct work-arounds.  Of equal importance, you will learn something of
   the process by which such limitations are analyzed and evaluated in a small
   series of detailed modeling tests.

   11         Grounds and Applications                                    11-1

   This exercise set will acquaint you with the many ground options (including the
   no-ground or "free space" choice) available within NEC-2.  In addition, you will
   work with some of the primary applications of the grounds, in some cases
   finding ways to speed your analysis or development work by making the most
   optimal selection.

   12         Resistive Loads                                             12-1

   This chapter will explore resistive loads.  Resistive loads may be distributed or
   "spot" loads.  Distributed loads, or the conductivity of the wire material, are
   integral to all but theoretic antennas.  Spot loads, with specific resistance values
   and segment placement, will be useful in a variety of applications.

   13         Reactive Loads                                              13-1

   Reactive loads (which also include resistive components) are so commonplace
   in antenna design that NEC-2 offers three distinct ways of incorporating them
   in models.  These exercises will familiarize you with some applications of
   reactive loads and also the best techniques for modeling them in each
   application.

   14         Transmission Lines                                          14-1

   The final major ingredient that we shall explore is NEC-2's transmission line
   function.  In addition to developing an understanding of how to implement
   transmission lines within the program, we shall also look at ways of modeling
   some of the major applications of transmission lines in various antenna
   configurations.


Chapter          Title                                                   Page

Part C      Practical Antenna Modeling                                     C-1

   15         Monopoles and Ground Planes                                 15-1

   In these exercises, you will become familiar with modeling techniques useful for
   1/4wl and similar monopoles and their associated ground planes over perfect
   ground and above real ground.  In addition, you will learn some substitute
   techniques for modeling ground planes that are below ground.

   16         Vertically Polarized Antennas and Arrays                    16-1

   In these exercises, you will meet a wide variety of vertically polarized antennas
   and arrays, ranging from the vertical dipole to 1wl loops of phased verticals to
   directional vertical antenna systems.  Some arrays will employ parasitic
   techniques, while others will use phased elements.

   17         Bi-directional Wire Arrays                                  17-1

   Although less prominent than other types of antennas today, bi-directional wire
   arrays occupy an important niche in MF and HF radio communications.  In these
   exercises, you will become acquainted with the modeling techniques necessary
   to develop and analyze this diverse group of antennas, including the routine use
   of transmission lines as part of the design.

   18         Yagis                                                       18-1

   The Yagi antenna is among the most common and varied horizontally polarized
   antenna design used from HF through UHF.  In these exercises, you will
   become acquainted with some of the characteristics of parasitical antenna
   element modeling and operation.  You will also work with multi-band Yagis and
   with stacks.

   19         Horizontal Parasitic and Phased Arrays                      19-1

   Horizontal directional arrays are not limited to Yagis.  In this set of exercises,
   you will encounter a variety of simple and complex horizontally polarized
   antennas using either parasitical or phase-line arrangements.  In fact, in at least
   one case, the antenna will use both types of arrangements.

   20         VHF/UHF Antennas                                            20-1

   The VHF/UHF range (30-3,000 MHz) presents a diversity of modeling
   challenges, ranging from very large arrays of "HF-type" antennas to special
   purpose antennas.  We shall survey a part of the assortment in order to become
   acquainted with concerns unique to modeling the smaller physical elements in
   varied applications.

   21         Special Structures                                          21-1

   In our final exercises, we shall encounter a medley of different physical and
   electrical structures.  Most will have only occasional application; others introduce
   some advanced techniques; still others are simply odd but interesting.  Their
   sum is the knowledge that many modeling projects require as much ingenuity
   as technical know-how.

Appendix    Some Useful Data for Antenna Modelers                        App-1

   The Appendices contain a potpourri of information useful to antenna modelers.  You
   should perhaps clip or key this appendix, since you are likely to refer often to the
   data on these pages.
   1.  Conductivity and Permittivity of Common Ground Conditions
   2.  Conductivity and Resistivity of Common Materials Used in Antenna
   Construction
   3.  Common Wire Gauges and Associated Diameters in Inches and in Millimeters
   4.  Some Common Frequency-Wavelength Relationships
   5.  Frequency Domains
   6.  Some Common Transmission Lines Values
   7.  Metric-English Conversion
   8.  List of Models in Order of Appearance

Index                                                                    Ind-1