Dual-band blade antenna

Monopole equations can be arrived by inspection of dipole antenna derivations with the knowledge that all radiation occurs in half the volume when compared to said dipole antenna. This leads to the following equations:

Directivity

${\displaystyle D_{mono}={\frac {4\pi }{\Omega _{A,mono}}}=2D_{dipole}}$[1]

This leads directly to the earlier stated maximum gain relation to a dipole by the definition of gain a ${\displaystyle G=\epsilon D}$ where ${\displaystyle \epsilon }$ is the antenna radiation efficiency.

Impedance

${\displaystyle Z_{A,mono}={\frac {1}{2}}Z_{A,Dipole}}$[1]

Radiation Resistance

${\displaystyle R_{r,mono}={\frac {1}{2}}R_{r,mono}}$[1]

As can be seen in section 1 of the linked radiation resistance article.

A blade antenna is an attempt to create a broader band monopole (when compared to a thin wire monopole). Most blade antennas are trapezoidal in shape. Variations have been made on this shape for aerodynamic purposes and notches have been introduced in order to achieve a better broad band performance. This type of monopole antenna is generally used in aviation for VHF and UHF frequency range.

For more information see the Antenna Engineering Handbook.[2]

A slot antenna can be viewed as a dipole with opposite polarization. This is due to the typical feed which sets the orientation of the E-field across the smallest linear dimension of the slot. The following equations can be used to 'translate' a vertical or horizontal slot antenna into its complement (dipole):

${\displaystyle E_{\theta s}=H_{\theta c}\qquad E_{\phi s}=H_{\phi c}\qquad H_{\theta s}=\,-{\frac {E_{\theta c}}{\eta _{o}^{2}}}\qquad H_{\phi s}=\,-{\frac {E_{\phi }c}{\eta _{o}^{2}}}}$[3]

Where the subscript S denotes the opening on the screen and the subscript C denotes its complement (a dipole). In addition, ${\displaystyle \eta ={\sqrt {\tfrac {\mu }{\epsilon }}}}$ where ${\displaystyle \mu }$ is the complex permeability and ${\displaystyle \epsilon }$ is the complex permittivity of the medium into which one is radiating. This assumes an unbounded medium. In addition, all of the slot equations assume a screen thickness much less than a wavelength (${\displaystyle <{\tfrac {\lambda }{10}}}$). If these were not held to be true, fringing and the existence of modes could not be ignored.

This is defined by Babinet's principle and Booker's Extension further expands this principle to include polarization. The simple equations from Babinet's principle are stated on the linked page for which the author has had input.

Dual band antennas are not a new idea. For years many manufactures have combined multiple elements to create antennas that operate in two separate bands (do not get this confused with so-called frequency independent antennas such as a log-periodic antenna).

One way to create a dual band blade antenna is to create a slot in a blade antenna that is less than or on the order of ${\displaystyle {\tfrac {\lambda }{10}}}$ so that the lower frequency does not 'see' the slot (it is a rule of thumb that the perturbation created by a discontinuity less than ${\displaystyle {\tfrac {\lambda }{10}}}$ on a structure is negligible).

This example will use a design for an approximate frequency for Biomedical Telemetry at 460 MHz and GPS frequency L1 (1575.42 MHz) in a single package (I hesitate to say a single antenna because there are two radiating elements which would require two baluns for matching). Please keep in mind, these are not match to any transmission line. Therefore, the design will not be practical for use. It is only for demonstration purposes.

Below you will see the simple used for the simulations. The ground plane is twice the wavelength at 460 MHz.

Model used for Simulation

Below is a comparison of the horizontal radiation patterns at L1 for both the blade and the slot. The slot exhibits the figure 8 dipole pattern with decent gain. While the blade still radiates, the gain is lower and the pattern is very loby creating nulls. Please note, for a larger image, follow the link in each caption or just click on the image (it will be better quality if you click the image).

• L1 Horizontal Radiation Patterns
• 
  Horizontal Polarization Radiation Pattern for the Slot at L1 Link.
• 
  Horizontal Polarization Radiation Pattern for the Blade at L1 Link.

One will also note the polarization of the two elements. As stated before, the polarization of the slot is due to its feed which is generally across the smallest linear dimension. Hence, this slot is Horizontally polarized with respect to the ground plane and the blade is vertically polarized with respect to the ground plane.

• L1 Vertical Radiation Patterns
• 
  Vertical Polarization Radiation Pattern for the Slot at L1 Link.
• 
  Vertical Polarization Radiation Pattern for the Blade at L1 Link.

Here we are seeing the vertically polarized radiation patterns or Vpol for 460 MHz.

• 460MHz Vertical Radiation Patterns
• 
  Vertical Polarization Radiation Pattern for the Slot at 460 MHz Link.
• 
  Vertical Polarization Radiation Pattern for the Blade at 460 MHz Link.

Whereas presented here we can see the Hpol radiation pattern for both the blade and slot elements.

• 460MHz Horizontal Radiation Patterns
• 
  Horizontal Polarization Radiation Pattern for the Slot at 460 MHz Link.
• 
  Horizontal Polarization Radiation Pattern for the Blade at 460 MHz Link.