# Horn antenna

This post describes a methodology for the design of a pyramidal horn antenna. Following posts build on it and provide more details. A pyramidal horn is a popular antenna that has very little loss and is used commonly in antenna systems.  The structure of the pyramidal horn is shown in FIGURE 1.0 below.

The design of a horn like this begins with a specification. Usually the following parameters are given:

Gain (in dBi)

a (inches or cm) (usually the horn is fed from a waveguide)

b (inches or cm) (usually the horn is fed from a waveguide)

frequency (Hz)

The problem is to find A and B, and other dimensions shown below. Once we have these dimensions, we can find other parameters of the antenna.

The usual procedure is to solve an equation to get a key parameter using the given specifications. This methodology will be outlined in this post and access to the equation solver will be provided. Subsequent posts will add more detail so that an engineer will be able to get a first cut design of the horn and fabricate it.

After the required key value is obtained through solving the equation the following steps are used to find the Horn parameters.

Use

λ is the wavelength of the signal in cm. le is found from the solution of the equation.

Calculate B from this equation.

From B, λ, le and G calculate A. The equation to be used is:

G = (½)(4π/λ2)(AB)

Now we have A and B.

lh is found from the following equation:

A = sqrt(3λlh)

Calculate RH and RE from the following equation:

RE = (B -b)(sqrt[(le/B)2 – ¼)])

Since we are dealing with a pyramidal horn RE =RH

Use the following equation for R1:

lh2 = R12 + (A/2)2

Use the following equation to calculate R2:

le2 = R22 + (B/2)2

The equation to be solved is:
The quantity σ has to be solved for.
σ =le/λ . This equation is best solved numerically with a starting value of σ = G/2π√6. The Python program that was written to do this is available on request at spg@signalpro.biz or spg327@gmail.com

Ref: This blog is partially based on “Antenna Theory and Design, by Warren L. Stutzman and Gary A. Thiele. The book was published by John Wiley and Sons, 1981.
Ref: The Python program was written by Anuj Tripathi, University of Arizona, Tucson, Arizona.

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#### A wideand RF detector ( 40 Mhz to 3 Ghz) -75 dBm to 5 dBm input

A wideband RF detector

#### Linear detector performance

Linear detector performance curves

#### A wideband linear RF detector

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#### 2 stage amplifier deta

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#### Mni LNA performance

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#### A high frequency divider from 500 Mhz to % Ghz+

The input interface.
The frequency divider has a differential analog interface. The following parameters apply:
The minimum frequency that can be input is 500 Mhz and the maximum frequency is 6.0 Ghz.
The RF input level is 5 dBm to – 5 dBm. For lower frequencies make sure that the slew rate is
greater than 560 V/us. The input is biased by two 500 Ohm resistors connected to a 1.6V DC bias.
Therefore AC coupling is used at the input. These are two 100pF capacitors.
The output interface.
The output is single ended. The output driver is capable of sourcing and sinking 24 mA. The
equivalent output impedance is 50 Ohm. To avoid reflections it is recommended that the divider
work into a 50 Ohm load.
General operation.
The inputs are applied to the input SMA I/O. The product will work with both a differential input as
well as a single ended input. However, a differential input works best. The division ratio is applied
to the N1 and N2 control inputs as follows:
N2 N1 Division ratio
0 0 8
0 1 16
1 0 32
1 1 64
The logic levels are:
Logic level Voltage
1 1.4V minimum
0 0.6V maximum
The supply voltage interface.
The operating supply voltage is 3.3V typical. The quiescent (DC) operating supply current is 2 mA.

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#### DC to 3 Ghz RF SPDT switch

RF Switch typical features

Supply voltage = Vcc = 0/+5 Vdc
Operatng temperature = TA = -50° C to 125 Deg C
Operating impedance = 50 Ohm
Input power for 1 dB
compression ( 5.0V system) = 37 dBm ( f = 0.5 to 3 Ghz)
Input third order Intercept = 64 dBm ( 0 to 5.0V system, f = 0.5 to 3 Ghz)
Operating frequency range = DC to 3 Ghz.
Insertion loss DC to 3 Ghz = 0.8 dB
Isolation DC to 3 Ghz = 14 dB minimum
Return loss DC to 3 Ghz = 20 dB
50% contl to 10/90 %
( ON/OFF) = 120 ns

#### A single stage RF amplifier summary specifications

Summary Specifications

Gain,  Operating: 19.5 dB
Operating frequency range: 1.0 – 2700 Mhz
OIP3: (Pout = 19.0 dBm),  -8.5 dBm
P1dB: 4.6 dBm
N.F: 4.2 dB
Supply voltage Operating: 3.3  – 5.5 Volts

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30 day return policy, buyer ships.
Supply current Supply = 5.0V,  23.0 mA