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Lesson 66

Space Wave Propagation and Line-of-Sight Communication

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Hello! Welcome to the final lesson in our module on modes of communication.

In our last session, we explored how the ionosphere refracts radio waves in the HF band (3-30 MHz), enabling long-distance sky wave communication. We concluded that signals with frequencies above this range are not bent back to Earth; they pass straight through the ionosphere into space.

This might sound like a limitation, but it's the foundation for our most common forms of high-fidelity broadcasting and modern wireless technology. Today, our learning goal is to describe the characteristics of space wave propagation, including line-of-sight communication. We will investigate how these high-frequency signals travel and the factors that govern their use, from your car's FM radio to the principles behind satellite links.

1. Defining Space Wave and Line-of-Sight (LOS) Communication

When a radio wave with a frequency above 30 MHz (in the VHF, UHF, and microwave bands) is transmitted, it is not refracted by the ionosphere. Instead, it travels through the lower part of the atmosphere, the troposphere. This mode of travel is called space wave propagation.

The primary way these waves travel is in a straight line from the transmitting antenna to the receiving antenna. This is known as Line-of-Sight (LOS) communication. The name is quite literal: for communication to occur, the receiving antenna must be able to "see" the transmitting antenna, without any major obstacles in the way.

To get a clear overview of these fundamentals, let's watch a short video.

Space Wave Propagation (Basics, Limitations, Radio Horizon Extension & Applications) Explained

The video 'Space Wave Propagation' by Engineering Funda provides an excellent introduction. It defines space wave and LOS communication, explains the frequency range involved, and distinguishes between the two main paths the wave can take.

Watch the segment from 00:31 to 04:15. Focus on these three key points: Why space wave propagation is also called line-of-sight (LOS) propagation. The frequency range used (> 30 MHz) and why lower frequencies are not suitable. The difference between the 'direct wave' and the 'reflected wave'.

As the video explained, a receiver in this mode can pick up two signals:

  1. The Direct Wave: Travels in a straight line directly from the transmitter to the receiver.
  2. The Reflected Wave: Reaches the receiver after bouncing off the Earth's surface.

This is visualized well in the diagram below.

Space Wave Propagation Paths
This diagram illustrates the primary paths in space wave propagation. The direct path (D1) represents the line-of-sight wave, while the reflected path (D3) shows the wave bouncing off the Earth before reaching the receiver.

The reflected wave travels a longer distance than the direct wave. This path difference can cause the two waves to arrive at the receiver out of sync (with a phase difference), potentially leading to interference that can weaken the final signal.


2. The Radio Horizon: The Limit of LOS Communication

Since space waves travel in straight lines, their range is limited by the curvature of the Earth. An antenna can only transmit as far as the horizon. This maximum range is called the radio horizon.

Line of Sight Communication in Terrestrial Environments
As this illustration shows, the curvature of the Earth is a fundamental obstacle that limits the distance of pure line-of-sight communication.

To increase the communication range, we need to overcome this limitation. The most straightforward way is to increase the height of the transmitting and/or receiving antennas. Think of a lighthouse—it's built tall so its light can be seen from farther away over the curve of the sea. Radio antennas for TV and FM broadcasting operate on the same principle.

We can calculate this maximum LOS distance using some simple geometry. Given the Earth's radius , the height of the transmitting antenna , and the height of the receiving antenna , the maximum distance is:

Where is the distance to the horizon from the transmitting antenna and is the distance to the horizon from the receiving antenna.

The derivation of this formula relies on the Pythagorean theorem, which you can see in detail in the next video segment.

Space Wave Propagation (Basics, Limitations, Radio Horizon Extension & Applications) Explained

Let's return to the 'Space Wave Propagation' video, which now provides a clear, step-by-step derivation of the formula for the maximum LOS distance.

Watch the segment from 04:15 to 07:30. Follow the geometric derivation. You don't need to memorize the final numerical constant, but understand how the formula d = sqrt(2RhT) + sqrt(2RhR) is derived.

Test your understanding!

A TV transmission tower has a height of 160 m. What is the maximum distance up to which the TV transmission can be received? (Assume the receiving antenna is at ground level, , and the radius of the Earth is m).

Show answer

Given: m, , and m.

The formula for maximum distance is .

Since the receiver is at ground level, , so the second term is zero.





The maximum distance is approximately 45.25 km.


3. Real-World Characteristics of Space Wave Propagation

The simple geometric line-of-sight model gives us a good first approximation, but for a deeper conceptual understanding, we must consider other real-world effects.

Atmospheric Refraction

The Earth's atmosphere is not uniform; its density decreases with altitude. This change in density causes radio waves to bend slightly downwards as they travel. This phenomenon is called atmospheric refraction.

The effect is that the waves can travel slightly beyond the geometric horizon. This effectively makes the Earth seem "flatter" to the radio wave. We can model this by using an effective Earth radius that is about 4/3 times the actual radius. This extends the practical communication range by about 15% beyond what the simple formula predicts.

The video segment below explains this concept of "radio horizon extension."

Space Wave Propagation (Basics, Limitations, Radio Horizon Extension & Applications) Explained

The same video from Engineering Funda explains how atmospheric refraction extends the radio horizon.

Watch from 07:30 to 11:17. Focus on the concept of radio horizon extension and the idea of a modified or 'effective' Earth radius (4/3 R).

Obstacles, Diffraction, and Fresnel Zones

In the real world, the path between antennas is rarely a perfect vacuum. It can be blocked by buildings, hills, or even trees.

  • Absorption & Reflection: Obstacles can absorb or reflect radio waves, causing signal loss. Water and metal are particularly effective at blocking microwave signals.
  • Diffraction: This is the tendency of waves to bend around the edges of an obstacle. Thanks to diffraction, it's sometimes possible to receive a signal even when the direct line of sight is slightly blocked by an object like a hilltop.
  • Fresnel Zone: For a high-quality link, it's not enough for the direct geometric line between the antennas to be clear. A cigar-shaped region around this line, known as the first Fresnel zone, must also be largely free of obstructions. If this zone is more than 40% blocked, the signal strength will be significantly reduced. This is a key concept in designing reliable microwave links.

You can learn more about these practical characteristics in the following resource.

A Practical Introduction to Radio Physics

The document 'A Practical Introduction to Radio Physics' explains these real-world effects conceptually.

Skim through the sections on 'Reflection' (Section 2.3), 'Diffraction' (Section 2.4), 'Line of sight' (Section 2.6), and 'Understanding the Fresnel zone' (Section 2.6.1). You don't need to do the calculations in the Fresnel zone section, but focus on understanding the concept that LOS requires a clear volume, not just a thin line.


4. Applications of Space Wave Propagation

The characteristics of space wave propagation make it ideal for many modern communication technologies that require high bandwidth. These include:

  • FM Radio Broadcasting (88 – 108 MHz)
  • Television Broadcasting (VHF and UHF bands)
  • Cellular Communication (mobile phones connecting to towers)
  • Radar Systems
  • Microwave Links (for telecommunications and data networks)
  • Satellite Communication

Let's watch a final clip that summarizes these applications.

Space Wave Propagation (Basics, Limitations, Radio Horizon Extension & Applications) Explained

To conclude, this short segment lists the key applications of space wave propagation, connecting the theory to the technologies we use every day.

Watch from 11:17 to 12:24.


Conclusion

Today we've seen how high-frequency radio waves that pass through the ionosphere form the basis of space wave propagation. This mode is fundamental to much of our modern wireless world.

Key Takeaways:

  • Space wave propagation is used for frequencies above 30 MHz and primarily occurs as Line-of-Sight (LOS) communication.
  • The maximum range is limited by the Earth's curvature and can be extended by increasing antenna height. The range is calculated by .
  • Atmospheric refraction bends waves slightly, extending the radio horizon beyond the geometric horizon.
  • Real-world factors like reflection, absorption, diffraction, and the need for a clear Fresnel zone affect signal quality.
  • This mode is essential for FM/TV broadcasting, mobile telephony, and satellite communication.

Preview of the Next Lesson:
We've now covered all three fundamental modes of propagation: ground wave, sky wave, and space wave. You've seen that one application of space waves is satellite communication. In our next lesson, we will begin a new module and take a closer look at this application, exploring how placing a repeater in space effectively overcomes the line-of-sight limitations imposed by the Earth's horizon, enabling global communication.