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ASOC Restricted course Section A 🌍 Radio Wave Propagation

Ground Wave, Sky Wave and Space Wave

The ionosphere layer by layer, critical frequency, MUF, skip distance and skip zone, and the several different things called fading.

  • Lesson 21 of 36
  • 16 min read
  • Syllabus A(vi)3

This is the lesson that turns a licence into a hobby. Everything else in Section A explains how the signal is made; this explains where it goes. It answers the questions that puzzle every new operator: why 40 metres is dead at three in the afternoon and full of Japan at ten at night, why a station 200 km away cannot hear you while one 3000 km away can, and why 5 watts on 2 metres from a hilltop beats 50 watts from a valley. It is also the largest single block of marks in the propagation module.

Three ways a signal can travel

Energy leaving your antenna reaches the far station by one of three routes, and which one dominates depends almost entirely on frequency.

ModePathDominant onTypical range
Ground (surface) waveClings to the earth's surface and follows its curvatureVLF, LF, MF and the very bottom of HFTens to a few hundred km on 160 m; thousands on VLF
Sky waveRadiated upwards, refracted back to earth by the ionosphereHF, roughly 3–30 MHzHundreds to many thousands of km
Space waveDirect ray plus the ground-reflected ray — essentially line of sightVHF, UHF and above (over 30 MHz)To the radio horizon, typically 20–80 km

Strictly, the ground wave is the whole of the signal travelling near the earth, and it divides into the surface wave, which is dragged along in contact with the ground, and the space wave, made of the direct ray and the ray reflected off the earth. In amateur usage “ground wave” almost always means the surface wave, and that is how the exam uses it too.

The ground wave

A vertically polarised wave travelling along the surface induces currents in the ground beneath it, and those currents dissipate energy as heat. The wave is therefore being attenuated continuously by the very surface that guides it. Two things decide how far it gets:

Put those together and you have the exam answer: the ground wave reaches furthest at the lowest frequency over sea water. It is why 160 m gives reliable within-state contacts at any hour whatever the ionosphere is doing, and why nobody has ever heard of ground-wave working on 2 metres — at 145 MHz the surface wave is absorbed within a kilometre or two, and everything you hear on VHF is space wave.

The ionosphere

Between roughly 60 and 400 kilometres up, the air is so thin that the ultraviolet and X-radiation from the sun can strip electrons from gas molecules faster than they can recombine. The result is a region of free electrons and ions — the ionosphere. A radio wave entering a region of free electrons is slowed and bent; if the electron density is high enough and the wave is not too high in frequency, it is bent far enough to come back down. Papers usually say the layer “reflects” the signal. It is really refraction, a gradual bending, and it is worth knowing the difference because it explains why the effect depends so sharply on the angle at which the wave arrives.

Different gases predominate at different heights and different wavelengths of sunlight penetrate to different depths, so the ionisation is not uniform. It forms recognisable layers.

DAY NIGHT 400 240 90 0 km F2 · 250–400 km refracts — the DX layer F1 · 180–220 km E · 110 km D · 60–90 km ABSORBS F · one layer, ~300 km F1 and F2 merged E · weak D layer — gone earth
The ionosphere by day and by night, drawn to a common height scale. By day there are four layers; the D layer absorbs and the others refract. After dark the D layer disappears within minutes and F1 and F2 merge into one F layer at around 300 km. That single change is why the low bands come alive at night.
LayerHeightWhat it doesAfter dark
D60–90 kmAbsorbs. Too low and too collision-rich to refract HF; it simply soaks up energy, worst at the lowest frequenciesDisappears within minutes of sunset
Eabout 110 kmRefracts the lower HF frequencies over shorter hopsWeakens greatly but does not vanish
F1180–220 kmRefracts; exists by day onlyF1 and F2 merge into a single F layer at about 300 km
F2250–400 kmThe highest and most strongly ionised. Returns the highest frequencies and gives the longest hop — the layer all HF DX depends on

The two facts to fix in your memory are that D absorbs and F2 does the DX, and that after sunset D vanishes and the two F layers become one. Almost every day-and-night question on the paper is answered by those two sentences.

Critical frequency, MUF and LUF

Point an antenna straight up and sweep the frequency upwards. Below a certain frequency, everything comes back down. Above it, the signal punches through the layer and carries on into space. That dividing frequency, measured at vertical incidence, is the critical frequency of the layer.

Real contacts do not use vertical paths. A wave arriving at the layer at a shallow angle needs to be bent much less to be turned back, so it can be returned at a much higher frequency than the critical frequency. The highest frequency that a given path will support at a given moment is the maximum usable frequency, the MUF. The MUF is always higher than the critical frequency, and the shallower the angle the higher it goes.

TermMeaning
Critical frequencyHighest frequency returned when radiated vertically upwards
MUFMaximum usable frequency for a specified path at a specified time. Above it, the signal passes through the ionosphere and is lost
LUFLowest usable frequency — below it, D-layer absorption swallows the signal before it gets anywhere
OWF / FOTOptimum working frequency, conventionally about 85% of the MUF — high enough to beat absorption, low enough to survive a change in conditions

Work right at the MUF and the path is on a knife edge: a small drop in ionisation and it fails completely. Work below the LUF and absorption kills you. The usable window is between the two, and the sweet spot is the OWF. Note the corollary that satellite work depends on: to get out of the ionosphere you must be above the critical frequency, which is why amateur satellites use VHF and UHF and never HF.

Angle of radiation, skip distance and the skip zone

Because refraction depends on the angle at which the wave meets the layer, the take-off angle of your antenna decides where the signal lands. A steep ray is turned back quickly and comes down close to home. A shallow ray travels a long way before it reaches the layer, is bent through a smaller angle, and comes down a very long way off.

Lowering the angle of radiation lengthens the skip distance, which is what you want for DX. The usual way to lower the angle of a horizontal dipole is to get it higher above ground — half a wavelength up is the point at which a dipole stops firing mostly upwards and starts firing usefully towards the horizon. On 20 m that is 10 metres of mast. This is the entire reason experienced operators talk about antenna height before they talk about power.

See it move

Drag the take-off angle slider below and watch the first hop run outwards as the angle falls; then push the frequency past the MUF and watch the ray leave through the top of the picture altogether. Those two behaviours are this whole section in one diagram.

Skip & the MUF lower the angle, watch the hop lengthen

Schematic, and deliberately so: the layer heights are exaggerated many times against the earth’s radius, and the ray is drawn as two straight lines rather than the gentle curve refraction actually produces. The distances in the readout are computed on the real curved geometry.

A lower take-off angle gives a longer skip. That single sentence is the whole argument for getting an HF antenna high and clear: height lowers the angle at which the antenna radiates most strongly, and the lower angle puts the first hop thousands of kilometres further out.

Skip distance
Ground wave reaches
Skip zone
Angle at the layer
Maximum usable frequency

Two definitions the exam separates carefully:

Worked example — the skip zone

A station's ground wave is usable out to 120 km. Its sky wave first returns to earth at 300 km. What is the skip zone?

skip zone = skip distance − ground wave range = 300 − 120 = 180 km

Anyone between 120 and 300 km from that station hears nothing. The skip distance is the 300 km figure; the skip zone is the 180 km gap.

Hops

A signal returned to earth can be reflected back up by the ground and refracted down again, and so on. Each up-and-down is a hop.

PathApproximate distance covered
One E-layer hopup to about 1000 km
One F2 hopabout 2000 km
Two F2 hopsabout 4000 km

Those are the working figures the syllabus material uses, and they are the ones an arithmetic question will expect. Beyond about 4000 km the losses at each ground reflection start to mount, so a long path is always weaker than its length alone suggests. If a question states a hop distance, use the number it gives you and divide.

Worked example — counting hops

A single hop covers at most 2000 km. What is the minimum number of hops for a 3600 km path?

3600 ÷ 2000 = 1.8, so one hop is not enough and you round up: two hops, each about 1800 km.

Every ground reflection costs signal, so a five-hop path is much weaker than the distance alone suggests. This is one reason a contact into Europe from India on 20 m can be strong while one into South America, which needs more hops, is marginal.

Fading — four different things with one name

“Fading” on the paper means several distinct mechanisms, and telling them apart on the air is a genuinely useful skill.

TypeCauseWhat it sounds like
Absorption (general) fadingIonospheric absorption varying as the layers shiftThe whole signal rises and falls together over tens of seconds. AGC in the receiver hides most of it
Multipath fadingThe same signal arriving by two or more paths of different length, adding in and out of phaseA rapid flutter, sometimes a hollow echo. On CW, a signal that pulses several times a second
Polarisation fadingThe ionosphere rotates the plane of polarisation, so a fixed antenna alternately matches and mismatches the arriving waveSlow, deep, regular fades — very common on VHF satellite paths
Selective fadingMultipath phase difference varying across the signal bandwidth, so some frequencies cancel while others reinforceSpeech goes muddy, watery and distorted rather than simply quiet. Worst on AM, where the carrier can fade below the sidebands

The distinction the examiner wants is between general fading, where the whole signal fades equally and AGC copes, and selective fading, where parts of one signal fade differently and no amount of AGC will fix it.

The sun sets the conditions

The ionosphere exists because of the sun, so solar behaviour governs everything above.

Day and night, from India

Put the D layer and the F layers together and the daily rhythm of the bands follows inevitably.

BandDaytimeNight
160 m, 80 mHeavy D absorption. Useful only out to a few hundred km, which makes them excellent for within-India netsD layer gone — long-haul paths open, best around and after local midnight
40 mReliable for a few hundred to a thousand km across IndiaThe classic Indian evening DX band; Europe, Japan and Australia after dark
20 mThe workhorse. Open somewhere in the world nearly all dayOften stays open well into the evening, then closes
15 m, 10 mDay bands. Need good solar activity; typically open from mid-morning and close soon after sunsetNormally closed, except during sporadic E

The reason is the D layer: it exists only in daylight and it absorbs most fiercely at the lowest frequencies. In the daytime it removes 80 m and 40 m from DX use entirely. At sunset it goes, leaving the F layer to refract, and those bands open. The high bands, by contrast, need strong F2 ionisation to be returned at all, and that only exists in daylight — so they close when the sun goes down. Watch also for the grey line, the twenty minutes or so around your sunrise and sunset when the D layer has gone but the F layer is still ionised: the low bands can be remarkably good along the terminator.

Propagation without the ionosphere

Tropospheric propagation and ducting

The troposphere is the lowest 10–14 km of the atmosphere, and its refractive index falls gradually with height. That gradient bends a VHF or UHF ray slightly downwards, which is what extends the radio horizon past the optical one. When a temperature inversion forms — warm air lying over cool, very common over the Arabian Sea and the Bay of Bengal, and over the plains on still nights after a hot day — the gradient becomes strong enough to trap signals in a duct, and 2 m contacts of several hundred kilometres become possible with ordinary equipment. This is tropospheric, not ionospheric: it works on VHF and UHF, where the ionosphere does nothing.

Sporadic E

Patches of intensely ionised cloud sometimes form at E-layer height, lasting minutes to hours and covering a few hundred kilometres. They will return frequencies far above the normal E-layer critical frequency, giving sudden strong openings on 10 m and 6 m and occasionally on 2 m, over roughly 1000–2000 km. Sporadic E is commonest in the northern summer and has nothing to do with sunspot number, so it is the one route to a 6 m opening even at solar minimum.

VHF and UHF: line of sight and the radio horizon

Above about 30 MHz the ionosphere no longer bends signals back down under normal conditions; they pass straight through. What remains is the space wave, and range is set by geometry — how far you can see, plus a little. Because the troposphere bends the ray gently downwards, the radio horizon is about 15% further than the optical horizon.

d (km) = 4.12 × √h (metres)

radio horizon from an antenna h metres above ground

Distance to the radio horizon in kilometres is four point one two times the square root of the antenna height in metres.

The optical version of the same formula uses 3.57 rather than 4.12, and 4.12 ÷ 3.57 is 1.15 — the 15% is built into the constant. For a path between two stations, work out each station's horizon and add them.

Worked example — how far will 2 m reach?

Your antenna is 30 m above ground on a Bengaluru rooftop. The station you are working has hers at 10 m.

d1 = 4.12 × √30 = 4.12 × 5.48 = 22.6 km

d2 = 4.12 × √10 = 4.12 × 3.16 = 13.0 km

total = 22.6 + 13.0 = 35.6 km

Notice what does not appear in that calculation: power. Doubling your transmit power moves that figure by almost nothing, while doubling your antenna height moves it by 41%. Height, then a clear path, then power — in that order, always, on VHF.

Practice

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