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Antenna & Wave Propagation (4341106) - Summer 2024 Solution

20 mins· ·
Study-Material Solutions Antenna Wave-Propagation 4341106 2024 Summer
Milav Dabgar
Author
Milav Dabgar
Experienced lecturer in the electrical and electronic manufacturing industry. Skilled in Embedded Systems, Image Processing, Data Science, MATLAB, Python, STM32. Strong education professional with a Master’s degree in Communication Systems Engineering from L.D. College of Engineering - Ahmedabad.
Table of Contents

Question 1(a) [3 marks]
#

Define Beam Area and Beam Efficiency.

Answer:

Beam Area: The solid angle through which all of the power radiated by an antenna would flow if the radiation intensity was constant throughout this angle and equal to the maximum value.

Beam Efficiency: The ratio of the power contained in the main beam to the total power radiated by the antenna.

Diagram:

graph LR
    A[Beam Area] --> B[Solid angle containing<br>most of the radiated power]
    C[Beam Efficiency] --> D[Main Beam Power/Total Power]
    D --> E[Higher efficiency = Better antenna]

Mnemonic: “BEAM: Better Efficiency Achieves Maximum performance”

Question 1(b) [4 marks]
#

What is EM field? Explain its radiation from center fed dipole.

Answer:

EM field is a physical field produced by electrically charged objects that affects charged particles with a force.

Diagram:

(EvHc-e-ifrfriticeieulclldadalr))ccuurrrreennttd(EviHc-ep-ifrofritliceieeulclldaadalnr)t)enna
  • Electric field: Perpendicular to antenna axis, maximum at antenna ends
  • Magnetic field: Circular around antenna axis
  • Radiation mechanism: Alternating current creates time-varying fields
  • Field behavior: Near field (reactive) → intermediate → far field (radiating)

Mnemonic: “CERD: Current Excites Radiating Dipole”

Question 1(c) [7 marks]
#

Explain Power radiated by elementary dipole using Poynting Vector.

Answer:

Power radiated by an elementary dipole can be calculated using the Poynting vector, which represents power flow density.

Table: Key Steps in Poynting Vector Analysis

StepDescription
1Calculate E-field components (Eθ, Eφ)
2Calculate H-field components (Hθ, Hφ)
3Determine Poynting vector: P = E × H
4Integrate over a spherical surface

Diagram:

graph LR
    A[Poynting Vector<br>P = E × H] --> B[Time-average<br>power density]
    B --> C[Integrate over sphere<br>P = ∫∫P·ds]
    C --> D[Power radiated<br>P = 80π²I²l²/λ²]
  • Electric field: E = (jη I₀dl/2λr) sin θ e⁻ʲᵏʳ
  • Magnetic field: H = (j I₀dl/2λr) sin θ e⁻ʲᵏʳ
  • Poynting vector: P = E × H* = (η|I₀|²|dl|²/8π²r²) sin² θ
  • Total power: P = (η|I₀|²|dl|²/12π) = 80π²I²l²/λ²

Mnemonic: “PEHP: Poynting Explains How Power propagates”

Question 1(c) OR [7 marks]
#

Define Antenna, Radiation Pattern, Directivity, Gain, FBR, Isotropic Radiator and Effective Aperture.

Answer:

Table: Key Antenna Parameters

ParameterDefinition
AntennaA device that converts guided electromagnetic waves to free-space waves and vice versa
Radiation PatternGraphical representation of radiation properties as a function of space coordinates
DirectivityRatio of radiation intensity in a given direction to average radiation intensity
GainRatio of radiation intensity to that of an isotropic source with same input power
FBR (Front-to-Back Ratio)Ratio of power radiated in forward direction to that in backward direction
Isotropic RadiatorTheoretical antenna that radiates equally in all directions
Effective ApertureRatio of power received by antenna to incident power density

Diagram:

pie
    title "Antenna Performance Factors"
    "Directivity" : 25
    "Gain" : 25
    "Effective Aperture" : 20
    "Radiation Pattern" : 15
    "FBR" : 15

Mnemonic: “DIAGRAM: Directivity Improves Antenna Gain, Radiation And More”

Question 2(a) [3 marks]
#

Explain principle of pattern multiplication.

Answer:

Pattern multiplication states that the radiation pattern of an array equals the product of the element pattern and the array factor.

Diagram:

graph LR
    A[Array Pattern] --> B["Element Pattern × Array Factor"]
    B --> C[Total Field Pattern]
    C --> D[Directivity Enhancement]
  • Element pattern: Radiation pattern of single element
  • Array factor: Pattern due to arrangement of elements
  • Result: Sharper beams, higher directivity

Mnemonic: “PEAM: Pattern Equals Array times Element Method”

Question 2(b) [4 marks]
#

Draw & Explain Loop antenna.

Answer:

A loop antenna is a closed-circuit antenna consisting of one or more complete turns of wire.

Diagram:

feed
  • Small loop: Circumference < λ/10, figure-8 pattern
  • Large loop: Circumference ≈ λ, maximum radiation perpendicular to plane
  • Applications: Direction finding, AM radio reception
  • Radiation resistance: Proportional to (circumference/λ)⁴ for small loops

Mnemonic: “LOOP: Low Output, Orientation Precise”

Question 2(c) [7 marks]
#

Design a Yagi-uda antenna and explain it.

Answer:

Yagi-Uda is a directional antenna with driven element, reflector, and directors.

Table: Yagi-Uda Antenna Design Guidelines

ElementLengthSpacing from Driven Element
Reflector0.5λ × 1.050.15λ - 0.25λ
Driven Element0.5λReference point
Director 10.5λ × 0.950.1λ - 0.15λ
Director 20.5λ × 0.920.2λ - 0.3λ
Additional DirectorsDecreasing0.3λ - 0.4λ

Diagram:

Direc<<t--o--r0-.-21-5-λ----->-D-i<r-Be-oc0ot.mo1r5Lλe1-n-g>th<-DE-rl0ie.vm2ee5nnλt-->>RefleRcaDtdioirraetcitoinon
  • Function: Reflector reflects signal, directors guide it forward
  • Gain: Increases with number of directors (diminishing returns)
  • Impedance: 20-30 ohms (typically matched with balun)
  • Applications: TV reception, point-to-point communication

Mnemonic: “YARD: Yagi Achieves Radical Directivity”

Question 2(a) OR [3 marks]
#

Compare broad fire and end fire array antenna.

Answer:

Table: Broad Side vs End Fire Array

ParameterBroad Side ArrayEnd Fire Array
Direction of Maximum RadiationPerpendicular to array axisAlong array axis
Phase Difference180° ± βd
Beam WidthNarrowerWider
DirectivityHigherLower
ApplicationsBroadcastingPoint-to-point links

Diagram:

graph LR
    A[Array Antennas] --> B[Broad Side]
    A --> C[End Fire]
    B --> D[Max radiation perpendicular<br>to array axis]
    C --> E[Max radiation along<br>array axis]

Mnemonic: “BEPS: Broadside Emits Perpendicularly, Sideways”

Question 2(b) OR [4 marks]
#

Draw & Explain Folded dipole antenna.

Answer:

A folded dipole consists of a half-wavelength dipole with its ends folded back and connected, forming a narrow loop.

Diagram:

feedλ/2
  • Impedance: 4 times higher than standard dipole (≈300Ω)
  • Bandwidth: Wider than simple dipole
  • Applications: TV antennas, FM receiving antennas
  • Advantage: Less susceptible to noise

Mnemonic: “FIBER: Folded Impedance Booster Enhances Reception”

Question 2(c) OR [7 marks]
#

Give names of Non-resonant antennas and explain any one in detail with its radiation pattern.

Answer:

Non-resonant antennas include Rhombic, V antenna, Terminated folded dipole, Beverage, and Long-wire antennas.

Rhombic Antenna in Detail:

Diagram:

FeederTeRremsiinsattoirng

Table: Rhombic Antenna Characteristics

ParameterDescription
StructureFour long wires arranged in rhombus shape
TerminationResistive load at far end (non-resonant)
DirectivityHigh (8-15 dB)
Frequency RangeWide bandwidth (multi-octave)
Radiation PatternUnidirectional, cone-shaped
ApplicationsHF point-to-point communications
  • Advantages: High gain, broad bandwidth, simple construction
  • Disadvantages: Large physical size, power loss in terminating resistor
  • Pattern: Main lobe along major axis of rhombus

Mnemonic: “RHOMBIC: Reliable High-Output Multi-Band Impressive Communications”

Question 3(a) [3 marks]
#

Compare radiation pattern of different resonant wire antennas.

Answer:

Table: Radiation Patterns of Resonant Wire Antennas

Antenna TypePattern ShapeDirectivityPolarization
Half-Wave DipoleFigure-8 (donut)2.15 dBiLinear
Full-Wave DipoleFour-lobed3.8 dBiLinear
3λ/2 DipoleSix-lobed4.2 dBiLinear
2λ DipoleEight-lobed4.5 dBiLinear

Diagram:

graph TD
    A[Resonant Wire Antennas] --> B[Half-Wave Dipole<br>Figure-8 Pattern]
    A --> C[Full-Wave Dipole<br>Four-lobed Pattern]
    A --> D[Multi-wavelength Dipole<br>Multi-lobed Pattern]

Mnemonic: “MOLD: More wavelengths create Lots of Directivity lobes”

Question 3(b) [4 marks]
#

Draw V and Inverted V antenna with radiation Pattern.

Answer:

Diagram: V-Antenna

FPReoaeiddnitationPaFPteoteiednrtn:Bidirectionalalongaxis

Diagram: Inverted V-Antenna

RadiaGtrioounFPneodPeiVadnttterGnr:ouOnmdnidirectionalwithslightelevation
  • V-Antenna: Two wires forming V-shape, bidirectional pattern
  • Inverted V: Half-wave dipole with arms drooping down, omnidirectional
  • Applications: Amateur radio, FM reception
  • Advantages: Simple, flexible installation options

Mnemonic: “VIPS: V-shapes Improve Pattern Selectivity”

Question 3(c) [7 marks]
#

Explain Morse Code and Practice Oscillator.

Answer:

Morse code is a method of transmitting text using standardized sequences of dots and dashes.

Table: Basic Morse Code Elements

ElementTimingSound
Dot (.)1 unitShort beep
Dash (-)3 unitsLong beep
Space between elements1 unitShort silence
Space between letters3 unitsMedium silence
Space between words7 unitsLong silence

Diagram: Simple Morse Code Practice Oscillator

C1Key+9R8555V1GroRu2ndSpCe2aker
  • Components: 555 timer, resistors, capacitors, key, speaker
  • Operation: Key closing completes circuit, creating oscillation
  • Frequency: Typically 600-800 Hz (adjustable with R2)
  • Applications: Ham radio training, emergency communications

Mnemonic: “TEMPO: Timing Elements Make Perfect Oscillation”

Question 3(a) OR [3 marks]
#

Draw and Explain Microstrip Patch antenna.

Answer:

A microstrip patch antenna consists of a metal patch on a grounded substrate.

Diagram:

FpeoeidntRadTi-h-a-i-tc-iPk-GoanrnteSocsuuhsbnsd(tmrpealttaaenle)
  • Structure: Metal patch on dielectric substrate with ground plane
  • Advantages: Low profile, lightweight, easy fabrication, conformable
  • Disadvantages: Narrow bandwidth, low efficiency, low power handling
  • Applications: Mobile devices, RFID, satellite communications

Mnemonic: “MAPS: Microstrip Antenna Patches are Simple”

Question 3(b) OR [4 marks]
#

Draw and Explain Horn antenna.

Answer:

A horn antenna is a waveguide with flared open end that directs radio waves in a beam.

Diagram:

FpeoeidntWaveguideHorn
  • Types: E-plane, H-plane, Pyramidal, Conical
  • Frequency range: Microwave (1-20 GHz)
  • Advantages: High gain, wide bandwidth, low VSWR
  • Applications: Satellite communications, radar, radio astronomy

Mnemonic: “HEWB: Horns Enhance Waveguide Beamwidth”

Question 3(c) OR [7 marks]
#

List different feed system for Parabolic reflector antenna and explain any one.

Answer:

Table: Parabolic Reflector Feed Systems

Feed SystemPositionCharacteristics
Front FeedAt focus, in front of dishSimple, some blockage
CassegrainSecondary reflector with feed at center of dishReduced noise, compact
GregorianSecondary concave reflectorBetter gain, larger size
Offset FeedFeed offset from main axisNo blockage, asymmetric
Waveguide FeedDirect waveguide at focusSimple, limited flexibility

Front Feed System (Detailed):

Diagram:

graph LR
    A[Parabolic Reflector] --- B[Focal Point]
    B --- C[Feed Horn]
    C --- D[Waveguide/Coax]
    D --- E[Receiver/Transmitter]
  • Operation: Feed placed at focal point, illuminates reflector
  • Advantages: Simple design, easy alignment, maximum efficiency
  • Disadvantages: Feed and support structure block part of aperture
  • Applications: Satellite dishes, radio telescopes, radar

Mnemonic: “FACTS: Focused Aperture Captures Transmitted Signals”

Question 4(a) [3 marks]
#

Explain working principle of HAM radio.

Answer:

HAM radio (Amateur Radio) operates on designated frequency bands for non-commercial communications.

Diagram:

graph LR
    A[Transmitter] --> B[Antenna]
    B --> C[Propagation Medium]
    C --> D[Receiver Antenna]
    D --> E[Receiver]
  • Operation: Transmitter generates RF signal, antenna radiates signal
  • Frequency bands: HF (3-30 MHz), VHF (30-300 MHz), UHF (300-3000 MHz)
  • Modes: AM, FM, SSB, CW (Morse), digital modes
  • License: Required for legal operation (levels based on skills)

Mnemonic: “TEAM: Transmission Enables Amateur Messages”

Question 4(b) [4 marks]
#

Explain Duct Propagation.

Answer:

Duct propagation occurs when radio waves are trapped within atmospheric layers with varying refractive indices.

Diagram:

Trans=m=i==t==t==e==r====T==rw==aa==pv==pe==es==d=========-G-r-Ro-DeuucnUcedpti/pvSeleerarayaetrmo(stpehmepreeratureinversion)
  • Formation: Temperature inversion creates refractive index gradient
  • Frequency range: VHF, UHF, microwave frequencies
  • Advantages: Extended communication range (beyond horizon)
  • Occurrence: Common over oceans, varies with weather conditions

Mnemonic: “TRIP: Trapped Rays In atmospheric Paths”

Question 4(c) [7 marks]
#

Explain Tropospheric Scattered Propagation in detail.

Answer:

Tropospheric scatter uses the scattering properties of the troposphere to enable beyond-horizon communications.

Table: Tropospheric Scatter Characteristics

ParameterDescription
MechanismForward scattering of radio waves by tropospheric irregularities
Frequency Range300 MHz to 10 GHz (UHF/SHF)
Range100-800 km
Path LossHigh (requires high-power transmitters)
ReliabilityAffected by weather conditions

Diagram:

graph LR
    A[Transmitter] --> B[High Gain Antenna]
    B --> C[Scattering Volume<br>in Troposphere]
    C --> D[Receiving Antenna]
    D --> E[Receiver]
    F[Factors] --> G[Weather]
    F --> H[Frequency]
    F --> I[Antenna Size]
  • Mechanism: Signal scattered by refractive index irregularities
  • Equipment: High-power transmitters, large antennas, sensitive receivers
  • Applications: Military, backup communications, remote areas
  • Advantages: Beyond line-of-sight, relatively stable

Mnemonic: “STARS: Scatter Tropospheric Allows Range beyond Sight”

Question 4(a) OR [3 marks]
#

Draw turnstile and super turnstile antenna.

Answer:

Diagram: Turnstile Antenna

Twodipolesat90°fedwith90°phasedifference

Diagram: Super Turnstile (Batwing) Antenna

Multipleelementsforbroadbandoperation
  • Turnstile: Two dipoles at right angles, circular polarization
  • Super turnstile: Multiple elements for increased bandwidth
  • Applications: TV broadcasting, FM broadcasting, satellite communications
  • Advantage: Omnidirectional horizontal pattern

Mnemonic: “TACO: Turnstile Antennas Create Omnidirectional patterns”

Question 4(b) OR [4 marks]
#

Give full form of MUF, LUF and OUF.

Answer:

Table: Ionospheric Propagation Parameters

AbbreviationFull FormDescription
MUFMaximum Usable FrequencyHighest frequency that can be reflected by ionosphere
LUFLowest Usable FrequencyLowest frequency providing adequate signal-to-noise ratio
OUFOptimum Usable FrequencyBest working frequency (85% of MUF)

Diagram:

graph TD
    A[Ionospheric Frequencies] --> B[MUF]
    A --> C[LUF]
    A --> D[OUF]
    B --> E[Highest frequency<br>that returns to Earth]
    C --> F[Lowest frequency<br>with adequate SNR]
    D --> G[Best working frequency<br>85% of MUF]

Mnemonic: “MLO: Maximum and Lowest determine Optimum”

Question 4(c) OR [7 marks]
#

Explain virtual height, critical frequency and skip distance in detail.

Answer:

Table: Key Ionospheric Propagation Parameters

ParameterDefinitionSignificance
Virtual HeightApparent reflection height assuming straight-line propagationDetermines maximum communication range
Critical FrequencyMaximum frequency reflected at vertical incidenceIndicates ionization density
Skip DistanceMinimum distance where ionospheric signals can be receivedCreates “skip zones” with no reception

Diagram:

TEVraiarrnttshumailttheeright:SAkpipparDeinsttarnecfReleeCfccrretieiitqvoiuenceranhlceyEifagrarhetttqh:90M°axiinmcuimdence
  • Virtual height: Typically 300-400 km for F layer, varies with time/season
  • Critical frequency: Usually 5-10 MHz for F2 layer, depends on solar activity
  • Skip distance: Given by D = 2h tan θ, where h is virtual height and θ is incidence angle

Mnemonic: “VCS: Virtual height Controls Skip distance”

Question 5(a) [3 marks]
#

With neat figure show different Ionosphere layers.

Answer:

Diagram: Ionospheric Layers

H4321e0000i0000ght(km)ElectrFFEDo21nLLLLaaDaayyeyyeeneerrsrrit(ydaytime)
  • D Layer: 60-90 km, absorbs HF waves, disappears at night
  • E Layer: 90-150 km, reflects MF/lower HF, weakens at night
  • F1 Layer: 150-220 km, present in daytime only
  • F2 Layer: 220-400 km, main reflection layer, present day/night

Mnemonic: “DEAF: Down to up - D, E, And F layers”

Question 5(b) [4 marks]
#

Give names of different types of satellite communication systems and compare it.

Answer:

Table: Satellite Communication Systems

System TypeFrequency BandsApplicationsCharacteristics
TelecommunicationC, Ku, Ka bandsPhone, data, internetGlobal coverage, high capacity
BroadcastingKu, C bandsTV, radio transmissionHigh power, wide coverage
Data CommunicationL, S, Ka bandsIoT, VSAT, M2MLow to medium data rates
MilitaryX, EHF bandsSecure communicationsEncrypted, jam-resistant
NavigationL bandGPS, GLONASS, GalileoPrecise timing, positioning

Diagram:

pie
    title "Satellite Communication Systems"
    "Telecommunication" : 30
    "Broadcasting" : 25
    "Data Communication" : 20
    "Military" : 15
    "Navigation" : 10

Mnemonic: “TBDMN: Telecom, Broadcasting, Data, Military, Navigation”

Question 5(c) [7 marks]
#

Draw and explain DTH receiver system.

Answer:

DTH (Direct-to-Home) system delivers television programming directly to viewers via satellite.

Diagram:

SDeLi(tNs0-Bh.TVtV/V6VoLA-pNn1Bt.BFe2onmxn)aSatellitesignals

Table: DTH System Components

ComponentFunctionSpecifications
Dish AntennaCollects satellite signals45-120 cm diameter
LNB (Low Noise Block)Converts high frequency to lower IFNoise figure: 0.3-1.0 dB
Coaxial CableCarries IF signal to receiverRG-6 type, 75 ohm
Set-top BoxDemodulates/decodes signalsMPEG-2/4 decoder
TV SetDisplays programmingHDMI/Component input
  • Frequency: Ku-band (10.7-12.75 GHz) or C-band (3.7-4.2 GHz)
  • Modulation: QPSK or 8PSK digital modulation
  • Signal processing: Digital compression (MPEG-2/4)
  • Features: EPG (Electronic Program Guide), PVR (recording)

Mnemonic: “DOCS: Dish Obtains, Converts and Shows signals”

Question 5(a) OR [3 marks]
#

What is the Need of Smart Antennas? Write its applications.

Answer:

Smart antennas use adaptive signal processing to dynamically optimize radiation patterns.

Needs:

  • Increased capacity in congested networks
  • Improved signal quality and coverage
  • Reduced interference and multipath fading
  • Enhanced spectral efficiency

Diagram:

graph TD
    A[Smart Antenna] --> B[Adaptive<br>Beamforming]
    A --> C[Spatial<br>Multiplexing]
    A --> D[Interference<br>Suppression]

Applications:

  • Mobile communication networks (4G/5G)
  • MIMO systems for high data rates
  • Radar systems with enhanced target detection
  • Wireless LANs with improved coverage

Mnemonic: “SAFE: Smart Antennas For Efficiency”

Question 5(b) OR [4 marks]
#

Explain Kepler’s 3rd law.

Answer:

Kepler’s 3rd law relates the orbital period of a satellite to its semi-major axis.

Formula: T² = (4π²/GM) × a³

Where:

  • T = orbital period
  • a = semi-major axis
  • G = gravitational constant
  • M = mass of central body

Diagram:

graph LR
    A[Kepler's 3rd Law] --> B["T² ∝ a³"]
    B --> C[T = orbital period]
    B --> D[a = semi-major axis]
    E[Applications] --> F[Satellite orbit determination]
    E --> G[Spacecraft mission planning]
  • Meaning: Larger orbits have longer periods
  • Application: Determines satellite orbit characteristics
  • Geostationary orbit: Period = 24 hours, altitude ≈ 35,786 km

Mnemonic: “CAP: Cube of Axis equals Period squared”

Question 5(c) OR [7 marks]
#

Identify the different types of Antennas for Terrestrial Mobile communication and explain in detail.

Answer:

Table: Terrestrial Mobile Communication Antennas

Antenna TypeTypical GainPolarizationApplications
Base Station Antennas10-18 dBiVertical/DualCell towers, fixed infrastructure
Mobile Station Antennas0-3 dBiVerticalSmartphones, vehicles, portable devices
Repeater Antennas5-10 dBiCircular/DualSignal boosting, coverage extension
Diversity AntennasVariableMultipleMultipath mitigation, MIMO systems

Base Station Antennas (Detailed):

Diagram:

SectorcovererAalardegrimeaaeytnitonsfg
  • Types: Panel arrays, collinear arrays, sector antennas
  • Characteristics:
    • High gain (10-18 dBi)
    • Directional radiation pattern (60°-120° sectors)
    • Downtilt capability (electrical/mechanical)
    • Multiple-band operation
  • Advanced features:
    • Multiple-input multiple-output (MIMO)
    • Remote electrical tilt (RET)
    • Integrated diplexers/triplexers

Mobile Station Antennas:

  • Compact size (internal/external)
  • Omnidirectional pattern
  • Multiple band support (700-2600 MHz)
  • Implementations: PIFA, helical, monopole designs

Mnemonic: “BEST: Base-stations Employ Sector Technology”

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