Antenna Theory and Radiation
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Questions and Answers

What is the definition of radiation resistance?

  • The resistance that converts electrical energy into heat in the antenna.
  • The impedance at which the antenna is driven by the transmission line.
  • The resistance of the antenna conductor itself, causing power loss as heat.
  • The fictitious resistance that would consume the same power as the antenna radiates. (correct)
  • What factors affect the radiation resistance of an antenna?

  • The type of transmission line used to connect to the antenna.
  • The distance between the antenna and the receiving antenna.
  • The frequency of the radio waves being transmitted.
  • The configuration of the antenna, its location relative to ground, and the conductor's length and diameter. (correct)
  • What is the correct formula for mutual impedance between two antennas?

  • $V_{12}/I_2$
  • $V_{21}/I_1$ (correct)
  • $I_1/V_{21}$
  • $I_2/V_{12}$
  • What is the relationship between self impedance and the maximum power transfer between a transmitter and an antenna?

    <p>Self impedance determines the maximum power that can be delivered from the transmitter to the antenna. (A)</p> Signup and view all the answers

    Which of the following is NOT a component of the self impedance of an antenna?

    <p>Mutual resistance (D)</p> Signup and view all the answers

    What is the concept of reciprocity theorem as it applies to mutual impedance?

    <p>It states that the mutual impedance between two antennas is the same regardless of which antenna is the source and which is the receiver. (C)</p> Signup and view all the answers

    How does the power density of an antenna relate to its directive gain?

    <p>Directive gain is the ratio of the power density in the desired direction to the average power density over all directions. (C)</p> Signup and view all the answers

    For a lossless antenna, what is the relationship between its self resistance and self reactance?

    <p>Self resistance and self reactance are always equal. (B)</p> Signup and view all the answers

    What is the relationship between the actual impedance of an antenna and its self and mutual impedances?

    <p>Actual impedance is the sum of self impedance and mutual impedance. (C)</p> Signup and view all the answers

    What are the two main types of radiation patterns?

    <p>Field pattern and Power pattern (B)</p> Signup and view all the answers

    What is a normalized field pattern?

    <p>The radiation pattern expressed in terms of field strength. (A)</p> Signup and view all the answers

    What is a radiation lobe?

    <p>A region of high radiation intensity surrounded by regions of low radiation intensity. (C)</p> Signup and view all the answers

    Which of the following is NOT a type of radiation lobe?

    <p>Minor lobe (B)</p> Signup and view all the answers

    What is the main lobe also known as?

    <p>Main beam (A)</p> Signup and view all the answers

    Which lobe occupies the hemisphere in the opposite direction of maximum radiation?

    <p>Back lobe (C)</p> Signup and view all the answers

    What is the relationship between beam width and directivity?

    <p>Beam width and directivity are inversely proportional, meaning a larger beam width results in lower directivity. (B)</p> Signup and view all the answers

    What is the definition of the Half-Power Beam Width (HPBW)?

    <p>The angle between the two points on the radiation pattern where the power is 1/2 the maximum power. (A)</p> Signup and view all the answers

    Given a beam width of 60 degrees, what is the approximate Beam Width between the First Null Lobes (BWFN)?

    <p>30 degrees (C)</p> Signup and view all the answers

    What is the approximate value of one radian in degrees?

    <p>57.3 degrees (D)</p> Signup and view all the answers

    What are the factors influencing the beam width of an antenna?

    <p>The shape of the radiation pattern, wavelength, and dimensions of the antenna all affect the beam width. (A)</p> Signup and view all the answers

    What is the main characteristic that determines the bandwidth of an antenna at low frequencies?

    <p>The antenna's impedance, which is crucial for efficient signal transmission and reception. (D)</p> Signup and view all the answers

    What is the term used to describe the difference between the upper and lower cut-off frequencies for an acceptable performance range of an antenna?

    <p>Bandwidth (C)</p> Signup and view all the answers

    Which of the following is another term for the Half-Power Beam Width (HPBW)?

    <p>3 dB Bandwidth (B)</p> Signup and view all the answers

    What is the purpose of adaptive antenna arrays?

    <p>To focus the beam on a specific direction and minimize interference. (A)</p> Signup and view all the answers

    What is the relationship between the transmitting and receiving antennas' polarization?

    <p>The polarization must be the same for successful transmission. (B)</p> Signup and view all the answers

    What is the function of the ADC (Analog to Digital Converter) in a smart antenna system?

    <p>Converting the analog signal received to a digital signal for processing. (D)</p> Signup and view all the answers

    What is the definition of FNBW (First Null Beamwidth)?

    <p>The distance between the first null in the main lobe and the first null in the side lobes. (C)</p> Signup and view all the answers

    What is a "retarded potential" in the context of antenna theory?

    <p>The potential generated by an antenna that is delayed due to the finite speed of light. (C)</p> Signup and view all the answers

    What type of polarization occurs when the two linearly polarized waves have equal amplitudes with a 90-degree phase difference?

    <p>Circular polarization. (B)</p> Signup and view all the answers

    Which of the following correctly describes the vector potential in the context of retarded potentials?

    <p>The vector potential at a distant point is calculated by superimposing potentials due to various current elements along a conductor. (C)</p> Signup and view all the answers

    What is the purpose of the 'W's' component in a smart antenna system?

    <p>Providing amplification and phase adjustments to the signal. (B)</p> Signup and view all the answers

    What is the relationship between the instantaneous Poynting vector and the electric and magnetic field intensities?

    <p>The instantaneous Poynting vector is the cross product of the instantaneous electric and magnetic field intensities. (D)</p> Signup and view all the answers

    What is the formula for the average power density associated with time harmonic variations of electromagnetic fields?

    <p>$S_{av} = \frac{1}{2}Re(\vec{E} \times \vec{H}^*)$ (D)</p> Signup and view all the answers

    What is the definition of directivity (D) of an antenna?

    <p>The ratio of the maximum radiation intensity of the antenna to the average radiation intensity from the antenna itself. (B)</p> Signup and view all the answers

    What is the relationship between directivity (D) and gain (G) of an antenna?

    <p>G = K * D, where K is the efficiency factor. (A)</p> Signup and view all the answers

    What is the efficiency factor 'K' in the relationship between gain and directivity?

    <p>The ratio of the power radiated by the antenna to the power input to the antenna. (D)</p> Signup and view all the answers

    What is the definition of gain of an antenna?

    <p>The ratio of the maximum radiation intensity of the antenna to the maximum radiation intensity from a reference antenna produced in the same direction with the same input power. (A)</p> Signup and view all the answers

    What distinguishes an antenna from a general conductor?

    <p>An antenna is designed specifically to radiate or receive electromagnetic waves, while a general conductor may not be. (B)</p> Signup and view all the answers

    What could be a plausible reason for the efficiency factor 'K' not being 1 in real-world antennae?

    <p>The antenna is made of imperfect conductors, leading to energy losses like heat. (A)</p> Signup and view all the answers

    What is the physical length of a half-wave dipole antenna in terms of the wavelength?

    <p>λ / 2 (A)</p> Signup and view all the answers

    What is the current distribution along a half-wave dipole antenna?

    <p>Maximum at the center and zero at the ends (A)</p> Signup and view all the answers

    What is the expression for the retarded vector potential due to a sinusoidal current element?

    <p>A = (μ₀ / 4π) * ∫[I(t - R/c)] * (dl / R) (D)</p> Signup and view all the answers

    What is the expression for the electric field in the radiation field of a half-wave dipole?

    <p>E = (jωμ₀ / 4π) * ∫[I(t - R/c)] * (dl × R) / R (B)</p> Signup and view all the answers

    Which of the following is NOT a factor in the expression for the total radiated power by a half-wave dipole?

    <p>Speed of light (c) (B)</p> Signup and view all the answers

    Why is the concept of retardation important when analyzing antenna radiation?

    <p>It accounts for the time delay due to the finite speed of light. (A)</p> Signup and view all the answers

    What is the relationship between the current distribution and the radiation pattern of a half-wave dipole?

    <p>The radiation pattern is directly proportional to the current distribution. (B)</p> Signup and view all the answers

    What is the key difference between the retarded scalar potential and the retarded vector potential?

    <p>The retarded scalar potential is related to the charge density, while the retarded vector potential is related to the current density. (B)</p> Signup and view all the answers

    Flashcards

    Actual Impedance

    The total impedance of an antenna, comprising self and mutual impedance.

    Radiation Pattern

    Graphical representation of an antenna's radiation properties in space.

    Field Pattern

    Radiation expressed in terms of field strength from an antenna.

    Power Pattern

    Radiation expressed in power per unit area; ratio to maximum values.

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    Lobes

    Regions of different radiation intensity in a radiation pattern.

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    Major Lobes

    Lobes in the direction of maximum radiation intensity, also called main lobes.

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    Minor Lobes

    All lobes except the major lobes in the radiation pattern.

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    Side Lobe & Back Lobe

    Side lobe is near main lobe; back lobe opposes direction of main lobe.

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    Antenna

    An antenna is a conductor system that radiates electromagnetic energy into space and matches transmitters or receivers to free space.

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    Power Density

    Power density describes the power associated with electromagnetic waves, represented by the Poynting vector.

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    Instantaneous Poynting Vector

    The instantaneous Poynting vector is the product of instantaneous electric and magnetic field intensities, indicating power flow.

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    Average Power Density

    Average power density is obtained by integrating the instantaneous Poynting vector over one period and dividing by that period.

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    Directivity

    Directivity (D) is the ratio of maximum radiation intensity to average radiation intensity of an antenna.

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    Gain

    Gain is the ratio of maximum radiation intensity in a specific direction to that from a reference antenna under the same input power.

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    Efficiency Factor (K)

    The efficiency factor (K) relates directivity to gain, generally taken as 1 for ideal antennas.

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    Radiation Density

    Radiation density refers to the effective power density of electromagnetic fields, primarily real and associated with radiation.

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    Directive Gain

    A measure of how well an antenna focuses energy in a particular direction compared to an isotropic antenna.

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    Radiation Resistance (RR)

    The fictitious resistance that, when placed in series with an antenna, equals the power radiated by the antenna.

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    Input Impedance

    The impedance at a reference point on an antenna where RF power is connected, consisting of both reactive and resistive components.

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    Self Impedance

    The input impedance of an antenna when all other antennas are removed, consisting of self resistance and self reactance.

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    Ohmic Loss

    Power loss due to resistance in the antenna and its components, often manifesting as heat.

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    Radiation Loss

    Power loss that occurs when energy radiates away from the antenna into space.

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    Reciprocity Theorem

    A principle stating that mutual impedances between two antennas are equal regardless of which antenna is used as the source.

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    Beam Width

    The angle between points where power is half of its maximum.

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    Half Power Beam Width (HPBW)

    The angle width defined by half maximum radiated power points.

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    Factors Affecting Beam Width

    Includes shape of radiation pattern, wavelength, and antenna size.

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    Bandwidth

    The range of frequencies an antenna effectively operates within.

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    Radian

    Angle subtended by an arc equal to the radius in a circle.

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    Steradian

    Solid angle subtended by a spherical surface area equal to r².

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    Broadband Antenna

    An antenna that operates across a wide frequency range.

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    Retardation (delay)

    The effective current producing a field from an earlier time due to distance.

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    Half Wave Dipole Antenna

    An antenna with a length of half a wavelength, used in arrays and symmetrical.

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    Current Distribution

    The distribution of current in an antenna; maximum at the center and zero at the ends.

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    Retarded Vector Potential

    A potential due to current elements taking retardation into account.

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    Radiation Pattern of Dipole

    The shape of the electric field radiated by the dipole antenna.

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    Radiated Power of Dipole

    The total power emitted by a half wave dipole antenna while radiating.

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    Directivity of Antenna

    Ratio of radiation intensity in a direction to its average intensity.

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    Instantaneous Current (I)

    The current at a specific moment in time, can be represented as I = Im sin(t).

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    FNBW

    Beamwidth between the first null in the major lobe and first null in side lobes.

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    Adaptive Arrays

    Antenna arrays that can steer beams for optimal signal reception and interference nulling.

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    Direction of Arrival (DOA)

    Estimation of the direction from which a signal arrives at the antenna.

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    Polarization

    Direction in which the electric vector of a radio wave is aligned.

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    Linearly Polarized Wave

    An EM wave where the electric vector maintains a consistent orientation.

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    Circularly Polarized Wave

    Occurs when two linearly polarized waves have equal amplitudes with a 90-degree phase difference.

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    Cross Polarization

    Undesired radiation from an antenna, perpendicular to the desired radiation.

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    Retarded Potential

    Fields obtained after considering the time delay from the current carrying conductor.

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    Study Notes

    Antenna Fundamentals

    • An antenna is a conductor that radiates or receives electromagnetic energy.
    • It couples a transmitter/receiver to free space.
    • Antenna design is tailored for radiation or reception of electromagnetic waves.

    Power Density

    • Electromagnetic (EM) waves are transmitted between points.
    • Power and energy are associated with EM fields.
    • Instantaneous Poynting vector describes the EM wave power.

    Directivity

    • Directivity (D) is the ratio of maximum radiation intensity to average radiation intensity.
    • It's a comparison of the antenna's maximum radiation vs. an isotropic reference antenna.

    Gain

    • Antenna gain (G) is the ratio of maximum radiation intensity in a given direction compared to a reference antenna with the same input power.
    • Gain, like directivity, is a comparison to an isotropic radiator. Gain also accounts for the antenna’s efficiency.

    Radiation Resistance

    • Radiation resistance (Rrad) is a fictitious resistance that represents the power radiated by an antenna.
    • When substituted in series with the antenna, it absorbs the same power radiated.

    Input Impedance

    • Antenna impedance at a transmission line connection point.
    • It includes a reactive component (as well as a resistive component).

    Self Impedance

    • Self-impedance (Z11) of an antenna is its input impedance when other antennas are disconnected.
    • It is always positive.

    Mutual Impedance

    • Mutual impedance (Z12) occurs when antennas are close together.
    • This impedance appears only when two or more antennas are present and interacts with them.

    Radiation Pattern

    • Radiation pattern mathematically represents an antenna's radiation properties across a given space.
    • It's a graphical or mathematical representation for understanding how the radiated power changes with its spatial position.
    • Two forms are common:
    • Field pattern based on field strength.
    • Power pattern based on power per unit area.
    • Pattern is defined by "lobes": central, dominant directional radiation. Surrounding weaker radiation is considered 'side-lobes'. There may be a back-lobe.

    Bandwidth

    • Bandwidth (BW) is the range of frequencies at which the antenna maintains essential characteristics like gain, efficiency, and polarization.
    • BW is dependent on antenna impedance and pattern.
    • At lower frequencies and with certain patterns it is also influenced by impedance.

    Definitions

    • Radians and Steradians are standard units of plane and solid angle measures.

    Half-Wave Dipole Antenna

    • Characteristic length: one half of a wavelength (λ/2).
    • Current distribution: maximum is at the center, zero at ends.

    Monopole Antenna

    • Half of a dipole but is connected to a ground plane.
    • Has a radiation pattern similar to half-wave dipole, but is confined to a hemisphere.

    Array Antennas

    • Array antenna consists of multiple antennas operating together for enhanced directivity.
    • Broadside arrays have maximum radiation in a plane perpendicular to the antenna's elements.
    • Endfire arrays focus radiation along the line of the antennas.
    • These arrays can be optimized (using adaptive methods) for desired gain and reduced interference.

    Polarization

    • Polarization identifies the direction of electric field vector (E) of a wave along its path.
    • It may take different forms (linear, circular)
    • Circular Polarization- the wave's E-vector rotates in a circular motion as the wave passes a certain point.
    • Linear Polarization- E-vector oscillates in a straight line.

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    Description

    Test your understanding of key concepts in antenna theory, including radiation resistance, mutual impedance, and radiation patterns. This quiz covers essential relationships and principles that govern antenna performance and design. Perfect for anyone studying telecommunications or electrical engineering.

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