What Is Polarization?

  • The electric field pushes charges; its arrow shows direction and strength
  • Polarization describes the arrow’s motion at one fixed point (end-on view, perpendicular to wave travel)
    • Linear: back and forth along a fixed line
    • Circular: rotates with constant length
    • Elliptical: rotates with changing length

Polarization Loss for Linear Antennas

  • A linear receiver responds to the field component along its polarization axis
  • 𝜓 = rotation about the line of sight between the incident field and the receiver axis (pointing fixed)
Misalignment 𝜓Coupled powerLoss
0°100%0 dB
45°50%About 3 dB
90°0% in the ideal caseComplete rejection

Polarization Mismatch (linear–linear)

  • 𝜂pol=cos2𝜓,[𝐿pol]=−10log10(𝜂pol)
  • Real antennas have finite isolation (no perfect rejection at 90°)

Circular Polarization and Real Antennas

Wave / receive polarizationIdeal coupled powerMismatch loss
Same circular sense100%0 dB
Opposite circular senses0%Complete rejection
Circular / linear50%About 3 dB
  • Matched circular pairs tolerate rotation about the line of sight
    • So circular polarization helps if the spacecraft rolls — but the sense (handedness) must still match at the receiver (inferred from the table) (not on slide)
  • RHCP / LHCP = right- / left-hand circular polarization
  • Real polarization is often elliptical; the axial ratio describes its shape
    • AR=major field amplitudeminor field amplitude
    • A circle has AR=1 (0 dB)
  • Use a consistent viewing convention for handedness; the actual mismatch depends on both polarizations
  • References: antenna-theory.com, Polarization; Rumpf, Antenna Parameters and Figures of Merit, Continued

Homework 3: Polarization and Margin

Homework 3, Problem 2(b, c)

  • Aligned, polarization-matched [𝑃𝑟0]=−118.00dBW; required received power −123.50dBW; all other losses included
  • Total pointing loss 1.50 dB (part a); both polarizations linear
  • [𝐿pol]=−10log10(cos2𝜓)[𝑃𝑟]=−118.00−1.50−[𝐿pol]Margin=[𝑃𝑟]−(−123.50dBW)
Axes differ by[𝐿pol] (dB)[𝑃𝑟] (dBW)Margin (dB)
45°3.01−122.51+0.99: meets threshold
60°6.02−125.52−2.02: fails threshold
  • (c) Realigning the polarization axes reduces 𝜓, which removes polarization loss and restores the link without changing peak antenna gain (not on slide)