Week 2 Flashcards
Constructive interference
Adding two waves with a shift of 0 degrees
2 times the amplitude
Destructive interference
Adding two waves with a shift of 180 degrees
An isotropic point source generates
Spherical waves
Validity of plane wave assumption
For a plane wave, intensity and phase are constant across planar surfaces that are oriented perpendicular to the direction of propagation
At great enough distances from the source, the spherical wavefronts will appear approximately planar across an aperture of fixed dimension D
Phase variation across D of less than 1/16 cycle (22.5 deg) is small enough to treat the waves as planar
Valid in the far field region which is R > 2D^2/λ m
Antenna
Transducer that converts bound waves in a waveguide to unbound waves in free space and vice versa
Characterized by gain and beamwidth
Directional antennas
Transmit and receive EM waves over a small angular region (most radars use these)
Antenna gain
The increase in power density at a given point in space when the test antenna is used in place of an isotropic antenna
Varies with angle
If quotes as just “gain”
The maximum (on axis, bore sight) value is inferred
Antenna pattern
The variation of antenna gain with angle
Have a main lobe and sidelobes
Usually presented as gain vs angle in a plane
Beamwidth
Angular extent between the 3dB points of the main beam
Sidelobes
All directional antennas have sidelobes in their patterns that are defined by nulls
The forward direction produces a main beam because of constructive interference
Radar targets can appear in the sidelobes of the antenna - gives an erroneous direction
Jammers can radiate noise and false signals into antenna sidelobes
Sidelobes can be reduced but not eliminated
Nulls
Directions in which no energy is radiated
Due to destructive interference of transmissions from across the antenna aperture
Why do we have lobes
Interference
Because we have a physical dimension antenna, we are going to have constructive interference
Radar targets
Scatter EM waves with patterns that are similar to antenna patterns
Pattern depends on size and shape of target
Scattering of EM waves described by the RCS of the target
RCS will vary with direction
Rayleigh scatterer
If target has linear dimension d «_space;λ then it is more ‘point-like’ and scatters the wave in all directions (more isotropic)
Ex: raindrop with d = 6 mm seen by 10 cm radar
In the optical domain, Rayleigh scattering accounts for the blue color of the sky