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# james_notes - TEM Analysis Coaxial Lines Last Time...

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TEM Analysis: Coaxial Lines

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Last Time Transmission line Two or more conductors (two-wire, coaxial, etc.) Can define a unique current and voltage and characteristic impedance along the line (use circuit equations). Waveguide Typically one enclosed conductor (rectangular, circular, etc.) Cannot define a unique voltage and current along the waveguide (must use field equations.)
Last Time 1.Transverse electromagnetic (TEM) modes: The electric magnetic fields are transverse to the direction of wave propagation with no longitudinal components [ Ez = Hz =0] TEM modes cannot exist on single conductor guiding structures. Plane waves can also be classified as TEM modes. 2. Transverse electric (TE) modes The electric field is transverse to the direction of propagation (no longitudinal electric field component) while the magnetic field has both transverse and longitudinal components [Ez = 0, Hz ≠ 0]. 3. Transverse magnetic (TM) modes The magnetic field is transverse to the direction of propagation (no longitudinal magnetic field component) while the electric field has both transverse and longitudinal components [Hz = 0, E 0]. TE and TM modes are commonly referred to as waveguide modes since they are the only modes which can exist in an enclosed guiding structure. TE and TM modes are characterized by a cutoff frequency below which they do not propagate .

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Last Time General Guided Wave Solutions We assume the following about the guiding structure: (1) the guiding structure is infinitely long, oriented along the z-axis, and uniform along its length. (2) the guiding structure is constructed from ideal materials (conductors are PEC and insulators are lossless). (3) fields are time-harmonic.
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