4.4 - Department of Electrical and Computer Engineering...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Department of Electrical and Computer Engineering ECSE 352 Electromagnetic Waves and Optics 4.4 Wave equations in parallel plate waveguides References: Section 14.4 @AGK 4.4-1 Learning outcomes After taking this class you should be able to: • Explain how to find the field solutions for a general waveguide configuration elate the cut ff frequency to the field solutions Relate the cut-off frequency to the field solutions • Sketch the E and H fields for TE and TM modes in planar waveguides • Calculate the impedance for TE and TM modes • Explain what is meant by a mode ECSE 352 4.4-2 Parallel plate waveguides perfectly reflecting surface x d λ k k x k z κ m θ m RE roject - ctor onto z and x axes z 222 kk + β m =k z VIEW Project k vector onto z and x axes •D e f i n e zx kkk =+ cos mx m κθ == 22 mm k =− lectric field: sin mz m βθ Phase constant n m j z E e π ⎛⎞ ECSE 352 4.4-3 Electric field: 0 sin y EE d = ⎜⎟ ⎝⎠ Cut Cut-off frequency and wavelength off frequency and wavelength • Cut-off frequency: cm mc nd ω = 2 1 cm m n c – Phase constant is only real for ω>ω c Cut-off wavelength: hase constant is only real for 2 nd m λ = = cm m n 1 2 Phase constant is only real for λ<λ c d z TE mode: ECSE 352 4.4-4 m=1 m=2 m=3 2 m d = m d = 0 sin m jz y e d = 3 / 2 d m =
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
General field solution • We derived the equation for the E-field for a TE mode in a parallel plate waveguide by considering wave interference
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 5

4.4 - Department of Electrical and Computer Engineering...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online