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EMLAB 1 Waveguides. EMLAB 2 Waves in cylinder In a waveguide whose cross-section is uniform along z-axis, variation of E, H is proportional to exp(-j.

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Presentation on theme: "EMLAB 1 Waveguides. EMLAB 2 Waves in cylinder In a waveguide whose cross-section is uniform along z-axis, variation of E, H is proportional to exp(-j."— Presentation transcript:

1 EMLAB 1 Waveguides

2 EMLAB 2 Waves in cylinder In a waveguide whose cross-section is uniform along z-axis, variation of E, H is proportional to exp(-j  z). In a waveguide, transverse E and H can be obtained from E z and H z.

3 EMLAB 3 TM, TE mode TM mode : Electromagnetic wave modes with H z =0 are called TM modes (Transverse Magnetic). Those modes can be found from E z. TE mode : Electromagnetic wave modes with E z =0 are called TE modes (Transverse Electric). Those modes can be found from H z.

4 EMLAB 4 Eigen-function expansions in waveguides TM modes TE modes TEM modes

5 EMLAB 5 Rectangular waveguide (TE mode) Boundary condition

6 EMLAB 6 Field lines for some of the lower order modes of a rectangular waveguide. Reprinted from Fields and Waves in Communication Electronics, Ramo et al, © Wiley, 1965)

7 EMLAB 7

8 8 WR-90 X-band 8.2GHz~12.4GHz (2.286cm × 1.016cm) Example : WR-90 5GHz input signal Attenuation by a 3cm-long evanescent waveguide

9 EMLAB 9 Cavity resonator Minimum frequency

10 EMLAB 10 Cylindrical waveguide By separation of variables

11 EMLAB 11 Cylindrical waveguide mode

12 EMLAB 12 Cutoff frequencies of the first few TE and TM modes of a circular waveguide, relative to the cutoff frequency of the dominant TE 11 mode.


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