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CAD Formula for Space-Wave Q factor of Rectangular Patch

Derivation of a formula for the space-wave Q factor of a rectangular patch antenna using radiated power and stored magnetic energy calculations. The simplified formula eliminates constants, leaving only patch dimensions.

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CAD Formula for Space-Wave Q factor of Rectangular Patch

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  1. ECE 6345 Spring 2011 Prof. David R. Jackson ECE Dept. Notes 14

  2. Overview In this set of notes we derive a CAD formula for the space-wave Q factor (Qsp) of the rectangular patch, using the previously-derived formula for the space-wave radiated power.

  3. CAD Formula for Qsp Recall We have, from Notes 12, (The origin is at the center of the patch.) Where it is assumed that

  4. CAD Formula for Qsp (cont.) To calculate the stored magnetic energy, use The stored magnetic energy is then

  5. CAD Formula for Qsp (cont.) Hence Simplify, using or so

  6. CAD Formula for Qsp (cont.) and This eliminates k0 and 0 and leaves only the patch dimensions. The result is or

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