High Power Microwaves, 4th Edition

Appendix: High Power Microwave Formulary*

A.1 Electromagnetism

A.1.1 Definitions of Q

*The NRL Plasma Formulary is available in PDF: http://www.nrl.navy.mil/ppd/content/nrl-plasma-formulary. There is also a Pulsed Power Formulary prepared by North Star: https://www.researchgate.net/publication/279193094_2013 Version Pulsed Power Formulary. Much microwave information appears in Microwave Engineers’ Handbook, Volumes 1 and 2, Artech House, Norwood, MA.

1. $Q=2\pi \frac{\text{average stored energy}}{\text{energy lost per cycle}}={\omega }_0\frac{\text{average stored energy}}{\text{power loss rate}}$

   ω₀ is the center frequency of a cavity of resonant linewidth Δω

2. $Q=\frac{{\omega }_0}{2\Delta \omega }$
3. $Q_p=\frac{\text{cavity}\text{volume}}{(\text{surface}\text{area})\times \delta }\times \left(geometri\right)$