rectangular resonators

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Presentation transcript:

rectangular resonators

Rectangular Resonators - simple idea - TE mode d x y z a b From waveguides

Rectangular Resonators - simple idea - TE mode a b d x y z

Rectangular Resonators - simple idea - TE mode a b d x y z m = 1; n = 0; l = 1

Rectangular Resonators - simple idea - TE mode a b d x y z

a b d x y z Ey a b d x y z

a b d x y z resonator

a b d x y z Resonator - energy stored

a b d x y z Resonator - power lost

Q of a basketball or an electronic circuit h h-h

a b d x y z

Q ==> volume / surface area b d x y z Q ==> volume / surface area

cylindrical resonators

Cylindrical resonator z a 

TM or TE modes mnp a j m - variation in j n - which zero of Bessel function p - variation in z

TM mode 010

a j TM010 mode

J0(x) J1(x) 10 20 1 2.405

a j TM010 mode

microwave diagnostics j TM010 mode microwave diagnostics

Resonator - energy stored

Resonator - power lost d a

Q ==> volume / surface area

TM010

TM011

dielectric rod

b Small gap resonator a . d g