Auxiliary Functions

UCFGeneralized Maxwells Equations (1)

Using superposition, assume

HBBEDD

EJHHME

mv

ev

jj

FFFA

AAFA

FFFA

AAFA

HBBBBHBDDDEDHHHEDEEE

with

UCF

AAA

AAevA

AA

AA

jj

HBBEDD

EJHHE

0

FFmvF

FFF

FF

FF

jj

HBBEDD

EHHME

0

.& potentials vector introduce will wefollowing, In the FA

Generalized Maxwells Equations (2)

UCFVector Potential A (1)

AH

AHBAB

1or

definecan we 0)( and ,0 since

equations ofset first For the

A

AA

A

AAA

AAevA

AA

AA

jj

HBBEDD

EJHHE

0

UCFVector Potential A (2)

UCFVector Potential A (3)

UCFVector Potential F (1)

Since for the second group 0 FDand the vector identity

UCFVector Potential F (2)

UCFPartially Filled Waveguide - Transverse Resonance Method