Reflection by PEC: Total Fields

• Perpendicular Polarization

yxj

iiitotal aezEE ii ˆ)cossin(2 2sin0

Reflection by PEC: Total Fields

PEC

PEC

PEC

Reflection by PEC: Total Fields• Perpendicular Polarization

PEC

PEC

y

xjii

itotal aezEE ii ˆ)cossin(2 2sin0

Reflection by PEC: Total Fields• Perpendicular Polarization

PEC

0 ,2 , ,0cos ii z

0z

)cos/( iiz

)cos/(2 iiz PEC

0zz 00 iE

0totalE

)cossin( ii z

y

xjii

itotal aezEE ii ˆ)cossin(2 2sin0

Two-plate wave guides• Perpendicular Polarization

PEC

PEC

y

xjii

itotal aezEE ii ˆ)cossin(2 2sin0

Two-plate wave guides

• Perpendicular Polarization

PEC

PEC

y

xjii

itotal aezEE ii ˆ)cossin(2 2sin0

Two-plate wave guides• Perpendicular Polarization

PEC

PEC

ii

D

cos

.consti Adjust i

Dii

1cos

.consti Adjust ii

i D

cos

y

xjii

itotal aezEE ii ˆ)cossin(2 2sin0

Two-plate wave guides• Perpendicular Polarization

PEC

iix sin

PEC

z

D

Dz

iiz cos D

nz

22zix

One mode

y

xjz

itotal aezEE x ˆ)sin(2 20

Two-plate wave guides• Perpendicular Polarization

PEC

iix sin

PEC

z

D2

iiz cos Dz

D

nz

22zix

Another mode

y

xjz

itotal aezEE x ˆ)sin(2 20

Two-plate wave guides• Perpendicular Polarization

PEC

iix sin

PEC

z

D3

Dz

iiz cos D

nz

22zix

A third mode

y

xjz

itotal aezEE x ˆ)sin(2 20

Two-plate wave guides• Perpendicular Polarization

PEC

PEC

z

D

D

nz

22zix .consti

direction)-in (propating real is sure make to 22 xzixzi

y

xjz

itotal aezEE x ˆ)sin(2 20

Two-plate wave guides• Perpendicular Polarization

PEC

PEC

z

D

D

nz

22zix .consti

direction)-in (propating real is sure make to 22 xzixzi

How many modes can a 2-plate waveguide support?

y

xjz

itotal aezEE x ˆ)sin(2 20