We can include the left-hand TBC expressing the field of the hypothetical node φ–1 (see Figure ) outside the analysis domain, (shown in “Transparent Boundary Condition” on page 23), as
Here the parameter γL is determined by the known fields at z .
Following similar way described we can include the right-hand TBC expressing the field
φ m of the hypothetical node as
Here, the parameter γR is determined by the known fields at z .
Therefore, to include the TBC for TE modes we get:
for the first left mesh point i = 0 , and
for the last right mesh point.
For TM modes we get:
for the first left mesh point i = 0 and
for the last right mesh point i = m -1 .