Table 1.
Partial Derivatives of the Transmission Coefficient
with Respect to the Moving Distances of Six Marked Rods in Horizontal or Vertical Directions at
Rod No.
|
|
|
|
1 | (1,0) | 2.856 | 37.4 |
2 | (1,0) | 33.340 | 5637.8 |
3 | (1,0) | −33.340 | 5637.8 |
4 | (1,0) | −2.856 | 37.4 |
5 | (0,1) | −33.082 | 5593.3 |
6 | (0,1) | 33.082 | 5593.3 |
Table 2.
Exact and Approximate Transmission Coefficients of the Waveguide-Cavity System at
, When Rod 2 Is Moved in the Direction of
| Taylor I | Taylor II | Exact Value |
0.002 | 0.3116 | 0.3171 | 0.3176 |
0.005 | 0.3824 | 0.4173 | 0.4256 |
0.008 | 0.4533 | 0.5425 | 0.5764 |
0.010 | 0.5005 | 0.6400 | 0.7003 |
Table 3.
Partial Derivatives of the Complex Resonant Frequency
with Respect to the Radii of Selected Rods as Shown in Fig. 3
Rod no.
|
|
1 |
|
2 |
|
3 |
|
7 |
|
Table 4.
Exact and Approximates Values of the Normalized Resonant Frequency,
, for a Few Values of
| Taylor I | Exact Value |
0.002 |
|
|
0.004 |
|
|
0.006 |
|
|
0.008 |
|
|
0.010 |
|
|
−0.002 |
|
|
−0.004 |
|
|
−0.006 |
|
|
−0.008 |
|
|
−0.010 |
|
|
Table 5.
Partial Derivatives of the Complex Resonant Frequency
with Respect to the Refractive Indices of Selected Rods as Shown in Fig. 3
Rod No.
|
|
1 |
|
2 |
|
3 |
|
7 |
|
Table 6.
Exact and Approximates Values of the Normalized Resonant Frequency,
, for a Few Values of
| Taylor I | Exact Value |
0.03 |
|
|
0.09 |
|
|
0.15 |
|
|
−0.03 |
|
|
−0.09 |
|
|
−0.15 |
|
|
Table 7.
Partial Derivatives of the Complex Resonant Frequency
with Respect to the Moving Distances in Horizontal or Vertical Directions of Selected Rods
Rod No.
|
|
|
1 | (1,0) |
|
2 | (1,0) |
|
3 | (1,0) |
|
7 | (0,−1) |
|
Table 8.
Exact and Approximate Values of the Normalized Resonant Frequency,
, for a Few Values of
with Fixed
| Taylor I | Exact Value |
0.002 |
|
|
0.004 |
|
|
0.006 |
|
|
0.008 |
|
|
0.010 |
|
|
−0.002 |
|
|
−0.004 |
|
|
−0.006 |
|
|
−0.008 |
|
|
−0.010 |
|
|