The TM and TE modes can themselves be classified into odd or even modes that, respectively, have…

The TM and TE modes can themselves be classified into odd or even modes that, respectively, have 56747dc9 a115 4586 83a6 6efb7412dec0 odd or even functions of 9855c005 e177 4ed4 aa84 94f5be7b1354. With this in mind, the origin of the coordinate system is moved so that it is midway between the perfectly conducting plates, as shown in Fig. P13.2.2.

(a) Find the odd TM and TE solutions. Note that when the boundary condition is met at 0b10ae39 fa35 482a 9438 332990abf2f5 for these functions, it is automatically met at 5f3f1762 cae3 436f b832 520e74003c91.

(b) Find the even TM and TE solutions, again noting that if the conditions are met at 36a177f4 1b14 4659 8780 85d14359f912, then they are ata6709334 b68a 42ad a284 fc1a3af371cfas well.

Fig. P13.2.2

63537009 188e 47ba 9e23 47875ebee7a1

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