Implementation of a simple optical threshold operation with the use of the prom device and its application

✍ Scribed by Binquan Wang; Liren Liu; Haifeng Peng

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 431 KB
• Volume: 11
• Category: Article
• ISSN: 0895-2477
• DOI: 10.1002/(sici)1098-2760(19960420)11:6<332::aid-mop12>3.0.co;2-8

✦ Synopsis

5.

For other orthogonal coordinates (u, L', z) (such as elliptic, parabolic coordinates, and so forth) problems will arise both in the solution of field components E, and H, from Eq. ( 9) and in fulfillment of the boundary conditions by calculating transverse field components with the use of Eq. (61, because the dependences of the field components on coordinates u and u are mixed and cannot be separated. Therefore, solutions of general bianisotropic waveguides in these coordinates appear quite complicated and are worthy of detailed investigation.

APPENDIX

For the case that all four matrices Et, pt, zt, and yt are antisymmetrical and the coupling zt and tz terms vanish, the derivation will be drastically simplified. The two second-order differential equations of E, and H, take the following form:

~C L , / ( E C L -5 7 7 ) 1 -[ j P ( d 3 , -5D,) + d q a S -EEL,)D, + ~( € 5 ~ -E ~~) B , I -[(wC", + j P ) / ( ~p -571)I. [ j P ( pD, -vB,) + m ( E a p -7C"a)Bz + m ( q p aq a ~) D z I + w 2 ( 5 B , -@,I, where B, = P Z H Z 4-C " A 0, = eZ Ez + 7 , H, ,

pa, ta, qa-are the_ diagonal and antidiago-E , p, 6, 17 and