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# Class Note for ECE 6341 with Professor Jackson at UH

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COURSE
PROF.
No professor available
TYPE
Class Notes
PAGES
12
WORDS
KARMA
25 ?

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This 12 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 16 views.

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Date Created: 02/06/15
Spherical Coax w m integer u 2 integer Pm Q x J m Pom x X A 2 Ar cosm HU Pum 0036 APU quot cos Spherical Coax cont Boundary conditions Er O Qz l z Ar Olezel z A2 Ar cosm HU Pum cos 9 APU quot cos set to zero Spherical Coax cont PU 00561ABm cos l 0 PU 00361 Pquot 003 91 U A Hence 1 109 130 0056 Wj 130 0089 cos 1 U Normalizing by multiplying by PU 00561 we have Spherical Coax cont Pvm cos 92Pvm cos 91 Pvm cos 91Pvm cos 92 O This is a transcendental equation for o These values must be found numerically Spherical Coax cont TEMr transmissionline type of mode Start by assuming Ar with m 0 ENEQ H from handout For example 2 E 1 6 Ar jawgrsin ara Spherical Coax cont TEM property A2 kr Choose Un0 H0 kre 1 62A Ar 6 17 AP0 0036 BQ0 00367 Note this satisfies the boundary conditions on both cones since E 0 Spherical Coax cont Examine the fields that come from the term P0 005 67 Note that P0x 1 1 OZAV jk OAV jamgr area jamgr 66 E9 PO cos 6 sin6PO39 cos 6 0 Hence we don t need to consider P0 Spherical Coax cont 1 1x 1 1COS9 1 Q0x 21n1x gt Q0COS9 2111 0086 20032 1 2 ln 2 2 sin2 a 2 a lncot 2 Spherical Coax cont Hence E 1 OZAV jk 8Ar k OAV 6 jamgr 6r66 jamgr 66 amgr 66 H L yr 89 Spherical Coax cont E9 k 60181 66 Note The constant in front will be ignored Spherical Coax cont Note To compare with cylindrical coordinates we can use rsin lzp ECE 6341 Spring 2009 Prof David R Jackson ECE Dept Notes 23

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