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/UAFWLIS2.3/Backup/VimFWLIS/YVFK.F

http://ua-fwlis.googlecode.com/
FORTRAN Legacy | 465 lines | 237 code | 131 blank | 97 comment | 9 complexity | 9756e47a40bbb5fd4a9350c4f52a851d MD5 | raw file
Possible License(s): GPL-3.0 
    

  1.       COMPLEX*16 FUNCTION YVFK(x_m,y_m,z_m,alpha_mn,

    2. 

  2.      &						l_m,b_m,x_n,y_n,z_n,l_n,b_n,k,d,w,epsilon

    3. 

  3.      &						,STORE_KRHO,NUM_KRHO,T_L,T_U,

    4. 

  4.      &                        RHO_MAX, curr_flag_m,

    5. 

  5.      &                        l_n2)

    6. 

  6. ********************************************************************************

    7. 

  7. *	THIS FUNCTION IS TO EVALUATE YY_0(ALPHA_MN=0) USING EXACT REACTION FORM

    8. 

  8. *	Y MEANS RECTANGULAR BASED HALF CELL

    9. 

  9. ********************************************************************************

    10. 

  10. 

    11. 

  11. $DECLARE

    12. 

  12. 

    13. 

  13.       DOUBLE PRECISION, INTENT(IN) :: X_M,X_N,Y_M,Y_N,z_m,z_n,l_m,l_n

    14. 

  14. 	DOUBLE PRECISION, INTENT(IN) :: l_n2, ALPHA_MN

    15. 

  15. 	DOUBLE PRECISION, INTENT(IN) :: b_m,b_n,d,W,RHO_MAX

    16. 

  16. 	COMPLEX*16, INTENT(IN) :: k,EPSILON

    17. 

  17. 	INTEGER,INTENT(IN) ::  curr_flag_m, T_L, T_U

    18. 

  18. 	INTEGER, INTENT(INOUT) :: NUM_KRHO

    19. 

  19. 

    20. 

  20. 	INTEGER :: NUM_GREEN_ARRAY

    21. 

  21. 	PARAMETER (NUM_GREEN_ARRAY=20000)

    22. 

  22. 	COMPLEX*16, INTENT(INOUT) :: STORE_KRHO(0:NUM_GREEN_ARRAY)

    23. 

  23. 

    24. 

  24. 

    25. 

  25. 

    26. 

  26. ************* LOCAL VARIABLE **********************

    27. 

  27. 	INTEGER P, P_STEP,P_START,P_MAX

    28. 

  28. 	INTEGER E_L, E_U

    29. 

  29. 	INTEGER M_B,N_B, M_T, M_E

    30. 

  30. 	DOUBLE PRECISION THETA_MN, COS_ALPHA_MN,SIN_ALPHA_MN

    31. 

  31. 	

    32. 

  32. 	DOUBLE PRECISION  R_MN_ARRAY(-1:1,-1:1,-1:1,-1:1)

    33. 

  33.      	DOUBLE PRECISION THETA_ARRAY(-1:1,-1:1,-1:1,-1:1)

    34. 

  34. 	COMPLEX*16 :: A1MN(-1:1,-1:1,-1:1,-1:1),

    35. 

  35.      &              A2MN(-1:1,-1:1,-1:1,-1:1)

    36. 

  36. 

    37. 

  37. 	COMPLEX*16 :: A1, A2

    38. 

  38. 	COMPLEX*16 :: IM, KRHO

    39. 

  39. 

    40. 

  40.       INTEGER MNUMA

    41. 

  41. 	PARAMETER (MNUMA=12)

    42. 

  42. 	INTEGER NUMA,PCKEXP(MNUMA)

    43. 

  43.       COMPLEX*16 A(MNUMA),OMEGA_PLUS(MNUMA),OMEGA_MINUS(MNUMA),Z,

    44. 

  44.      &	H01,H02,H11,H12

    45. 

  45. 	DOUBLE PRECISION PHZ

    46. 

  46. 

    47. 

  47. 	DOUBLE PRECISION RHO_MN,ZMI,ZNI,RHO_MIN

    48. 

  48. ******************************************************************************

    49. 

  49. 

    50. 

  50. 	INTEGER SD

    51. 

  51. 	INTEGER :: SD_ILHI_HV

    52. 

  52. 	DOUBLE PRECISION :: RELERR_ILHI_HV,RELERR_RES_HV

    53. 

  53. 

    54. 

  54. 	COMMON /SIGDIG/   SD

    55. 

  55. 	COMMON/RELERR_HV/RELERR_ILHI_HV,RELERR_RES_HV

    56. 

  56. 	COMMON/SD_HV/SD_ILHI_HV

    57. 

  57. 

    58. 

  58. 

    59. 

  59. ************************************

    60. 

  60. 

    61. 

  61.       double precision :: RELERR

    62. 

  62. 	complex*16       :: K_2,  term_sum

    63. 

  63. 	integer          :: ECOUNT, COUNT, CHOICE

    64. 

  64. 	DOUBLE PRECISION :: KRHO_MAX,  K_Z

    65. 

  65. 

    66. 

  66. 

    67. 

  67. 

    68. 

  68. 	double precision ::  R_MN_ARRAY_VL(-1:1,-1:1,-1:1,-1:1) 

    69. 

  69. 	double precision ::  R_MN_ARRAY_VR(-1:1,-1:1,-1:1,-1:1)

    70. 

  70. 	double precision :: THETA_ARRAY_VL(-1:1,-1:1,-1:1,-1:1)

    71. 

  71. 	double precision :: THETA_ARRAY_VR(-1:1,-1:1,-1:1,-1:1)

    72. 

  72. 

    73. 

  73. 

    74. 

  74. 	COMPLEX*16 :: A1MN_VL(-1:1,-1:1,-1:1,-1:1),

    75. 

  75.      &	          A2MN_VL(-1:1,-1:1,-1:1,-1:1)

    76. 

  76. 

    77. 

  77. 	COMPLEX*16 :: A1MN_VR(-1:1,-1:1,-1:1,-1:1),

    78. 

  78.      &              A2MN_VR(-1:1,-1:1,-1:1,-1:1)

    79. 

  79. 

    80. 

  80.       LOGICAL :: AMN_NE1_VL(-1:1,-1:1,-1:1,-1:1),

    81. 

  81.      &           AMN_NE2_VL(-1:1,-1:1,-1:1,-1:1)

    82. 

  82. 

    83. 

  83.       LOGICAL :: AMN_NE1_VR(-1:1,-1:1,-1:1,-1:1),

    84. 

  84.      &           AMN_NE2_VR(-1:1,-1:1,-1:1,-1:1)

    85. 

  85. 

    86. 

  86.       DOUBLE PRECISION :: A1MN_SQP1_VL(-1:1,-1:1,-1:1,-1:1),

    87. 

  87.      &	                A2MN_SQP1_VL(-1:1,-1:1,-1:1,-1:1)

    88. 

  88.       

    89. 

  89.       DOUBLE PRECISION :: A1MN_SQP1_VR(-1:1,-1:1,-1:1,-1:1),

    90. 

  90.      &                    A2MN_SQP1_VR(-1:1,-1:1,-1:1,-1:1)

    91. 

  91. 

    92. 

  92. ******************************************************************************

    93. 

  93.       COMPLEX*16 YVYK

    94. 

  94. 	EXTERNAL   YVYK

    95. 

  95. 

    96. 

  96. 	EXTERNAL OMEGA,CHANKL, CHANKLH

    97. 

  97. 	EXTERNAL RHO_THETA1, SGN

    98. 

  98. 	EXTERNAL FIND_KRHO

    99. 

  99. 

    100. 

  100. ****************************************

    101. 

  101.       IM = (0.D0, 1.D0)

    102. 

  102. 	RELERR=5.D0*10.D0**(-SD-1)

    103. 

  103. 	K_2=K*K

    104. 

  104. 	P_MAX=20000

    105. 

  105. 

    106. 

  106. 	COS_ALPHA_MN=COS(alpha_mn)

    107. 

  107. 	SIN_ALPHA_MN=SIN(alpha_mn)

    108. 

  108. 

    109. 

  109. 

    110. 

  110. 	IF (ABS((z_m-z_n)/z_m)<1.D-4 

    111. 

  111.      &    .and.  T_L==-1  .and.  T_U==1	) THEN

    112. 

  112. 		WRITE(*,*) 'A HOR CELL IS AT CENTER'

    113. 

  113. 		WRITE(*,*) 'A FULL VER CELL IS AT CENTER'

    114. 

  114. 		WRITE(*,*) 'WHAT TO DO NOW?'

    115. 

  115. 		WRITE(*,*) 'PLEASE CHECK YVYK.FOR'

    116. 

  116. 		STOP

    117. 

  117. 	ENDIF

    118. 

  118. 

    119. 

  119. 

    120. 

  120. 	IF (ABS((z_n-d/2.D0)/z_n)<1.D-4) THEN

    121. 

  121. *		CHECK TO SEE IF THE HOR. (EXPANSION) CURRENT IS IN THE

    122. 

  122. *		CENTER OF THE WAVEGUIDE. THEN EVEN MODES ARE NOT COMPUTED							

    123. 

  123. 		P_STEP=2

    124. 

  124. 		P_START=1

    125. 

  125. 	ELSEIF ( ABS((z_m-d/2.D0)/z_m)<1.D-4

    126. 

  126.      &    	.and.  T_L==-1  .and.  T_U==1) THEN

    127. 

  127. *		CHECK TO SEE IF THE FULL VER. (TEST) CURRENT IS IN THE

    128. 

  128. *		CENTER OF THE WAVEGUIDE. THEN ODD MODES ARE NOT COMPUTED

    129. 

  129. 		P_STEP=2

    130. 

  130. 		P_START=2

    131. 

  131. 	ELSE

    132. 

  132. *		NEED ALL MODES

    133. 

  133. 		P_STEP=1

    134. 

  134. 		P_START=1

    135. 

  135. 	ENDIF

    136. 

  136. 

    137. 

  137. 

    138. 

  138. 

    139. 

  139. 

    140. 

  140. 

    141. 

  141. ** COMPUTE SOME COMMON USED VARIABLES

    142. 

  142. ****    CALCULATE AN ARRAY OF THE REQUIRED DISTANCES AND ANGLES.

    143. 

  143. 

    144. 

  144. 

    145. 

  145. *--------------------case VL combination--------------

    146. 

  146. 

    147. 

  147. 	CALL RHO_THETA1(x_m,y_m,x_n,y_n,l_m,l_n,b_m,b_n,

    148. 

  148.      &	alpha_mn,R_MN_ARRAY,THETA_ARRAY,RHO_MIN

    149. 

  149.      &	,-1,1,-1,1,-1,1,1,1,COS_ALPHA_MN,SIN_ALPHA_MN)

    150. 

  150. 

    151. 

  151. 	A1MN        =  -IM*sin(THETA_ARRAY)

    152. 

  152.       A2MN        =  -IM*cos(THETA_ARRAY)

    153. 

  153. 

    154. 

  154. ***	Compute and Store the repeatedly used Parameters

    155. 

  155. 

    156. 

  156.       R_MN_ARRAY_VL  =  R_MN_ARRAY

    157. 

  157. 	THETA_ARRAY_VL =  THETA_ARRAY

    158. 

  158. 	A1MN_VL        =  A1MN

    159. 

  159.       A2MN_VL        =  A2MN

    160. 

  160. 

    161. 

  161. 	  DO m_t=-1,1,1

    162. 

  162. 	  DO m_e=-1,1,1

    163. 

  163. 	  DO m_b=-1,1,1

    164. 

  164. 	  DO n_b=-1,1,1

    165. 

  165. 

    166. 

  166.  				A1=A1MN(M_T,M_E,M_B,N_B)

    167. 

  167.                   A2=A2MN(M_T,M_E,M_B,N_B)

    168. 

  168. 

    169. 

  169. 		    	A1MN_SQP1_VL(M_T,M_E,M_B,N_B)=DBLE(a1*a1+1.D0)

    170. 

  170.                   A2MN_SQP1_VL(M_T,M_E,M_B,N_B)=DBLE(a2*a2+1.D0)

    171. 

  171. 

    172. 

  172. 			IF (ABS(a1)/=1.D0) THEN

    173. 

  173. 				AMN_NE1_VL(M_T,M_E,M_B,N_B)=.TRUE.

    174. 

  174. 			ELSE

    175. 

  175. 				AMN_NE1_VL(M_T,M_E,M_B,N_B)=.FALSE.

    176. 

  176. 			END IF

    177. 

  177. 			IF (ABS(a2)/=1.D0) THEN

    178. 

  178. 				AMN_NE2_VL(M_T,M_E,M_B,N_B)=.TRUE.

    179. 

  179. 			ELSE

    180. 

  180. 				AMN_NE2_VL(M_T,M_E,M_B,N_B)=.FALSE.

    181. 

  181. 			END IF

    182. 

  182. 

    183. 

  183. 	  END DO

    184. 

  184. 	  END DO

    185. 

  185. 	  END DO

    186. 

  186. 	  END DO

    187. 

  187. 

    188. 

  188. *--------------------case VL combination ends--------------

    189. 

  189. 

    190. 

  190. *--------------------case VR combination--------------

    191. 

  191. 

    192. 

  192. 	CALL RHO_THETA1(x_m,y_m,x_n,y_n,l_m,l_n2,b_m,b_n,

    193. 

  193.      &	alpha_mn,R_MN_ARRAY,THETA_ARRAY,RHO_MIN

    194. 

  194.      &	,-1,1,-1,1,-1,1,1,1,COS_ALPHA_MN,SIN_ALPHA_MN)

    195. 

  195. 

    196. 

  196. 	A1MN        =  -IM*sin(THETA_ARRAY)

    197. 

  197.       A2MN        =  -IM*cos(THETA_ARRAY)

    198. 

  198. 

    199. 

  199. ***	Compute and Store the repeatedly used Parameters

    200. 

  200. 

    201. 

  201.       R_MN_ARRAY_VR  =  R_MN_ARRAY

    202. 

  202. 	THETA_ARRAY_VR =  THETA_ARRAY

    203. 

  203. 	A1MN_VR        =  A1MN

    204. 

  204.       A2MN_VR        =  A2MN

    205. 

  205. 

    206. 

  206. 	  DO m_t=-1,1,1

    207. 

  207. 	  DO m_e=-1,1,1

    208. 

  208. 	  DO m_b=-1,1,1

    209. 

  209. 	  DO n_b=-1,1,1

    210. 

  210. 

    211. 

  211.  				A1=A1MN(M_T,M_E,M_B,N_B)

    212. 

  212.                   A2=A2MN(M_T,M_E,M_B,N_B)

    213. 

  213. 		    	A1MN_SQP1_VR(M_T,M_E,M_B,N_B)=DBLE(a1*a1+1.D0)

    214. 

  214.                   A2MN_SQP1_VR(M_T,M_E,M_B,N_B)=DBLE(a2*a2+1.D0)

    215. 

  215. 

    216. 

  216. 			IF (ABS(a1)/=1.D0) THEN

    217. 

  217. 				AMN_NE1_VR(M_T,M_E,M_B,N_B)=.TRUE.

    218. 

  218. 			ELSE

    219. 

  219. 				AMN_NE1_VR(M_T,M_E,M_B,N_B)=.FALSE.

    220. 

  220. 			END IF

    221. 

  221. 			IF (ABS(a2)/=1.D0) THEN

    222. 

  222. 				AMN_NE2_VR(M_T,M_E,M_B,N_B)=.TRUE.

    223. 

  223. 			ELSE

    224. 

  224. 				AMN_NE2_VR(M_T,M_E,M_B,N_B)=.FALSE.

    225. 

  225. 			END IF

    226. 

  226. 

    227. 

  227. 	  END DO

    228. 

  228. 	  END DO

    229. 

  229. 	  END DO

    230. 

  230. 	  END DO

    231. 

  231. 

    232. 

  232. 

    233. 

  233. 	NUMA=4

    234. 

  234. 

    235. 

  235. 

    236. 

  236. *------------------case VR combination ends--------------------

    237. 

  237. *-------------------------------------------------------------

    238. 

  238.       E_L = -1

    239. 

  239. 	E_U =  1

    240. 

  240. 

    241. 

  241. 

    242. 

  242. 

    243. 

  243. cx	IF (RHO_MIN .GT. -LOG(1.D-5)/KRHO_MAX/1.5D0) THEN

    244. 

  244.       IF (RHO_MIN .GT. RHO_MAX/1.5D0) then 

    245. 

  245. * USE approximation	

    246. 

  246.           

    247. 

  247. 	YVFK =0.D0

    248. 

  248. 	P=1

    249. 

  249. 	COUNT=-1

    250. 

  250. 	ECOUNT=0

    251. 

  251. 

    252. 

  252. 	DO

    253. 

  253. 	      TERM_sum =0.D0

    254. 

  254.             if (p>P_max) exit	  

    255. 

  255. 

    256. 

  256. 

    257. 

  257. 

    258. 

  258.       END DO

    259. 

  259. 	 

    260. 

  260. *--------------------------------------

    261. 

  261. *======================================		

    262. 

  262. * NEED USE EXACT FORM OF REACTION

    263. 

  263. 	ELSE

    264. 

  264. 

    265. 

  265. 

    266. 

  266. 	p_max=20000

    267. 

  267.       YVFK =0.D0

    268. 

  268. 

    269. 

  269. *------------------------------------------------------------

    270. 

  270. *============================================================

    271. 

  271. 

    272. 

  272. *   ------------begin pole loop for exponential term summation ---------

    273. 

  273. 	P=1

    274. 

  274. 	COUNT=-1

    275. 

  275. 	ECOUNT=0

    276. 

  276. 

    277. 

  277.       CHOICE =1

    278. 

  278. 	DO

    279. 

  279. 

    280. 

  280. 

    281. 

  281. 	        CALL FIND_KRHO(KRHO,K,K_Z,P,NUM_KRHO,P_STEP,STORE_KRHO

    282. 

  282.      &	         ,D, NUM_GREEN_ARRAY)

    283. 

  283. 

    284. 

  284. 

    285. 

  285. 

    286. 

  286. 	      TERM_sum =0.D0

    287. 

  287.             if (p>P_max) exit	  

    288. 

  288. 	if(1) then

    289. 

  289. *      ----------- 1. VL combination begins----------------

    290. 

  290.  

    291. 

  291.                   TERM_sum = TERM_sum+  

    292. 

  292.      &                   YVYK(x_m,y_m,z_m,alpha_mn,l_m,b_m,x_n,y_n

    293. 

  293.      &	,z_n,l_n,b_n,k,d,w,epsilon,STORE_KRHO,NUM_KRHO,T_L,T_U,0,E_L

    294. 

  294.      &    ,RHO_MIN, RHO_MAX, curr_flag_m,  CHOICE, P,  KRHO, K_Z,

    295. 

  295.      &    R_MN_ARRAY_VL, THETA_ARRAY_VL,  A1MN_VL, A2MN_VL, 

    296. 

  296.      &    AMN_NE1_VL, AMN_NE2_VL, A1MN_SQP1_VL, A2MN_SQP1_VL  )

    297. 

  297. 

    298. 

  298. 	end if

    299. 

  299. 

    300. 

  300. *-----------------1. VL combination ends------------

    301. 

  301. 

    302. 

  302.        if (1) then

    303. 

  303. *-----------------2. VR combination begins----------

    304. 

  304.  

    305. 

  305.                   TERM_sum = TERM_sum+ 

    306. 

  306.      &                   YVYK(x_m,y_m,z_m,alpha_mn,l_m,b_m,x_n,y_n

    307. 

  307.      &	,z_n,l_n2,b_n,k,d,w,epsilon,STORE_KRHO,NUM_KRHO,T_L,T_U,0,E_U

    308. 

  308.      &    ,RHO_MIN,RHO_MAX, curr_flag_m,  CHOICE, P,  KRHO, K_Z,

    309. 

  309.      &    R_MN_ARRAY_VR, THETA_ARRAY_VR,  A1MN_VR, A2MN_VR, 

    310. 

  310.      &    AMN_NE1_VR, AMN_NE2_VR, A1MN_SQP1_VR, A2MN_SQP1_VR  )

    311. 

  311. 

    312. 

  312. *-----------------2. VR combination ends------------

    313. 

  313.       end if

    314. 

  314. 

    315. 

  315. 

    316. 

  316.                   YVFK = YVFK + TERM_sum

    317. 

  317. 

    318. 

  318. 

    319. 

  319. 				IF (( ABS(TERM_sum/YVFK) .LT. RELERR_RES_HV) .or. 

    320. 

  320.      &				 (TERM_sum==0 .and. YVFK==0) ) THEN

    321. 

  321. 					IF (p .EQ. COUNT+p_step) THEN

    322. 

  322. *					SINCE THE ODD MODES YIELD ZERO RESULTS WHEN EITHER TEST OR EXPANSION

    323. 

  323. *		 		    FUNCTION IS AT THE MIDDLE OF THE PARALLEL PLATES. WE NEED TO MAKE SURE

    324. 

  324. *				    THAT THE RELATIVE ERROR BOUND IS SATISFIED AT LEAST 3 TIMES

    325. 

  325. *					LATER COMMENT: NOTE THAT THIS IS POSSIBLY TAKEN CARE OF BY ONLY SUMMING

    326. 

  326. *					THE EVEN RESIDUES FOR TEST AND EXPANSION FUNCTIONS SITTING AT THE CENTER

    327. 

  327. *					OF THE PARALLEL PLATE WAVEGUIDE		

    328. 

  328. 						IF(ECOUNT==1) EXIT

    329. 

  329. 						ECOUNT=ECOUNT+1

    330. 

  330. 					ELSE

    331. 

  331. 						ECOUNT=0

    332. 

  332. 					ENDIF

    333. 

  333. 					COUNT=p

    334. 

  334. 				END IF

    335. 

  335. *				GO BACK TO CALCULATE NEW RESIDUE VALUE FOR EXPONENTIALS

    336. 

  336. 

    337. 

  337. 

    338. 

  338. 				p=p+p_step

    339. 

  339. 

    340. 

  340.       END DO

    341. 

  341. c	print *, "p=", p,  YVFK

    342. 

  342. *-------------------------------END of Exponential term summation-------------

    343. 

  343. *

    344. 

  344. *

    345. 

  345. *------------------------------BEGIN pole loop for ILHI term summation-------------------

    346. 

  346. 	P=1

    347. 

  347. 	COUNT=-1

    348. 

  348. 	ECOUNT=0

    349. 

  349. 

    350. 

  350.       CHOICE =2

    351. 

  351. 	DO

    352. 

  352. 

    353. 

  353. 	        CALL FIND_KRHO(KRHO,K,K_Z,P,NUM_KRHO,P_STEP,STORE_KRHO

    354. 

  354.      &	         ,D, NUM_GREEN_ARRAY)

    355. 

  355. 

    356. 

  356. 

    357. 

  357. 	      TERM_sum =0.D0

    358. 

  358.             if (p>P_max) exit	  

    359. 

  359. 	if(1) then

    360. 

  360. *      ----------- 1. VL combination begins----------------

    361. 

  361.  

    362. 

  362.                   TERM_sum = TERM_sum+  

    363. 

  363.      &                   YVYK(x_m,y_m,z_m,alpha_mn,l_m,b_m,x_n,y_n

    364. 

  364.      &	,z_n,l_n,b_n,k,d,w,epsilon,STORE_KRHO,NUM_KRHO,T_L,T_U,0,E_L

    365. 

  365.      &    ,RHO_MIN,RHO_MAX, curr_flag_m,  CHOICE, P,  KRHO, K_Z,

    366. 

  366.      &    R_MN_ARRAY_VL, THETA_ARRAY_VL,  A1MN_VL, A2MN_VL, 

    367. 

  367.      &    AMN_NE1_VL, AMN_NE2_VL, A1MN_SQP1_VL, A2MN_SQP1_VL  )

    368. 

  368. 

    369. 

  369. 

    370. 

  370. 	end if

    371. 

  371. 

    372. 

  372. *-----------------1. VL combination ends------------

    373. 

  373. 

    374. 

  374.        if (1) then

    375. 

  375. *-----------------2. VR combination begins----------

    376. 

  376.  

    377. 

  377.                   TERM_sum = TERM_sum+ 

    378. 

  378.      &                   YVYK(x_m,y_m,z_m,alpha_mn,l_m,b_m,x_n,y_n

    379. 

  379.      &	,z_n,l_n2,b_n,k,d,w,epsilon,STORE_KRHO,NUM_KRHO,T_L,T_U,0,E_U

    380. 

  380.      &    ,RHO_MIN,RHO_MAX, curr_flag_m,  CHOICE, P,  KRHO, K_Z,

    381. 

  381.      &    R_MN_ARRAY_VR, THETA_ARRAY_VR,  A1MN_VR, A2MN_VR, 

    382. 

  382.      &    AMN_NE1_VR, AMN_NE2_VR, A1MN_SQP1_VR, A2MN_SQP1_VR  )

    383. 

  383. 

    384. 

  384. *-----------------2. VR combination ends------------

    385. 

  385.       end if

    386. 

  386. 

    387. 

  387. 

    388. 

  388.                   YVFK = YVFK + TERM_sum

    389. 

  389. 

    390. 

  390. 

    391. 

  391. 				IF (( ABS(TERM_sum/YVFK) .LT. RELERR_RES_HV) .or. 

    392. 

  392.      &				 (TERM_sum==0 .and. YVFK==0) ) THEN

    393. 

  393. 					IF (p .EQ. COUNT+p_step) THEN

    394. 

  394. *					SINCE THE ODD MODES YIELD ZERO RESULTS WHEN EITHER TEST OR EXPANSION

    395. 

  395. *		 		    FUNCTION IS AT THE MIDDLE OF THE PARALLEL PLATES. WE NEED TO MAKE SURE

    396. 

  396. *				    THAT THE RELATIVE ERROR BOUND IS SATISFIED AT LEAST 3 TIMES

    397. 

  397. *					LATER COMMENT: NOTE THAT THIS IS POSSIBLY TAKEN CARE OF BY ONLY SUMMING

    398. 

  398. *					THE EVEN RESIDUES FOR TEST AND EXPANSION FUNCTIONS SITTING AT THE CENTER

    399. 

  399. *					OF THE PARALLEL PLATE WAVEGUIDE		

    400. 

  400. 						IF(ECOUNT==1) EXIT

    401. 

  401. 						ECOUNT=ECOUNT+1

    402. 

  402. 					ELSE

    403. 

  403. 						ECOUNT=0

    404. 

  404. 					ENDIF

    405. 

  405. 					COUNT=p

    406. 

  406. 				END IF

    407. 

  407. *				GO BACK TO CALCULATE NEW RESIDUE VALUE FOR EXPONENTIALS

    408. 

  408. 

    409. 

  409. 

    410. 

  410. 				p=p+p_step

    411. 

  411. 

    412. 

  412.       END DO

    413. 

  413. c	print *, "p=", p,  YVFK

    414. 

  414. *-------------------------------END pole loop for ILHI term summation-------------

    415. 

  415. *------------------------------BEGIN Brach point calculation-------------------

    416. 

  416. 

    417. 

  417. 	KRHO = 0

    418. 

  418. 	k_z  = k

    419. 

  419. 

    420. 

  420.       TERM_sum =0.D0

    421. 

  421. 

    422. 

  422. 	CHOICE =3

    423. 

  423. 

    424. 

  424. *      ----------- 1. VL combination----------------

    425. 

  425.       if (1) then

    426. 

  426.  

    427. 

  427.                   TERM_sum = TERM_sum+  

    428. 

  428.      &                   YVYK(x_m,y_m,z_m,alpha_mn,l_m,b_m,x_n,y_n

    429. 

  429.      &	,z_n,l_n,b_n,k,d,w,epsilon,STORE_KRHO,NUM_KRHO,T_L,T_U,0,E_L

    430. 

  430.      &    ,RHO_MIN,RHO_MAX, curr_flag_m,  CHOICE, P,  KRHO, K_Z,

    431. 

  431.      &    R_MN_ARRAY_VL, THETA_ARRAY_VL,  A1MN_VL, A2MN_VL, 

    432. 

  432.      &    AMN_NE1_VL, AMN_NE2_VL, A1MN_SQP1_VL, A2MN_SQP1_VL  )

    433. 

  433. 

    434. 

  434. *-----------------1. VL combination ends------------

    435. 

  435.       end if

    436. 

  436. 

    437. 

  437.       if (1) then

    438. 

  438. *-----------------2. VR combination begins----------

    439. 

  439.  

    440. 

  440.                   TERM_sum = TERM_sum+ 

    441. 

  441.      &                   YVYK(x_m,y_m,z_m,alpha_mn,l_m,b_m,x_n,y_n

    442. 

  442.      &	,z_n,l_n2,b_n,k,d,w,epsilon,STORE_KRHO,NUM_KRHO,T_L,T_U,0,E_U

    443. 

  443.      &    ,RHO_MIN,RHO_MAX, curr_flag_m,  CHOICE, P,  KRHO, K_Z,

    444. 

  444.      &    R_MN_ARRAY_VR, THETA_ARRAY_VR,  A1MN_VR, A2MN_VR, 

    445. 

  445.      &    AMN_NE1_VR, AMN_NE2_VR, A1MN_SQP1_VR, A2MN_SQP1_VR  )

    446. 

  446. 

    447. 

  447. *-----------------2. VR combination ends------------

    448. 

  448.       end if

    449. 

  449. 

    450. 

  450. 

    451. 

  451.       YVFK = YVFK  + TERM_sum

    452. 

  452. c      print *, TERM_sum

    453. 

  453. *-------------------------------END of Branch Point summation

    454. 

  454. 

    455. 

  455. 

    456. 

  456. *

    457. 

  457. 

    458. 

  458. 

    459. 

  459.       END IF

    460. 

  460. *     above endif is the judge for exact/approximation 

    461. 

  461. 

    462. 

  462. c      print *, YVFK

    463. 

  463. 

    464. 

  464. 

    465. 

  465. 	END FUNCTION YVFK
    466.