File: ground.c

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/******* Translated to the C language by N. Kyriazis  20 Aug 2003 *******/
/*									*/
/* Program NEC(input,tape5=input,output,tape11,tape12,tape13,tape14,	*/
/* tape15,tape16,tape20,tape21)						*/
/*									*/
/* Numerical Electromagnetics Code (NEC2)  developed at Lawrence	*/
/* Livermore lab., Livermore, CA.  (contact G. Burke at 415-422-8414	*/
/* for problems with the NEC code. For problems with the vax implem- 	*/
/* entation, contact J. Breakall at 415-422-8196 or E. Domning at 415 	*/
/* 422-5936) 								*/
/* file created 4/11/80. 						*/
/*									*/
/*                ***********Notice********** 				*/
/* This computer code material was prepared as an account of work 	*/
/* sponsored by the United States government.  Neither the United 	*/
/* States nor the United States Department Of Energy, nor any of 	*/
/* their employees, nor any of their contractors, subcontractors, 	*/
/* or their employees, makes any warranty, express or implied, or	*/
/* assumes any legal liability or responsibility for the accuracy, 	*/
/* completeness or usefulness of any information, apparatus, product 	*/
/* or process disclosed, or represents that its use would not infringe 	*/
/* privately-owned rights. 						*/
/*									*/
/************************************************************************/

#include "nec2c.h"

/* pointers to input/output files */
extern FILE *input_fp, *output_fp, *plot_fp;

/* common  /data/ */
extern int n, np, m, mp, ipsym, npm, np2m, np3m; /* n+m,n+2m,n+3m */
extern int *icon1, *icon2, *itag;
extern long double *x, *y, *z, *si, *bi;
extern long double *x2, *y2, *z2, *cab, *sab, *salp;
extern long double *t1x, *t1y, *t1z, *t2x, *t2y, *t2z;
extern long double *px, *py, *pz, *pbi, *psalp;
extern long double wlam;

/* common  /dataj/ */
extern int iexk, ind1, indd1, ind2, indd2, ipgnd;
extern long double s, b, xj, yj, zj, cabj, sabj, salpj, rkh;
extern long double t1xj, t1yj, t1zj, t2xj, t2yj, t2zj;
extern complex long double  exk, eyk, ezk, exs, eys, ezs, exc, eyc, ezc;

/* for the sommerfeld ground option, rom2 integrates over the source */
/* common  /incom/ */
extern int isnor;
extern long double xo, yo, zo, sn, xsn, ysn;

/* common  /gwav/ */
extern long double r1, r2, zmh, zph;
extern complex long double u, u2, xx1, xx2;

/* common  /gnd/ */
extern int ksymp, ifar, iperf, nradl;
extern long double t2, cl, ch, scrwl, scrwr;
extern complex long double zrati, zrati2, t1, frati;

/*-------------------------------------------------------------------*/

/* segment to obtain the total field due to ground.  the method of */
/* variable interval width romberg integration is used.  there are 9 */
/* field components - the x, y, and z components due to constant, */
/* sine, and cosine current distributions. */
void rom2( long double a, long double b, complex long double *sum, long double dmin )

{
	int i, ns, nt, flag=TRUE;
	int nts = 4, nx = 1, n = 9;
	long double ze, ep, zend, dz=0., dzot=0., tmag1, tmag2, tr, ti;
	long double z, s; /***also global***/
	long double rx = 1.0e-4;
	complex long double g1[9], g2[9], g3[9], g4[9], g5[9];
	complex long double t00, t01[9], t10[9], t02, t11, t20[9];

	z= a;
	ze= b;
	s= b- a;

	if( s < 0.)
	{
		fprintf( output_fp, "\n  ERROR - B LESS THAN A IN ROM2" );
		stop(-1);
	}

	ep= s/(1.e4* npm);
	zend= ze- ep;

	for( i = 0; i < n; i++ )
		sum[i]=CPLX_00;

	ns= nx;
	nt=0;
	sflds( z, g1);

	while( TRUE )
	{
		if( flag == TRUE)
		{
			dz= s/ ns;
			if( z+ dz > ze)
			{
				dz= ze- z;
				if( dz <= ep)
					return;
			}

			dzot= dz*.5;
			sflds( z+ dzot, g3);
			sflds( z+ dz, g5);

		} /* if( flag ) */

		tmag1=0.;
		tmag2=0.;

		/* evaluate 3 point romberg result and test convergence. */
		for( i = 0; i < n; i++ )
		{
			t00=( g1[i]+ g5[i])* dzot;
			t01[i]=( t00+ dz* g3[i])*.5;
			t10[i]=(4.* t01[i]- t00)/3.;
			if( i > 2)
				continue;

			tr= creal( t01[i]);
			ti= cimag( t01[i]);
			tmag1= tmag1+ tr* tr+ ti* ti;
			tr= creal( t10[i]);
			ti= cimag( t10[i]);
			tmag2= tmag2+ tr* tr+ ti* ti;

		} /* for( i = 0; i < n; i++ ) */

		tmag1= sqrtl( tmag1);
		tmag2= sqrtl( tmag2);
		test( tmag1, tmag2, &tr, 0., 0., &ti, dmin);

		if( tr <= rx)
		{
			for( i = 0; i < n; i++ )
				sum[i] += t10[i];
			nt += 2;

			z += dz;
			if( z > zend)
				return;

			for( i = 0; i < n; i++ )
				g1[i]= g5[i];

			if( (nt >= nts) && (ns > nx) )
			{
				ns= ns/2;
				nt=1;
			}
			flag = TRUE;
			continue;

		} /* if( tr <= rx) */

		sflds( z+ dz*.25, g2);
		sflds( z+ dz*.75, g4);
		tmag1=0.;
		tmag2=0.;

		/* evaluate 5 point romberg result and test convergence. */
		for( i = 0; i < n; i++ )
		{
			t02=( t01[i]+ dzot*( g2[i]+ g4[i]))*.5;
			t11=( 4.0 * t02- t01[i] )/3.;
			t20[i]=(16.* t11- t10[i])/15.;
			if( i > 2)
				continue;

			tr= creal( t11);
			ti= cimag( t11);
			tmag1= tmag1+ tr* tr+ ti* ti;
			tr= creal( t20[i]);
			ti= cimag( t20[i]);
			tmag2= tmag2+ tr* tr+ ti* ti;

		} /* for( i = 0; i < n; i++ ) */

		tmag1= sqrtl( tmag1);
		tmag2= sqrtl( tmag2);
		test( tmag1, tmag2, &tr, 0.,0., &ti, dmin);

		if( tr > rx)
		{
			nt=0;
			if( ns < npm )
			{
				ns= ns*2;
				dz= s/ ns;
				dzot= dz*.5;

				for( i = 0; i < n; i++ )
				{
					g5[i]= g3[i];
					g3[i]= g2[i];
				}

				flag=FALSE;
				continue;

			} /* if( ns < npm) */

			fprintf( output_fp,
			         "\n  ROM2 -- STEP SIZE LIMITED AT Z = %12.5LE", z );

		} /* if( tr > rx) */

		for( i = 0; i < n; i++ )
			sum[i]= sum[i]+ t20[i];
		nt= nt+1;

		z= z+ dz;
		if( z > zend)
			return;

		for( i = 0; i < n; i++ )
			g1[i]= g5[i];

		flag = TRUE;
		if( (nt < nts) || (ns <= nx) )
			continue;

		ns= ns/2;
		nt=1;

	} /* while( TRUE ) */

}
/*-----------------------------------------------------------------------*/

/* sfldx returns the field due to ground for a current element on */
/* the source segment at t relative to the segment center. */
void sflds( long double t, complex long double *e )

{
	long double xt, yt, zt, rhx, rhy, rhs, rho, phx, phy;
	long double cph, sph, zphs, r2s, rk, sfac, thet;
	complex long double  erv, ezv, erh, ezh, eph, er, et, hrv, hzv, hrh;

	xt= xj+ t* cabj;
	yt= yj+ t* sabj;
	zt= zj+ t* salpj;
	rhx= xo- xt;
	rhy= yo- yt;
	rhs= rhx* rhx+ rhy* rhy;
	rho= sqrtl( rhs);

	if( rho <= 0.)
	{
		rhx=1.;
		rhy=0.;
		phx=0.;
		phy=1.;
	}
	else
	{
		rhx= rhx/ rho;
		rhy= rhy/ rho;
		phx=- rhy;
		phy= rhx;
	}

	cph= rhx* xsn+ rhy* ysn;
	sph= rhy* xsn- rhx* ysn;

	if( fabsl( cph) < 1.0e-10)
		cph=0.;
	if( fabsl( sph) < 1.0e-10)
		sph=0.;

	zph= zo+ zt;
	zphs= zph* zph;
	r2s= rhs+ zphs;
	r2= sqrtl( r2s);
	rk= r2* TP;
	xx2= cmplx( cosl( rk),- sinl( rk));

	/* use norton approximation for field due to ground.  current is */
	/* lumped at segment center with current moment for constant, sine, */
	/* or cosine distribution. */
	if( isnor != 1)
	{
		zmh=1.;
		r1=1.;
		xx1=0.;
		gwave( &erv, &ezv, &erh, &ezh, &eph);

		et=-CONST1* frati* xx2/( r2s* r2);
		er=2.* et* cmplx(1.0, rk);
		et= et* cmplx(1.0 - rk* rk, rk);
		hrv=( er+ et)* rho* zph/ r2s;
		hzv=( zphs* er- rhs* et)/ r2s;
		hrh=( rhs* er- zphs* et)/ r2s;
		erv= erv- hrv;
		ezv= ezv- hzv;
		erh= erh+ hrh;
		ezh= ezh+ hrv;
		eph= eph+ et;
		erv= erv* salpj;
		ezv= ezv* salpj;
		erh= erh* sn* cph;
		ezh= ezh* sn* cph;
		eph= eph* sn* sph;
		erh= erv+ erh;
		e[0]=( erh* rhx+ eph* phx)* s;
		e[1]=( erh* rhy+ eph* phy)* s;
		e[2]=( ezv+ ezh)* s;
		e[3]=0.;
		e[4]=0.;
		e[5]=0.;
		sfac= PI* s;
		sfac= sinl( sfac)/ sfac;
		e[6]= e[0]* sfac;
		e[7]= e[1]* sfac;
		e[8]= e[2]* sfac;

		return;
	} /* if( isnor != 1) */

	/* interpolate in sommerfeld field tables */
	if( rho >= 1.0e-12)
		thet= atanl( zph/ rho);
	else
		thet= POT;

	/* combine vertical and horizontal components and convert */
	/* to x,y,z components. multiply by exp(-jkr)/r. */
	intrp( r2, thet, &erv, &ezv, &erh, &eph );
	xx2= xx2/ r2;
	sfac= sn* cph;
	erh= xx2*( salpj* erv+ sfac* erh);
	ezh= xx2*( salpj* ezv- sfac* erv);
	/* x,y,z fields for constant current */
	eph= sn* sph* xx2* eph;
	e[0]= erh* rhx+ eph* phx;
	e[1]= erh* rhy+ eph* phy;
	e[2]= ezh;
	/* x,y,z fields for sine current */
	rk= TP* t;
	sfac= sinl( rk);
	e[3]= e[0]* sfac;
	e[4]= e[1]* sfac;
	/* x,y,z fields for cosine current */
	e[5]= e[2]* sfac;
	sfac= cosl( rk);
	e[6]= e[0]* sfac;
	e[7]= e[1]* sfac;
	e[8]= e[2]* sfac;

	return;
}
/*-----------------------------------------------------------------------*/