CM LoRa/LoRaWAN tutorial 46
CM https://www.mobilefish.com/developer/lorawan/lorawan_quickguide_tutorial.html
CM https://www.mobilefish.com/download/lora/collinear2_868mhz_4nec2.nec.txt
CM Collinear antenna with 3 helixes and 4 radials 
CM To be used in 4NEC2 with support for SY cards
CM Helix outer diameter diam = 29.6mm
CM Helix radius center hr = (diam-d) / 2 = 13.9mm
CM Helix wire diameter d = 1.8mm
CM Helix wire radius r = d/2 = 0.9mm
CM Number of turns n = 1
CM Spacing between turns spacing = 4.5mm
CM Wire length bottom wla = 174mm
CM Wire length middle wlb = 221mm
CM Wire length top wlc = 186mm
CM Wire length radials straight LA = 28mm
CM Wire length radials bend LB = 65mm
CM Bend angle = 40 degrees
CM Wire a,b,c has an x offset = 13.9mm
CM Four radials has an x offset = 13.9mm
CM Frequency freq = 868.0 MHz
CM feedpoint is located at the bottom of the bottom wire
CM -----
SY height=11.0
SY spacing=0.0045
SY diameter=0.0018
SY wla=0.174
SY wlb=0.221
SY wlc=0.186 
SY hr=0.0139
SY r=diameter/2
SY da=height+wla
SY db=da+spacing
SY dc=db+wlb 
SY dd=dc+spacing  
SY de=dd+wlc
SY LA=0.028
SY LB=0.065
SY hrrad1=hr+LA
SY hrrad2=hr-LA
SY angle=40
SY LBX=cos(angle)*LB
SY LBY=sin(angle)*LB

SY freq=868.0
CE
'Helix bottom
GH	1	9	spacing	spacing	hr	hr	hr	hr	r
GM	0	0	0	0	0	0	0	da	1
'Helix middle
GH	2	9	spacing	spacing	hr	hr	hr	hr	r
GM	0	0	0	0	0	0	0	dc	2
'Helix top
GH	3	9	spacing	spacing	hr	hr	hr	hr	r
GM	0	0	0	0	0	0	0	de	3

'Wire bottom
GW	5	30	hr	0	height	hr	0	da	r 
'Wire middle
GW	6	40	hr	0	db	hr	0	dc	r
'Wire top
GW	7	33	hr	0	dd	hr	0	de	r

'Radial X straight
GW	10	3	hr	0	height	hrrad1	0	height	r
'Radial Y straight
GW	11	3	hr	0	height	hr	LA	height	r
'Radial -X straight
GW	12	3	hr	0	height	hrrad2	0	height	r
'Radial -Y straight
GW	13	3	hr	0	height	hr	-LA	height	r

'Radial X bend
GW	 15	10	hrrad1	0	height	hrrad1+LBX	0	height-LBY	r
'Radial Y bend
GW	 16	10	hr	LA	height	hr	LA+LBX	height-LBY	r
'Radial -X bend
GW	 17	10	hrrad2	0	height	hrrad2-LBX	0	height-LBY	r
'Radial -Y bend
GW	 18	10	hr	-LA	height	hr	-LA-LBX	height-LBY	r

GE	0
GN	2	0	0	0	3	0.0001
EK
'Radiator (copper)
LD	5	1	0	0	58000000
LD	5	2	0	0	58000000
LD	5	3	0	0	58000000
LD	5	5	0	0	58000000
LD	5	6	0	0	58000000
LD	5	7	0	0	58000000
'Radials (stainless steel)
LD	5	10	0	0	1390000
LD	5	11	0	0	1390000
LD	5	12	0	0	1390000
LD	5	13	0	0	1390000
LD	5	15	0	0	1390000
LD	5	16	0	0	1390000
LD	5	17	0	0	1390000
LD	5	18	0	0	1390000

EX	0	5	1	0	1	0
FR	0	1	0	0	freq	0
EN