The critical part of material selection indicates....
This UWB antenna was fabricated and printed on a 1.6-mm-thick FR-4 substrate with permittivity of 4.4 and a loss tangent of 0.024
Often these values are not given for 1GHz , let alone 10GHz and are often too high as fiberglass content raises permittivity and loss tangent. Suppliers of Poly-amide FR4 yield better results but ε is often lower than 4.4
I suspect the material you or the author used was not same as parameters specified in article.
Dielectric Thickness must be kept small as possible and will affect impedance.
Copper thickness also has some impact.
These are some options in FR4
• Tetrafunctional Resin Tg =130°- 140°C, εr = 4.4, Tanδ= 0.024
• Multifunctional Resin Tg = 140°to 160°C, εr = 4.3, Tanδ =0.022
• High Temperature Multifunctional Resin Tg 170°- 175°C, εr = 4.1, Tanδ =0.019
• Enhanced Multifunctional Resin (Low loss) Tg 180°- 210°C, εr = 3.7, Tanδ =0.010
Keep in mind there is a tolerance on these parameters and luck is involved unless you do Monte Carlo calculations or
better still put on a test coupon for controlled impedance microstrip
or stripline and
pay extra for controlled Z tested boards, where supplier calibrates track width for variations in εr otherwise expect 10~20% variation
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Quality of coax and connector are also critical as well as torque on connect to spec.
I recommend only semi-rigid copper tubing.