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Fig 1.

Flowchart of the overall experimental process.

This figure illustrates the sequential steps involved in the research experiment.

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Fig 2.

Combined view of the hardware setup for determining the dielectric constant value of a material: Dielectric-free perspective, front view with FR4 substrate, and perspective view with FR4 substrate.

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Table 1.

Parameters for the lens system used in the characterization of a dielectric material.

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Fig 3.

Design view of the complete hardware setup incorporating a patch antenna for precise determination of the dielectric constant value of a material.

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Fig 4.

Practical setup of a microwave system for measuring the dielectric constant of FR4 in free space.

The system includes a microwave source, lens, and receiving antenna.

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Fig 5.

Advance integrated setup with horn antenna and FR4 for precise dielectric value determination.

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Fig 6.

(a) Front view and (b) Back view of the truncated ground plane ring type patch antenna.

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Fig 7.

Advanced microwave hardware setup with circular ring patch antenna, lens pair, for accurate dielectric value determination”.

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Fig 8.

Reflection Coefficient Graphs of a Transmission System in Free Space between Transmitter and Receiver (a) Sample-Free and Lens-Free Transmission (b) Lenses-Free Transmission System with a Sample (c) A Sample-Free Transmission System with Lenses (d) Transmission System with Lenses and a Sample.

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Table 2.

Permittivity values, 10G Hz to 11.5 GHz with and without Lens.

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Table 2 Expand

Fig 9.

Dielectric permittivity of FR4 graph as a function of frequency ranging 10 GHz to 11.5 GHz.

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Fig 10.

Dielectric permittivity of FR4 graph as a function of frequency ranging 10 GHz to 11.5 GHz.

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Table 3.

Comparison of dielectric measurement techniques.

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