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Randy Bancroft - Microstrip and Printed Antenna Design

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Randy Bancroft Microstrip and Printed Antenna Design
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Appendix A
Microstrip antenna substrates
A.1 Microstrip antenna/transmission line substrates

The selection of a substrate material is a balance between the required electrical, mechanical, and environmental performance required by a design versus economic constraints. Generally, if one has the available design volume to use air as a substrate for a microstrip antenna, this is a good choice. The antenna efficiency is high and the gain is maximized as is the impedance bandwidth of a conventional microstrip antenna. The surface wave loss when air is used as a substrate is minimal.

When a dielectric substrate is selected, one is often interested in a material with the lowest loss tangent Picture 1 available. The loss tangent is a metric of the quantity of electrical energy which is converted to heat by a dielectric. The lowest possible loss tangent maximizes the antenna efficiency (decreases the losses) and is expanded upon in Section 2.6 of Chapter 2.

The relative dielectric permittivity, Picture 2, of the substrate determines the physical size of a patch antenna. The larger the dielectric permittivity, the smaller the element size, but also the smaller the impedance bandwidth and directivity. The surface wave loss also increases. The use of substrates with higher dielectric permittivity also tightens fabrication tolerances [].

The tolerance of the dielectric permittivity value is also of significant importance in manufacturing yield. A Monte Carlo-type analysis using the cavity model is a good method of estimating antenna manufacturing yield for a rectangular microstrip antenna when etching tolerance, substrate thickness tolerance, feed point location tolerance, and dielectric tolerances are known. Substrate electrical and physical parameters also vary with temperature. Work by Kabacik and Bialkowski indicates that Teflon/fiberglass substrates can have a significant variation of dielectric permittivity for many airborne and space-borne applications []. The dielectric permittivity and loss tangent of Teflon/fiberglass often differed from what was quoted by manufacturers in their data sheets when compared with measurements and were valid over a much narrower temperature range than encountered in many aerospace applications. The performance variations are due to changes in the material dielectric propertiesthermal expansion had a minor effect on microstrip antenna performance.

Commercially available substrates and laminates have different requirements for processing. Details of fabrication issues and methods may be found in the literature and directly from manufacturers [].

Generally, relative dielectric permittivity Picture 3 and loss tangent Picture 4 increase with temperature. In space applications, moisture outgassing produces a lower dielectric permittivity and loss tangent.

A.2 Metal cladding

Generally, the metal cladding attached to a dielectric substrate material is copper. Two types of copper foil are used as cladding, rolled foil and electrodeposited foil. Rolled foil is passed through a rolling mill a number of times until the desired physical dimensions are obtained and is then bonded to the substrate. Rolled copper has a polished mirror-like appearance. It is generally used for flexible circuitry. Electrodeposited foil is created by electrodeposition of copper onto an inert form, which is generally a rolling titanium or steel drum. A thin layer of copper is continuously removed from the form and then bonded to a substrate [].

Oxidation of copper traces is the primary cause of copper bond failure over time. The copper traces oxidize on both sides (top and bottom) of the trace. The diffusion of oxygen in the substrate material causes the bottom side of the trace to oxidize. Continuous ambient temperatures above 250 F will ultimately degrade the copper bonds on the surface of the board. The most effective way to mitigate this oxidation is to use an effective high temperature conformal coating. This coating will provide a barrier between the air and the surface of the resin and copper traces [].

The computation of characteristic impedance and losses of a microstrip transmission line (see Appendix C) depend on the copper foil thickness. The copper cladding is not generally presented as a thickness, but is indirectly derived from a provided mass over a given area. In Table ]. Thinner copper traces have smaller etching undercut than thicker traces. This allows for fine (narrow) traces as compared to thicker copper. Thicker copper has higher power handling capability. This is important where the small cross-section of a trace could produce heat build-up and eventual failure.

Table A.1 Metric copper foil mass and foil thickness

Foil mass/areaFoil thicknessTolerance
150 g/m218 m4.9 m
300 g/m234 m4.9 m
600 g/m270 m7.5 m
1200 g/m2104 m10.0 m

Table A.2 US copper foil weight and foil thickness

Foil weight/areaFoil thicknessTolerance
1/2 oz/ft20.0007 in0.0002 in
1 oz/ft20.0014 in0.0002 in
2 oz/ft20.0028 in0.0003 in
4 oz/ft20.0056 in0.0004 in

The surface roughness of copper can produce considerable loss at higher frequencies. The effect becomes significant when the skin depth of copper becomes less than or equal to the surface roughness of the copper cladding. Often a rough surface is used to improve the adhesion of the copper cladding to a dielectric substrate. The surface roughness of commonly available copper cladding is given in Table ].

Table A.3 Copper foil surface roughness

Type of claddingCopper surface roughness (RMS)
High-profile ED copper2400 nm
Standard ED copper1200 nm
Low-profile ED copper600 nm
Rolled annealed copper300 nm

The skin depth of copper for selected frequencies is given in Table ].

Table A.4 Skin depth for copper with frequency

Frequency (GHz)Skin depth (nanometers)
12063 nm
10652 nm
50292 nm
77235 nm
110197 nm
A.3 Dielectric materials

Dielectric substrates used to construct microstrip antennas (and radomes) may be grouped into plastics like fluoropolymers, such as Teflon [polytetrafluoroethylene (PTFE)] and cross-linked polystyrene (Rexolite 1422), ceramics, such as Al2O3 ( alumina) or silicon nitride Si3N4, and glasses, such as E-Glass, which are used in most Teflonfiberglass microwave substrates.

In some commercial applications, a planar antenna may be enclosed within an injection molded radome. The dielectric properties of the resins used are a very important consideration in an injection molded radome design. The resin should have known moisture absorption characteristics. Low moisture absorption is important in maintaining a stable resonance frequency and loss characteristics in environments which have humidity changes.

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