Microstrip lines with different strip width to height ratios. Consider a microstrip...

Microstrip lines with different strip width to height ratios. Consider a microstrip line with a copper strip and ground plane, dielectric substrate parameters , strip width w, and substrate thickness h = 2 mm,

and perform the following computations and analysis in MATLAB. Compute the primary and secondary circuit parameters of the line, taking into account the fringing effects, for the following w/h ratios: (a) 0.05, (b) 0.1, (c) 0.5, (d) 1, (e) 2, (f) 10, and (g) 20. (h) Compare the results in cases (d)–(g) with the corresponding values of circuit parameters of the line obtained neglecting the fringing effects (see MATLAB Exercise 9.10). (i) For cases (a)–(d), compare the results to

those obtained for a wire-plane transmission line (MATLAB Exercise 9.10) with the conducting strip in Fig.2.9(e) replaced by a thin wire of an equivalent radius equal to a = w/4. The results should be tabulated in a text file microstrip.txt. (ME9 18.m on IR) H

HINT:

Compute the effective relative permittivity, εreff, characteristic impedance, Z₀, and attenuation coefficients for conductors and dielectric, α_c and α_d, of the microstrip line for the given w/h ratios, cases (a)–(g), with the fringing effects taken into account – using functions epsrEffMicrostrip, microstripAnalysis, and alphaMicrostrip, from MATLAB Exercises 9.12, 9.13, and 9.15, respectively. The phase coefficient, β, phase velocity, v_p, and wavelength, λ_z, along the line can be calculated as in MATLAB Exercise 9.11. Then, combining Eqs.(9.18), (6.8), and (9.4), the per-unit-length capacitance and inductance

of the line can be found as and

Circuit parameters of the line in cases (d)–(g) neglecting the fringing effects can be obtained using GUI developed in MATLAB Exercise 9.10 or implementing the respective equations from that exercise.

Finally, the same GUI (or the corresponding equations) can be used to evaluate, for cases (a)– (d), circuit parameters of the wire-plane transmission line with a = w/4 and the entire half-space above the ground plane filled with the line dielectric. For MATLAB operations with a text file, see MATLAB Exercise 7.21.

Reference: Figure

Microstrip lines with different strip width to height ratios. Consider a microstrip line with a copper strip and ground plane, dielectric substrate parameters , strip width w, and substrate thickness h = 2 mm,

and perform the following computations and analysis in MATLAB. Compute the primary and secondary circuit parameters of the line, taking into account the fringing effects, for the following w/h ratios: (a) 0.05, (b) 0.1, (c) 0.5, (d) 1, (e) 2, (f) 10, and (g) 20. (h) Compare the results in cases (d)–(g) with the corresponding values of circuit parameters of the line obtained neglecting the fringing effects (see MATLAB Exercise 9.10). (i) For cases (a)–(d), compare the results to

those obtained for a wire-plane transmission line (MATLAB Exercise 9.10) with the conducting strip in Fig.2.9(e) replaced by a thin wire of an equivalent radius equal to a = w/4. The results should be tabulated in a text file microstrip.txt. (ME9 18.m on IR) H

HINT:

Compute the effective relative permittivity, εreff, characteristic impedance, Z₀, and attenuation coefficients for conductors and dielectric, α_c and α_d, of the microstrip line for the given w/h ratios, cases (a)–(g), with the fringing effects taken into account – using functions epsrEffMicrostrip, microstripAnalysis, and alphaMicrostrip, from MATLAB Exercises 9.12, 9.13, and 9.15, respectively. The phase coefficient, β, phase velocity, v_p, and wavelength, λ_z, along the line can be calculated as in MATLAB Exercise 9.11. Then, combining Eqs.(9.18), (6.8), and (9.4), the per-unit-length capacitance and inductance

of the line can be found as

Circuit parameters of the line in cases (d)–(g) neglecting the fringing effects can be obtained using GUI developed in MATLAB Exercise 9.10 or implementing the respective equations from that exercise.

Finally, the same GUI (or the corresponding equations) can be used to evaluate, for cases (a)– (d), circuit parameters of the wire-plane transmission line with a = w/4 and the entire half-space above the ground plane filled with the line dielectric. For MATLAB operations with a text file, see MATLAB Exercise 7.21.

Reference: Figure