(Oblique Incidence) In the medium 1 (z0). In this case, the relative permittivity and relative permittivity of each medium are upsilon_r1=1,mu_r1=1, and upsilon_r2=25,mu_r2=1, respectively. If the operating frequency is 100[MHz] and the incident angle is theta_i= 40°, answer the following question. (Assume that all media are ideal media without loss.) (a) What are the wave numbers (k1, k2) in area 1 and area 2 respectively? (b) What is the angle of the transmission wave? (c) Find the intrinsic impedance of eta_1 and eta_2 in each area, and use them to find the reflection coefficient, gamma. (d) Express the incident waves (electric and magnetic fields) using the information obtained above by means of a phasor form and a time-domain expression. (e) Express the transmission wave (electric field and magnetic field) using the information obtained above in terms of the phasor form and time-domain expression.
(Oblique Incidence) In the medium 1 (z0). In this case, the relative permittivity and relative permittivity of each medium are upsilon_r1=1,mu_r1=1, and upsilon_r2=25,mu_r2=1, respectively. If the operating frequency is 100[MHz] and the incident angle is theta_i= 40°, answer the following question. (Assume that all media are ideal media without loss.) (a) What are the wave numbers (k1, k2) in area 1 and area 2 respectively? (b) What is the angle of the transmission wave? (c) Find the intrinsic impedance of eta_1 and eta_2 in each area, and use them to find the reflection coefficient, gamma. (d) Express the incident waves (electric and magnetic fields) using the information obtained above by means of a phasor form and a time-domain expression. (e) Express the transmission wave (electric field and magnetic field) using the information obtained above in terms of the phasor form and time-domain expression.
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1. (Oblique Incidence) In the medium 1 (z0).
In this case, the relative permittivity and relative permittivity of each medium are upsilon_r1=1,mu_r1=1, and upsilon_r2=25,mu_r2=1, respectively. If the operating frequency is 100[MHz] and the incident angle is theta_i= 40°, answer the following question. (Assume that all media are ideal media without loss.)
(a) What are the wave numbers (k1, k2) in area 1 and area 2 respectively?
(b) What is the angle of the transmission wave?
(c) Find the intrinsic impedance of eta_1 and eta_2 in each area, and use them to find the reflection coefficient, gamma.
(d) Express the incident waves (electric and magnetic fields) using the information obtained above by means of a phasor form and a time-domain expression.
(e) Express the transmission wave (electric field and magnetic field) using the information obtained above in terms of the phasor form and time-domain expression.
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