2. A perpendicularly polarized wave impinges from medium 1 (μo, 4ɛ) to medium 2 (μo, 3ɛo). Medium 11 45° X Medium 2 Z (a) What is the critical angle? (b) Let the incident angle be 45° and assume Ē¹ is 1-polarization and E= 1 [V/m]. Find the transmitted fields Ē' and Ħ¹. Express all quantities in terms of k. (= ωγμε).
2. A perpendicularly polarized wave impinges from medium 1 (μo, 4ɛ) to medium 2 (μo, 3ɛo). Medium 11 45° X Medium 2 Z (a) What is the critical angle? (b) Let the incident angle be 45° and assume Ē¹ is 1-polarization and E= 1 [V/m]. Find the transmitted fields Ē' and Ħ¹. Express all quantities in terms of k. (= ωγμε).
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![**Problem Description:**
2. A perpendicularly polarized wave impinges from medium 1 \((\mu_o, 4\varepsilon_o)\) to medium 2 \((\mu_o, 3\varepsilon_o)\).
**Diagram Explanation:**
- The diagram shows two media separated by a vertical boundary, labeled Medium 1 and Medium 2.
- The x-axis is vertical, and the z-axis is horizontal, extending into Medium 2.
- An incident wave approaches the boundary from Medium 1 at a 45° angle to the normal (which is perpendicular to the boundary).
**Questions:**
(a) What is the critical angle?
(b) Let the incident angle be 45° and assume \( \vec{E}^i \) is \(\perp\)-polarization and \( E_o = 1 \, [\text{V/m}] \). Find the transmitted fields \( \vec{E}^t \) and \( \vec{H}^t \). Express all quantities in terms of \( k_o \) \((= \omega \sqrt{\mu_o \varepsilon_o})\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3af11e6a-2a61-4302-a4ee-f3c4efdfe331%2F81eaa426-181c-4515-9eef-9ff4efaac641%2Fjwla6zi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
2. A perpendicularly polarized wave impinges from medium 1 \((\mu_o, 4\varepsilon_o)\) to medium 2 \((\mu_o, 3\varepsilon_o)\).
**Diagram Explanation:**
- The diagram shows two media separated by a vertical boundary, labeled Medium 1 and Medium 2.
- The x-axis is vertical, and the z-axis is horizontal, extending into Medium 2.
- An incident wave approaches the boundary from Medium 1 at a 45° angle to the normal (which is perpendicular to the boundary).
**Questions:**
(a) What is the critical angle?
(b) Let the incident angle be 45° and assume \( \vec{E}^i \) is \(\perp\)-polarization and \( E_o = 1 \, [\text{V/m}] \). Find the transmitted fields \( \vec{E}^t \) and \( \vec{H}^t \). Express all quantities in terms of \( k_o \) \((= \omega \sqrt{\mu_o \varepsilon_o})\).
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