Dielectric Slab Waveguide – TE0 Mode
Symmetric slab, fields guided by total internal reflection.
Mode: TE0 | Effective index: ...
Electric Field (E) – Cross‑section (y=0)
Ey component (vertical).
Magnetic Field (H) – Cross‑section (y=0)
Hx component (horizontal).
E‑field in x‑z plane (y=0)
Ey (color) and longitudinal variation.
H‑field in x‑z plane (y=0)
Hx and Hz arrows.
📐 TE0 Field Equations
For |x| < d/2: Ey = E0 cos(κx) e-jβz, Hz ∝ sin(κx)
For |x| > d/2: Ey = E0 cos(κd/2) e-γ|x-d/2| e-jβz
κ = √(n1²k₀² - β²), γ = √(β² - n2²k₀²)
For |x| > d/2: Ey = E0 cos(κd/2) e-γ|x-d/2| e-jβz
κ = √(n1²k₀² - β²), γ = √(β² - n2²k₀²)
📝 Description & Applications
Dielectric waveguides form the basis of integrated optics and optical fibers. TE0 is the fundamental mode.
Applications: Fiber optics, integrated photonics, sensors.
Advantages: Low loss, small size.
Disadvantages: Dispersion, coupling challenges.
💡 Interview Questions
What is the condition for single‑mode operation in a slab waveguide?
Explain the concept of effective index.