# Technical Document Extraction: Subplot Analysis
## Subplot (a)
- **Title**: β = 15, γ = 65
- **Y-axis**: \( j_r \times 10^8 \)
- **X-axis**: \( r \) (0 to 1)
- **Data**: Smooth curve decreasing from ~8×10⁸ at \( r=0 \) to ~2×10⁸ at \( r=1 \), with a concave-up inflection near \( r=0.5 \).
## Subplot (b)
- **Title**: β = 15, γ = 65
- **Y-axis**: \( j_\theta \times 10^2 \)
- **X-axis**: \( r \) (0 to 1)
- **Data**: Smooth curve starting at ~-2×10² at \( r=0 \), peaking at ~2×10² near \( r=0.5 \), then declining to ~-2×10² at \( r=1 \).
## Subplot (c)
- **Title**: β = 15, γ = 65
- **Y-axis**: \( j_\phi \times 10^2 \)
- **X-axis**: \( r \) (0 to 1)
- **Data**: Smooth curve starting at 0 at \( r=0 \), dipping to ~-2×10² near \( r=0.5 \), then rising to ~2×10² at \( r=1 \).
## Subplot (d)
- **Title**: β = 20, γ = 200
- **Y-axis**: \( j_r \times 10^3 \)
- **X-axis**: \( r \) (0 to 1)
- **Data**: Nearly flat curve with a shallow concave-up shape, rising from ~0.5×10³ at \( r=0 \) to ~5×10³ at \( r=1 \).
## Subplot (e)
- **Title**: β = 20, γ = 200
- **Y-axis**: \( j_\theta \times 10^4 \)
- **X-axis**: \( r \) (0 to 1)
- **Data**: Nearly flat curve with a shallow concave-down shape, dipping from ~0.5×10⁴ at \( r=0 \) to ~-2×10⁴ at \( r=1 \).
## Subplot (f)
- **Title**: β = 20, γ = 200
- **Y-axis**: \( j_\phi \times 10^4 \)
- **X-axis**: \( r \) (0 to 1)
- **Data**: Nearly flat curve with a sharp concave-down drop, starting at ~0 at \( r=0 \), rising slightly to ~2×10⁴ near \( r=0.5 \), then plunging to ~-6×10⁴ at \( r=1 \).
## Key Observations
1. **Parameter Impact**:
- Higher β (20 vs. 15) and γ (200 vs. 65) correlate with increased magnitude in \( j_r \), \( j_\theta \), and \( j_\phi \).
- \( j_\phi \) exhibits the most dramatic change under higher γ (e.g., -6×10⁴ vs. -2×10²).
2. **Trend Consistency**:
- All \( j_r \) curves show monotonic or near-monotonic behavior.
- \( j_\theta \) and \( j_\phi \) exhibit oscillatory patterns, with amplitude scaling with γ.
3. **Scale Sensitivity**:
- \( j_r \) and \( j_\theta \) magnitudes increase by ~100× when β and γ double.
- \( j_\phi \) scales by ~30× under the same parameter changes.
