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-# Tesla Coil Spark Course - Image Requirements
-
-This document lists all images needed for the interactive lesson application, organized by section. Each entry includes specifications for creation.
-
-**Total Images Required: 45+**
-
-## Current Status (Updated 2025-10-10)
-
-**Images Complete: 37 / 45+**
-
-| Status | Count | Description |
-|--------|-------|-------------|
-| ✓ Generated (matplotlib) | 22 | High-quality programmatically generated graphs, plots, tables |
-| ⚠ Placeholder | 15 | Placeholders created with descriptions for manual creation |
-| ❌ Specification Only | 7 | Circuit diagrams - see CIRCUIT-SPECIFICATIONS.md |
-| ➖ Optional/Future | 1 | Nice-to-have images for future enhancement |
-
-### Generated Images (22)
-- **Fundamentals (4):** complex-plane-admittance, phase-angle-visualization, phase-constraint-graph, admittance-vector-addition
-- **Optimization (4):** power-vs-resistance-curves, frequency-shift-with-loading, drsstc-operating-modes, loaded-pole-analysis
-- **Spark Physics (6):** energy-budget-breakdown, epsilon-by-mode-comparison, thermal-diffusion-vs-diameter, voltage-division-vs-length-plot, length-vs-energy-scaling, qcw-vs-burst-timeline
-- **Advanced Modeling (7):** capacitance-matrix-heatmap, resistance-taper-initialization, power-distribution-along-spark, current-attenuation-plot, lumped-vs-distributed-comparison, position-dependent-bounds, validation-total-resistance
-- **Shared (1):** complex-number-review
-
-### Manual Creation Required
-- **Circuit Diagrams (7):** See CIRCUIT-SPECIFICATIONS.md for detailed specs
-- **FEMM Screenshots (5):** Require professional electrostatic simulations
-- **Photography (3):** High-speed photography of actual sparks
-- **Complex Diagrams (7):** Flowcharts, feedback loops, etc.
-
-**Scripts:**
-- `generate_images.py` - Generates all 22 matplotlib images
-- `generate_placeholders.py` - Creates 15 placeholder images with specs
-- Both scripts are rerunnable and include documentation
-
-### Quick Status Reference
-
-| Image # | Name | Status |
-|---------|------|--------|
-| 1 | field-lines-capacitances | ⚠ Placeholder (FEMM) |
-| 2 | geometry-to-circuit | ❌ Circuit Spec |
-| 3 | complex-plane-admittance | ✓ Generated |
-| 4 | phase-angle-visualization | ✓ Generated |
-| 5 | phase-constraint-graph | ✓ Generated |
-| 6 | current-paths-diagram | ❌ Circuit Spec |
-| 7 | admittance-vector-addition | ✓ Generated |
-| 8 | impedance-matching-concept | ⚠ Placeholder (Diagram) |
-| 9 | power-vs-resistance-curves | ✓ Generated |
-| 10 | hungry-streamer-feedback-loop | ⚠ Placeholder (Diagram) |
-| 11 | thevenin-measurement-setup | ⚠ Placeholder (Diagram) |
-| 12 | thevenin-equivalent-circuit | ❌ Circuit Spec |
-| 13 | frequency-shift-with-loading | ✓ Generated |
-| 14 | drsstc-operating-modes | ✓ Generated |
-| 15 | loaded-pole-analysis | ✓ Generated |
-| 16 | electric-field-enhancement | ⚠ Placeholder (FEMM) |
-| 17 | femm-field-plot-example | ⚠ Placeholder (FEMM) |
-| 18 | energy-budget-breakdown | ✓ Generated |
-| 19 | epsilon-by-mode-comparison | ✓ Generated |
-| 20 | thermal-diffusion-vs-diameter | ✓ Generated |
-| 21 | spark-channel-persistence-sequence | ⚠ Placeholder (Photo) |
-| 22 | streamers-vs-leaders-photos | ⚠ Placeholder (Photo) |
-| 23 | streamer-to-leader-transition-sequence | ⚠ Placeholder (Photo/Diagram) |
-| 24 | voltage-division-vs-length-plot | ✓ Generated |
-| 25 | capacitive-divider-circuit | ❌ Circuit Spec |
-| 26 | length-vs-energy-scaling | ✓ Generated |
-| 27 | qcw-vs-burst-timeline | ✓ Generated |
-| 28 | lumped-model-schematic | ❌ Circuit Spec |
-| 29 | femm-geometry-setup-lumped | ⚠ Placeholder (FEMM) |
-| 30 | maxwell-matrix-extraction | ⚠ Placeholder (Diagram) |
-| 31 | lumped-model-validation-checks | ⚠ Placeholder (Diagram) |
-| 32 | distributed-model-structure | ❌ Circuit Spec |
-| 33 | femm-geometry-setup-distributed | ⚠ Placeholder (FEMM) |
-| 34 | capacitance-matrix-heatmap | ✓ Generated |
-| 35 | partial-capacitance-transformation | ⚠ Placeholder (Diagram) |
-| 36 | resistance-taper-initialization | ✓ Generated |
-| 37 | iterative-optimization-convergence | ⚠ Placeholder (Diagram) |
-| 38 | power-distribution-along-spark | ✓ Generated |
-| 39 | current-attenuation-plot | ✓ Generated |
-| 40 | lumped-vs-distributed-comparison | ✓ Generated |
-| 41 | position-dependent-bounds | ✓ Generated |
-| 42 | spice-implementation-methods | ⚠ Placeholder (Diagram) |
-| 43 | validation-total-resistance | ✓ Generated |
-| 44 | tesla-coil-system-overview | ❌ Circuit Spec |
-| 45 | complex-number-review | ✓ Generated |
-
----
-
-## Part 1: Fundamentals (8 images)
-
-### 1. **field-lines-capacitances.png**
-**Location:** `lessons/01-fundamentals/assets/`
-**Referenced in:** fund-02 (Basic Circuit Model)
-
-**Description:**
-3D visualization showing electric field lines between topload (spherical or toroidal) and a cylindrical spark channel.
-
-**Details:**
-- Show field lines for two cases side-by-side:
-  - **Left**: C_mut field lines (coupling between topload and spark)
-  - **Right**: C_sh field lines (spark to ground plane)
-- Use different colors: Blue for C_mut, Red for C_sh
-- Label key features: topload, spark channel, ground plane
-- Add dimension arrows showing spark length
-- Include legend with typical values (C_mut ~ 8 pF, C_sh ~ 6 pF for 3-foot spark)
-
-**Suggested Format:** PNG, 1200x600 px, high contrast for dark/light mode
-
----
-
-### 2. **geometry-to-circuit.png**
-**Location:** `lessons/01-fundamentals/assets/`
-**Referenced in:** fund-02 (Basic Circuit Model)
-
-**Description:**
-Side-by-side comparison showing physical geometry translating to circuit schematic.
-
-**Details:**
-- **Left side**: 3D rendering of topload with spark
-  - Toroid or sphere topload
-  - Cylindrical spark extending downward
-  - Ground plane at bottom
-  - Arrows indicating the two capacitive paths
-
-- **Right side**: Circuit schematic
-  - Topload node at top
-  - (R || C_mut) in series with C_sh to ground
-  - Clear node labels
-  - Component values shown
-
-**Suggested Format:** PNG, 1400x700 px
-
----
-
-### 3. **complex-plane-admittance.png**
-**Location:** `lessons/01-fundamentals/assets/`
-**Referenced in:** fund-03 (Admittance Analysis)
-
-**Description:**
-Complex plane plots showing Y and Z phasors.
-
-**Details:**
-- Two complex planes side-by-side:
-  - **Left**: Admittance (Y) plane with Re{Y} horizontal, Im{Y} vertical
-  - **Right**: Impedance (Z) plane with Re{Z} horizontal, Im{Z} vertical
-- Show example phasor on each: Y = 10 + j15 mS, Z = 30 - j45 Ω
-- Mark angles θ_Y and φ_Z
-- Show relationship φ_Z = -θ_Y with arrows
-- Use grid lines for readability
-- Color code: Conductance/Resistance (blue), Susceptance/Reactance (red)
-
-**Suggested Format:** PNG, 1200x600 px
-
----
-
-### 4. **phase-angle-visualization.png**
-**Location:** `lessons/01-fundamentals/assets/`
-**Referenced in:** fund-04 (Phase Angles)
-
-**Description:**
-Impedance phasors showing different phase angles and their meanings.
-
-**Details:**
-- Show 5 impedance phasors on single complex plane:
-  1. Pure resistive (φ = 0°)
-  2. Slightly capacitive (φ = -30°)
-  3. Balanced (φ = -45°)
-  4. More capacitive (φ = -60°)
-  5. Highly capacitive (φ = -75°)
-- Label each with physical interpretation
-- Highlight -45° as "theoretical matched" with note: "Often impossible for Tesla coils"
-- Show typical spark range (-55° to -75°) as shaded region
-- Include power factor values for each
-
-**Suggested Format:** PNG, 1000x800 px
-
----
-
-### 5. **phase-constraint-graph.png**
-**Location:** `lessons/01-fundamentals/assets/`
-**Referenced in:** fund-05 (Phase Constraint)
-
-**Description:**
-Graph of minimum achievable phase angle vs capacitance ratio.
-
-**Details:**
-- X-axis: r = C_mut/C_sh (0 to 3)
-- Y-axis: φ_Z,min (degrees, 0° to -90°)
-- Plot curve: φ_Z,min = -atan(2√[r(1+r)])
-- Mark critical point r = 0.207 where φ_Z,min = -45°
-- Shade "impossible region" above curve
-- Add horizontal line at -45° with label "Traditional 'matched' target"
-- Mark typical Tesla coil region (r = 0.5 to 2.0)
-- Include annotations for geometric examples
-
-**Suggested Format:** PNG, 1000x700 px
-
----
-
-### 6. **current-paths-diagram.png**
-**Location:** `lessons/01-fundamentals/assets/`
-**Referenced in:** fund-07 (Measurement Port)
-
-**Description:**
-Complete Tesla coil diagram showing all current paths.
-
-**Details:**
-- Full coil schematic: primary, secondary, topload, spark
-- Show and label ALL current paths:
-  1. I_spark (through spark resistance)
-  2. I_displacement (topload to ground capacitance)
-  3. I_coupling (primary to secondary capacitive coupling)
-  4. I_secondary_sections (distributed capacitance to ground)
-  5. I_base (total current at base)
-- Use different colors/line styles for each current path
-- Show I_base = I_spark + I_displacement + I_coupling + ...
-- Highlight correct measurement port (topload-to-ground)
-- Mark incorrect measurement location (I_base) with X
-
-**Suggested Format:** PNG, 1000x1200 px (vertical)
-
----
-
-### 7. **admittance-vector-addition.png**
-**Location:** `lessons/01-fundamentals/assets/`
-**Referenced in:** fund-03 (Admittance Analysis)
-
-**Description:**
-Vector diagram showing parallel admittance addition.
-
-**Details:**
-- Show two branches: Y₁ = G + jB₁ and Y₂ = jB₂
-- Vector addition: Y_total = Y₁ + Y₂
-- Graphical parallelogram method
-- Label Re{Y} and Im{Y} components
-- Show how parallel combination differs from series
-
-**Suggested Format:** PNG, 800x600 px
-
----
-
-### 8. **impedance-matching-concept.png**
-**Location:** `lessons/01-fundamentals/assets/`
-**Referenced in:** fund-06 (Why Not 45 Degrees)
-
-**Description:**
-Conceptual diagram comparing ideal vs. constrained matching.
-
-**Details:**
-- Show two scenarios side-by-side:
-  - **Ideal**: Load impedance can be anywhere (full circle), conjugate match achievable
-  - **Constrained**: Load impedance confined to sector (Tesla coil reality)
-- Highlight φ_Z,min boundary
-- Mark R_opt_power and R_opt_phase locations
-- Show -45° target outside feasible region
-
-**Suggested Format:** PNG, 1200x600 px
-
----
-
-## Part 2: Optimization (7 images)
-
-### 9. **power-vs-resistance-curves.png**
-**Location:** `lessons/02-optimization/assets/`
-**Referenced in:** opt-01 (Two Resistances)
-
-**Description:**
-Graph of power delivered vs. resistance, showing both optimal points.
-
-**Details:**
-- X-axis: Resistance R (log scale, 1 kΩ to 10 MΩ)
-- Y-axis: Power delivered P (kW)
-- Plot P(R) curve with clear peak at R_opt_power
-- Mark R_opt_power with vertical line and label
-- Mark R_opt_phase with different vertical line
-- Show phase angle φ_Z(R) on secondary Y-axis
-- Annotate: "R_opt_power maximizes power" and "R_opt_phase minimizes |φ_Z|"
-- Include typical values: R_opt_power ~ 60 kΩ, R_opt_phase ~ 100 kΩ
-
-**Suggested Format:** PNG, 1200x800 px
-
----
-
-### 10. **hungry-streamer-feedback-loop.png**
-**Location:** `lessons/02-optimization/assets/`
-**Referenced in:** opt-02 (Hungry Streamer)
-
-**Description:**
-Feedback loop diagram showing self-optimization mechanism.
-
-**Details:**
-- Circular diagram with 6 steps:
-  1. More power → Joule heating (I²R)
-  2. Higher temperature → thermal ionization
-  3. Increased n_e → higher conductivity
-  4. Lower R → closer to R_opt
-  5. Better matching → more power extracted
-  6. Loop back to step 1
-- Use arrows showing flow
-- Add constraint boxes: R_min, R_max, source limits
-- Show equilibrium point: R_actual ≈ R_opt_power
-- Color code: Power (red), Temperature (orange), Conductivity (blue)
-
-**Suggested Format:** PNG, 1000x1000 px
-
----
-
-### 11. **thevenin-measurement-setup.png**
-**Location:** `lessons/02-optimization/assets/`
-**Referenced in:** opt-03 (Thévenin Method)
-
-**Description:**
-Two diagrams showing Z_th and V_th measurement procedures.
-
-**Details:**
-- **Top**: Z_th measurement
-  - Tesla coil circuit with primary drive OFF
-  - 1V AC test source at topload
-  - Current measurement arrow
-  - Labels: "Drive OFF", "Measure I_test", "Z_th = 1V / I_test"
-
-- **Bottom**: V_th measurement
-  - Tesla coil circuit with primary drive ON
-  - No load (open circuit at topload)
-  - Voltage measurement
-  - Labels: "Drive ON", "No spark load", "Measure V_th"
-
-**Suggested Format:** PNG, 1000x1000 px (vertical)
-
----
-
-### 12. **thevenin-equivalent-circuit.png**
-**Location:** `lessons/02-optimization/assets/`
-**Referenced in:** opt-04 (Thévenin Calculations)
-
-**Description:**
-Thévenin equivalent with spark load.
-
-**Details:**
-- Simple circuit: V_th source → Z_th → Z_spark (load)
-- Show voltage divider relationship
-- Label currents and voltages
-- Add power formula: P = 0.5|V_th|²Re{Z_spark}/|Z_th+Z_spark|²
-- Show typical values: Z_th ~ 100 - j2400 Ω, V_th ~ 350 kV
-
-**Suggested Format:** PNG, 800x600 px
-
----
-
-### 13. **frequency-shift-with-loading.png**
-**Location:** `lessons/02-optimization/assets/`
-**Referenced in:** opt-06 (Frequency Tracking)
-
-**Description:**
-Graph showing resonant frequency shift as spark grows.
-
-**Details:**
-- X-axis: Spark length (meters, 0 to 3)
-- Y-axis: Resonant frequency (kHz)
-- Plot two curves:
-  - Lower pole frequency (decreasing with length)
-  - Upper pole frequency (increasing slightly with length)
-- Mark unloaded resonance f₀
-- Show C_sh increasing annotation (~ 2 pF/foot)
-- Typical shift: 200 kHz → 175 kHz for 2 m spark
-- Color code poles, add labels
-
-**Suggested Format:** PNG, 1000x700 px
-
----
-
-### 14. **drsstc-operating-modes.png**
-**Location:** `lessons/02-optimization/assets/`
-**Referenced in:** opt-06 (Frequency Tracking)
-
-**Description:**
-Three timing diagrams showing different DRSSTC operating modes.
-
-**Details:**
-- Three horizontal timelines:
-  1. **Fixed frequency**: Square wave, constant frequency despite loading
-  2. **PLL tracking**: Frequency adjusts as spark grows (show freq change)
-  3. **Programmed sweep**: Frequency follows predetermined curve
-- X-axis: Time (ms)
-- Y-axis: Frequency or voltage
-- Show spark growth underneath each
-- Annotate pros/cons for each mode
-- Color code drive signal (blue), actual resonance (red)
-
-**Suggested Format:** PNG, 1200x800 px
-
----
-
-### 15. **loaded-pole-analysis.png**
-**Location:** `lessons/02-optimization/assets/`
-**Referenced in:** opt-06 (Frequency Tracking)
-
-**Description:**
-Frequency domain showing coupled resonances.
-
-**Details:**
-- X-axis: Frequency (kHz, 150-250)
-- Y-axis: |V_topload| (kV)
-- Plot transfer function showing two poles (peaks)
-- Show unloaded case (sharp peaks)
-- Overlay loaded case (broader, shifted peaks)
-- Mark operating frequency choices
-- Annotate: "Wrong: operate at fixed f₀", "Right: track loaded pole"
-
-**Suggested Format:** PNG, 1000x700 px
-
----
-
-## Part 3: Spark Physics (12 images)
-
-### 16. **electric-field-enhancement.png**
-**Location:** `lessons/03-spark-physics/assets/`
-**Referenced in:** phys-01 (Field Thresholds)
-
-**Description:**
-Field enhancement at spark tip vs. average field.
-
-**Details:**
-- Two side-by-side field plots from FEMM:
-  - **Left**: Smooth topload (no spark), showing E_average
-  - **Right**: With spark tip, showing E_tip with enhancement
-- Color gradient showing field magnitude
-- Mark E_tip location with annotation: κ × E_average
-- Show tip enhancement factor κ ≈ 2-5
-- Include scale bar and values
-
-**Suggested Format:** PNG, 1400x700 px
-
----
-
-### 17. **femm-field-plot-example.png**
-**Location:** `lessons/03-spark-physics/assets/`
-**Referenced in:** phys-02 (Voltage Limits)
-
-**Description:**
-FEMM electrostatic solution showing field distribution.
-
-**Details:**
-- Complete FEMM simulation output
-- Toroid topload at 350 kV
-- 2-meter spark extending down
-- Color-coded field magnitude (rainbow scale)
-- Equipotential lines overlaid
-- Ground plane at bottom
-- Field values annotated at key points
-- Show E_propagation threshold line (e.g., 0.5 MV/m)
-
-**Suggested Format:** PNG, 800x1200 px (vertical)
-
----
-
-### 18. **energy-budget-breakdown.png**
-**Location:** `lessons/03-spark-physics/assets/`
-**Referenced in:** phys-03 (Energy Per Meter)
-
-**Description:**
-Pie chart showing energy distribution per meter of spark.
-
-**Details:**
-- Pie chart with segments for:
-  - Ionization energy (40-50%)
-  - Channel heating (20-30%)
-  - Radiation losses (10-20%)
-  - Shock wave / acoustic (5-10%)
-  - Electrohydrodynamic work (5-10%)
-- Label each segment with percentage
-- Note total ε = 10 J/m (QCW example)
-- Include annotation: "Minimum theoretical: ~0.5 J/m"
-
-**Suggested Format:** PNG, 800x800 px
-
----
-
-### 19. **epsilon-by-mode-comparison.png**
-**Location:** `lessons/03-spark-physics/assets/`
-**Referenced in:** phys-04 (Empirical Epsilon)
-
-**Description:**
-Bar chart comparing ε values by operating mode.
-
-**Details:**
-- X-axis: Operating mode (QCW, Hybrid DRSSTC, Hard-pulsed Burst)
-- Y-axis: ε (J/m), log scale, 1-100
-- Three bars with error ranges:
-  - QCW: 5-15 J/m (green, efficient)
-  - Hybrid: 20-40 J/m (yellow, moderate)
-  - Burst: 30-100+ J/m (red, inefficient)
-- Annotate physical reasons (leader vs streamer dominance)
-- Include photos/sketches of typical spark appearance for each
-
-**Suggested Format:** PNG, 1200x800 px
-
----
-
-### 20. **thermal-diffusion-vs-diameter.png**
-**Location:** `lessons/03-spark-physics/assets/`
-**Referenced in:** phys-05 (Thermal Memory)
-
-**Description:**
-Graph of thermal time constant vs. channel diameter.
-
-**Details:**
-- X-axis: Channel diameter d (μm to cm, log scale)
-- Y-axis: Thermal time constant τ (ms, log scale)
-- Plot curve: τ = d²/(4α)
-- Mark key points:
-  - d = 100 μm → τ ~ 0.1 ms (streamer)
-  - d = 1 mm → τ ~ 12 ms
-  - d = 5 mm → τ ~ 300 ms (leader)
-- Shade regions: "Streamer regime", "Leader regime"
-- Add annotation for convection effects (longer persistence)
-
-**Suggested Format:** PNG, 1000x700 px
-
----
-
-### 21. **spark-channel-persistence-sequence.png**
-**Location:** `lessons/03-spark-physics/assets/`
-**Referenced in:** phys-05 (Thermal Memory)
-
-**Description:**
-Time-lapse sequence showing channel cooling.
-
-**Details:**
-- 5-6 frames showing spark channel over time:
-  - t = 0 ms: Bright, hot channel
-  - t = 1 ms: Still visible
-  - t = 5 ms: Fading
-  - t = 20 ms: Nearly gone (streamer)
-  - t = 100 ms: Completely dissipated (streamer) OR still visible (leader)
-- Use false color to show temperature
-- Label each frame with time and approximate temperature
-- Show two tracks: thin streamer vs thick leader
-
-**Suggested Format:** PNG, 1500x600 px
-
----
-
-### 22. **streamers-vs-leaders-photos.png**
-**Location:** `lessons/03-spark-physics/assets/`
-**Referenced in:** phys-06 (Streamers vs Leaders)
-
-**Description:**
-High-speed photography comparing streamer and leader appearance.
-
-**Details:**
-- Two photos side-by-side or top/bottom:
-  - **Top**: Burst mode - purple/blue, highly branched streamers
-  - **Bottom**: QCW mode - white/orange, thick straight leaders
-- Same scale for size comparison
-- Annotations pointing out:
-  - Branch density
-  - Channel diameter
-  - Color differences
-  - Straightness vs. branching
-- Include camera settings and coil parameters
-
-**Suggested Format:** PNG, 1200x1000 px
-
----
-
-### 23. **streamer-to-leader-transition-sequence.png**
-**Location:** `lessons/03-spark-physics/assets/`
-**Referenced in:** phys-06 (Streamers vs Leaders)
-
-**Description:**
-6-step diagram showing transition mechanism.
-
-**Details:**
-- Six sequential panels showing evolution:
-  1. Initial streamers (thin, branched, purple)
-  2. Current begins flowing (heat accumulation)
-  3. Channel heating (color shift to blue-white)
-  4. Leader forms at base (thick, bright)
-  5. Leader propagates (tip launches new streamers)
-  6. Full leader with streamer corona at tip
-- Arrows showing progression
-- Temperature scale on side (1000 K → 20000 K)
-- Time scale (μs → ms)
-
-**Suggested Format:** PNG, 1500x1000 px
-
----
-
-### 24. **voltage-division-vs-length-plot.png**
-**Location:** `lessons/03-spark-physics/assets/`
-**Referenced in:** phys-07 (Capacitive Divider)
-
-**Description:**
-Graph showing how V_tip decreases as spark grows.
-
-**Details:**
-- X-axis: Spark length L (meters, 0 to 3)
-- Y-axis: V_tip / V_topload (ratio, 0 to 1)
-- Plot curve: V_tip = V_topload × C_mut/(C_mut + C_sh(L))
-- Show C_sh increasing linearly with L
-- Mark where E_tip = E_propagation (growth stalls)
-- Annotate: "Sub-linear scaling"
-- Include typical values: C_mut = 10 pF, C_sh = 6.6 pF/m
-
-**Suggested Format:** PNG, 1000x700 px
-
----
-
-### 25. **capacitive-divider-circuit.png**
-**Location:** `lessons/03-spark-physics/assets/`
-**Referenced in:** phys-07 (Capacitive Divider)
-
-**Description:**
-Circuit diagram showing voltage division.
-
-**Details:**
-- Vertical stack:
-  - V_topload at top
-  - C_mut (with R in parallel)
-  - V_tip at junction
-  - C_sh to ground
-- Show voltage divider formula
-- Annotate how C_sh grows with length
-- Include example calculation
-
-**Suggested Format:** PNG, 600x800 px (vertical)
-
----
-
-### 26. **length-vs-energy-scaling.png**
-**Location:** `lessons/03-spark-physics/assets/`
-**Referenced in:** phys-08 (Freau Relationship)
-
-**Description:**
-Log-log plot showing L vs E scaling for different modes.
-
-**Details:**
-- X-axis: Energy E (Joules, log scale, 1 to 1000)
-- Y-axis: Spark length L (meters, log scale, 0.1 to 10)
-- Plot three curves:
-  - Burst mode: L ∝ √E (slope = 0.5)
-  - QCW ramp: L ∝ E^0.7 (slope = 0.7)
-  - Ideal linear: L ∝ E (slope = 1.0, dashed reference)
-- Label each with operating mode
-- Add data points from real measurements
-- Annotate physical reasons for sub-linear scaling
-
-**Suggested Format:** PNG, 1000x800 px
-
----
-
-### 27. **qcw-vs-burst-timeline.png**
-**Location:** `lessons/03-spark-physics/assets/`
-**Referenced in:** phys-05, phys-08
-
-**Description:**
-Side-by-side timing diagrams comparing QCW and burst operation.
-
-**Details:**
-- Two horizontal timelines:
-  - **Top**: QCW (10-20 ms ramp)
-    - Power gradually increasing
-    - Spark length growing continuously
-    - Channel staying hot throughout
-  - **Bottom**: Burst mode (100-500 μs pulse)
-    - High peak power
-    - Short growth window
-    - Channel cools between pulses
-- Show power, length, temperature on each
-- Annotate key differences
-- Time scale in ms
-
-**Suggested Format:** PNG, 1400x800 px
-
----
-
-## Part 4: Advanced Modeling (16 images)
-
-### 28. **lumped-model-schematic.png**
-**Location:** `lessons/04-advanced-modeling/assets/`
-**Referenced in:** model-01 (Lumped Model)
-
-**Description:**
-Clean circuit schematic of lumped spark model.
-
-**Details:**
-- Three-terminal network:
-  - Topload (input port)
-  - Spark tip (internal node)
-  - Ground (reference)
-- Components clearly shown:
-  - C_mut between topload and spark tip
-  - R between topload and spark tip (parallel with C_mut)
-  - C_sh from spark tip to ground
-- Add node labels and component values
-- Show integration with full coil circuit (secondary, etc.)
-
-**Suggested Format:** PNG, 1000x600 px
-
----
-
-### 29. **femm-geometry-setup-lumped.png**
-**Location:** `lessons/04-advanced-modeling/assets/`
-**Referenced in:** model-02 (FEMM Extraction Lumped)
-
-**Description:**
-FEMM geometry window showing setup for lumped model.
-
-**Details:**
-- Axisymmetric geometry:
-  - Toroidal topload (cross-section shown)
-  - Single cylindrical spark segment
-  - Ground plane
-  - Outer boundary
-- Materials labeled (air, perfect conductor)
-- Dimensions annotated
-- Boundary conditions marked
-- Mesh visible (not too dense, showing structure)
-
-**Suggested Format:** PNG, 800x1000 px (vertical)
-
----
-
-### 30. **maxwell-matrix-extraction.png**
-**Location:** `lessons/04-advanced-modeling/assets/`
-**Referenced in:** model-02 (FEMM Extraction Lumped)
-
-**Description:**
-Diagram showing Maxwell matrix extraction process.
-
-**Details:**
-- FEMM capacitance matrix output (2×2):
-  ```
-  [C_11  C_12]
-  [C_21  C_22]
-  ```
-- Arrows showing extraction:
-  - C_mut = |C_12| = |C_21|
-  - C_sh = C_22 + C_12
-- Sign convention clearly explained
-- Example values shown
-- Visual representation of what each capacitance means (field lines)
-
-**Suggested Format:** PNG, 1000x700 px
-
----
-
-### 31. **lumped-model-validation-checks.png**
-**Location:** `lessons/04-advanced-modeling/assets/`
-**Referenced in:** model-02 (FEMM Extraction Lumped)
-
-**Description:**
-Flowchart of validation procedure.
-
-**Details:**
-- Decision tree format:
-  1. Check matrix symmetry → Pass/Fail
-  2. Check C_sh vs. empirical rule → Within factor 2?
-  3. Mesh convergence → Refine and recheck
-  4. Boundary distance → Far enough?
-  5. Calculate R_opt → Physical range?
-- Color code: Green (pass), Yellow (warning), Red (fail)
-- Include typical pass criteria
-
-**Suggested Format:** PNG, 800x1000 px (vertical)
-
----
-
-### 32. **distributed-model-structure.png**
-**Location:** `lessons/04-advanced-modeling/assets/`
-**Referenced in:** model-03 (Distributed Model)
-
-**Description:**
-Circuit diagram of nth-order distributed model.
-
-**Details:**
-- Vertical cascade of n segments (show n=5 for clarity):
-  - Topload at top
-  - Segment 1: [C_01][R_1][C_1,gnd]
-  - Segment 2: [C_12][R_2][C_2,gnd]
-  - ...
-  - Segment n: [C_n-1,n][R_n][C_n,gnd]
-- Show current direction arrows
-- Label voltage at each node (V_0, V_1, ..., V_n)
-- Add note: "Typically n = 5-20"
-- Highlight complexity vs. lumped model
-
-**Suggested Format:** PNG, 600x1200 px (vertical)
-
----
-
-### 33. **femm-geometry-setup-distributed.png**
-**Location:** `lessons/04-advanced-modeling/assets/`
-**Referenced in:** model-04 (FEMM Extraction Distributed)
-
-**Description:**
-FEMM geometry for distributed model with multiple segments.
-
-**Details:**
-- Axisymmetric view:
-  - Toroid topload
-  - 10 cylindrical segments stacked
-  - Each segment labeled (1-10)
-  - Ground plane
-  - Outer boundary
-- Show segment numbering
-- Equal length segments clearly visible
-- Dimensions annotated
-- Materials and boundaries labeled
-
-**Suggested Format:** PNG, 800x1200 px (vertical)
-
----
-
-### 34. **capacitance-matrix-heatmap.png**
-**Location:** `lessons/04-advanced-modeling/assets/`
-**Referenced in:** model-04 (FEMM Extraction Distributed)
-
-**Description:**
-Heatmap visualization of 11×11 capacitance matrix.
-
-**Details:**
-- Color-coded matrix (11 rows × 11 columns)
-- Diagonal elements (large positive) in red/yellow
-- Off-diagonal elements (smaller, some negative) in blue
-- Symmetry visible
-- Annotate:
-  - Row/column 0: Topload
-  - Rows/columns 1-10: Segments
-- Include colorbar with scale (pF)
-- Mark nearest-neighbor vs. distant coupling
-
-**Suggested Format:** PNG, 1000x1000 px
-
----
-
-### 35. **partial-capacitance-transformation.png**
-**Location:** `lessons/04-advanced-modeling/assets/`
-**Referenced in:** model-04 (FEMM Extraction Distributed)
-
-**Description:**
-Diagram showing Maxwell → Partial capacitance transformation.
-
-**Details:**
-- Two matrices side-by-side:
-  - **Left**: Maxwell matrix (with negative off-diagonals)
-  - **Right**: Partial capacitance matrix (all positive)
-- Arrows showing transformation formulas
-- Example for 3×3 case (easier to visualize)
-- Physical interpretation of partial capacitances
-- Note: "All SPICE capacitors must be positive"
-
-**Suggested Format:** PNG, 1400x700 px
-
----
-
-### 36. **resistance-taper-initialization.png**
-**Location:** `lessons/04-advanced-modeling/assets/`
-**Referenced in:** model-05 (Resistance Optimization)
-
-**Description:**
-Graph showing initial resistance distribution.
-
-**Details:**
-- X-axis: Position along spark (0 = base, 1 = tip)
-- Y-axis: Resistance R[i] (log scale, Ω)
-- Plot three curves:
-  - Uniform initialization (flat line, wrong)
-  - Linear taper (straight line, better)
-  - Quadratic taper (recommended, R = R_base + (R_tip - R_base)×pos²)
-- Shade physical bounds R_min(pos) and R_max(pos)
-- Mark typical values at base and tip
-
-**Suggested Format:** PNG, 1000x700 px
-
----
-
-### 37. **iterative-optimization-convergence.png**
-**Location:** `lessons/04-advanced-modeling/assets/`
-**Referenced in:** model-05 (Resistance Optimization)
-
-**Description:**
-Convergence plot showing resistance values over iterations.
-
-**Details:**
-- X-axis: Iteration number (0 to 5)
-- Y-axis: Resistance (log scale, kΩ to MΩ)
-- Multiple curves: one for each segment (10 total)
-- Show convergence:
-  - Base segments (fast, 1-2 iterations)
-  - Mid segments (moderate, 2-3 iterations)
-  - Tip segments (slow, 3-4 iterations or flat)
-- Horizontal lines showing convergence criteria (±1%)
-- Color code by position (gradient base → tip)
-
-**Suggested Format:** PNG, 1200x800 px
-
----
-
-### 38. **power-distribution-along-spark.png**
-**Location:** `lessons/04-advanced-modeling/assets/`
-**Referenced in:** model-05, model-06
-
-**Description:**
-Bar chart showing power dissipation per segment.
-
-**Details:**
-- X-axis: Segment number (1-10, base to tip)
-- Y-axis: Power dissipated (kW)
-- Bar chart with values decreasing from base to tip
-- Typical pattern: high at base, peak at segment 2-3, decay to tip
-- Annotate percentages (e.g., segment 3 = 38% of total)
-- Add cumulative line (reaching 100% at tip)
-- Include total power value
-
-**Suggested Format:** PNG, 1200x700 px
-
----
-
-### 39. **current-attenuation-plot.png**
-**Location:** `lessons/04-advanced-modeling/assets/`
-**Referenced in:** model-05, model-06
-
-**Description:**
-Graph of current magnitude along spark.
-
-**Details:**
-- X-axis: Position along spark (m, 0 to 2.5)
-- Y-axis: |I| / |I_base| (normalized current, 0 to 1)
-- Plot curve showing exponential-like decay
-- Mark segment boundaries
-- Typical values:
-  - Base: 100%
-  - Middle: 70%
-  - 3/4 point: 50%
-  - Tip: 35%
-- Include annotation about displacement current
-
-**Suggested Format:** PNG, 1000x700 px
-
----
-
-### 40. **lumped-vs-distributed-comparison.png**
-**Location:** `lessons/04-advanced-modeling/assets/`
-**Referenced in:** model-03, model-06
-
-**Description:**
-Table comparing lumped vs. distributed models.
-
-**Details:**
-- Two-column comparison table:
-  - **Lumped Model**:
-    - Single R, C_mut, C_sh
-    - Fast simulation (0.1 s)
-    - Good for <10 foot sparks
-    - Impedance matching studies
-  - **Distributed Model**:
-    - n segments (10-20)
-    - Slow simulation (100-200 s)
-    - Accurate for any length
-    - Spatial detail needed
-- Color code: Green (advantage), Yellow (neutral), Red (disadvantage)
-- Include "When to use each" decision guide
-
-**Suggested Format:** PNG, 1200x800 px
-
----
-
-### 41. **position-dependent-bounds.png**
-**Location:** `lessons/04-advanced-modeling/assets/`
-**Referenced in:** model-05 (Resistance Optimization)
-
-**Description:**
-Graph showing R_min and R_max vs position.
-
-**Details:**
-- X-axis: Position (0 = base, 1 = tip)
-- Y-axis: Resistance (log scale, Ω)
-- Two curves:
-  - R_min[i] = 1 kΩ + (10 kΩ - 1 kΩ) × position
-  - R_max[i] = 100 kΩ + (100 MΩ - 100 kΩ) × position²
-- Shade feasible region between curves
-- Plot typical optimized R distribution within region
-- Annotate physical meaning (hot leader at base, cold streamer at tip)
-
-**Suggested Format:** PNG, 1000x700 px
-
----
-
-### 42. **spice-implementation-methods.png**
-**Location:** `lessons/04-advanced-modeling/assets/`
-**Referenced in:** model-04 (FEMM Extraction Distributed)
-
-**Description:**
-Three circuit diagrams showing SPICE implementation options.
-
-**Details:**
-- Three side-by-side schematics:
-  1. **Partial capacitance**: All positive capacitors to ground
-  2. **Controlled sources**: VCCS implementing C_ij dV/dt
-  3. **Nearest-neighbor**: Simplified with only adjacent couplings
-- Label pros/cons of each:
-  - Partial: Accurate, complex transformation
-  - Controlled: Direct, requires behavioral sources
-  - Nearest-neighbor: Simple, approximate
-- Show 3-node example for each
-
-**Suggested Format:** PNG, 1500x600 px
-
----
-
-### 43. **validation-total-resistance.png**
-**Location:** `lessons/04-advanced-modeling/assets/`
-**Referenced in:** model-05 (Resistance Optimization)
-
-**Description:**
-Chart showing expected R_total ranges.
-
-**Details:**
-- Bar chart with ranges:
-  - Very low frequency (<100 kHz): 1-10 kΩ
-  - Standard (200 kHz), QCW/leader: 5-50 kΩ
-  - Standard (200 kHz), burst/streamer: 50-300 kΩ
-  - High frequency (400+ kHz): 100-500 kΩ
-- X-axis: Operating condition
-- Y-axis: Total R (log scale, kΩ)
-- Color code: Green (typical), Yellow (edge case), Red (check simulation)
-- Include dependence notes: R ∝ 1/f, R ∝ L
-
-**Suggested Format:** PNG, 1000x700 px
-
----
-
-## Shared / General Images (2 images)
-
-### 44. **tesla-coil-system-overview.png**
-**Location:** `assets/shared/`
-**Referenced in:** Multiple lessons
-
-**Description:**
-Complete Tesla coil system diagram with all components labeled.
-
-**Details:**
-- Show full system:
-  - Primary circuit (tank cap, primary coil, switching)
-  - Secondary coil
-  - Topload
-  - Spark
-  - Ground connections
-- Label all major components
-- Show coupling coefficient
-- Indicate measurement points
-- Clean, professional schematic style
-
-**Suggested Format:** PNG, 1400x1000 px
-
----
-
-### 45. **complex-number-review.png**
-**Location:** `assets/shared/`
-**Referenced in:** fund-01 (Introduction)
-
-**Description:**
-Quick reference for complex number operations.
-
-**Details:**
-- Four quadrants showing:
-  - Rectangular form (a + jb)
-  - Polar form (r∠θ)
-  - Euler form (re^(jθ))
-  - Complex conjugate (a - jb)
-- Conversion formulas
-- Multiplication, division, addition rules
-- Complex plane with example
-- Common electrical engineering conventions (j = √-1)
-
-**Suggested Format:** PNG, 1000x800 px
-
----
-
-## Screenshot Requirements (FEMM)
-
-Several lessons require actual FEMM screenshots. These should be taken from real simulations:
-
-1. **FEMM interface overview** (model-02, model-04)
-2. **Mesh generation example** (model-02)
-3. **Electrostatic solution with field plot** (phys-02, model-02)
-4. **Capacitance matrix output** (model-02, model-04)
-5. **Boundary condition setup** (model-02)
-
----
-
-## Format Specifications
-
-**General Guidelines:**
-- **File format:** PNG with transparency where appropriate
-- **Resolution:** Minimum 1000px on longest dimension
-- **Color scheme:** Support both light and dark mode viewing
-- **Text:** Minimum 14pt font size for labels
-- **Accessibility:** High contrast, colorblind-friendly palettes
-- **Compression:** Optimize for web (target <500 KB per image)
-
-**Tools Recommended:**
-- Circuit diagrams: Inkscape, Draw.io, LTspice screenshots
-- Graphs/plots: Python matplotlib, MATLAB, or similar
-- 3D geometry: Blender, FEMM 3D view, CAD software
-- Photography: High-speed camera (if available) or stock images
-
----
-
-## Priority Levels
-
-**High Priority (Create first):**
-1-6, 9-11, 16-19, 28-30 (Core concepts, most referenced)
-
-**Medium Priority:**
-7-8, 12-15, 20-27, 31-37 (Supporting material)
-
-**Low Priority (Can use placeholders initially):**
-38-45 (Nice-to-have, less critical for learning)
-
----
-
-## Notes for Artists/Designers
-
-- Maintain consistent style across all images
-- Use course color scheme (define: primary, secondary, accent colors)
-- Ensure equations are typeset properly (LaTeX or similar)
-- Add version numbers to images for tracking updates
-- Create SVG sources where possible for future editing
-- Include brief image captions in the markdown lessons
-
----
-
-**Document Version:** 1.0
-**Last Updated:** 2025-10-10
-**Total Images:** 45+
-**Estimated Creation Time:** 40-60 hours
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