updated-radar/CLAUDE.md

This is a project for a museum to demonstrate a simulation of a 1940's to 1960's
vintage radar, including the Chain Home radar from early World War 2, marine radar
at a marine traffic control station, and marine radar on a boat.

The project will be implemented on a Geekom A8 Max
32 GB RAM
AMD Ryzen 9 8945HS w/ Radeon 780M Graphics
We need to render to the Radeon 780M Graphics GPU

Tech Stack: We are using C++20, OpenGL 4.3 Core, GLFW, GLAD, FreeType, GDAL (libgdal-dev)
Compiler: is g++ (Ubuntu 15.2.0-4ubuntu4) 15.2.0

FreeType is the text type we use
GDAL is used for reading the LIDAR/ENC chart files
GLFW (graphics library framework) open-source, multi-platform library used to manage windows
GLAD (Multi-Language GL/GLES/WGL/GLX Loader-Generator) Loads the pointers to 
   OpenGL functions (like glDrawArrays or glCompileShader)

PostgreSQL is installed. Database: radar. User: radar. Password: radar.
User has full privileges on database radar. Table is target_data.

Operating system details:

Distributor ID: Ubuntu
Description:    Ubuntu 25.10
Release:        25.10
Codename:       questing

Use cmake for building.

[DIRECTIVE: GPU ROBUSTNESS PROTOCOL]

Debug Callback: Enable GL_DEBUG_OUTPUT and glDebugMessageCallback 
to capture driver-level warnings and errors in real-time.

I will be using SSH from Windows to write code and check with claude.
You may compile the code during an SSH session.
Please do not try to run the code during SSH session.
I will run the code while physically using the Geekom.

Please add MIT license header to each file
Please add Author: Mark Allyn to each file

Use snake_case for variables and PascalCase for classes
use #pragma once
Use // for single line comments
use /* */ for multiple block comments spanning multiple lines
avoid using auto

Please use a settings.h file for defines and variables that I can
change and do a simple re-compile instead of having the ai re write the
code. This is for debugging. For example, I may want to disable the p7 persistance
to troubleshoot the actual target processnig before it goes to persistance,
disable the land and terrain so that I can see the targets alone. Things like
that.

Summary of project:

This is a museum exhibit displaying and providing some interaction
of vintage 1940's, 1950's, and 1960's radars. A key objective is to
provide interaction with and viewing of radars from that era.

The name of the application (the name of it's executable file) shall be
radar_simulator. Therefore, if you are in the directory in which the executable
is compiled, which in this case would be the build subdirectory of the project
directory, you would type ./radar_simulator, or use a full path name
of {PROJECT_DIR}/build/radar_simulator.

In the CMakeLists.txt, plese use the name radar_simulator for the add_executable call.

There will be three main areas of the screen. On the right hand side will be the radar
scope.

On the left hand side of the screen will be a text description of the scope as well 
as the controls of the scope and keyboard keys for each control. This text will be
white while the control labels will be red and the keystrokes will be in pink.
At some point, pending a decision with the museum, we may purchase components to mount the controls on a panel. Until that is done, the controls will be on the keyboard.

On the right hand side of the screen, below the scope, would be a text status window, showing current 
maximum range, range, and bearing as appropriate to which scope we are using as well as the identification
of the scope that we are using.

Suggest that we use glViewport to define the left-hand text area, the main scope, 
and the yellow status bar. This allows you to render the scope with its own coordinate 
system while keeping the text fixed. Along with glViewport, use glScissor and glEnable(GL_SCISSOR_TEST)

Below the scope will be a text status window. This text will be yellow

Scopes in the right panel

1. Introduction of Exhibit (Explanation of the project on the left hand text panel.
2. A-scope for Chain Home Radar in the 1940's (first radar and could be tricky)
3. A-scope for marine radar in the 1940's (Before PPI radar); was a bit tedious to operate
4. PPI scope for marine traffic control (uses beam sweeping in all 360 degrees of
   rotation); Easier to use than a scope
5. PPI scope on board a boat. Shows how movement of a boat affects the radar display

Please note that these scopes will not appear all at once. The selection of which scope
the visitor sees is done by pressing a forward control and a reverse control to go around
the loop of scopes. The first display when the system is turned on or booted up is the 
Introduction of the exhibit.

Before going, we must point out the target information handling which will
affect all scopes.

====================================================================================

TARGET DETAILS & TARGET PIPELINE

Targets for this project will come from two sources:

1. Raspberry pis communicating with an AIS receiver for boats and
   an ADS-b receiver for aircraft
2. An on-board simulator that will simulate targets using an internal
   table of target information in the postgresql database.

Please note that the components for the AIS and ADS-B target
handling are not yet available, thereby the programming for that
source will not be defined at this point.

All targets from the network pipeline and simulator map to this C master structure:

struct target_data_structure {
   double target_longitude;
   double target_latitude;
   std::string vessel_name; // will be null for no available name
   std::string registration; // will be null for no registration
   float length; // in meters
   float beam; // in meters
   int vessel_type; // AIS type code or aircraft type
   uint32_t mmsi; // AIS unique identifier; ICAO hex address for aircraft
   float course; // course over ground, degrees, based on true north
   float speed; // speed over ground, knots
   time_t timestamp; // time of last fix; used to age out stale targets
   float altitude; // meters, but 0 for boats
   TargetType type; // type of target; vessel or aircraft
};

Of this heavy structure, only the following lean mathematical footprint is submitted
to the graphics shaders via an OpenGL Shader Storage Buffer Object (SSBO) layout(std430):

struct target_data_to_shader_structure {
  float target_x;     // Pre-converted local Cartesian offset X (meters relative to radar)
  float target_y;     // Pre-converted local Cartesian offset Y (meters relative to radar)
  float length;       // Vessel length bounds (meters)
  float beam;         // Vessel beam bounds (meters)
  float course;       // Course over ground vector (radians relative to True North)
  float altitude;     // Target altitude profile (meters)
  time_t timestamp;   // Data aging tracking identifier
};

The segment handling asynchronous target ingestion is called traffic_cop.
The traffic_cop runs on a dedicated background execution thread separate from the rendering loop. 
Data synchronization between threads must be managed explicitly using std::mutex blocks.

[TRAFFIC COP OPERATIONAL TIMING PROTOCOL]
1. Processing Loop: Aggregated targets are packaged into a uniform array and dispatched 
   as a batch operation precisely when the PPI radar sweep line crosses 0.0 radians (True North).
2. Range Filtering: Discard any targets residing outside the active radar's designated maximum operational range.
3. Altitude Restriction: Enforce a strict <= 40-meter restriction for marine nodes (Marine Chain Home 
   and all PPI Marine radars). Discard any aircraft violating this ceiling.
4. Precision Alignment: Latitude and longitude coordinate conversions into local meters relative to 
   the radar origin must be handled on the CPU thread within traffic_cop to protect against FP32 structural precision rounding errors inside the GPU.
5. Critical Section: Assert a std::mutex to gain safe writing access to the double-buffered array driving the SSBO, copy the structural contents, and clear the mutex immediately.

Note that the construction of the simulator will be discussed later in this document.

=============================================================================

Please note that the first iteration of the project will have only minimal controls.
This is a suggestion I got after meeting with the museum staff. Perhaps later we may
add more controls.

Also, please note that the state of the controls of each scope is independent of any
other scope. Furthermore, the controls will reset when a scope is exited and then re-entered.

Controls to affect the behavior of the scopes; (these first implemented using keyboard
strokes; later when and if physical controls are completed, the keyboard controls will be removed)
These controls will affect the state variables and the uniform variables of the shaders.

Please note that identical controls will be the same keyboard strikes or physical controls for all scopes.

=======================================================
Overall control information

These are knobs on the panel once that is built. Keyboard keys until then

1. Intensity - scope overall intensity - Keyboard 3 is lower; 4 is higher
2. Receiver Sensitivity - signal intensity - Keyboard 5 is lower; 6 is higher
3. STC Sensitivity - sensitivity for closer in targets which can overwhelm
   overall sensitivity - keyboard q for lower; w for higher 
4. STC Range - range to which sensitivity to closer targets is effective
   keyboard e for lower; r for higher
5. Radiogoniometer knob for Chain Home; keyboard t for left turn; y for right turn.
6. Maximum Range for all scopes except for chain home, which is fixed. This control
   will not operate for Chain Home. These maximum
   range selections will be defined for each scope; If you try to go beyond the stated
   maximum ranges, the control will have no effect; note that the default maximum range would
   be the highest for that scope; keyboard u for lower; i for higher 
7. Range Cursor (for ppi scopes, not for a scopes) keyboard o for lower; p for higher
8. Bearing Cursor (for all ppi scopes; not for a scopes) 
   keyboard a for counterclockwise s for clockwise
9. Bearing for Marine A Scope. This is not for a cursor, but this operates the motor
   that revolves the antenna unit keyboard d for counterclockwise and f for clockwise
   
Notes; I am maintaining control separation between radiogon, marine a scope bearing, and ppi bearing. 
However, when I make the control panel, those will be combined as one physical knob with three
labels, chain home radiogon, marine a scope antenna rotation, and ppi scope bearing to save on 
hardware; the same physical control can be used for multiple scopes.

Note that the range cursor is different from the maximum range. Maximum range is the maximum
radar range setting and range cursor is the range portion of the ppi cursor.

=========================================================================
RADAR EQUATION (for all radars; note that is different for chain home)

The fundamental radar equation describes how much power returns to a radar system 
after bouncing off a distant target. 

Physically, it follows a "round-trip" journey of energy: the radar transmits a signal 
that spreads out as a sphere (losing strength by the square of the distance, $R^2$), 
hits a target that reflects a portion of that energy (the Radar Cross Section, $\sigma$), 
and that reflection then spreads out again as a second sphere on its way back (losing 
another factor of $R^2$). 

控制方程 (Governing Equation):
$$P_r = \frac{P_t G^2 \lambda^2 \sigma}{(4\pi)^3 R^4}$$

Where:
  P_r = Received Echo Power (Watts)
  P_t = Peak Transmitter Power (Watts)
  G   = Antenna Gain (Linear)
  λ   = Wavelength of transmitted carrier wave (Meters)
  σ   = Radar Cross Section (RCS, Meters squared)
  R   = Target Range from station origin (Meters)

Because each of our target scopes contains fixed design loops, these values can be pushed directly
as hardware uniform parameters matching specific hardware loop gains that do not change.

========================================================

Individual scope informations

1. Introduction to project. Just text. No scopes. Only one control for entering
   scope selection loop. Keyboard keys 1 for forward; 2 for backward.
   This is a loop type selection If you are in the Introduction, and you touch
   keyboard 2 for backward, you would go to scope 5, PPI Scope for a boat.

   =================================================================

   To control the extent of the selection of the scopes by the user, there sill be 
   a selection of what scopes are to be avaiable to the museum visitor. This
   will enable the museum to select what scopes will be available and what scopes
   will not be available at all. A script that will invoke the radar simulator
   application will need to pass parameters to indicate what will be available.
   For example, if the script were to call: 

   {PROJECT_DIR}/build/radar_simulator chain_home marine_ascope marine_traffic_ppi 

   then only the chain_home, marine_ascope and marine_traffic_ppi will be availablel
   but the marine_ppi_on_a_boat will not be available.

   This feature is needed for troubleshooting but also to allow the museum to control
   what is available. For example, if the museum is crowded with large school groups,
   then they would only have one scope available; so if they did

   {PROJECT_DIR}/build/radar_simulator marine_traffic_ppi

   Only the marine traffic control ppi scope will be available and the scope
   selection controls will not be operatable.

   To be clear, the names of the scopes currently being built are:

   1. chain_home
   2. marine_ascope
   3. marine_traffic_ppi
   4. marine_boat_ppi

   Startup behavior rules based on argument count:

   - No arguments: all four scopes available, Introduction shown first,
     navigation keys 1 and 2 are active.

   - Two or more scope names: only those scopes available in the loop,
     Introduction shown first, navigation keys 1 and 2 are active.

   - Exactly one scope name: Introduction is suppressed entirely. The
     application launches directly into that scope and stays there.
     Navigation keys 1 and 2 are disabled. The public will have no
     awareness that any other scope exists. This mode is intended for
     large groups and high-traffic museum days where staff want to
     dedicate the exhibit to one display without contention.

   ====================================================================

2. A Scope - sweep on horizontal axis. A pulse will appear for a return. The distance from
   the left hand side to the pulse is the range. The height of the pulse is the strength
   of the return signal. The bearing is determined by manual control.

   The basic controls for both A Scopes include:
      Intensity 

      Sensitivity (the strength of the signal amplification of the
      receiver). This has nothing to do with the brightness of the
      pulses. This only affects the height of the pulse and the height
      of any noise floor.

      STC sensitivity; sensitivity for close in targets. 

      STC sensitivity range; how far shall the STC sensitivity have effect. 

    Please note that the phosphor (chemical that glows when hit by
    electrons in the tube) is green, similar to an oscilloscope. The Hex
    for green is #39FF14; there is a short persistance of the phosphor after being
    struck by the electron beam. That persistance is about 25 milliseconds and its color
    is darker green at about Hex #004400

    Please also note that there are no graticules on either the Chain Home a scope nor
    the marine a a scope. The only thing on the external plate is the base line (zero signal
    which the operator can refer to that is going on (grass, calibration, and signals). It
    is an important point of reference. That base line is illuminated on the sides with small
    incandescent lamps. It is a different color than the display itself. The incandescent
    color is that of the #47 pilot lamp hex #FFB347.

   2-1 Chain Home A Scope

   ==========================================================

   [INVERTED DISPLAY & ADDITIVE VIDEO SIGNAL SUMMATION]

   The Chain Home A-Scope display layout is inverted. The steady, horizontal reference baseline 
   (the zero signal line) sits at the top of the tube display window (`y = 0.9` in viewport NDC coordinates). 
   All video activity—receiver noise floor grass, fixed calibration markers, and target echo pulses—deflects 
   vertically **downward** into the dark lower quadrants of the screen.

   This top-down structure protects the upper edge of the reference line from being distorted by noise grass, 
   enabling the operator to align the trace against an illuminated glass graticule with a clean visual focus.

   All source signals are combined in a single hardware mixing matrix before driving the electrostatic plates:
   * **Receiver Chain:** The atmospheric background noise floor (grass) and the target echo pulses are combined 
     first, and are directly scaled by the operator's Receiver Sensitivity control.
   * **Calibration Chain:** The crystal-controlled 20-mile reference pips are injected into the video chain 
     AFTER the primary receiver gain stage. As a result, modifications to the Sensitivity control do not scale 
     the vertical height of calibration pips.

   [SUMMING AMPLIFIER PROTOCOL]
   float receiver_signal = (noise_floor + target_echoes) * sensitivity;
   float total_deflection = receiver_signal + calibration_pips;
   
   // Map values downwards from structural baseline ceiling
   float final_y = baseline_y - total_deflection;

   If an operational target echo shares an identical range slot with a 20-mile calibration pip, their respective 
   voltages additively sum, dynamically pushing the peak tip further toward the bottom layout limit.

   ==========================================================================

   Because the receiving antennas are very large (about 100 feet), the
   operator cannot physically move them. 
       
   Therefore, the bearing is determined through a process called radio direction
   finding (RDF) using a specialized instrument known as a Radiogoniometer.

   The receiver towers (which were separate from the transmitter towers) 
   featured two sets of dipole antennas mounted at right angles to one 
   another—essentially one oriented North-South and the other East-West.

   The signals from these two perpendicular antennas were fed into a Radiogoniometer
   located in the receiver hut. Inside the device there are two fixed coils (field coils)
   that were mounted at right angles matching the orientation of the outdoor antennas.
   A third coil, the search coil, is mounted on a rotating shaft inside the two 
   field coils. The operator would physically turn a knob to rotate the search coil.

   The relative strength of the signal in each antenna depended on the angle of the
   incoming wave. For example, a target directly to the North would produce a maximum
   signal in the North-South antenna and zero in the East-West antenna. 

   The operator would look for a null point (a signal or pip weaker than the noise floor).
   At that point, the operator would read the bearing from a calibrated scale attached
   to the radiogoniometer knob.

   We can simulate the radiogoniometer knob that would affect the null point depending
   on the bearing of a target. The museum visitor could experience seeing different
   null points for each target. Since we do not have a physical calibrated knob, we
   can put the bearing as a text indicator below the A Scope.

   The range is 200 miles. That is the only range option for this scope.


   RADAR EQUATION STUFF FOR CHAIN HOME

   For Chain Home:
   Transmitter Power : 500 KW
   Wavelength 12 Meters
   Antenna Gain 5 dB
   Pulse Width 20 microseconds
   Beam Width 150 degrees (floodlight)
   PRF 25 HZ

   [METRIC RESONANCE MODEL]
   Because the 12-meter carrier wavelength closely matches the physical physical dimensions (wingspan) 
   of historical combat aircraft (e.g., 10-12 meters), the target functions as a resonant half-wave dipole. 
   When a target's physical length falls within the Rayleigh/Mie resonant band (40% to 60% of the carrier wavelength), 
   the backscattering intensity receives an explicit 1.5x structural cross-section multiplier.

   // Pseudocode for Shader/Logic
   // Derive range and bearing from SSBO Cartesian fields
   float ch_range        = sqrt(target.target_x * target.target_x + target.target_y * target.target_y);
   float ch_bearing_rad  = atan(target.target_x, target.target_y); // GLSL atan(y,x) measured from north
   float ch_aspect_angle = ch_bearing_rad - target.course;         // course is radians in SSBO
   float ch_proj_width   = abs(sin(ch_aspect_angle)) * target.length + abs(cos(ch_aspect_angle)) * target.beam;
   float base_sigma      = ch_proj_width * 2.5;

   float resonance  = (target.length >= wavelength * 0.4 && target.length <= wavelength * 0.6) ? 1.5 : 1.0;
   float final_sigma = base_sigma * resonance;

   The 20-Mile Markers: Chain Home used crystal-controlled oscillators to create 
   fixed reference "pips" every 20 miles. These should be rendered as thin, 
   vertical spikes that never move, regardless of target sensitivity.

   The "Floodlight" Effect: Because the beam is 150° wide, the A-Scope will 
   show every aircraft in that massive sector simultaneously. The only way to 
   tell them apart was the range (distance from left) and the Radiogoniometer nulling.

   The Waveform Shape: For CH, the pips should be slightly "noisier" than 
   marine radar. Use a random jitter function in your vertex shader to 
   simulate the atmospheric noise floor common at 25 MHz.

   2-2 Marine A Scope

   Utilization of A scope marine was limited to military use prior to PPI scope
   invention. An example is British Type 271 radar, introduced in 1941.

   Marine radar frequencies allowed the use of much smaller antennas;
   dishes or horns. Those antennas would be mounted on the shaft of a servo motor. The
   servo motor would be driven by another servo that is attached to the bearing control
   knob on the radar console. The bearing is on a calibrated dial on the bearing control
   knob.

   We can simulate the bearing knob that would affect the simulated pointing of the
   dish antenna. The museum visitor could experience seeing different
   pips appear as they rotate the antenna toward them. Likewise the pips would disappear
   as the antenna is rotated away.

   The range is indicated at how far the pip is from the left hand side of the scope which
   is the location of the radar transmitter. If the target goes further away, 
   the pip will move to the right. If the target comes close to you, the pip will 
   move left.

   This pip has a finite rise time as the transmitter starts.
   The width is set by the modulator stage in the transmitter.
   Following the width, the pip has a finite fall time as the transmitter stops. This
   creates a curved waveform; not just a line.

   A photograph for this display show no graticule at all. Only range pips formed by an oscillator.
   Those oscillator pips are fixed. Range settings do not affect them. There is a baseline at the
   bottom, etched in glass, that is side illuminated by incandescent lamps.

   Like Chain Home, the Marine A-scope sums noise, calibration pips, and target echoes into a
   single signal before the deflection plates — this is a hardware reality of any CRT A-scope.
   The calibration pips are injected after the receiver gain stage, so they remain at constant
   height regardless of the Sensitivity control. The shader summing follows the same structure:

   /* Simulated Summing Amplifier Logic — same pattern as Chain Home.
      Cal pips outside sensitivity multiply because they bypass the receiver gain stage. */
   float receiver_signal = (noise_floor + target_echoes) * sensitivity;
   float total_deflection = receiver_signal + calibration_pips;

   // Apply to upward-deflecting baseline (Marine scope is right-side up)
   float final_y = baseline_y + total_deflection;

   The maximum ranges for this scope are: 
   1. 1.5 miles; marker pips every 0.25 miles
   2. 3.0 miles; marker pips every 0.5 miles
   3. 6.0 miles; marker pips every 1.0 miles
   4. 12.0 miles; marker pips every 2.0 miles

   RADAR EQUATION FOR MARINE A SCOPE

   Here are the fixed values (those values that can be declared as 
   uniforms) for the marine a scope radar. I suggest these for the uniform names

   peak_power = 500 KW
   wavelength = 10 centimeters
   antenna_gain = 30 db
   pulse_rep_frequency = 500 hz
   horizontal_beamwidth = 2.5 degrees

   Now we have some stuff for the settings file:

   SYSTEM_TEMPERATURE ($T_s$): Usually 290K; used to calculate the noise floor
   NOISE_FIGURE ($F$): A value in dB that determines how much "grass" your 
     specific receiver adds to the signal (20 dB typical for early centimetric systems).
   BOLTZMANN_CONSTANT ($k$): $1.38 \times 10^{-23}$, essential for the thermal 
     noise part of your simulation.

   Now, here is a snippet of pseudo code:

   /* Uniform Variables provided by CPU */
   uniform float u_AntennaBearing;    // Current rotation of knob/motor, degrees
   uniform float horizontal_beamwidth; // Fixed for the scope (e.g., 2.5 degrees)

   /* Logic for each Target — all derived from SSBO fields target_x, target_y, length, beam, course */

   // Derive range (meters) and bearing (degrees, north-clockwise) from Cartesian SSBO fields
   float target_range       = sqrt(target.target_x * target.target_x + target.target_y * target.target_y);
   float target_bearing_rad = atan(target.target_x, target.target_y); // GLSL atan(y,x) from north
   float target_bearing_deg = degrees(target_bearing_rad);
   if (target_bearing_deg < 0.0) target_bearing_deg += 360.0;

   // Compute RCS from length and beam using aspect angle (course is radians in SSBO)
   float aspect_angle    = target_bearing_rad - target.course;
   float projected_width = abs(sin(aspect_angle)) * target.length + abs(cos(aspect_angle)) * target.beam;
   float target_rcs      = projected_width * 2.5;

   float angle_diff = abs(target_bearing_deg - u_AntennaBearing);

   // Handle the 359 to 0 degree wrap-around
   if (angle_diff > 180.0) angle_diff = 360.0 - angle_diff;

   // BeamFactor: 1.0 at center, drops to 0.5 at horizontal_beamwidth/2
   // This creates the "fade in / fade out" effect as you turn the knob
   float beam_factor = exp(-2.77 * pow(angle_diff / (horizontal_beamwidth / 2.0), 2.0));

   // Final received power Pr — uses only derived values, no missing SSBO fields
   float Pr = (peak_power * pow(antenna_gain, 2.0) * pow(wavelength, 2.0) * target_rcs * beam_factor) /
              (pow(4.0 * PI, 3.0) * pow(target_range, 4.0));

3. PPI Scope

   PPI stands for Plan Position Indicator

   The Core VisualizationThe PPI scope represents the radar antenna as a 
   central point (the origin).The "Sweep": A radial line rotates 360 
   degrees around the center, synchronized with the physical rotation of the 
   radar antenna.Distance (Range): 

   The distance from the center of the screen to a "blip" 
   represents how far away the object is.

   Bearing (Azimuth): The angle of the blip 
   relative to the top of the screen (usually North or the front of a ship/aircraft) 
   represents its direction. 

   Key Technical ComponentsIf you are prompting an AI to simulate or analyze a PPI, 
   use these technical markers:Persistence: Older CRT scopes used "long-persistence 
   phosphors" so that a target would remain visible as a glowing trail 
   even after the sweep line passed over it.

   Range Rings: Concentric circles overlaid on the display to help the operator estimate 
   distance at a glance.

   Strobe/Cursor: A line or marker used to pinpoint the exact coordinates of a specific target.

   Mathematical LogicFor an AI to process PPI data, it needs to understand the conversion 
   from Polar to Cartesian coordinates. If a radar detects a target at distance $r$ and 
   angle $\theta$, the position on the 2D screen $(x, y)$ is calculated as:$$x = r \cdot 
   \sin(\theta)$$$$y = r \cdot \cos(\theta)$$. 

   Why it differs from other ScopesTo clarify for the AI, distinguish it from the A-Scope: A 
   simple 1D graph showing "Energy vs. Distance" (looks like an EKG).

   Please note that the P7 phosphor for vintage PPI radar has several colors; the
   following table describes this:

   Suggested Simulation Table for the P7 PPI phosphor

   1. Excitation 0 (flash) Bright Blue hex #A0CFFF - note this is active electron beam
   2. Immediate blue - 1 ms duration after Excitation; Blue hex #1010FF - note that 
      from here on is afterglow after beam stops
   3. Short term Yellow Green - 1 second duration after Immediate blue; yellow green hex #E2FF80
   4. Long Term Amber -  10 seconds duration after Short Term; Amber hex #FFA040
   5. Expiration - 12 seconds duration after Long Term Amber; very dark hex #050700

   =========================================================================

   [PPI BEAM-WIDTH & TARGET SPATIAL ARC DISPERSION]

   Because the radar antenna emits a beam with a finite horizontal beamwidth rather than an 
   infinitely narrow beam, targets intersect the energy wave continuously as the antenna rotates 
   across their angular boundaries. This spatial geometric interaction distorts a standalone point target 
   into a concentric circumferential **arc** drawn perpendicular to the radar's origin vector.

   The returned signal intensity distribution across this structural arc is defined by three rules:
   1. **Geometric Profile Aspect:** The cross-section $\sigma$ is computed dynamically using the target's explicit 
      course vector and bearing. The projected surface area facing the wavefront handles the ship's 
      length and beam parameters:
      $$\text{Projected Width} = (|\sin(\text{aspect\_angle})| \times \text{length}) + (|\cos(\text{aspect\_angle})| \times \text{beam})$$
      $$\sigma = \text{Projected Width} \times 2.5$$
   2. **Gaussian Power Distribution:** The returned echo energy along the arc changes smoothly according to a 
      Gaussian curve. The absolute edges are dimmest (where the beam's outer threshold grazes the 
      target perimeter) and expand exponentially to max intensity at the center axis of alignment.
   3. **Sweep Intersect Envelope:** Energy returns climb from the noise floor, achieve peak voltage 
      at perfect cross-coincidence, and fade back down into the receiver noise as the sweep line passes the target.

   Graticules - These are plastic overlays over the face of the scope. They are
   for the purposes of showing the bearing. They are calibrated in degrees; short line (1/8 inch)
   each degree; medium line (1/4 inch) for every 5 degrees; and a longer line (1/2 inch) for every
   10 degrees. Line for true north; 2/3 inch.

   Notes that these graticule lines are lit by a #47 incandescent bulb #FFB347.

   =======================================================================

==================================

settings.h file suggestions:

/* Radar Hardware Constants */
namespace ChainHome {
    const float PEAK_POWER = 500000.0f; // 500 KW
    const float WAVELENGTH = 12.0f;     // 12 Meters
    const float ANTENNA_GAIN = 3.16f;   // 5 dB expressed as linear gain
    const float PULSE_WIDTH = 0.000020f; // 20 microseconds
    const float BEAM_WIDTH = 150.0f; // in degrees (large floodlight)
    const float PRF = 25.0f; // pulse repetition rate in times per second
}

namespace MarineAScope {
    const float PEAK_POWER = 500000.0f; // 500 KW
    const float WAVELENGTH = 0.10f;     // 10 cm
    const float ANTENNA_GAIN = 1000.0f; // 30 dB expressed as linear gain
    const float PRF = 500.0f; // pulse repetition frequency
    const float HORIZONTAL_BEAMWIDTH = 2.5f; // horizontal beamwidth
    const float SYSTEM_TEMPERATURE = 290.0f; // system temperature
    const float NOISE_FIGURE = 20.0f; // for period receivers; this is in Db
    const float BOLTZMANN_CONSTANT = 1.38e-23f;
}