| Basic Principle | Sound energy spreads out as it travels, reducing intensity with distance |
| Types of Sound Sources | Point, Line, and Plane sources |
| Point Source Formula | SPL2 = SPL1 – 20 × log10(d2/d1) |
| Line Source Formula | SPL2 = SPL1 – 10 × log10(d2/d1) |
| Plane Source | No reduction with distance in the near field |
| Point Source Examples | Small machinery, speakers, pumps |
| Line Source Examples | Highways, railways, long pipes |
| Plane Source Examples | Large flat surfaces, walls of machinery |
| 6 dB Rule (Point Source) | SPL decreases by 6 dB for each doubling of distance |
| 3 dB Rule (Line Source) | SPL decreases by 3 dB for each doubling of distance |
| Free Field Conditions | Assumes no reflections or obstructions |
| Spherical Spreading (Point) | Sound energy spreads over surface area of a sphere |
| Cylindrical Spreading (Line) | Sound energy spreads over surface area of a cylinder |
| Near Field vs Far Field | Law applies in far field; near field may have different behavior |
| Atmospheric Absorption | Additional attenuation, especially at high frequencies and large distances |
| Ground Effect | Can cause additional attenuation or enhancement |
| Barriers and Obstacles | Can provide additional noise reduction |
| Temperature Gradients | Can affect sound propagation path |
| Wind Effects | Can increase or decrease effective noise reduction |
| Humidity Effects | Affects atmospheric absorption, especially at high frequencies |
| Frequency Dependence | Higher frequencies generally attenuate more with distance |
| Inverse Square Law | Intensity decreases with square of distance (point sources) |
| Perception of Loudness | 10 dB reduction perceived as approximately half as loud |
| Measurement Units | SPL in decibels (dB), distance typically in meters or feet |
| Practical Applications | Urban planning, noise control, environmental impact assessments |
| Limitations | Real-world conditions may cause deviations from theoretical predictions |
| Combined Sources | Total SPL is logarithmic sum of individual source contributions |
| Directivity Factor | Accounts for non-uniform radiation patterns of real sources |
| Excess Attenuation | Additional attenuation due to ground, foliage, or atmospheric effects |