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GSM BTS propagation fields and non-ionizing SAR

Short answer

GSM BTS fields are reactive near field r<0.62√(D³/λ), radiating near field to 2D²/λ, and far field with S=EIRP/4πr². SAR=σE²/ρ measures absorbed power; above about 4 W/kg whole-body core temperature rises about 1°C. ICNIRP/IEEE limits: whole-body 0.08 W/kg public, 0.4 W/kg occupational, local 2 W/kg public.

Classify microwave propagation fields of a GSM BTS and its radiation parameters. Explain what non-ionizing SAR is and how it becomes hazardous to human body.

Propagation fields of a GSM BTS

A GSM BTS antenna (900/1800 MHz panel, length D ≈ 1–2 m) produces three field regions:

 Antenna  |<-- R1 -->|<------- R2 ------->|  far field
   [D]    | reactive |  radiating near    |  (Fraunhofer)
          | near     |  (Fresnel)         |
R1 = 0.62√(D³/λ)       R2 = 2D²/λ
RegionRangeFeatures
Reactive near fieldr < 0.62√(D³/λ)Stored energy, E and H not in phase, very high fields
Radiating near field (Fresnel)0.62√(D³/λ) to 2D²/λPattern changes with distance, fields not simple
Far field (Fraunhofer)r > 2D²/λPlane wave, E/H = 377 Ω, S = EIRP/4πr²

Example: 900 MHz (λ = 0.333 m), D = 2 m → R1 = 0.62√(8/0.333) = 3.04 m, R2 = 2×4/0.333 = 24 m.

Radiation parameters used to describe BTS exposure:

  • EIRP = Pt·Gt (W or dBm): effective radiated power in the main beam.
  • Power density S = EIRP/(4πr²) (W/m²) in the far field.
  • Electric field E = √(377·S) (V/m), magnetic field H = E/377 (A/m).
  • Antenna gain, beamwidth and tilt decide where the main beam reaches the ground.
  • SAR (W/kg) for absorbed power in the body.

Non-ionising SAR and its hazard

Microwave radiation is non-ionising: each photon carries too little energy to break chemical bonds. Its effect on the body is measured by the Specific Absorption Rate:

SAR = σ|E|²/ρ   (W/kg)

where σ is tissue conductivity, E the internal rms field and ρ the tissue density.

How it becomes hazardous:

  1. Absorbed power becomes heat. Whole-body SAR above about 4 W/kg raises core temperature by about 1 °C, causing heat stress.
  2. High local SAR heats organs with poor blood flow: eye lens (cataract), testes (temporary sterility); very high levels cause burns.
  3. Limits: ICNIRP/IEEE whole-body 0.08 W/kg (public), 0.4 W/kg (occupational); local 2 W/kg (public, 10 g).
  4. Near a BTS, workers in the near field or main beam can exceed limits; the public at ground level is usually far below them.

✓ Answer checked by Claude Opus 5.5 (high effort)

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