VSWR, damnum reditus (RL), potentia reflexa, et potentia transmissa

Relationes inter Rationem Undae Stationis Tensionis (RVS), iacturam reditus (RL), potentiam reflexam, et potentiam transmissam per coefficientem reflexionis (Γ) inter se conexae sunt. Infra sunt formulae principales et gradus conversionis:

### **Formulae Principales**
1. ** Meditatio Coefficiens (Γ) **;

\Gamma = \tfrac{\text{VSWR} - 1}{\text{VSWR} + 1}

2. **VSWR** ex Γ:

`VSWR` = `1 + |\Gamma|}{1 - |\Gamma|`

3. **Damnum Reditus (RL)** in dB:

`RL (dB)` = -20 \log_{10}(|\Gamma|)

4. **Potentia Reflexa (%)**:

P_{\text{refl}} = |\Gamma|^2 \times 100\%

5. **Potentia Transmissa (%)**:

P_{\text{trans}} = \left(1 - |\Gamma|^2\right) \times 100\%

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### **Gradus Conversionis**
#### **1. Incipiens a VSWR**:
- Γ computa:

\Gamma = \tfrac{\text{VSWR} - 1}{\text{VSWR} + 1}

- Utere Γ ad invenienda RL, potentiam reflexam, et potentiam transmissam utens formulis supra.

#### **2. Incipiens a Damno Reditus (RL in dB)**:
- Γ computa:

|\Gamma| = 10^{-\text{RL}/20}

- Utere Γ ad inveniendum VSWR, potentiam reflexam, et potentiam transmissam.

#### **3. Incipiendo a Potentia Reflexa/Transmissa**:
- Pro **potentia reflexa** (\(P_{\text{refl}}\)):

|Gamma| = \sqrt{\frac{P_{\text{refl}}}{100}}

- Pro **potentia transmissa** (\(P_{\text{trans}}\)):

|Gamma| = 1 - P_{translatio}/100}

- Ad VSWR et RL computandos utere Γ.

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### **Exemplum Tabulae**
| **VSWR** | **Damnum Reditus (dB)** | **Potentia Reflexa (%)** | **Potentia Transmissa (%)** |
|----------|----------------------|-------------------------|---------------------------|
| 1.0 | ∞ (Congruentia perfecta) | 0% | 100% |
| 1.5 | 14.0 dB | 4% | 96% |
| 2.0 | 9.5 dB | 11.1% | 88.9% |
| 3.0 | 6.0 dB | 25% | 75% |

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### **Notae Claves**
- **VSWR 1:1** nullam reflexionem significat (Γ = 0, RL = ∞).
- **Altior VSWR** vel **inferior RL** maiorem potentiam reflexam indicat.
- **Potentia transmissa** maxima est cum VSWR ≈ 1.

His formulis utere ad parametros inter se convertendos pro adaptatione impedantiae in systematibus RF.