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Table 1
Corner solutions derived from the inequalities (Eqs. (16) and (18)). Each solution represents an extreme case of dose and asymmetry. The optimum lies at minimum dose with maximum asymmetry, whereas the combination of moderate dose and minimum asymmetry is the least advantageous of the optimum solutions.
| Solution | Dose (F1 · F2) | Asymmetry (F2/F1) | Interpretation |
|---|---|---|---|
| 1 | 2 (Maximum) | 2/√3 (low) | Moderate dose, low asymmetry |
| F1 · F2 = 2 ensures tissue bridge-free bubble overlap | |||
| F2/F1 = 2/√3 is the smallest asymmetry of a hexagonal lattice | |||
| 2 | 4/π (Minimum) | 2/√3 (low) | Minimum dose, low asymmetry |
| F1 · F2 = 4/π enables tissue bridge-free bubble overlap with minimum dose | |||
| F2/F1 = 2/√3 is the smallest asymmetry of a hexagonal lattice | |||
| 3 | 2 (Maximum) | 2√3 (high) | Moderate dose, high asymmetry (lower roughness) |
| F1 · F2 = 2 ensures tissue bridge-free bubble overlap | |||
| F2/F1 = 2√3 is the largest asymmetry of a hexagonal lattice | |||
| 4 | 4/π (Minimum) | 2√3 (high) | Minimum dose, high asymmetry (lower roughness) |
| F1 · F2 = 4/π enables tissue bridge-free bubble overlap with minimum dose | |||
| F2/F1 = 2√3 is the largest asymmetry of a hexagonal lattice |
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