Диссертация (1103862), страница 21
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URL: https://tds.ego-gw.it/ql/?c=7954.126Приложение АВспомогательные формулыА.1. Пондеромоторное сжатиеВ настоящей диссертации рассматриваются только линейные системы, которые сохраняют гауссовость состояний входящего в них света (см. также Раздел 1.4). Как следствие, для систем без потерь произведение матриц T T† должно содержать исключительно действительные элементы. Более того, для сим[︁ ]︁ ⃒ ⃒метричных систем справедливо: Ti j = e2iβ TRi j ≡ e2iβ sgn Ti j ⃒⃒ Ti j ⃒⃒. Кроме того,T11 = T22 , так как Tmeas = e2iβ R[φ] и Tb.a. = h̄χT x (σ1 T x )T , где χ — полная восприимчивость механической моды, а для функции отклика на смещение справедли[︁ ]︁ ⃒⃒ ⃒⃒xiβво T = e sgn T x ⃒⃒ T x ⃒⃒.jjjИз свойств сингулярного разложения для матрицы TRi j будем иметь:TR = R[upond ] Spond R[vpond ],(А.1)R[upond ] и R[vpond ] — матрицы поворота на соответствующие углы, а Spond — диагональная матрица, состоящая из действительных элементов s1,2 (индекс соответствует номеру строки/столбца).
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