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Based on the misaligned diffraction integral formula for misaligned optical systems, the diffraction for misaligned Lohmann's fractional Fourier transformation system and quasi-asymmetrically inhomogeneous medium are analysed, respectively. It is found that there exist similar expressions of misaligned diffraction integral formula and they are essentially equivalent. And also, a new concept of misaligned fractional Fourier transform is put forward.
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Keywords:
- fractional Fourier transforms /
- misaligned optical systems /
- diffraction integral /
- graded index media
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