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ÊéÃûDiffractive
Nanophotonics
×÷ÕßVictor A Soifer
International Standard Book Number-13: 978-1-4665-9070-0 (eBook - PDF)
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³ö°æÉçCRC Press
1 Basic equations of diffractive nanophotonics 1
1.1. Maxwell equations 2
1.1.1. Mathematical concepts and notations 2
1.1.2. Maxwell¡®s equations in differential form 3
1.1.3 Maxwell's equations in integral form 4
1.1.4. Fields at interfaces 5
1.1.5. Poynting¡¯s theorem 5
1.2. Differential equations of optics 6
1.2.1. The wave equation 6
1.2.2. Helmholtz equations 7
1.2.3. The Fock¨CLeontovich equation 7
1.2.4. Eikonal and transport equations 8
1.3. Integral theorems of optics 8
1.3.1. Green¡¯s formulas 8
1.3.2. Stratton¨CChu formula 11
1.4. Integral transformations in optics 15
1.4.1. Kirchhoff integral 16
1.4.2. Fresnel transform 17
Conclusion 18
References 19
2 Numerical methods for diffraction theory 20
2.1. The finite-difference time-domain method for solving
Maxwell¡¯s equation 22
2.1.1. Explicit difference approximation for Maxwell¡¯s equations 22
2.1.1.1. One-dimensional case 22
2.1.1.2. The two¨Cdimensional case 26
2.1.2. Transition from time domain to frequency domain 32
2.1.3. Application of absorbing layers 34
2.1.3.1. Formulation of absorbing boundary conditions and
the imposition of absorbing layers 34
2.1.3.2. The difference approximation of Maxwell¡¯s equations in
absorbing layers 37
2.1.3.3. Association of absorbing layers in vectorization of
calculations 33
2.1.3.4. Universal grid areas 42¡ï¡ï¡ï¡ï¡ï¡ï2014Êé¼®³¬¼¶ÌûÎå¾Å¾Å¡¶ÑÜÉäÄÉÃ×¹â×Óѧ¡·2014×îÐÂÊé¼®
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