Engineering optics with Matlab

Content: 1 Geometrical Optics --
1.1 Fermat\'s Principle 2 --
1.2 Reflection and Refraction 3 --
1.3 Ray Propagation in an Inhomogeneous Medium: Ray Equation 6 --
1.4 Matrix Methods in Paraxial Optics 16 --
1.4.1 The Ray Transfer Matrix 17 --
1.4.3 Cardinal points of an optical system 27 --
1.5 Reflection Matrix and Optical Resonators 32 --
1.6 Ray Optics using MATLAB 37 --
2 Wave Propagation and Wave Optics --
2.1 Maxwell\'s Equations: A Review 46 --
2.2 Linear Wave Propagation 50 --
2.2.1 Traveling-wave solutions 50 --
2.2.2 Maxwell\'s equations in phasor domain: Intrinsic impedance, the Poynting vector, and polarization 55 --
2.2.3 Electromagnetic waves at a boundary and Fresnel\'s equations 60 --
2.3 Wave Optics 73 --
2.3.1 Fourier transform and convolution 74 --
2.3.2 Spatial frequency transfer function and spatial impulse response of propagation 75 --
2.3.3 Examples of Fresnel diffraction 79 --
2.3.4 Fraunhofer diffraction 80 --
2.3.5 Fourier transforming property of ideal lenses 83 --
2.3.6 Resonators and Gaussian beams 86 --
2.4 Gaussian Beam Optics and MATLAB Examples 97 --
2.4.1 q-transformation of Gaussian beams 99 --
2.4.2 MATLAB example: propagation of a Gaussian beam 102 --
3 Beam Propagation in Inhomogeneous Media --
3.1 Wave Propagation in a Linear Inhomogeneous Medium 111 --
3.2 Optical Propagation in Square-Law Media 112 --
3.3 The Paraxial Wave Equation 119 --
3.4 The Split-Step Beam Propagation Method 121 --
3.5 MATLAB Examples Using the Split-Step Beam Propagation Method 124 --
3.6 Beam Propagation in Nonlinear Media: The Kerr Media 134 --
3.6.1 Spatial soliton 136 --
3.6.2 Self-focusing and self-defocusing 139 --
4 Acousto-Optics --
4.1 Qualitative Description and Heuristic Background 152 --
4.2 The Acousto-optic Effect: General Formalism 158 --
4.3 Raman-Nath Equations 161 --
4.4 Contemporary Approach 164 --
4.5 Raman-Nath Regime 165 --
4.6 Bragg Regime 166 --
4.7 Numerical Examples 172 --
4.8 Modern Applications of the Acousto-Optic Effect 178 --
4.8.1 Intensity modulation of a laser beam 178 --
4.8.2 Light beam deflector and spectrum analyzer 181 --
4.8.3 Demodulation of frequency modulated (FM) signals 182 --
4.8.4 Bistable switching 184 --
4.8.5 Acousto-optic spatial filtering 188 --
4.8.6 Acousto-optic heterodyning 196 --
5 Electro-Optics --
5.1 The Dielectric Tensor 205 --
5.2 Plane-Wave Propagation in Uniaxial Crystals
 Birefringence 210 --
5.3 Applications of Birefringence: Wave Plates 217 --
5.4 The Index Ellipsoid 219 --
5.5 Electro-Optic Effect in Uniaxial Crystals 223 --
5.6 Some Applications of the Electro-Optic Effect equations 227 --
5.6.1 Intensity modulation 227 --
5.6.2 Phase modulation 236.