Principles of Biophotonics, Volume 3: Field propagation in linear, homogeneous, dispersionless, isotropic media

PRELIMS.pdf
	Acknowledgement
	Author biography
		Gabriel Popescu
CH001.pdf
	Chapter 1 Maxwell’s equation in integral form
		1.1 Faraday’s law
		1.2 Ampère’s law
		1.3 Gauss’s law for electric fields
		1.4 Gauss’s law for magnetic fields
		1.5 Problems
		References and Further reading
CH002.pdf
	Chapter 2 Maxwell’s equations in differential form
		2.1 The four main equations
		2.2 Constitutive relations
		2.3 Maxwell’s equations in other representations
			2.3.1 Space–frequency representation (r, ω)
			2.3.2 Wavevector–time representation (k, t)
			2.3.3 Wavevector–frequency representation (k, ω)
		2.4 Classification of optical materials
			2.4.1 Anisotropic
			2.4.2 Dispersive
			2.4.3 Inhomogeneous
			2.4.4 Nonlinear
		2.5 Boundary conditions
		2.6 Reflection and refraction at boundaries
			2.6.1 Fresnel equations
			2.6.2 Total internal reflection: critical angle
			2.6.3 Total transmission: Brewster angle
		2.7 Characteristic impedance
		2.8 Poynting theorem and energy conservation
		2.9 Phase, group, and energy velocity
		2.10 The wave equation
			2.10.1 Vector wave equation
			2.10.2 Scalar wave equation
		2.11 Wave equation in other representations
			2.11.1 Space–frequency representation (r, ω)
			2.11.2 Wavevector–time representation (k, t)
			2.11.3 Wavevector–frequency representation (k, ω)
		2.12 Problems
		References and further reading
CH003.pdf
	Chapter 3 Propagation of electromagnetic fields
		3.1 Dyadic Green’s function
		3.2 Electric dipole radiation
		3.3 Magnetic dipole radiation
		3.4 Problems
		References and further reading
CH004.pdf
	Chapter 4 Propagation of scalar fields in free space
		4.1 Primary and secondary sources
		4.2 1D Green’s function: plane wave
		4.3 2D Green’s function: cylindrical wave
		4.4 3D Green’s function: spherical wave
		4.5 Problems
		References and further reading
CH005.pdf
	Chapter 5 Diffraction of scalar fields
		5.1 Diffraction by a 2D object
		5.2 Plane wave decomposition of spherical waves: Weyl’s formula
		5.3 Angular spectrum propagation approximation
		5.4 Fresnel approximation
		5.5 Fraunhofer approximation
		5.6 Fourier properties of lenses
			5.6.1 Lens as a phase transformer
			5.6.2 Lens as a Fourier transformer
		5.7 Problems
		References
CH006.pdf
	Chapter 6 Geometrical optics
		6.1 Applicability of geometrical optics
		6.2 WKB approximation: eikonal equation and geometrical optics
		6.3 Fermat’s principle
		6.4 Refraction through curved surfaces
		6.5 Reflection by curved mirrors
			6.5.1 Spherical mirrors
			6.5.2 Parabolic mirrors
			6.5.3 Elliptical mirrors
		6.6 Ray propagation (ABCD) matrices
			6.6.1 Free space translation
			6.6.2 Refraction through a planar interface
			6.6.3 Refraction through a spherical interface
			6.6.4 Transmission through a thick lens
			6.6.5 Transmission through a thin lens
			6.6.6 Reflection by a spherical mirror
			6.6.7 Cascading optical systems
			6.6.8 Eigen vectors
		6.7 Problems
		References and further reading
CH007.pdf
	Chapter 7 Gaussian beam propagation
		7.1 Definition of a light beam
		7.2 Fresnel propagation of Gaussian beams
		7.3 Gaussian beam characteristics
		7.4 Gaussian beam propagation using ABCD matrices
			7.4.1 Free space propagation
			7.4.2 Refraction through a planar interface
			7.4.3 Refraction through a spherical interface
			7.4.4 Transmission through a thin lens
			7.4.5 Reflection by a spherical mirror
			7.4.6 Cascading optical systems
		7.5 Problems
		References and further reading
CH008.pdf
	Chapter 8 Propagation of field correlations
		8.1 Heisenberg uncertainty relation and the coherence of light
			8.1.1 Uncertainty relations in space and time
			8.1.2 Uncertainty relation and the Wiener–Khintchine theorem
			8.1.3 Uncertainty relations and diffraction of light
		8.2 Spatiotemporal field correlations
			8.2.1 Spatiotemporal statistics
			8.2.2 Spatial correlations of monochromatic fields
			8.2.3 Temporal correlations of plane waves
		8.3 Coherence mode decomposition of random fields
		8.4 Deterministic signal associated with a random stationary field
		8.5 Propagation of field correlations: intuitive picture
		8.6 Stochastic wave equation
		8.7 Wave equation for the deterministic signal associated with a random field
		8.8 Propagation of spatial coherence: van Cittert–Zernike theorem
		8.9 Problems
		References