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- https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electro-Optics/Book%3A_Electromagnetics_II_(Ellingson)/06%3A_WaveguidesThumbnail: Waveguide flange UBR320 for microwaves. (Public Domain; Catslash via Wikipedia)
- https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electro-Optics/Book%3A_Electromagnetics_II_(Ellingson)This text is intended as the primary textbook for the second semester of an undergraduate engineering electromagnetics sequence. It addresses magnetic force and the Biot-Savart law; general and lossy ...This text is intended as the primary textbook for the second semester of an undergraduate engineering electromagnetics sequence. It addresses magnetic force and the Biot-Savart law; general and lossy media; parallel plate and rectangular waveguides; parallel wire, microstrip, and coaxial transmission lines; AC current flow and skin depth; reflection and transmission at planar boundaries; fields in parallel plate, parallel wire, and microstrip transmission lines; optical fiber; and radiation.
- https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electro-Optics/Book%3A_Electromagnetics_II_(Ellingson)/06%3A_Waveguides/6.09%3A_Rectangular_Waveguide-_TE_Modes\begin{align} \frac{\partial^2}{\partial x^2}\widetilde{H}_x + \frac{\partial^2}{\partial y^2}\widetilde{H}_x + \frac{\partial^2}{\partial z^2}\widetilde{H}_x + \beta^2 \widetilde{H}_x &= 0 \label{m02...\begin{align} \frac{\partial^2}{\partial x^2}\widetilde{H}_x + \frac{\partial^2}{\partial y^2}\widetilde{H}_x + \frac{\partial^2}{\partial z^2}\widetilde{H}_x + \beta^2 \widetilde{H}_x &= 0 \label{m0225_eEfx} \\ \frac{\partial^2}{\partial x^2}\widetilde{H}_y + \frac{\partial^2}{\partial y^2}\widetilde{H}_y + \frac{\partial^2}{\partial z^2}\widetilde{H}_y + \beta^2 \widetilde{H}_y &= 0 \label{m0225_eEfy} \\ \frac{\partial^2}{\partial x^2}\widetilde{H}_z + \frac{\partial^2}{\partial y^2}\widetild…
- https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electro-Optics/Book%3A_Electromagnetics_II_(Ellingson)/10%3A_Antennas/10.12%3A_Equivalent_Circuit_Model_for_Reception%2C_ReduxIn Section 10.10 (“Reciprocity”), we established that a pair of antennas could be represented as a passive linear time-invariant two-port, with v1 and i1 representing the potential and curre...In Section 10.10 (“Reciprocity”), we established that a pair of antennas could be represented as a passive linear time-invariant two-port, with v1 and i1 representing the potential and current at the terminals of one antenna (“antenna 1”), and v2 and i2 representing the potential and current at the terminals of another antenna (“antenna 2”).
- https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electro-Optics/Book%3A_Electromagnetics_I_(Ellingson)/05%3A_Electrostatics/5.04%3A_Electric_Field_Due_to_a_Continuous_Distribution_of_ChargeIt is common to have a continuous distribution of charge as opposed to a countable number of charged particles. In this section, we extend the discrete perspective of charge distributions into the con...It is common to have a continuous distribution of charge as opposed to a countable number of charged particles. In this section, we extend the discrete perspective of charge distributions into the concept of continuous distribution of charge so that we may address this more general class of problems.
- https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electro-Optics/Book%3A_Electromagnetics_I_(Ellingson)/09%3A_Plane_Waves_in_Loseless_Media/9.03%3A_Types_of_WavesSolutions to the electromagnetic wave equations exist in a variety of forms, representing different types of waves. It is useful to identify three particular geometries for unguided waves. Each of the...Solutions to the electromagnetic wave equations exist in a variety of forms, representing different types of waves. It is useful to identify three particular geometries for unguided waves. Each of these geometries is defined by the shape formed by surfaces of constant phase, which we refer to as phasefronts.
- https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electro-Optics/Book%3A_Electromagnetics_II_(Ellingson)/04%3A_Current_Flow_in_Imperfect_Conductors/4.03%3A_Surface_ImpedanceSurface impedance is a materials property that characterizes the AC impedance of a material independently of the length and width of the material.
- https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electro-Optics/Book%3A_Electromagnetics_I_(Ellingson)/04%3A_Vector_Analysis/4.04%3A_Spherical_CoordinatesThe spherical system uses r , the distance measured from the origin;1 θ , the angle measured from the +z axis toward the z=0 plane; and ϕ , the angle measured in a plane of constant z , identi...The spherical system uses r , the distance measured from the origin;1 θ , the angle measured from the +z axis toward the z=0 plane; and ϕ , the angle measured in a plane of constant z , identical to ϕ in the cylindrical system.
- https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electro-Optics/Book%3A_Electromagnetics_I_(Ellingson)/01%3A_Preliminary_Concepts/1.06%3A_UnitsThe term “unit” refers to the measure used to express a physical quantity
- https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electro-Optics/Book%3A_Electromagnetics_I_(Ellingson)/04%3A_Vector_Analysis/4.01%3A_Vector_ArithmeticIn mathematical notation, a real-valued vector A is said to have a magnitude A=|A| and direction a^ such that A=Aa^(4.1.1) where a^ is a unit vector (i.e., a real-valued vector having magnitud...In mathematical notation, a real-valued vector A is said to have a magnitude A=|A| and direction a^ such that A=Aa^(4.1.1) where a^ is a unit vector (i.e., a real-valued vector having magnitude equal to one) having the same direction as A . If a vector is complex-valued, then A is similarly complex-valued
- https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electro-Optics/Book%3A_Electromagnetics_II_(Ellingson)/10%3A_Antennas/10.08%3A_Radiation_PatternThe radiation pattern of a transmitting antenna describes the magnitude and polarization of the field radiated by the antenna as a function of angle relative to the antenna. A pattern may also be defi...The radiation pattern of a transmitting antenna describes the magnitude and polarization of the field radiated by the antenna as a function of angle relative to the antenna. A pattern may also be defined for a receiving antenna, however, we defer discussion of the receive case to a later section.
