A warehouse aisle drops connections while every access point reports full transmit power. Nothing is broken. Adding power will not fix it, and neither will another access point in the wrong place. The signal is arriving twice, half a cycle apart, and cancelling itself. Geometry problem, not a hardware problem.Field work is full of these. A link that runs fine in summer and fades in rain. A coating that reflects when the arithmetic said it should not. A thermal camera bought for the wrong band because nobody checked where the emission peak actually sits at building temperatures. The physics that explains all of it was settled in the 1860s, and most working engineers met it once, passed the exam, and have been operating on rules of thumb since.This book rebuilds that foundation through calculation rather than description. Three hundred problems, worked in full, across fifteen chapters running from wave parameters and phase through energy density, the Poynting vector, intensity, radiation pressure, polarization, boundary reflection and transmission, the spectrum, photons, and dipole radiation. The final chapter combines them into applied problems of the kind that show up in real decisions.Each chapter includes a case study drawn from practical engineering situations (the individuals and companies in them are fictional, the physics and the numbers are not). A field survey at a broadcast site. A fiber span under a tidal channel. A link budget for a mountaintop relay. Station keeping for a satellite under solar radiation pressure. An emergency beacon antenna in cold country. Each one shows the calculation that turned a vague complaint into a specific fix.The numbers are the point. What does 377 ohms of free-space impedance actually constrain? Why does field strength fall as one over distance while intensity falls as one over distance squared, and how many link budgets have been wrecked by confusing the two exponents? Where does the near field end, and why do the standard formulas quietly fail inside it? When someone asks whether a router is dangerous, can you compute the intensity and compare it against a published limit rather than arguing from assertion?Every solution ends with an interpretation paragraph, which is where judgment gets built. A three decibel margin is fragile. Twenty is robust. Knowing the difference in your gut, not just on paper, is what separates a diagnosis from a guess.Algebra, scientific notation and basic trigonometry are enough to work every problem here. No integration. Constants are used at three significant figures throughout, with a note on where precision genuinely matters. Bring a pencil and a calculator.
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