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After reading some fundamental mathematics and physics or better to say becoming a sophomore you can start reading these books but absolutely some topics need more than fundamental mathematics and physics. Fundamentals of Photonics (Bahaa Saleh, Malvin Teich): This book provides an introduction to the fundamentals of photonics. Fundamentals of Photonics ...

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Your question includes both the conversion (since you speak of processing) and light propagation. Conversion involves electronics, as @Nasha mentions, and thus is directly impacted by the slew rate. Light propagation speed is reduced (with respect to that in vacuum) by the refractive index of the material. The physics causing the finite slew rate is also ...

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As @Deep Chandra has written, your signal has infinite energy. This is easily justified if you look at definition of the energy and (average) power: $$E_{x} = \int\limits_{-\infty}^{+\infty}|x(t)|^2dt$$ $$P_{x} = \lim\limits_{T_{0} \rightarrow 0}\frac{1}{T_{0}}\int\limits_{-T_{0}/2}^{T_{0}/2}|x(t)|^2dt$$ [For periodic signals with period $T_{0}$ you ...

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The signal is periodic with 2pi. Since the signal here is exponential which is euler's representation for sinusoidal signal, these sinusoidals in turn are periodic signals. Actually you are misleading here in the integration process. Since the integration will result in t with limit as specified which will give us infinite energy as the final answer; which ...

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If you are cooling your object that you wish to hear, then the exact sound will depend on the exact temperature (as given by yuki96's answer at 17nK). However, any temperature above the nanoKelvin temperature scale will sound the same, but the volume will increase with temperature (according to the Stefan-Boltzmann law). The sound of a warm blackbody (such ...

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This problem can be solved with noise-shaping. Since the shape of the spectrum is known, it can be used as a base for the power spectral density: $$P(f,T)=\frac{ 2 h f^3}{c^2} \frac{1}{e^\frac{h f}{k_\mathrm{B}T} - 1}$$ where $k_\mathrm{B}$ is the Boltzmann constant, $h$ is the Planck constant, and $c$ is the speed of light. This outputs the relative ...

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This is not trivial, but is routinely done in laboratories and commercial products (like surround stereo systems). If we consider the strictly physical aspects of sound localization in humans (and probably many other living beings who cannot conscientiously orientate their ears), there are two main phenomena to take into account: 1. Interaural time ...

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