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- Physics Collection

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## Equations

- Hemicylinder Optics Lab
- `alpha(theta_i, n_1, n_2)` for EM waves
- `alpha(theta_i, theta_t)` for EM waves
- `beta(mu_1, mu_2, n_1, n_2)` for EM waves (in an insulator)
- `beta(mu_1, mu_2, v_1, v_2)` for EM waves (in an insulator)
- `d` (attenuating EM wave)
- `k` (attenuating EM wave)
- `kappa` (attenuating EM wave)
- `tilde E_(0_(R_(||)))` at the interface of insulators
- `tilde E_(0_(R_bot))` at the interface of insulators
- `tilde E_(0_(T_(||)))` at the interface of insulators
- `tilde E_(0_(T_bot))` at the interface of insulators
- Angular Frequency
- `tilde k` (attenuating EM wave)
- Atmospheric Loss (Radar)
- Average Power (Radar)
- Brewster's Angle
- Capacitance of a Cylindrical Capacitor
- Capacitance of a Parallel Plate Capacitor
- Capacitance of an Isolated Spherical Shell
- Capacitance of Two Concentric Spherical Shells
- Capacitor q = CV (solved for capacitance)
- Capacitor q = CV (solved for charge)
- Capacitor q = CV (solved for voltage)
- Capacitors in Parallel
- Capacitors in Series
- Critical Angle
- Dielectric Constant (Relative Permittivity)
- Dielectric Constant Lookup
- Duty Factor
- Full-Angular Width
- Gaussian Beam Half-Width
- Gaussian Beam Waist `w_0`
- Grazing Angle
- Index of Refraction Lookup
- Law of Reflection
- Lens Maker's Equation (solved for `f`)
- Lens Maker's Equation (solved for `n_"lens"`)
- Lens Maker's Equation (solved for `n_"medium"`)
- Lens Maker's Equation (solved for `r_1`)
- Lens Maker's Equation (solved for `r_2`)
- Mass-Spring System (angular frequency)
- Mass-Spring System (period)
- Rayleigh Range
- Receiver Antenna Effective Area
- Resistivity Lookup
- Signal-to-Noise (SNR) for SAR (1)
- Signal-to-Noise (SNR) for SAR (2)
- Snell's Law (solved for `n_1` )
- Snell's Law (solved for `n_2`)
- Snell's Law (solved for the angle of transmission)
- Snell's Law (solved for the incident angle)
- SNR Gain Due to Azimuth Processing (coherent pulse integration)
- SNR Gain Due to Range Processing (pulse compression)
- Target Radar Cross Section (RCS)
- Transmitter Antenna Gain Factor (Monostatic SAR)
- Two-Way Atmospheric Loss Rate Lookup (Radar)

## Calculators

- Synthetic Aperture Radar (SAR) Calculator
- Angles of Reflection and Refraction Calculator
- Calculating Capacitance for Common Geometries
- Capacitors
- EM waves (attenuating) in a conductor
- EM Waves at the Interface of two Insulators
- Gaussian Beam Calculator
- Lens Maker's Equation Calculator
- Mass-Spring System