Calculator catalog
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Found 18 calculators
Thin lens
Calculates 1/f = 1/d_o + 1/d_i and image classification for a thin lens.
Magnification and image height
Calculates m = -d_i/d_o and h_i = m*h_o.
Optical power
Calculates optical power P = 1/f with focal length in metres.
Snell's law
Solves n1*sin(theta1) = n2*sin(theta2) with arcsine-domain checks.
Critical angle
Calculates theta_c = asin(n2/n1) only for n1 > n2.
Brewster angle
Calculates theta_B = atan(n2/n1) for light incident from medium n1 to n2.
Spherical mirror
Calculates the mirror equation 1/f = 1/d_o + 1/d_i and R = 2f.
Rayleigh resolution
Calculates theta_min = 1.22*lambda/D and small-angle s = L*theta_min for a circular aperture.
Wave equation
Solves v = f*lambda and returns period, angular frequency, and wave number.
Doppler effect
Calculates f_obs = f_src*(v + s_o*v_o)/(v - s_s*v_s) for a stationary medium.
Beats
Calculates beat frequency f_beat = |f1 - f2|.
Standing wave on a string
Calculates speed v = sqrt(Tension/mu_L) and harmonic frequency f_n = n*v/(2L).
Sound pressure level
Calculates SPL = 20*log10(p_rms/p_ref) and inverse p_rms = p_ref*10^(SPL/20).
Sound intensity level
Calculates L_I = 10*log10(I/I_ref), by default relative to 10^-12 W/m².
Sound level summation
Sums a list of levels L_total = 10*log10(sum(10^(L_i/10))) with a 128-value limit.
Geometric spreading
Calculates free-field point-source level drop: L2 = L1 - 20*log10(r2/r1).
Sabine reverberation time
Calculates T60 = 0.161*V/A_eq and A_eq from surface and absorption-coefficient lists.
Acoustic impedance
Calculates plane-wave characteristic acoustic impedance Z = rho*c.