- #1

JamesB

- 1

- 0

## Homework Statement

Consider an optical tweezer operated in the ray optics regime as shown in Figure. Net reflection angle of the ray shown in Figure is θ = 10◦ (See Figure). Since more photons take the thick ray than the thin ray, a net force of F = 1 pN is exerted on the sphere toward the left. The wavelength of the photon is λ = 1000 nm. Let Nthick and Nthin be the number of photons per second in the thick and thin ray, respectively. Find ∆N = N

_{thick}− N

_{thin}.

## Homework Equations

p = h/λ

E = hf

f = c/λ

F = dp/dt

## The Attempt at a Solution

I feel like there is not enough information given in this problem to solve for the total number of photons.

I know in the Ray Optics Regime:

F

_{scat}= (n

_{m}*P)/c(1+Rcos(2Θ

_{R})-T

_{F}

^{2}(cos(2Θ

_{R}-2Θ

_{T})+Rcos(2Θ

_{R})/1 + R

^{2}+ 2Rcos(2Θ

_{T}))

F

_{grad}= (n

_{m}*P)/c(1+Rsin(2Θ

_{R})-T

_{F}

^{2}(sin(2Θ

_{R}-2Θ

_{T})+Rcos(2Θ

_{R})/1 + R

^{2}+ 2Rcos(2Θ

_{T}))

I am not sure with the given information how to manipulate these equations to determine the solution or if I am overthinking. Please Help!