# Applied Scientific Instrumentation

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multi-immersion_objectives

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 multi-immersion_objectives [2019/06/12 12:44]jon added links to drawings of objectives co-focused multi-immersion_objectives [2019/06/13 03:25] (current)jon [Magnification] Both sides previous revision Previous revision 2019/06/13 03:25 jon [Magnification] 2019/06/12 12:44 jon added links to drawings of objectives co-focused2019/06/12 12:37 jon fixed link to rev b drawing2019/06/12 12:33 jon added links to 3D CAD2019/06/11 15:44 jon [Chemical Compatibility] 2019/06/10 19:31 jon added mass2019/06/06 13:43 jon [Multi-Immersion Objectives] 2019/06/06 13:08 jon [Working Distance] 2019/06/04 18:03 jon [Chemical Compatibility] 2019/05/21 11:01 jon 2019/04/19 18:29 jon ↷ Page name changed from cleared_tissue_objective to multi-immersion_objectives2019/04/01 20:26 jon 2019/03/15 18:15 jon updated drawings2019/03/08 21:08 jon 2019/02/27 16:57 jon 2019/02/26 15:26 jon 2019/02/26 05:35 jon [Location of Back Focal Plane] 2019/02/26 05:33 jon 2019/02/26 03:38 jon rearrange headings2019/02/26 03:32 jon 2019/02/25 22:54 jon massive update to add NA 0.7 objective2019/01/10 19:59 jon [Location of Back Focal Plane] 2018/11/28 21:01 jon [Known Safe Media] 2018/10/01 17:52 jon 2018/10/01 17:50 jon [Numerical Aperture] 2018/09/12 17:54 jon [Magnification] 2018/09/11 16:39 jon updated compatibility statements 2019/06/13 03:25 jon [Magnification] 2019/06/12 12:44 jon added links to drawings of objectives co-focused2019/06/12 12:37 jon fixed link to rev b drawing2019/06/12 12:33 jon added links to 3D CAD2019/06/11 15:44 jon [Chemical Compatibility] 2019/06/10 19:31 jon added mass2019/06/06 13:43 jon [Multi-Immersion Objectives] 2019/06/06 13:08 jon [Working Distance] 2019/06/04 18:03 jon [Chemical Compatibility] 2019/05/21 11:01 jon 2019/04/19 18:29 jon ↷ Page name changed from cleared_tissue_objective to multi-immersion_objectives2019/04/01 20:26 jon 2019/03/15 18:15 jon updated drawings2019/03/08 21:08 jon 2019/02/27 16:57 jon 2019/02/26 15:26 jon 2019/02/26 05:35 jon [Location of Back Focal Plane] 2019/02/26 05:33 jon 2019/02/26 03:38 jon rearrange headings2019/02/26 03:32 jon 2019/02/25 22:54 jon massive update to add NA 0.7 objective2019/01/10 19:59 jon [Location of Back Focal Plane] 2018/11/28 21:01 jon [Known Safe Media] 2018/10/01 17:52 jon 2018/10/01 17:50 jon [Numerical Aperture] 2018/09/12 17:54 jon [Magnification] 2018/09/11 16:39 jon updated compatibility statements2018/09/11 16:33 jon [Table] 2018/09/11 15:32 jon [Known Safe Media] 2018/09/07 17:19 jon 2018/09/07 17:17 jon [Table] 2018/08/03 16:32 melissa Removed sentence ("hoping" for DBE compatibility) and other minor edits2018/07/30 14:03 jon [Magnification] 2018/07/24 16:30 jon [Known Safe Media] 2018/07/18 19:21 jon 2018/07/02 18:30 jon [Spherical and Chromatic Aberrations] 2018/06/20 21:47 jon [Known Safe Media] 2018/06/20 21:44 jon [Known Safe Media] 2018/06/04 16:29 jon [Chemical Compatibility] 2018/05/17 18:19 jon 2018/01/29 20:57 jon [Specifications] 2018/01/29 20:38 jon [Cleared Tissue Objective] 2018/01/04 20:05 jon [RI Range] 2017/12/14 20:16 jon [Chemical Compatibility] 2017/12/12 18:33 jon [Known Safe Media] 2017/12/12 18:30 jon [Chemical Compatibility] 2017/12/12 18:23 jon 2017/10/24 15:41 jon [Table] 2017/10/24 03:22 jon 2017/10/24 02:46 jon 2017/10/24 00:18 jon Line 55: Line 55: Because the magnification depends on the imaging medium, magnification ideally would be measured empirically. ​ However, for most situations estimating the magnification based on the presumed RI of the imaging medium is probably sufficient. Because the magnification depends on the imaging medium, magnification ideally would be measured empirically. ​ However, for most situations estimating the magnification based on the presumed RI of the imaging medium is probably sufficient. - The reason that the effective focal length (and hence magnification) depends on the refractive index of the medium can be understood in a few different ways.  Perhaps the most simple way to understand is to consider the "back aperture"​ of the objective.((The back aperture or pupil is closely related but not identical to the back focal plane)) ​ The NA, the EFL, and the size of the back aperture are related by the following well-known equation BA<​sub>​Ø​ = 2 * NA * EFL.  The NA of the objective is proportional to the RI of the media; this is essentially definitional. ​ The back aperture has a fixed size.  For the equation to hold then the EFL must be inversely proportional to the RI, meaning the magnification is proportional to the RI.  An alternative way of understanding is to consider an off-axis ray which passes through the center of the surface between the first objective element and the media. ​ The ray will be refracted off of the glass/media surface with an angle given by [[https://​en.wikipedia.org/​wiki/​Snell'​s_law|Snell'​s law]] which says the ratio of sin θ to RI is constant. ​ For relatively small angles, sin θ ≈ θ, which means that the outgoing angle of the ray is is inversely proportional to the medium'​s RI.  Hence the the displacement from center of that ray at the image plane is inversely proportional to the RI, which is equivalent to saying that the magnification is changed proportionally by the medium'​s RI. + The reason that the effective focal length (and hence magnification) depends on the refractive index of the medium can be understood in a few different ways.  Perhaps the most simple way to understand is to consider the "back aperture"​ of the objective.((The back aperture or pupil is closely related but not identical to the back focal plane)) ​ The NA, the EFL, and the size of the back aperture are related by the following well-known equation BA<​sub>​Ø​ = 2 * NA * EFL.  The NA of the objective is proportional to the RI of the media; this is essentially definitional. ​ The back aperture has a fixed size.  For the equation to hold then the EFL must be inversely proportional to the RI, meaning the magnification is proportional to the RI.  An alternative way of understanding is to consider an off-axis ray which passes through the center of the surface between the first objective element and the media. ​ The ray will be refracted off of the glass/media surface with an angle given by [[https://​en.wikipedia.org/​wiki/​Snell'​s_law|Snell'​s law]] which says the ratio of sin θ to RI is constant. ​ For relatively small angles, sin θ ≈ θ, which means that the outgoing angle of the ray is is inversely proportional to the medium'​s RI.  Hence the the displacement from center of that ray at the image plane is inversely proportional to the RI, which is equivalent to saying that the magnification is changed proportionally by the medium'​s RI.  Incidentally,​ the same argument suggests that the magnification varies with RI for **all** objective lenses. ===== Numerical Aperture and Resolution ===== ===== Numerical Aperture and Resolution =====