Uploaded June 2022 | Updated September 2026, 3 hours ago
This detailed video on spherical boundaries and lenses provides a rigorous walkthrough of fundamental optics principles, complete with mathematical derivations and practical applications.
What you will learn:
Spherical Refraction: A step-by-step derivation of the refraction equation at a single spherical boundary using Snell's Law and the paraxial approximation.
The Famous Equation: How to derive and use $n_1/z_1 + n_2/z_2 = (n_2-n_1)/R$ for calculating object and image positions.
Conjugate Planes & Magnification: Understanding the relationship between object and image planes, including lateral magnification and image inversion.
Lens Maker’s Formula: Applying spherical boundary principles twice to derive the focal length equation for thin lenses.
Practical Applications: An overview of LED collimators that combine reflection and refraction, plus a look at spherical aberrations and the caustic curve.
Timestamps: 0:00 - Introduction to Spherical Boundaries 1:12 - Deriving the Refraction Equation (Snell's Law) 2:14 - Paraxial Approximation 3:58 - Defining Object and Image Distances ($z_1$, $z_2$) 5:06 - The Spherical Boundary Equation 6:32 - Conjugate Planes and Magnification 8:28 - Introduction to Aberration 8:45 - Case Study: LED Collimators 9:35 - Spherical Lenses & Thin Lens Approximation 10:21 - Lens Maker's Formula 11:50 - The Thin Lens Equation 12:51 - Non-Paraxial Rays and Caustic Curves
If you're studying university-level physics or photonics, this lecture serves as a foundational guide to understanding how light interacts with curved surfaces.
Subscribe for more Physics and Photonics lectures!
This detailed video on spherical boundaries and lenses provides a rigorous walkthrough of fundamental optics principles, complete with mathematical derivations and practical applications.
What you will learn:
Spherical Refraction: A step-by-step derivation of the refraction equation at a single spherical boundary using Snell's Law and the paraxial approximation.
The Famous Equation: How to derive and use $n_1/z_1 + n_2/z_2 = (n_2-n_1)/R$ for calculating object and image positions.
Conjugate Planes & Magnification: Understanding the relationship between object and image planes, including lateral magnification and image inversion.
Lens Maker’s Formula: Applying spherical boundary principles twice to derive the focal length equation for thin lenses.
Practical Applications: An overview of LED collimators that combine reflection and refraction, plus a look at spherical aberrations and the caustic curve.
Timestamps: 0:00 - Introduction to Spherical Boundaries 1:12 - Deriving the Refraction Equation (Snell's Law) 2:14 - Paraxial Approximation 3:58 - Defining Object and Image Distances ($z_1$, $z_2$) 5:06 - The Spherical Boundary Equation 6:32 - Conjugate Planes and Magnification 8:28 - Introduction to Aberration 8:45 - Case Study: LED Collimators 9:35 - Spherical Lenses & Thin Lens Approximation 10:21 - Lens Maker's Formula 11:50 - The Thin Lens Equation 12:51 - Non-Paraxial Rays and Caustic Curves
If you're studying university-level physics or photonics, this lecture serves as a foundational guide to understanding how light interacts with curved surfaces.
Subscribe for more Physics and Photonics lectures!
