RayLab vs Uncertainty Calculator

RayLab is an application for design and simulation of optics. It can be used either as a learning tool or for the design of real optical systems. Basic version includes: • Ability to model 2D lenses and mirrors • Full control over placement and shape of optical components • Full control over aspheric surface shape parameters • Full geometric ray tracing • Sequential and Non Sequential analysis • Front Focal Length, Back Focal Length, Principle Surface calculations • Sample Models Upgrade to RayLab Pro enables: • 3D Modeling • Advanced Optical Elements such as Lens Arrays, Diffraction Gratings, Prisms, Fresnel Lenses, etc. • Polarization Ray Tracing * Ray Splitting / Beam Splitter modeling • Multi-Configuration Manager and animation functionality • Ability to perform optimizations of design parameters • Ray Transfer Matrix calculation • Various commercial glass catalogs • Zemax Importer • Multiple Analysis Windows: -- Fan Ray Diagram. -- Wavefront Error Plot. -- Grid Distortion Plot. -- Spot Diagram. -- Chromatic Aberration. -- Gaussian Spot Size. -- Polarization Analyzer. Upgrade is available with in-app purchases of various modules OR as a full featured subscription. • The subscription offers a 7 day free trial period. Subscription begins immediately but payment will only be charged to iTunes Account at the end of the trial period. • Subscription automatically renews unless auto-renew is turned off at least 24-hours before the end of the current period. • The account will be charged for renewal within 24-hours prior to the end of the current period, at the same monthly price as the original subscription. • You may manage your subscriptions and auto-renewal may be turned off by going to your iTunes Account Settings after purchase. • No cancellation of the current subscription is allowed during active subscription period. • Any unused portion of a free trial period will be forfeited if the subscription is cancelled. Privacy Policy and Terms of Use: https://www.raymak.com/wp/privacy-policy

Uncertainty Calculator evaluates the error propagation throughout the mathematical expressions comprised of variables of uncertain value. The application allows input of up to three value-error pairs (A, B and C), that can be used as a parameters in the final expression. Error values should be provided in absolute (100 +/- 5) or in relative format, the latter should appear in percent format (100 +/- 5%). The evaluated expression can include numerous functions, that provided by row of the appropriate buttons. Components and functions can be added directly to the expression field by pressing the corresponding buttons. To encompass expression into the preset formula, select the expression and press the corresponding formula button. Particular attention should be paid to placing brackets to avoid equation ambiguity. The application deals with independent, random errors. So if this is a case never use A + A, but rather 2*A and never A*A*A but rather A^3! Obviously, different parameters can be combined in any way (A+B or C *A^2 .. is perfectly fine). Angles for trigonometric functions can be provided in degrees or radians, and that should be reflected by setting a yellow button to "DEG" or "RAD". Bear in mind the importance of units in any of calculations! Implementation Examples: 1.The charge passing through an electrical circuit is defined by: Q = I * t, where I is the current and t is the time. Calculate the total charge value when a current of 0.15 ± 0.01 A passes through the circuit for 120 ± 1 s: Input: A = 0.15 ± 0.01, B = 120 ± 1 The final expression will be A*B, and press Calculate: The final value will be: 18 ± 1.2 Thus, it can be reported the total charge as 18 C ± 1 C. Important! One should only report as many significant figures as are consistent with estimated error! So the value should be rounded to the rightmost decimal place at which error applies. 2. A ball is tossed straight up into the air with initial speed vo = (4.0± 0.2) m/s. After a time t = (0.60 ± 10%) s, the height of the ball is h = vo*t - 0.5gt^2 = 0.636 m (g = 9.80 m/s^2). What is the value and uncertainty of height? Input: A = vo = 4.0 ± 0.2, and B = t = 0.60 ± 10%, then the final expression should be: A*B – 0.5*9.8*B^2 The final value will be: 0.6 ± 0.4 (meters).