波楽

Fuji Bit

Contains ads

About this app

HARAKU is an interactive educational app that visualizes wave physics in real time. Designed for students, teachers, and anyone interested in science, it allows users to manipulate wave behavior simply by moving sliders, intuitively understanding the connection between equations and phenomena.

Developed by: Fuji Bit Inc.

This is the wave simulation edition of the "HARAKU" physics simulation series. It allows users to understand the concept of waves learned in middle school, high school, and university physics not only through mathematical formulas but also through moving images.

10 types of simulations:

- Superposition: Combine two sine waves and observe constructive and destructive interference. By independently changing the amplitude, frequency, and phase of each wave, you can visually confirm the principle of wave superposition.

- 2D Waves: Tap the screen to place wave sources on a 2D plane. Interference fringes are drawn in real time using numerical solutions of the wave equation using the finite difference method.


- Doppler Effect: By dragging the wave source, you can see the wavefront compressing in front and stretching behind. The frequency difference between two observers is displayed. Shock waves (sonic booms) can also be reproduced at speeds exceeding Mach 1.

- Standing Waves: Observe standing waves generated on a fixed string, changing the harmonic order. The positions of nodes and antinodes, as well as the effects of tension and attenuation, can be checked using sliders.

- Refraction: Visualize Snell's Law. Reproduce the bending of waves at the medium boundary and total internal reflection when the angle of incidence is large.

- Beats: Experience the "beat" that occurs when two waves with slightly different frequencies are superimposed. The red envelope clearly shows amplitude modulation.

- Interference: Observe interference fringes where constructive antinodes and canceling nodal lines are aligned when waves from two point sources are superimposed.

- Diffraction: Visualizes how waves spread through a slit based on Huygens' principle. You can observe how the intensity of diffraction changes by varying the ratio of slit width to wavelength.

- Fourier Synthesis: Visualizes how square, triangular, and sawtooth waves are composed of sums of sine waves (harmonics) of different frequencies. You can observe how the synthesized waveform approaches the target waveform as the number of terms increases.

- Reflection: Visualizes the moment a propagating wave reaches a boundary and reflects. You can observe the difference between phase inversion at a fixed end and phase preservation at a free end by switching between the two perspectives.


Features:
- Smooth 60fps real-time simulation
- Intuitive parameter sliders for hands-on learning
- Physics information sheets with formulas and explanations for each simulation
- Eye-friendly dark-themed canvas
- Light/Dark mode support
- Japanese and English support (automatically follows device language settings)
- No login required, start using immediately upon launch
Pricing and Billing:
- Price: Free
- In-app purchases (IAP): None
- Ads: One banner ad by AdMob
- Subscription: None
Educational App Series "~Raku" Lineup:
- Sugaku (Mathematics)
- Buturaku (Mechanics)
- Denraku (Electromagnetism)
- Haraku (Waves)

What’s new

We have fixed the bug.